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MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility study Kristinn Hafliðason Eðvald Möller Viðskiptafræðideild Júní 2012

MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

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Page 1: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

MS ritgerð

Viðskiptafræði

Electric Energy Price Arbitrage

Using Battery Energy Storage

Feasibility study

Kristinn Hafliðason

Eðvald Möller

Viðskiptafræðideild

Júní 2012

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Electric Energy Price Arbitrage Using Battery Energy Storage

Feasibility Study

Kristinn Hafliðason

Lokaverkefni til MS-gráðu í viðskiptafræði

Leiðbeinandi: Eðvald Möller

Viðskiptafræðideild

Félagsvísindasvið Háskóla Íslands

Júní 2012

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Electric Energy Price Arbitrage Using Battery Energy Storage

Ritgerð þessi er 30 eininga lokaverkefni til MS prófs við

Viðskiptafræðideild, Félagsvísindasvið Háskóla Íslands.

© 2012 Kristinn Hafliðason

Ritgerðina má ekki afrita nema með leyfi höfundar.

Prentun: Háskólaprent

Reykjavík, Ísland 2012

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Acknowledgements

Many people have contributed to the making of this thesis and their input in

whatever shape or form has been most welcomed.

First I want to thank my advisor Eðvald Möller for believing in this project and for his

theoretical input as well as practical guidance through the whole process.

My good friend Dagur Gunnarsson provided invaluable help with importing,

arranging and managing the seemingly endless data used in the research and without

his help the calculations that provide the backbone of the thesis could not have been

done. Great thanks are also owed to Birgir Jóakimsson, project manager at Promote

Iceland and a graphic design guru who assisted with the design of exhibits and pictures.

I would like to thank my employer Promote Iceland for sponsoring me through my

graduate studies, especially Jón Ásbergsson, Director for allowing me to pursue this

degree and Þórður Hilmarsson, Managing Director of Invest in Iceland for his help and

understanding during my hectic study periods.

Finally I want to thank my family for putting up with me and giving me unlimited

support, especially Hlín Kristbergsdóttir my inspiration and beacon, who showed me

remarkable patience and empathy throughout the entire process. Without her writing

this thesis would have been utterly impossible.

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Abstract

The following thesis is a study into the feasibility of exploiting the inefficiencies of an

openly traded electricity market by buying low cost electricity storing it in electric car

batteries and reselling it to the market. To assess the feasibility a hypothetical project

with all necessary equipment, infrastructure and personnel is set up and 15 years of

daily electricity trading operation are calculated using the Discounted Cash Flow method

and Net Present Value then used to determine the feasibility of the project. 29 energy

systems on five power markets were tested and the result of the research is that it is

feasible to conduct electric energy price arbitrage on four of the twenty nine systems:

SoCal

San Diego

SP-15

Long Island

The present value of the cash generated in the operation on these systems was

higher than the value of the cash needed to set it up, i.e. it is economical to spend the

money in setting up the facilities and the operations because the cash generated by the

business more than compensates the initial investment, even with opportunity costs,

risk and time value of money taken into account.

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Table of Contents

Acknowledgements .................................................................................................... 4

Abstract ...................................................................................................................... 5

Table of Contents ....................................................................................................... 6

List of Figures ............................................................................................................. 9

List of Tables ............................................................................................................ 10

1 Introduction ....................................................................................................... 11

2 Electricity ........................................................................................................... 14

2.1 Peak Power Problem .................................................................................. 16

2.2 Energy storage ............................................................................................ 20

2.2.1 Battery Energy Storage Systems ......................................................... 24

2.2.2 Compressed Air Energy Storage Systems ........................................... 25

2.2.3 Superconducting Magnetic Energy Storage Systems ......................... 25

2.2.4 Pumped Hydro Energy Storage Systems ............................................. 26

2.2.5 Flywheel Energy Storage Systems ...................................................... 26

2.3 Energy Storage Legacy................................................................................ 27

3 The Electric Car .................................................................................................. 30

3.1 Term ........................................................................................................... 30

3.2 History ........................................................................................................ 30

3.3 Race to popularity ...................................................................................... 31

4 Prerequisites ...................................................................................................... 34

4.1 Open electricity market .............................................................................. 34

4.2 Access to batteries ..................................................................................... 34

5 Model Limitations .............................................................................................. 36

5.1 Terminal value ............................................................................................ 36

6 Research ............................................................................................................ 37

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6.1 Finding data ................................................................................................ 37

6.2 Arranging the data ..................................................................................... 38

6.3 Two scenarios ............................................................................................. 39

7 Financial Model ................................................................................................. 42

8 Assumptions for Financial Model ...................................................................... 47

8.1 Revenue ...................................................................................................... 47

8.2 Capital expenditure .................................................................................... 49

8.3 Operational expenditure ............................................................................ 50

8.4 Depreciation ............................................................................................... 51

8.5 Debt ............................................................................................................ 52

8.6 WACC .......................................................................................................... 52

8.7 Tax .............................................................................................................. 54

8.8 Batteries ..................................................................................................... 54

9 Results ................................................................................................................ 55

9.1 Projected ..................................................................................................... 55

9.2 Actual .......................................................................................................... 56

10 Sensitivity ....................................................................................................... 59

10.1 Single dimension analysis ........................................................................... 59

10.1.1 Spider charts ....................................................................................... 60

10.1.2 Tornado charts .................................................................................... 61

10.2 Two dimensional analysis ........................................................................... 63

10.2.1 Matrix data tables ............................................................................... 63

11 Discussion ....................................................................................................... 65

11.1 Groundwork ............................................................................................... 65

11.2 Research ..................................................................................................... 67

11.3 Limitations .................................................................................................. 68

11.4 Next steps ................................................................................................... 69

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11.4.1 Fixing underlying cost assumptions .................................................... 69

11.4.1.1 Electric equipment contracts .......................................................... 69

11.4.1.2 Contacting CALED and ESD .............................................................. 69

11.4.1.3 EPC contract .................................................................................... 70

11.4.1.4 HR information ................................................................................ 70

11.4.1.5 Electric grid operator ...................................................................... 70

11.4.2 Designing and engineering.................................................................. 70

11.4.2.1 Computer system ............................................................................ 70

11.4.2.2 Battery system ................................................................................ 71

11.4.3 Acquiring batteries .............................................................................. 71

11.4.3.1 Partnership with auto manufacturer .............................................. 71

11.4.3.2 Recycling intermediate ................................................................... 72

11.4.3.3 Environmental incentives ................................................................ 72

11.4.3.4 Political incentives ........................................................................... 72

12 Conclusion ...................................................................................................... 73

13 References ..................................................................................................... 74

Exhibits ..................................................................................................................... 77

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List of Figures

Figure 1 - Global Electricity Generation by Source ........................................................... 15

Figure 2 - Supply Curve for Kraftwerk Power Company ................................................... 17

Figure 3 - Supply Curve for the Town of Kraftstadt .......................................................... 17

Figure 4 - Supply and Demand Curves Matched Together ............................................... 17

Figure 5 - Surplus and Deficit of Power with 50MW Production ..................................... 18

Figure 6 - Surplus and Deficit of Power with 60MW Production ..................................... 19

Figure 7 - Surplus and Traded Power with 65 MW Production ........................................ 19

Figure 8 - Picture of a Battery Energy Storage System ..................................................... 24

Figure 9 - Diagram of a Compressed Air Storage System ................................................. 25

Figure 10 - Diagram of Superconducting Magnetic Storage System ................................ 25

Figure 11 - Diagram of Pumped Hydro Storage System .................................................... 26

Figure 12 - Diagram of a Flywheel Energy Storage System .................................................. 26

Figure 13 - Nissan Leaf Electric Car ................................................................................... 32

Figure 14 - Mitsubishi MiEV Electric Car ........................................................................... 32

Figure 15 - Ford Focus Electric Car ................................................................................... 35

Figure 16 - BMW i3 Electric Car ........................................................................................ 35

Figure 17 - Geographical location of US Power Markets ................................................. 37

Figure 19 - 2MW Storage Unit in Bluffton, Ohio .............................................................. 44

Figure 20 - 8MW Storage Unit in Johnson City, NY .......................................................... 45

Figure 21 - Spider chart for Long Island, Linear representation of each

assumption's effect on NPV of Investment .......................................................... 61

Figure 22 - Absolute Value of each Assumption's Effect on NPV of Investment ................ 62

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List of Tables 

Table 1 – All Five Markets and 29 Systems ...................................................................... 38 

Table 2 ‐ Gross Margin for all 6 Systems in California ...................................................... 40 

Table 3 ‐ Increase for all 6 Systems on the PJM Market .................................................. 41 

Table 4 ‐ Revenue Inputs .................................................................................................. 42 

Table 5 ‐ IRR and NPV of Investment ................................................................................ 42 

Table 6 ‐ IRR and NPV of Equity ........................................................................................ 43 

Table 7 ‐ Short‐ and Long Term Increase .......................................................................... 43 

Table 8 ‐ Actual Increase on System ................................................................................. 43 

Table 9 ‐ Operational Cost Inputs ..................................................................................... 44 

Table 10 ‐ Investment Inputs ............................................................................................ 45 

Table 11 ‐ Financing Input ................................................................................................ 45 

Table 12 ‐ All Revenue Inputs ........................................................................................... 47 

Table 13 ‐ Median Increase .............................................................................................. 48 

Table 14 ‐ Average Increase ............................................................................................. 48 

Table 15 ‐ Investment Inputs ............................................................................................ 49 

Table 16 ‐ Operational Cost Inputs ................................................................................... 50 

Table 17 ‐ Depreciation Inputs ......................................................................................... 51 

Table 18 ‐ Debt Inputs ...................................................................................................... 52 

Table 19 ‐ WACC Inputs .................................................................................................... 53 

Table 20 ‐ Four Systems with Sufficient Return on Investment and Equity ..................... 55 

Table 21 ‐ Six Systems with Sufficient Return on Investment .......................................... 56 

Table 22‐ Twelve Systems with Sufficient Return on Investment .................................... 57 

Table 23 ‐ Three PJM Systems with Actual Increase Applied for Two Years .................... 58 

Table 24 ‐ Assumptions Tested for Single dimension analysis ......................................... 60 

Table 25 ‐ Inputs and Corresponding Outputs for Long Island Tornado Calculations ............ 62 

Table 26 ‐ Matrix Data Table Long Island with WACC and Increase in Power Prices ....... 63 

Table 27 ‐ Matrix Data Table Long Island Equity with Return on Equity and Increase in 

Power Prices .......................................................................................................... 64 

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1 Introduction

This thesis studies the feasibility of buying electricity on an openly traded electricity

market, storing it in electric car batteries and reselling it to the market. The approach

used for assessing the feasibility is to set up a hypothetical project with all necessary

equipment, infrastructure and personnel and then evaluate 15 years of daily electricity

trading operation with the Discounted Cash Flow (DCF) method. The Net Present Value

(NPV) of the project is calculated and if the outcome is positive the project is feasible.

The study deliberately ignores important aspects of a potential energy storage project

which will be addressed in the “Model Limitations” chapter of this thesis. The issues left

out of the study are:

Cost of batteries

Environmental impact

o Recycling of batteries

o Reduction of fossil fuel usage

Political importance

This is done for simplicity’s sake – if trading turns out to be feasible then then these

important aspects can be further investigated and quantified, if not then there is

unlikely any need to.

The idea behind this thesis is to benefit from the limitations of electricity as energy

source and the inherent inefficiencies of its market though breakthroughs in Battery

Energy Storage technology to conduct “virtual arbitrage” on the electric spot market1.

Electric energy price arbitrage exploits wholesale electricity price volatility and diurnal variability. Benefits accrue when storage is charged using low-priced off-peak energy, for sale when energy price is high (Schoenung & Eyer, 2008, p. 28).

1 The transactions are not arbitrage by definition because neither are the transactions between markets, nor do they occur at the same time. The phrase is coined because the ability to store electricity gives the possibility of a virtual risk free trading on a daily-cyclical market.

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The business idea is to buy electricity at low prices during off-peak hours, store it in a

battery storage systems using batteries from Battery Electric Vehicles (BEV) and then

selling it again for a higher price at peak hours.

This thesis is put forward in 12 chapters. The main topic is a feasibility study on

electric arbitrage, based on energy storage. In order to investigate if it is financially

feasible to trade energy you must first determine if it is technologically possible before

the economic assumptions are applied and tested. Therefore electricity and its physical

attributes will be examined as well as previous research on energy storage and

technologies. The most widely used technologies will be studied to figure out which one

would best fit the project. By a process of elimination battery storage technology is

deemed the best and most relevant process and the lithium ion battery is chosen by

applying one of the prerequisites for the idea and by looking at the global trend of

automobile manufacturers.

The feasibility study ignores important inputs and these limitations and the reasons

for them will be explained before the research is introduced. The data gathering, the

setup and scenarios is then explained as well as all the underlying assumptions that

the results are based on. Consequently, the results are further analyzed to see how

sensitive the conclusions are to variations in the most relevant underlying

assumptions. Finally findings were discussed, a course of action recommended and

the thesis concluded.

The first chapter is an introduction to the basic idea and the structure of the thesis is

described therein. The second chapter reviews common knowledge on electricity,

where electricity itself, the history behind it and how men have gradually gained control

over harnessing it is investigated. The different types of generation methods are

explained and also the mismatch between efficient production of electricity and

electricity usage. This mismatch is the underlying precondition for the research and is

explained in the thesis as the “peak power problem”. Following the discussion of the

peak power problem a quick look is made into the different technologies man has

created to store electricity and the most common technologies were discussed to find

out which would best fit the project.

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The topic of the third chapter is the electric car, its history and how recent trends

suggest that it will rise in popularity over the next few years.

The two basic prerequisites for this research are detailed in chapter four, as well as

how they will be fulfilled. Chapter five includes a list of the limitations of the model and

a discussion on why certain critical political and environmental aspects were

purposefully left out.

Chapter six is devoted to the research which is explained in details. The electrical

markets and the 29 systems that operate within these markets are introduced as well as

the process of data gathering and its setup. This chapter also contains a discussion on

the two scenarios that are presented in the research.

The next two chapters address the core of the feasibility study as they introduce and

explain the intricacies and conditions of the financial model. In chapter seven the model

is presented and its numerous inputs are thoroughly explained. Chapter eight, on the

other hand, deals with the assumptions of the financial model. Because the

assumptions are the pillars on which the result is based on it is of paramount

importance to explain these assumptions attentively, therefore all eight categories of

assumptions are introduced, explained and justified in this chapter.

Chapter nine includes the major findings of the study and the results of all 29

systems in both scenarios are explained in details. Chapter ten contains a sensitivity

analysis of the assumptions introduced in chapter eight. First the assumptions are

tested to find out which ones have the most influence on the outcome and then three

of the most influential ones are taken and the main results from chapter nine are tested

with two of them varying at the same time.

A discussion on the outcome of the thesis is conducted in chapter eleven. It starts

with a short and concise passage on the core findings, followed with a general

discussion of the thesis and its results. In this chapter the limitations of the model are

explained and potential action plane introduced.

Finally there is a short chapter where it is concluded that the venture is feasible on 4

of the 29 systems investigated and that additional steps should be taken to insure that

the idea will be taken forward.

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2 Electricity

The existence of electricity is a well-known fact in the modern day life. Different

phenomena such as lightning, static electricity, and electric current do all result from

the presence and flow of electric charge that fall under our definition of electricity. The

modern man recognizes the feeling of getting a small electric shock from a door knob

when he walks on his carpet with socks on, most of us have seen lightning bolts in the

sky, and we take for granted that we can power our stereos and TV sets (and charge our

phones) from the electric socket in the wall.

But the existence of electricity has been known by men for millennia. Around 2500

BC, the ancient Egyptians spoke of the “Thunderer of the Nile” that was “the protector”

of all fish and the Greeks, Romans and Arabics also referenced these electric eels

centuries later (Moeller & Kramer, 1991). Around 600 BC Thalus of Miletus started

experimenting with static electricity and found that amber, when rubbed, would shoot

sparks and attract small (and light) objects. The term electricity, however, wasn’t

adopted into the English language until 1646, following William Gilbert’s research on

electricity and magnetism (Stewart, 2001). Further research was conducted in the

following years and in the early 18th century Alessandro Volta invented the battery and

Michael Faraday the electric motor (Kirby, 1990). In the late 19th century, following the

works of men like Tomas Alva Edison, Nikola Tesla, Werner von Siemens and Alexander

Graham Bell electricity was elevated from being a scientific research project into being

the driving force of the Second Industrial Revolution.

Today, electricity is both commonplace and necessary. The majority of the human

race is completely dependent on electricity. It powers our cities, our households and

our businesses, and most of our industries are powered by (and dependent on)

electricity. In the USA alone the electricity usage was little shy of 4 Terawatt hours (4

billion kWh) in 2009 (us energy Information Administration, 2009). To put that into

perspective the electricity used in the USA in 2009 alone could power a normal 45 watt

light bulb for 10 billion years2.

2 45 watt bulb lit continuously for a whole year uses: 45 x 8760 ≈ 400,000 Wh (400 kWh). 4,000 billion divided by 400 is 10 billion.

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However, electricity has its limitations. It is a secondary energy source, and as such it

has to be produced or created from another source of energy. The most common ways

of producing electricity is by coal, which represents more than 40% of the world’s

electricity generation. Other methods include gas, hydro, nuclear, oil and other

renewables (in a descending order, see Fig. 1)

Once generated,

electricity is impossible to

store in its current form, it

has to be converted to a

different energy form for

storage and then

reconverted into elec-

tricity. This means that

electricity has to be

produced when it is to be

used. If one looks at the modes of electricity production one can see that a vast

majority of electricity production is performed by large scale power plants, generating

tens and often hundreds of megawatts (MW) of power. Such large plants represent

enormous capital investment with fairly low operational costs. Therefore, it is most

economical to run such facilities as close to full capacity as possible to minimize waste

and inefficiencies. It is true that capital versus operational cost inequalities are more

blatant with hydro and nuclear power plants than with fossil fuel plants. Nonetheless, it

holds true that it is most economical for all facilities to run at capacity. In short, the

supply part of the electricity market prefers stable output with minimal variations.

However, this does not hold true with the demand part of the market.

The demand part can be divided into two brackets, a) the power

intensive/dependent users and b) the general users. In the first bracket you would find

heavy industries such as metal smelting and forging, chemical industry, data storage,

etc. Quite often these industries utilize their energy almost every hour of every day of

the year (8760 hours/year) and thus are the backbone (and obvious favorites) of the

power producers. In the second bracket you find basic consumers and everyday

Figure 1 - Global Electricity Generation by Source

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industries: supermarkets, offices, households, etc. The players in the second bracket do

not have a flat utility rate of electricity, i.e. they neither use the same amount of energy

constantly throughout the year nor within a single day. The second bracket represents

fractional (and very cyclical) demand dictated by everyday life. Because of this, power

demand spikes around 6:00-7:00 when people are waking up, turning on their lights,

toasting their bread and shaving their faces, when offices come to life and stores are

opened. And then there is another spike in the demand around 18:00-19:00 when

people come home and start cooking dinner and turning on their TV’s and computers.

2.1 Peak Power Problem

This fractional demand of electricity creates the issue that can be referred to as peak

power problem. The demand for electricity is not constant through the course of the

day or between different times of year, it fluctuates. Very little electricity is consumed

during the night when the majority of the population is asleep and activity is at a

minimum whereas the consumption shoots up during the day as the world comes alive

to create a peak in the demand. The supply, however, is kept relatively stable (for it is

most efficient to run a power plant at a stable load), and because electricity does not

store easily there has to be enough production to meet these peaks in demand.

Let’s draw a small picture of this problem with a fictional example and create the

small town of Kraftstadt with 50.000 inhabitants. The maximum energy consumption of

each individual in this town has grown from 1.000Wh a few years ago to 1.249Wh

(1,25kWh) today, i.e. during the peak hour of the day every person in Kraftstadt

consumes 1,25kWh of electricity. Let’s also assume that the people of Kraftstadt follow

a general consumption cycle of electricity, consuming between 50-60% of the max load

between the hours of 00:00 and 6:00, going up to about 80% in the morning and during

the day, and peaking over dinner with consumption around 70-80% for the TV hours of

the night. We will also create the Kraftwerk power company (located in Kraftstadt), an

old utility with a generation capacity of about 55MW of power.

Because of the recent increase in energy consumption of the townspeople, Kraftwerk

has to expand their generation capacity. Now they can supply the town with 50MW of

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power very easily but that is not enough. But how should they go about expanding? It is

obvious from the discussion above that it is most economical for Kraftwerk to run at

close to full capacity, but what kind of inefficiencies and waste does that entail?

To visualize the

problem, the supply curve

of Kraftwerk’s power

supply can be drawn (see

Fig. 2). The current

generation is at 50MW

and as mentioned above

it is most economical for Kraftwerk to keep their output constant.

The demand curve for the town of Kraftstadt can also be drawn up (see Fig. 3). It is at a

minimum during the depth

of night, rising during the

day and reaching

maximum around dinner

time and through the TV

hours on the evening.

If these charts are

combined it is easy to see

how the supply and demand of power differs through the course of the day (see Fig

4). In the morning the stable production of power plant far exceeds the needs of the

town, while during the day and afternoon the supply and demand harmonize rather well

but late afternoon and

early evening the need for

power is far more than

the power company

produces.

But what do these

curves mean as regards

Figure 2 - Supply Curve for Kraftwerk Power Company

Figure 3 - Supply Curve for the Town of Kraftstadt

Figure 4 - Supply and Demand Curves Matched Together

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to the inefficiencies of the system? To make it easier to comprehend one needs to look

at the areas below the respective lines. As the lines represent the supply and demand of

power (in MW), the area below them depict the energy produced and consumed (see

Fig. 5).

The area below the

blue line but still above

the red line is light blue

and represents a surplus

of power in the system

and the area under the

red line in salmon pink

represents the power that is traded in the system. Finally, the area under the red line

but above the blue line is green and represents a deficit of power in the system.

During the night Kraftwerk is generating a lot of energy with which is wasted, during

the majority of the day Kraftwerk is able to meet the demand of the people of

Kraftstadt but between the hours of 17:00 and 21:00 there is a serious lack of power to

meet the peak demand.

At the moment the people of Kraftstadt are relying on their neighboring town of

Machtburg to supply them with power during the peak hours. In addition to be hurting

their pride it is also emptying their wallets because the Machtburgers are charging them

triple for the peak power. All the while, the overproduction of Kraftwerk is 99MWh/day

(the sum of the light blue colored area) but because electricity cannot be stored, this

energy goes to waste.

Initially the board of Kraftwerk introduced a solution to the town council of Kraftstadt.

Kraftwerk would raise production capacity to 60MW and thus cover the complete

electricity demand of the day, save for the hour beginning at 18:00 (see Fig. 6).

Figure 5 - Surplus and Deficit of Power with 50MW Production

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This solution would

save Kraftwerk substantial

investment cost and even

though they could not

supply power over the

dire peak hours they

pointed out that with this

solution (even without generation to cover the peak hours) energy wasted would

amount to 337MWh/day (blue shaded area). The town council did not like this idea one

bit, they were not going to let the Machtburgers overcharge them for energy. So a

second solution was devised, one where Kraftwerk would raise its capacity to 65ME to

cover ALL demand, including the peak hours (see Fig. 7).

The second solution

was accepted and today

Kraftwerk produces

65MW of power and is

able to supply the whole

town of Kraftstadt, even

during peak hours. This

solution results in

Kraftwerk wasting 395MWh of energy every day.

This highly simplified example explains the peak power problem. Of course power

generators are able to vary their production to some extent, and of course other factors

come into play in a major electricity market. But the principle maintains that there are

inefficiencies in the power market because of the mismatch of preferences between the

producers and off takers. This is the underlying precondition for this research. Because

there are different levels of demand for electricity through the course of the day while it

is economical to keep the supply relatively stable price swings are created on the

market. If it is possible to store electricity, one can buy it when demand is small and

prices are low and resell it at higher price when demand soars.

Figure 6 - Surplus and Deficit of Power with 60MW Production

Figure 7 - Surplus and Traded Power with 65 MW Production

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As can be seen the electricity market has inherent inefficiencies and people have

been studying energy storage for number of years to try to mitigate and minimize these

inefficiencies. Much research has been done on the subject, and many possible

technologies have been explored and tested. These researches are giving increasingly

better results and applications are slowly getting closer to be economically viable. The

solution to cost effectively store energy therefore looks to be close at hand.

2.2 Energy storage

Storing energy is by no means novel or new, and in fact it is an inherent part of nature.

Energy is stored in all living organisms, plants convert the energy from the sun and store

it in chains of carbohydrates and humans convert the energy from carbohydrates and

store it in fat. Even for industrial or commercial applications, energy storage is ancient

and records dating back to the 11th century talk of flywheel applications (waterwheel)

for harnessing and storing energy.

In modern day vocabulary however, energy storage is referred to when energy is

collected for later use.

The fundamental idea of the energy storage is to transfer the excess of power (energy) produced by the power plant during the weak load periods to the peak periods (Ibrahim, Ilincia & Perron, 2007, p. 393).

The problem with electricity (as mentioned above) is that it is a secondary power

source and cannot be stored in its current state.

Initially electricity must be transformed into another form of storable energy (chemical, Mechanical, electrical, or potential energy) and to be transformed back when needed (Ibrahim et al., 2007, p. 393).

To understand how energy storage works it is helpful to remember that energy can

take on many forms and any of those forms can potentially be used to store electric

energy. This is exactly what scientists are doing all over the world, they are exploring

methods of converting electricity into one of the many forms for storage and then

reconverting it back to electricity.

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The different techniques of storage can be divided into categories based on the form

of energy they exploit. One of the most elemental of energy storage is the one

mentioned in the openings of this chapter, the biological energy storage. Nature found

a way to preserve solar energy through photosynthesis, i.e. capture solar energy and

store it as hydrocarbons. This principle can be utilized in storing energy. No one has yet

figured out a way to convert sunlight directly into a storable energy form but instead

other forms of energy can be used and converted into hydrocarbons. The most common

types of Biological Energy Storage are:

Starch

Glycogen

Methanol

Ethanol

Just as biological energy storage is a key aspect of biological functioning, so too has

mechanical energy storage become a key aspect of the functioning of human society. Ever

since we have understood the causal connection between energy and its effects we have

explored ways to mechanically control and store it. In simple terms mechanical energy is

the energy associated with the motion and position of an object, and the applications of

this were discovered fairly quickly. Men found out that if they stuck a paddled wheel in a

running stream, the energy of the water would turn the wheel, which in turn could turn a

device (e.g. a millstone for wheat and corn). They also figured out that if they carried a

large (heavy) stone up and kept it at an elevated position, the position of the stone and

the velocity of its decent would release great energy when released. The most common

types of Mechanical Energy Storage are:

Compressed air energy storage

Flywheel energy storage

Hydraulic accumulator

Hydroelectric energy storage

Spring

Gravitational potential energy

Once mankind developed a little more sophistication in its approach to science a

whole new world opened up, the world of chemistry. Following in the footsteps of

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Boyle, Lavoisier and Dalton in the 17th and 18th century, chemists started to apply

scientific method to a concentration of a set system of elements that all are composed

of atoms. Advances were rapidly made and one discovery was the chemical bonds that

keep atoms together to create elements or compounds. It was also discovered that

making or breaking these bonds involves energy that can be absorbed or evolved. This

opened up the possibility of storing energy within chemicals. The most common types

of Chemical Energy Storage are:

Hydrogen

Biofuels

Liquid nitrogen

Oxyhydrogen

Hydrogen peroxide

The 18th and 19th century also saw huge advances in the fields of electric- and

magnetic science, and in the middle of the 18th century the first electrostatic generator

was constructed. Static electricity could be stored in a jar and released when needed.

Further research into the matter revealed that an electric field could be created to store

energy. The most common types of Electrical Energy Storage are:

Capacitor

Supercapacitor

Superconducting magnetic energy storage

Parallel to research into electric energy, chemists and physicists would look into

possibilities of storing energy by combining the principles of chemistry and electricity. In

1800 Alexander Volta introduced the first battery (voltaic pile) and John F. Daniell

improved the technology with his new design (Daniell Cell). Obviously modern

technology has advanced the design and sophistication of electrochemical storage but

the principle remains, it is a device that creates current from chemical reactions (or

reversed, creates chemical reactions by a flow of current). The most common types of

Electrochemical Energy Storage are:

Batteries

Flow batteries

Fuel cells

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The last storage technique mentioned in this thesis is thermal energy storage.

Thermal energy is the energy that dictates the temperature within a system. If a system

(say a room) is at a stable temperature, you need additional energy to

increase/decrease the temperature of an object within that system. This principle can

be applied to energy storage. If you know that you need to cool a system in the future

and you also know that energy will be scarce and expensive at that time, you can use

the abundant energy that you currently have to create ice, you then store that ice in an

insulated container until you apply it to cool the system. The most common types of

Thermal Energy Storage, apart from Ice Storage are:

Ice Storage

Molten salt

Cryogenic liquid air or nitrogen

Seasonal thermal store

Solar pond

Hot bricks

Graphite accumulator

Steam accumulator

Fireless locomotive

Eutectic system

This list of storage systems is neither detailed nor exhaustive, but is intended to give

a good indication of the vast possibilities for energy storage. But even though storage

technologies are numerous, some are better (and/or more) researched than others and

some have been applied and have been in use for decades. The most commonly studied

and commercially applied technologies are:

Battery Energy Storage (BES)

Compressed Air Energy Storage (CAES)

Superconducting Magnetic Energy Storage (SMES)

Pumped Hydro Energy Storage (PHES)

Flywheel Energy Storage (FES) systems

These are the most popular and advanced technologies for energy storage but their

characteristics and physical scope are quite different as are the applications that apply

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to them. To take a decision on which of them best fits for electricity arbitrage a short

investigation of the technologies needs to take place.

2.2.1 Battery Energy Storage Systems

As the name suggests, BES systems consist of a number of batteries stacked together as

a unit to store energy. There are many different types of batteries (different chemistries

used for the storage process) but they can be divided into two categories:

Electrochemical batteries and Flow batteries. In this thesis the emphasis will be on

electrochemical batteries.

The electrochemical batteries comprise of electrochemical cells that use chemical

reaction to create electric current. The primary elements of these cells are the

container, the anode and cathode

(electrodes), and some sort of

electrolyte material that is in contact

with the electrodes. Within the cell

there is a chemical reaction between

the electrolyte and electrodes which

creates the current needed. During the

discharge phase, oxidation occurs when

electrically charged ions in the

electrolyte close to one of the

electrodes supply electrons and to complete the process reduction occurs with ions

near the other electrode accept electrons. To recharge the battery this process is

reversed and the electrodes are ionized.

There are numerous different chemistries used for this process, including lead-acid,

lithium-ion (Li-ion), nickel-cadmium (NiCad) and sodium/sulfur (Na/S) and others (Eyer &

Corey, 2010; Divya & Østergaard, 2008; Kinter-Meyer et al., 2010; Davidson et al., 1980;

Krupka et al, 1979).

Figure 8 - Picture of a Battery Energy Storage System

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2.2.2 Compressed Air Energy Storage Systems

As the name suggests CAES involves

using low cost energy to compress air

that is later used to regenerate

electricity. The compressed air is

converted into electricity by a

combustion turbine, i.e. the air is

released and heated and then sent

through the turbine to generate

electricity. The storage vessel for the

compressed air varies depending on the

scale of the project. For smaller projects the air can be stored in tanks or large on-site

pipes (e.g. high-pressure natural gas transmission pipes) while in larger projects you

would need underground geologic formations, like natural gas fields, aquifers or salt

formations (Schilte, Fritelli, Holst & Huff, 2012; Agrawal et al., 2011; Eyer & Corey, 2010;

Davidson et al., 1980; Krupka et al., 1979).

2.2.3 Superconducting Magnetic Energy Storage Systems

In a SMES system energy is stored in a

magnetic field that is created by a flow

of direct current in a cryogenically

cooled superconducting coil. The system

contrives of three elements: the

cryogenically cooled refrigerator, a

superconducting coil, and a power

conducting system. If the coil is kept at a

temperature lower than its super-

conducting critical temperature the

current will not degrade and the energy can be stored indefinitely (Sander & Gehring,

2011; Eyer & Corey, 2010; Davidson et al., 1980; Krupka et al., 1979).

Figure 9 - Diagram of a Compressed Air Storage System

Figure 10 - Diagram of Superconducting Magnetic Storage System

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2.2.4 Pumped Hydro Energy Storage Systems

The idea behind PHES is to reverse the

generating process of a hydroelectric plant

to store the energy contained within the

water’s mass. Hydro electricity is

produced by collecting water into

reservoirs and then running it through

turbines to generate electricity. In order to

have a PHS system as part of your plant,

the only addition to an ordinary hydro-

power station is a second reservoir to

collect the water running through the

turbines. At times when energy is inexpensive the turbines can be reversed to pump the

water from the lower reservoir into the elevated one. There it stays until it is feasible to

run it through the turbines again to generate electricity (Agrawal et al., 2011; Eyer &

Corey, 2010; Davidson et al., 1980; Krupka et al., 1979)

2.2.5 Flywheel Energy Storage Systems

The FES system stores energy through

the kinetic energy in rotating masses. The

mechanism of a FES system consists of a

fast spinning cylinder with shaft within an

enclosed vessel. Modern engineering

include a magnet to levitate the cylinder

and minimize friction and wear. The shaft

is connected to a generator that converts

electric energy into kinetic energy

(increases the speed of the cylinder). The

Figure 11 - Diagram of Pumped Hydro Storage System

Figure 12 - Diagram of a Flywheel Energy Storage System

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stored energy can be converted back to electricity via the generator, slowing the

flywheel’s rotational speed (Eyer & Corey, 2010; Eyer, 2009; Davidson et al., 1980;

Krupka et al., 1979)

2.3 Energy Storage Legacy

With the introduction of new power previous production methods (wind, solar, tide,

etc.) the need for a simple solution to energy storage has become increasingly

important. The incompatibilities of the new environmentally friendly power production

and the cyclical nature of power demand creates a need for an equalizing solution on

the power grid. The new green power solutions are incapable of producing energy to

meet fluctuations in demand, their production capabilities are completely dependent

on existence of the primary power source (sun light, wind, waves, etc.). And for this

reason the systems operators and governing bodies are looking towards energy storage

as a possible solution (Srivastava, Kumar & Schulz, 2012). But although utilities and

transmission systems operators are increasingly interested in new advances in energy

storage to balance systems and fight inefficiencies, this topic has been researched and

developed for quite some time.

In 1979 the Los Alamos Scientific Laboratory of the University of California issued a

paper on energy storage technologies where

…the energy storage technologies under study included: advanced lead-acid battery, compressed air, underground pumped hydroelectric, flywheel, superconducting magnet and various thermal systems (Krupka et al., 1979, p. 2)

And later that year another paper was issued by the Central Electricity Generating

Board where the same technologies (with the addition of compressed air) were studied

(Davidson et al., 1980). It is therefore evident that the history of modern day energy

storage technologies dates back decades.

As mentioned above, the inherent inefficiencies of the electric system is what

sparks most research into energy storage. Scholars, scientists and engineers are

curious to find ways to make generation, transmission and distribution of this most

popular energy source more economical and less wasteful. To that end, every angle of

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the problem is diagnosed. Different types of applications have been identified for

different needs, whether it is to balance the supply capacity or for voltage support or

to relief transmission congestion. Different applications apply to different problems

and this involves different types of storage solutions. The various storage technologies

are not all equally suited for all storage applications. The applications where you only

need to store small amounts of energy but need high power output for relatively short

periods of time can be thought of as “power applications”, whereas applications

where you need more energy capacity for a larger periods of time can be called

“energy applications”. The technologies that fit the former applications are SMES and

FES systems, while PHES, CAES and most BES systems are more suited for the latter

(Eyer & Corey, 2010).

In this thesis the intention is to focus on energy applications, i.e. different

technologies to store relatively large quantities of energy (75MWh) for a considerable

time (1-19 hours), and that the technology be geographically independent, i.e. that the

solution can be mobile and does not depend on geography such as rivers or old gas

fields. By a process of elimination this leaves batteries as the ideal technology, because

CAES is geographically dependent (for this scale of operations) as is PHES, and FES and

SMES is better suited for power applications.

In 2007 a study was conducted on energy storage system to explore the benefits of

relieving operational challenges on the electricity grid through energy storage. In the

study NAS batteries were used to store (a modest amount) of energy (7,2MWh), they

were fitted within a shipping container and connected to the PJM power market. The

results of the study were positive: there is a definite, quantifiable lifetime value of

storage (Nourai, 2007).

Large scale energy storage with batteries can be done, and it can be done on an

economic merit. For it to be successful there are three criteria that need to be fulfilled:

1. The storage system has to be efficient, i.e. energy losses have to be minimal (this includes charging, storing and discharging).

2. The storage system has to be durable, i.e. it has to have a long service life and maintenance has to be at minimum.

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3. The storage system has to be inexpensive, i.e. has to represent modest capital cost relative to the operation (Prost, 2009).

The increased effort into research and development on lithium ion batteries gives

hope that these criteria can be fulfilled. The technology for storing electricity in

batteries is rapidly improving and in large parts it is due to the increased focus on the

electric car. Batteries are getting smaller, more powerful and cheaper. But although the

technology is driven towards the electrification of the common car there are numerous

other applications for this new technology. One application is to utilize the storage

possibilities on a large scale.

The notion of using electric car batteries to fight inefficiencies of the electrical

systems has been studied. Electric cars are plugged in while not in use and the condition

of the electricity market dictates whether the car buys electricity (and charges) or sells

electricity to the market (discharges), allowing energy markets to be regulated and

demand peaks mitigated to some extent. This way “peak shaving” can be obtained

through the sophistication of the grid (Sousa, Roque & Casimiro, 2011). But there is

another application, to use the batteries to utilize the variance between demand and

supply of electricity and conduct arbitrage on the electrical market.

The idea in this research is to collect batteries into “battery islands” where relatively

large quantities of energy (75MWh) can be stored for a considerable time (1-19 hours).

The batteries are charged during the low cost, off-peak hours and then discharged at

peak hours for a much higher price. But what types of batteries would be best suited for

such an operation? The answer can be found within a global trend fueled by

environmental awareness, the electrification of the common car.

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3 The Electric Car

3.1 Term

There are many types of vehicles that use electricity for propulsion, and therefore have

claim for the name ‘electric car’. In this thesis the term will, however, be assigned only

to high performance cars that derive their power from an a on-board battery pack, and

not small, low performance vehicles like golf carts or electric wheelchairs; solar

powered cars that use photo voltaic technology to convert sunlight into electricity; or

hybrid cars that merge internal combustion engine and electric powered propulsion.

3.2 History

The electric car was big in the late 19th and early 20th century, and in fact it was the

preferred choice of automobile. Electricity was the driving force of the second industrial

revolution and its popularity as an energy source extended outside the home and

factories. The electric car was also considered simpler and more enjoyable to use, it had

neither the noise nor smell of a gasoline car, it did not vibrate and shake, there was no

changing of gears (one of the most difficult part of operating a gasoline car of that

time), and it did not require the manual effort of cranking of the engine to start

(Sperling & Gordon, 2009; Sandalow, ed., 2009)

However, with Ford Motor Company’s new methods of production the cost of a

gasoline car was slashed to less than half of that of an electric one and advances in

internal combustion engines, gave them increased range, quicker refilling time and

made them more enjoyable to ride overall. (Sperling & Gordon, 2009; Sandalow, ed.,

2009; Georgano, 2000)

In the oil crises of the 70’s and 80’s the eyes of the world quickly gazed toward the electric

car, but only for a brief moment. And it wasn’t until the global downturn in the early 2000’s

when car makers steered away from fuel-inefficient SUV’s toward smaller cars. Recently the

concerns about environmental impact are playing a bigger role and eyes have shifted

toward the electric car again (Sperling & Gordon, 2009; Sandalow, ed., 2009)

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3.3 Race to popularity

The debate on whether car ownership is a necessity or luxury is ongoing but fact

remains that car ownership is widespread in the USA, with more than 137 million

passenger cars on the streets in 2008 (Bureau of Transportation, 2011). It is therefore

safe to say that cars are a commodity.

The typical consumer goes through a cost/benefit analysis when he purchases a

commodity. More often than not he does not realize that such an analysis has taken

place, he simply buys what he is used to buying and the benefits of getting something

that he knows, plus the benefit of not having to bother with the alternatives outweigh

the cost of having to evaluate other options. But when it comes to cars the analysis

tends to be more thorough. And if the electric car is to be able to substitute the gasoline

car it will have to win this cost/benefit comparison.

One of the most critical factors in the auto industry’s fight for the consumer is the

distance the car can travel with its potential purchaser. Traditional car makers (those

focusing on gasoline) have conceded that look and feel can be matched with electric

cars but the range cannot, and are therefore highlighting this fact to their advantage. As

with a typical internal combustion engine vehicle, the range of an electric car is a

determined by four factors:

Energy source

Weight of vehicle

Resistance

Performance demand of driver

The last three factors are simply limitations governed by the laws of physics.

Newton’s 1st law of motion tells us that the speed (or velocity) of an object remains

constant until a force acts upon it and the 2nd law says that the acceleration of an object

is directly proportional to the force acting on it and inversely to its mass (the heavier the

object the bigger the force needed).

Applying these laws one sees that heavy vehicle depletes its energy faster driving

from A to B, than in a lighter one (all other things kept equal) and a car with high

resistance has a harder time propelling forward and therefore requires more energy

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than a car with lower resistance. The performance constraint is also dictated by the law

of motion because a driving style of rapid acceleration demands more energy than a

constant speed type of driving (Zimba, 2009).

In the race toward wide-spread commercial electric car it is relatively easy to keep

the last three factors on par with the internal combustion one. The weight is similar

because the battery pack replaces a heavy engine and the car manufacturers are

looking at new alloys and carbon fiber for the body in white (BIW). Both car types are

built on comparable bodies and chassis so the wind resistance and tire friction should

be very similar (or the same). And the performance demand is subject to the individual

driver which will act the same in both car types, a fast driving teenager that drives the

car to its maximum can travel less distance with the energy stored in the car than a

veteran truck driver. And will do so regardless of the type of car.

The first factor, the energy source, is most difficult and will determine the outcome

of the race. It seems that battery technology is on the right track. Electric car makers

today usually focus on lithium based batteries for energy storage and major advances

have been made in this area with today’s electric vehicles are sporting ranges in excess

of 300km pr/charge (GreenCar Magazine, 2009). As previously mentioned governments

(local and national) are assisting private entities in research and development of

batteries and major car manufacturers have announced their version of an electric car

for the coming years (see Fig. 15 and 16).

To win the race toward commercialization the

electric car will also have to overcome a bigger

challenge, the cost. It can be argued that a typical

consumer may

place some

additional value

to the fact that

her car is environmentally friendly and has no CO2

emission. It is true the electric car has no tailpipe

pollution and depending on the power source used

to generate the electricity it emits less than half, down to a quarter, of the CO2 of an

Figure 14 - Mitsubishi MiEV Electric Car

Figure 13 - Nissan Leaf Electric Car

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conventional gasoline powered car (Kromer & Haywood, 2007), but nonetheless, the

first thing that affects consumer is the direct cost, i.e. how much she has to pay. Today

the price of an electric car is considerably higher than of a gasoline car, primarily

because of the high cost of electric batteries. To address this issue, both private and

governmental entities are pouring money into research and development of batteries to

enhance their capabilities and reduce the cost, with the aim of market parity in the

coming years. Governments around the world are also spending considerable money in

promoting electric cars, including incentives of up to $7,500 for buyers of electric

vehicle (IRS, 2011). New advances are also being made in the production of batteries

and production costs are gradually shrinking, making new batteries better and cheaper.

The outlook for the electric vehicle looks promising and if all goes as planned there

will be more than one million electric cars on the streets within a few years. And with

each car comes a battery and with each battery comes possibilities.

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4 Prerequisites

In order to operate a project that uses battery storage for electric arbitrage many

obstacles have to be overcome and numerous conditions have to be met. One obvious

condition is that energy storage is technologically possible, another is the condition of

economics.

The technological requirements were addressed in chapters two and three. It has

been established that energy storage is possible and has been done, and if the results

from the research prove promising a more thorough investigation into the technological

aspects are in order. As for the commercial and economic concerns, they will be

addressed in the research. There are, however, two basic prerequisites that need to be

fulfilled:

There needs to be access to an open electricity market

There needs to be access to a sufficient number of batteries

4.1 Open electricity market

For the project to be successful one has to be able to connect to the electricity

transmission system, buy of it at one price during a particular time and sell into it at

another time. This demands the following of the electric system and its market:

The transmission system has to be open, i.e. anyone can connect to the system and negotiate purchase out of it / sale into it (given the necessary competencies and licenses)

The market for prices on the system must be open, i.e. one can negotiate purchases/sales in real time (with delayed delivery)

The market for prices on the system must be active, i.e. it follows the laws of supply and demand, making off-peak electricity cheaper than peak

The US electrical markets and the transmission systems on them fulfill all

the conditions above.

4.2 Access to batteries

Based on the abovementioned trend in the auto industry it is assumed that electric car

batteries will be used for energy storage. The size of project defined in this thesis will

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need roughly 5.000 batteries so it is obvious that quite a few electric cars would have to

be on the streets to accommodate such a large number of batteries.

Today’s outlook is that a considerable amount of

battery electric vehicles will be in operation within

few years, as many large car manufacturers (e.g.

Mitsubishi, Nissan, BMW, Renault, and Ford) have

announced their electric vehicles and proposed

rollout in the coming years (see Fig. 13 and 14).

The US government has also been vocal about

their support toward the electric car and president

Obama announced in his State of the Union Address

in January 2011 plans to see 1 million electric vehicles

on American streets in 2015 (The White House,

2011). Therefore we believe there will be enough

batteries for this kind of operation without it

representing the bulk of the total number of batteries on the market.

Figure 16 - BMW i3 Electric Car

Figure 15 - Ford Focus Electric Car

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5 Model Limitations

With the two prerequisites met, it is possible to calculate the commercial viability and

the economic benefits of trading electricity on an open market. The viability is

ascertained through a feasibility study that uses a DCF method to calculate the NPV of a

project that trades electricity for 15 years.

As mentioned in chapter one, this research ignores a few important aspects of a

potential energy storage project. The research is conducted only to determine if electric

energy price arbitrage is profitable based on the operation of such project including all

operation cost, investment cost of equipment, financing cost and depreciation. The

study, however, neither includes the cost of batteries nor the political and

environmental impact of the operation.

These omissions are purposely done for the sake of simplicity. This thesis is a

feasibility study and not a business plan. If the results of the feasibility study are positive

and it turns out that electric arbitrage is feasible then steps can be taken to create a

business plan around the idea with the focus of setting up and running an actual

business. Such a business plan will have to take into account acquisition of car batteries,

and various environmental- and political impacts such as the benefits of reducing CO2,

stabilizing the electric grid and the disposal of the batteries.

All these issues can be incorporated into a business plan in many inventive ways that

create value for both the project and its customers, but a positive outcome from this

feasibility study needs to be in place for this work to take place (otherwise it will be in

vain).

5.1 Terminal value

Because of the abovementioned limitations it was decided not to calculate terminal

value in this study. The goal was to determine if the cash flow from an electric arbitrage

would suffice to cover the investment (and opportunity) cost of setting up such an

operation. And lacking important cost and benefits inputs related to batteries, political-

and environmental aspects, it did not seem right to attribute a perpetual growth to the

substantial cash flow the operation produces without including part of the basis of what

constitutes a going concern project.

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6 Research

6.1 Finding data

The aim of this study is to determine if it is feasible to actively trade electricity on an

electricity market in the United States. The Federal Energy Regulatory Commission

(FERC) is an independent agency that regulates the interstate transmission of electricity,

natural gas and oil. It also collects real time data on day to day electricity prices. All data

for this research was collected from the FERC’s website3.

The electrical power market in the USA is broken down into ten independent

markets (see Fig. 17):

Of the ten markets, FERC has collected detailed and comprehensive data on five of

them, and then issued the data reports for the years 2009, 2010 and 2011:

California (CAISO)

Midwest (MISO)

New England (ISO-NE)

New York (NYISO)

PJM

There are several independent transmission systems that are traded within each

market. The five markets that were the focus of this research had 29 systems

between them:

3 http://www.ferc.gov

Figure 17 - Geographical location of US Power Markets

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The data for these five markets was found in monthly reports. Each report gave a

daily overview for each of the transmission system for that month and each day was

broken down to 24 individual one hour intervals, giving prices quoted for each hour of

the day. The reports had two sets of pricing information, “Day-Ahead Prices” and “Real-

Time Prices”. The Day-Ahead prices are prices that are forecasted the previous day and

Real-Time prices are the actual prices that were traded (see Exhibit 1).

6.2 Arranging the data

All the information was exported into Excel, one month at a time (see Exhibit 2) and

then rearranged for each transmission system (see Exhibit 3).

The aim of the project is to investigate the feasibility of buying electricity when the

price is low and reselling it to the market at peak prices. It was decided to fix the

amount of energy to 75MWh, i.e. buying and selling 75MWh at different times. After

consulting with electrical engineers at Orkuveita Reykjavíkur (Guðleifur Kristmundsson

& Þorsteinn Sigurjónsson, Orkuveita Reykjavíkur, personal communication, March 2nd,

2011) and VJI Engineering (Eymundur Sigurðsson, VJI Engineering, personal

communication, March 3rd, 2011) it was decided to limit the power load to 25MW. A

power load of 25MW offers less expensive equipment solutions and this was further

confirmed at a meeting at Smith & Norland, the Siemens distributers in Iceland (Ólafur

Marel Kjartansson & Ólaf Sveinsson, Smith&Norland, personal communication, March

11th, 2011). With a power load at 25MW it is obvious that in order to achieve 75MWh it

is necessary to buy power for three hours (at full load) and sell it for another three

hours. With these basic conditions in mind the sum of each consecutive three hour

California Midwest New England New York PJM

Pacific G&E Cinergy CT Capital Western

SoCal First Energy NEMass Hudson Baltimore

San Diego Ill inois NH Long Island Commonwealth

NP-15 Michigan ME NY Dominion

SP-15 Minnesota Internal North NJ

Palo Verde Wisconsin West Pepco

Table 1 – All Five Markets and 29 Systems

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period in the day was calculated, i.e. from 0:00 – 2:00, 1:00-3:00, 2:00-4:00, etc. Each

day was treaded as standalone and therefore calculations were made on the cost

between days (e.g. 23:00-1:00). This gave 22 unique sums for each day (see Exhibit 4).

These sums were calculated for both sets of prices provided by the daily reports. The

“Day-Ahead Prices” sums were called “Projected” and “Real-Time Prices” sums were

called “Actual”. The lowest and highest sums were then found4.

6.3 Two scenarios

Having two sets of numbers, the projections (best guess) of what prices would be

the following day and the actual prices of that day gave the opportunity to calculate

outcomes with and without the presence of intellect (human or artificial). In order to

do that, two scenarios were created. One called Actual; being the theoretical

maximum (always buying at the lowest possible and selling at the highest possible

price) the other called Projected; being the intellectual minimum (relying purely on

day-ahead predictions). And even though the fundamental principle of the two

scenarios is the same the approach for calculating the outcomes for Projected and

Actual are very different.

In the Actual scenario the lowest of the 22 daily sums were multiplied with 25 (MW)

to get the price of buying 75MWh of electricity at the lowest possible cost for that day

(25MW x 3 hours = 75MWh). The same was done with the highest price, thus getting

the highest possible revenue for the day. Subtracting the cost from the revenue gave

the maximum gross margin of the day. This was done for every day of every month (see

Exhibit 5). The daily gross margin was then used to calculate the gross margin for each

month and consequently each year. The same calculation was done for all transmission

systems and the data compiled to a simple overview (see Exhibit 6).

The calculation for Projected was more complicated. The “Day-Ahead Prices” is a

base for what the market projects will be next day prices. The idea was to use these

4 There was no constraint in the calculations that the lowest sum had to incur earlier in the day

than the highest sum, but a sample check revealed that this was the case nonetheless in more than 99% of the time.

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forecasts and apply them to the actual numbers. By finding the lowest (and highest)

three consecutive hours of the “Day-Ahead Prices” it was possible to mirror them to

the actual prices, i.e. buying and selling at real prices on the hours the market

predicted would be the best. If the “Day-Ahead Prices” were lowest between 2:00-

4:00 and highest between 18:00-20:00, energy would be bought at 2:00-4:00 and

sold at 18:00-20:00 irrespective of the actual prices.

The major difference between the applications of the two scenarios is that for

Actual you would require human intelligence monitoring and reacting to the market

in real time. Traders would have to be hired who would strive toward the theoretical

maximum of always buying at the lowest possible price and selling at the highest.

Ideally the compensation structure for these traders would reflect the proximity of

the actual trading to that theoretical maximum goal, i.e. the closer you get to the

maximum the higher your compensation. The Projected scenario is the simplest

setup where the equipment is merely connected to a computer that buys and sells

solely on predictions from the day before. This scenario assumes no intelligence.

With revenue, cost and gross margin numbers for all years on each of the

transmission systems calculated, the data sets could then be merged into a single

model. Each year was considered unique and each system was filed individually,

giving a total of 86 individual sub datasets (see Exhibit 7). The numbers were then

arranged in an overview with numbers for Projected scenario and Actual scenario in

separate columns, and top five values for gross margin and increase percentage

were highlighted to enable visual comparison.

Table 2 gives a visual

representation of the

gross margin of all the

systems in California.

After having calculated

gross margin for all

three years for each of

the 29 systems, the highest results were identified and shaded (different shades of blue

for the Projected scenario and red for the Actual scenario). When focusing on the Actual

2009 2010 2011 2009 2010 2011

Pacific G&E 826.899$ 904.278$ 885.983$ 1.404.274$ 1.618.872$ 1.724.483$

SoCal 954.318$ 1.207.066$ 961.644$ 1.643.958$ 2.085.359$ 1.934.894$

San Diego 958.977$ 1.283.706$ 1.123.566$ 1.815.862$ 2.124.199$ 2.391.214$

NP-15 777.676$ 853.698$ 813.826$ 1.369.337$ 1.552.692$ 1.640.471$

SP-15 947.408$ 1.158.756$ 930.238$ 1.739.558$ 1.974.152$ 1.926.366$

Palo Verde 700.196$ 918.903$ 756.434$ 1.432.841$ 1.738.897$ 1.779.699$

Gross margin

Projected Actual

Table 2 - Gross Margin for all 6 Systems in California

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scenario it is interesting to see that in the years 2010 and 2011 four of the five highest

outcomes were in California.

The increase in gross margin for all the 29 systems was also calculated for each

scenario and five

highest values were

identified and shaded

(light green for the

Projected scenario,

green for the Actual

scenario. Table 3

depicts the percentage increase in gross margin for the PJM market and just as the

gross margin numbers are dominated by the California market, the increase in gross

margin is nowhere higher than in the North East with four of the five highest (in both

scenarios) outcomes.

09 to '10 10 to '11 Overall 09 to '10 10 to '11 Overall

Western 41,70% 5,97% 50,16% 42,35% 0,03% 42,38%

Baltimore 69,50% -1,44% 67,06% 64,12% -5,13% 55,71%

Commonwealth 28,37% 2,03% 30,97% 25,26% 0,55% 25,94%

Dominion 63,76% -1,47% 61,35% 65,78% -8,55% 51,60%

NJ 59,70% 8,25% 72,87% 56,54% 4,05% 62,87%

Pepco 12,23% 12,23% 8,30% 8,30%

Increase

Projected Actual

Table 3 - Increase for all 6 Systems on the PJM Market

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7 Financial Model

In this study the DCF analysis was used to value the project. The model calculates free

cash flow from buying electricity at low prices, storing it in electric car batteries and

reselling it at peak prices. It is assumed that trading occurs every day of the year and

that transmission losses are incurred. The model projects 15 years of operation.

The model uses the historical data and projects it into the future based on a set of

assumptions. The assumptions inputs are all located on a single sheet for the user of the

model to manipulate at will (see Exhibit 8). All changes made to the assumption inputs

will immediately be incorporated into the model and the outcome will change

accordingly. An example of the revenue inputs can be seen in Table 4.

The outcome of this model is two sets of numbers. The

first set consists of two numbers, the Internal Rate of

Return (IRR) and the NPV of the investment as a whole.

To arrive at these numbers the total cash flow of each

year is calculated and is then discounted against the

entire investment of the project. The goal is to find the

cash available to repay loans, pay out as dividends and/or plow back into the

project. And because the objective is to use this cash to service both debt and equity

it is discounted with the weighted average cost of capital (WACC), i.e. the cost of

both debt and equity. These two numbers are referred to as “IRR of Investment” and

“NPV of Investment” (see Table 5).

The second set of numbers consists of the

IRR and NPV of the equity. The total cash flow

that was calculated for the whole project is

taken and the cost of servicing loans is

deducted. The resulting cash flow is then discounted against the equity contributions of

the project. The goal is to find the cash available to pay out as dividends or plow back

into the project. In this instance, because the objective is to find the cash earmarked for

equity it is discounted with the cost of equity. These two numbers are referred to as

“IRR of equity” and “NPV of equity” (see Table 6).

Grid to be used -

Hours in/out 3

MW pr/hour in 25

Power losses 3,00%

MW pr/hour out 24,25

Table 4 - Revenue Inputs

Traded Projected

IRR of Investment 15,00% 7,50%

NPV of Investment $1.000.000 $500.000

Table 5 - IRR and NPV of Investment

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The model provides the option of

calculating for each transmission system

independently. One system is chosen and

corresponding revenue and cost numbers is

pulled from the data set and used as a base for the projections. The mode allows for

two kinds of growth, short term and long term. The user denotes the increase

percentage and the length of the short term period (in years) and then appoints the

long term growth percentage (see Table 7).

Revenue and cost will rise according to the

short term growth rate, for the determined

number of years, and then at the long term

rate for the remainder of the 15 years. When a transmission system

is chosen as a base for calculations, its corresponding increase

numbers appears on the screen. This is done so that the user can

better determine the appropriate increase number (see Table 8).

The two different set of data Actual and Projected are used to create two

independent sets of outcome. The Actual data assumes that traders use insight and

intelligence to achieve results close to the “theoretical maximum” and the model allows

the user to predict the accuracy level. All deviation from the “theoretical maximum” is

treated as cost of goods sold and comes as a deduction to the gross margin. This is done

to maintain logic in the compensation system for the traders. The traders receive salary

for their work but also bonuses based on performance. The bonuses are tied to the

gross margin, i.e. the higher the gross margin the higher the bonuses. By tying the

accuracy level of the traders with cost of goods sold it creates an increased incentive for

results as a lower accuracy decreases the gross margin which in turn decreases bonuess.

The Projected data assumes no intelligence and therefore neither salary (and bonus

payments) nor accuracy costs are included in the calculations.

The operational costs for the project, aside from salaries and bonuses are overhead,

maintenance, selling expense and ‘other expenses’.

Traded Projected

IRR of Equity 10,00% 5,00%

NPV of Equity $500.000 $325.000

Table 6 - IRR and NPV of Equity

Increase in power prices 15% first 5 yrs

Long term increase 5%

Table 7 - Short- and Long Term Increase

Grid Increase

SP-15 10,74%

Increase from 2009

Table 8 - Actual Increase on System

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Overhead is assumed to be minimal as the only thing needed is an office for the

traders with telephone- and internet connection, computers, mobile- and landline

phones, and appropriate furniture and amenities. Maintenance of the electric system

will be outsourced to a third party on a long term contract, terminable by both parties

once a year.

Selling expense is assumed to be modest, because all trading is done online in real

time. However, traders need to have the possibility to develop and maintain their

network of business relations and therefore a small ratio of revenues is allocated as

selling expense. Other expenses are for any kind of contingencies that might occur

when running a business. A lump sum is also allocated as startup cost, and is intended

to cover unexpected costs that often pile up when starting a business. Even though the

settlement system for online electrical trading is done

through a clearing house, contingencies are built into

the model and working capital is assumed to increase

for a defined number of years (determined by the

user). It is assumed that initial capital raised will

finance the first year of working capital, and internally

generated cash flow will service the consequent

years. All inputs for operation costs can be modified

by the user of the model (see Table 9).

Capital expenditures for the project will

consist of acquisition of land (buying or

leasing), constructing (or buying) a building,

and purchasing electrical equipment. The

piece of land needed under the project is

modest in size. The batteries can easily fit

into a few shipping containers and the

electrical equipment is of a similar size. Figures 18 and 19 depict a 2MW and 8MW

battery storage units (respectively) currently found in the USA. A land of 10,000m2 (1

hectare) would be ample, and easily provide space for possible future expansions.

Salaries $75.000

Bonus payments 2%

Nr of traders 2

Traider accuracy 95%

Overhead $30.000

Maintenance $120.000

Other $100.000

Working capital $200.000

Selling expense 0,2%

Start-up expense $300.000

Table 9 - Operational Cost Inputs

Figure 18 - 2MW Storage Unit in Bluffton, Ohio

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The purchase of electrical equipment would take

place either through local distributors or directly

through vendors. The leading European electrical

equipment providers ABB and Siemens both have

readymade solutions, on shelf, at $10,000,000 with lead

time of 12 to 24 months. The need of shelter for both

batteries and electrical equipment depends on location

(local weather conditions) and would consist of a simple

structure. The batteries and electrical equipment together cover about 500m2, so a 700m2

house would be erected, giving room for storage and maintenance facilities. The model

allows for additional unforeseen capital expenditure of $300.000 (see Table 10).

The fixed assets will be depreciated in accordance

with applicable laws and legislations (depending on

location). The model assumes that assets can only be

depreciated by 90%, i.e. 10% residual value must

remain in the books5

The equipment will be financed with export

financing from the country of origin (Sweden or

Germany). The model assumes that the equipment

cost will be leveraged through either the vendor

himself or an export financing program within the

vendor’s home country, at local rates plus a premium.

A smaller, short term loan of $500,000 to cover the

initial outflow of cash is also included in the model.

Interest rates and payback years are adjustable by the

user of the model (see Table 11).

Income taxes are levied on Earnings before Tax

(EBT) with losses carried over for a maximum of 10

years. Property tax is calculated on all real estate, i.e. both land and building.

5 This is done in accordance with Generally Accepted Accounting Principles (GAAP) and European accounting legislation.

Land $300.000

Building $1.000.000

Equipment $10.000.000

Other $300.000

Total $11.600.000

Table 10 - Investment Inputs

Leverage of equipment 70%

Equipment loan

Bank I $7.000.000

Interest rate 6,25%

Payback in years 8

Short term financing

Bank II $500.000

Interest rate 8%

Payback in years 3

Total capital needed $12.100.000

Equity ratio 38%

Equity $4.600.000

Debt $7.500.000

Table 11 - Financing Input

Figure 19 - 8MW Storage Unit in Johnson City, NY

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All in all, the total capital needed for the project is $12,100,000, with $7,500,000

as debt and $4,600,000 provided as equity. This corresponds to an equity ratio of

roughly 38%.

The model calculates the cost of equity using the Capital Asset Pricing Model (CAPM;

French, 2003) and derives a discount rate for the project by applying the Weighted

Average Cost of Capital (WACC; Miles & Ezzel, 1980) method. Both rates are used to

calculate the NPV of the investment. The WACC is used to discount the leveraged

project, i.e. the cash flow that can be used to service debt and pay out dividends. The

cost of equity is used to discount the cash flow after debt has been serviced.

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8 Assumptions for Financial Model

A financial model is only as strong as the assumptions it is built on, and therefore it is

imperative to scrutinize each assumption thoroughly. The model is set up with 39

different assumptions that fall into 8 different categories. The categories are:

Revenue

Capital expenditure

Operational expenditure

Depreciation

Debt

WACC

Tax

Batteries

A decision on each different assumption was arrived at through a rigorous process.

Information on each point was gathered through interviews6, the above mentioned

research, and the author’s experience and common sense. The data was then matched

to real examples and the results double checked with industry experts (see Exhibit 9).

8.1 Revenue

Hours in/out is the only assumption in the whole model that is fixed and cannot be

altered by the user. After meetings with electrical engineers and distributors of the

electrical equipment it was decided

to divide the flow of total electricity

purchased/sold over 3 hours. This is

done to decrease the strain on the

batteries and to some extent the

electrical equipment (see Table 12).

6 Interviews were conducted with academics in finance, economics, electrical engineering and

chemistry and professionals from energy companies, electrical engineering consultancies, financial institutions and consulting firms.

Grid to be used SP-15

Hours in/out 3

MW pr/hour in 25 Grid Increase

Power losses 3,00% SP-15 10,74%

MW pr/hour out 24,25

Increase in power prices 15% first 5 yrs

Long term increase 5%

Increase from 2009

Table 12 - All Revenue Inputs

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MW hours in/out was arrived at following the advice from electrical experts at

Orkuveita Reykjavikur and VJI Engineering. To have a sizeable operation, it was the aim

to have at least 25GWh of energy traded per year. To achieve this minimum

requirements one would have to have at least 22,83 MW of installed power (keeping in

mind the fixed precondition of 3 hours in/out).

25GWh = 25.000MWh. The goal is to buy/sell 3 hours of energy every day of the year (3h/day * 365 days= 1095 hours). To arrive at the necessary power load, the total amount of energy is divided by the total hours bought/sold:

22,83MW of power is needed to trade 25GWh of energy pr/year, this number was

then rounded up to 25MW of installed power, resulting in 27,375GWh of energy

traded per year.

In this model power losses are assumed 3% in the model based on the Icelandic grid

operator Landsnet which publishes 3% as their power losses. The same level of

sophistication is assumed with American operators.

Increase in power prices dictates how much revenues and COGS increase between

years, i.e. the percentage by which the previous year will increase. The model assumes a

15% increase. This looks high, but it is imperative that

one realizes that this number does not correspond to

an increase in consumer prices (or spot prices); this is

the percentage by which the gross margin of buying

at lowest prices and selling at peak prices

increases over the course of one year. For the

Actual scenario

the average increase between the years 2009 and

2011, over all the 29 systems was 17,68% (median

16,33%), and for the Projected scenario the

respect matching numbers were 24,63% and

20,85% (average and medium, respectively; see

Tables 13 and 14).

Projected Actual

New England 28,06% 19,09%

California 5,99% 21,16%

Midwest 16,43% 10,97%

New York 24,15% -3,69%

PJM 49,11% 41,13%

Overall 24,63% 17,68%

Table 14 - Average Increase

Projected Actual

New England 22,54% 23,37%

California 5,90% 21,30%

Midwest 18,43% 12,58%

New York 24,50% -0,65%

PJM 55,75% 46,99%

Overall 20,85% 16,33%

Table 13 - Median Increase

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The next assumption deals with the length of the short term power price growth, i.e.

it determines how many years the short term growth will last. After consulting with

experts in corporate banking at Arion Bank it was agreed that 5 years would be an

appropriate period.

Finally the long term increase is set at 5%, which represents roughly one third of the

average increase between 2009 and 2011.

8.2 Capital expenditure

There are two sets of assumptions in this category. First the prices of the assets are

assumed and second, the speed of acquisition (or construction; see Table 15).

The project assumes a purchase of 1

hectare of land. This will be ample for

current operations as well as any future

expansions. The batteries needed for

this project will fit within 8 normal 40

foot containers, so that the area needed

for the batteries is about 350 m2. With

the electrical equipment allocated 150 m2 of space the total area of building would be

500 m2. Provided that the utility ratio of the land is 50% (maximum half of the land can

be occupied for building) the maximum size of buildings on the land is 5.000 m2. This

means that the operations can expand ten times without further acquisition of land.

The price of land is assumed to be $300.000 pr/hectare, which is on par with prices of

industrial land in Iceland. The land is assumed to be purchased all at once (100%

phasing during first year).

The building would be a simple construction, large enough to shelter batteries and

electrical equipment, plus a small storage space and maintenance facility. The model

assumes $1.000.000 as the cost of the building, the cost of a simple shell house with

specialized wiring and utilities is assumed to be $1,666 pr/m2 and a size around 600 m2.

The building will be erected in year 1 and finished in year two, 75% phasing in first year)

Cost yr 1 yr 2 yr 3

Land $300.000 100% 0% 0%

Building $1.000.000 75% 25% 0%

Equipment $10.000.000 100% 0% 0%

Other $300.000 50% 50% 0%

Total $11.600.000

Phasing

Table 15 - Investment Inputs

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Equipment is assumed to cost $10.000.000. This number was quoted at a meeting

with an electrical engineering expert (Eymundur Sigurðsson, personal communication,

March 3rd, 2011) and then confirmed by the distributers of Siemens in Iceland (Ólafur

M. Kjartansson & Ólaf Sveinsson, personal communications, March 11th, 2011). All the

equipment will be installed during first year.

The model allows for unforeseen additional capital expenditure of $300.000, half of

which is allocated to first year, the other half to the second.

8.3 Operational expenditure

The first four assumptions regarding

operational expenditure are associated

with the professionals that buy and sell

electricity out of and into the electric

system (see Table 16). The yearly salary is

set at $75.000. It is assumed that active

traders on the utility market could be

contracted to add this responsibility to

their portfolio of trading activities. The

trading bonuses are then defined as a

percentage of gross margin, thus tying the effectiveness of their trading directly to the

compensation they receive. Based on the analysis a 2% bonus would match the

traders’ salaries after three years on the most profitable systems. The model assumes

two traders to be employed, due to the fact that electricity will be traded 24 hours of

the day, every day of the year. Finally the model predicts on the accuracy of the

traders. The benchmark is always the defined “theoretical maximum”, i.e. buying at

the lowest possible price and selling at the highest and the traders will strive to reach

as high a percentage of that maximum as possible. 95% is believed to be a reachable

goal, based on the fact that a simple algorithm with no integrated intelligence (based

on day-ahead projections) achieved 65% accuracy.

Opex cost

Salaries $75.000 pr/yr

Bonus payments 2% of GM

Nr of traders 2

Traider accuracy 95%

Overhead $30.000 pr/yr

Maintenance $120.000 pr/yr

Other $100.000 pr/yr

Working capital $200.000 for 2 yrs

Selling expense 0,2% of revenue

Start-up expense $300.000

Table 16 - Operational Cost Inputs

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Overhead is set at $30.000 a year. The overhead consists of running computers,

telephones and internet connections. This amount is to cover these costs in addition to

licenses and access to the electricity market exchange where the electricity is traded.

Maintenance on the electrical equipment and building will be outsourced. We assume

to pay $10.000 a month to a service provider that offers full maintenance service.

There is a build-in contingency of $100.000 for operational cost. This will cover any

other expenditure that derives directly from operating the business.

We assume that working capital needs to be funded for a set number of years. It is

assumed that $200.000 will be the addition to the working capital for the first two

years. In the first year it will be funded with equity, but in the second with internally

generated cash flow.

The traders will have a budget to secure deals and maintain normal customer

relations. The budget is set as 0,2% of revenues.

A leeway of $300.000 is given for any unforeseen circumstances and additional cost

of starting up the business during the initial year.

8.4 Depreciation

It is assumed that Building, Equipment and Other

can only be depreciated by 90%, i.e. that a 10%

residual value remains. The building is depreciated

by 4%, a standard practice in most cases. The

equipment is depreciated by 12,5%, giving them an

8 years lifetime and other items are assumed to

have a lifetime of 4 years (see Table 17).

% Factor

Building 4% 90%

Years of depreciation 22,75

Equipment 12,5% 90%

Years of depreciation 7,20

Other 25% 90%

Years of depreciation 4,10

Table 17 - Depreciation Inputs

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8.5 Debt

The model assumes that 70% of the equipment cost

will be financed with an export credit loan offered in

both Germany (Siemens) and Sweden (ABB). Experts

assume the cost of this loan to be the rate of local 10

year treasury bonds plus a premium (Erlendur

Davíðsson, Arion Bank, personal communication,

September 8th, 2011 & Jóhann Ingi Kristjánsson,

Akurey Investments, personal communications,

September 15th, 2011). In the model the German 10

year bond (1,75%; Bloomberg, 2012) with a 400 point premium is assumed, or 5,75%

interest rate. The length of the loan is directly tied to the depreciation of the

collateralized asset, and therefore, it is assumed that it will be paid back in 8 years (see

Table 18).

An additional short term loan of $500.000 will be taken to finance initial burning of

cash. It is assumed to carry 8% interests and be paid up in 3 years, when the business

generates enough cash to easily sustain its operation.

The equity ratio is set at 38.02% which corresponds with the required equity

capital of $4.600.000.

8.6 WACC

In order to discount the cash flow from the project and arrive at a meaningful NPV of

the investment it is necessary to calculate the cost of the equity for the project, as well

as the cost of debt (see Table 19).

Leverage of equipment 70%

Equipment loan

Bank I $7.000.000

Interest rate 5,75%

Payback in years 8

Short term financing

Bank II $500.000

Interest rate 8%

Payback in years 3

Table 18 - Debt Inputs

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In the model we assumed the risk free rate to be the

long term (more than 10 years) US treasury bills, 2,71%

(US Department of Treasury, 2012) and we mirrored a

standard practice of many corporate bankers in using

the work of Aswath Damodaran, Professor at Stern

Business School, in assuming the risk premium at

6,19% (Damodaran, 2012). The beta (β) for this project

is impossible to calculate because it is a correlation

between the volatility of the project and the market.

The way to calculate it is to find the correlation

between a set of returns of the project and a set of

returns of the market, i.e. find out how much the two change together. So, instead of

trying to chase the beta, we decided to fix the rate of equity. The normal expected

(desired) return of a risky, startup project is 20%, i.e. an investor would need a return of

20% to invest in the project. With the rate of equity fixed at 20%, the beta coefficient

turns out to be 2,79

Applying the CAPM formula:

re = Return on Equity rf = Risk free rate rmrp = Market risk premium

We fix the at 20% and solve for the β:

The cost of debt is simply the weighted average of the rates on the loans assumed, or

5,90%, and with an equity ratio of 38% and a tax rate of 34%, we arrive at a cost of

capital for the project at 10,21%

Total capital needed $12.100.000

Equity ratio 38%

Equity $4.600.000

Debt $7.500.000

WACC input

CAPM

Risk free rate 2,71%

Market risk premium 6,19%

β for project 2,79

rE 20,00%

rD 5,90%

WACC (discount rate) 10,02%

Table 19 - WACC Inputs

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Simply applying the WACC formula:

We get:

8.7 Tax

The model assumes 34% income tax. In 2011 the marginal tax rate in the USA produced

a flat 34% tax rate on income between $335.000 to $10.000.000. The projected income

of the project falls within these limits. Taxes are calculated on EBT (earnings before tax)

and losses are carried over for up to 10 year. The model also calculates 1.65% property

tax on book value of building and land.

8.8 Batteries

The battery calculations are only to give the user a sense of physical scope of the

project, i.e. how much space it will require. Ford Motor Company will introduce their

new electric car, Ford Focus Electric in 2012. This car will have a battery pack that holds

21kWh of electricity. If it is assumed that these batteries will be used, and that the

recharge of these batteries has dropped to 60% by the time received by this project

5.435 batteries would be needed to store 75MWh of electricity and they would fit easily

into 8 normal 40 foot containers.

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9 Results 

The  results  of  the  research  are  that  the  project  in  this  form  is  only  to  some  extent 

feasible. It should, however, be taken further and a thorough investigation of the most 

critical assumptions should be conducted. It is also evident that some markets are more 

ideal  for  this  kind  of  venture  than  others  and  that  four  of  the  29  electrical  systems 

should be focused on and investigated further (see Exhibit 10).  

The  systems  in  question  are:  SoCal,  San  Diego,  SP‐15  and  Long  Island.  Those 

were the only four systems that produced sufficient return on both investment and 

equity (see Table 20).  

 The  research  was 

setup  around  two 

different  scenarios,  one 

where  no  intelligence 

was  applied  in  buying 

and selling, a day‐ahead projections given by the market was used blindly (Projected); and 

another where human intelligence was used to actively trade on the market, using real 

time data to identify the best possible time to buy and sell (Actual).  

 

9.1 Projected This  scenario  turns  out  not  to  be  feasible  given  the  assumptions  we  applied  (see 

Exhibit  11).  None  of  the  29  systems  achieved  the  required  20%  return  of  equity 

investment and only  in  six  systems  (San Diego,  Long  Island, NY, Commonwealth, NJ 

and Pepco) was  the  investment’s  IRR  above  the  required  rate of 10,02%  (see Table 

21). In fact, the average rate of return for the 29 systems was only 6,00% and 5,40% of 

project  and  equity  (respectively),  and  the  average  NPV  was  $‐2.806.973  for  the 

investment  and  $‐4.643.864  for  equity.  One market  did  stand  out,  PJM,  but  even 

though  the  returns  there were  dramatically  better  than  the  other markets  (NPV  of 

investment was $2.387.333 on  the Baltimore  system)  it was  still quite  far  from  the 

NPV investment IRR investment NPV equity IRR equity

SoCal $6.336.742 17,45% $721.157 22,15%

San Diego $10.652.938 21,81% $3.153.378 29,26%

SP‐15 $6.280.126 17,39% $688.778 22,06%

Long Isl $6.682.143 17,82% $918.692 22,74%

Table 20 ‐ Four Systems with Sufficient Return on Investment and Equity

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defined target rates of return for equity ($-1.510.370 was the NPV of equity for the

Baltimore system).

The accuracy

in the day-ahead

projections was

only about 65%

(on average), i.e.

the gross margin

in the projected

scenario was only about 65% of the theoretical max gross margin. All markets had a

trading surplus in all years (2009, 2010 and 2011), and in fact all months in all years were

traded in a surplus, in all of the 29 markets. However, there were quite a few days that

resulted in a trading loss, sometimes in excess of $7.000. The biggest problem with the

day-ahead projection was that they were completely unable to predict extraordinary

activity on the market, i.e. large spikes/drops in power prices. This was often costly, not

only because the model missed these opportunities but often times because it traded on

the wrong side of it (sold at negative prices, bought at souring prices).

In this form and with the given assumptions this scenario should not be

pursued. Nevertheless, with the extensive and detailed data available a more

sophisticated algorithm can easily be created, one that learns from its mistakes

and is fed real time data from the market. The scenario is not feasible, but should

not be totally disregarded.

9.2 Actual

The results from the second scenario were somewhat more positive, although with the

given assumptions the idea is only feasible on specific systems (see Exhibit 12). 12 of

the 29 systems had an IRR of investment higher than the required 10,02% but only 4 of

them achieved a positive NPV of equity. The average rate of return for all 29 systems

was 9,14% and 9,98% of investment and equity (respectively) and the average NPV was

$-349.145 for the investment and $-3.245.572 for equity. Again California stands out,

NPV investment IRR investment NPV equity IRR equity

San Diego $577.330 10,77% -$2.579.222 12,01%

Long Isl $2.507.743 13,17% -$1.434.188 15,59%

NY $747.116 10,98% -$2.477.387 12,33%

Baltimore $2.378.333 13,02% -$1.510.370 15,35%

Dominion $861.000 11,13% -$2.409.444 12,55%

NJ $1.136.470 11,48% -$2.245.098 13,06%

Table 21 - Six Systems with Sufficient Return on Investment

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with New York and PJM showing some potential. In California all systems resulted in a

positive NPV of investment and half of them (SoCal, San Diego and SP-15) also had a

positive value of equity, in fact the average IRR of equity in the whole market of

California was 1,55% over the required rate of 20%. Both the New York and PJM

markets had three systems that traded with a positive NPV of investment, but only in

the Long Island system in New York was the IRR of equity above the 20% mark. The

single highest score of all the systems (by far) was in San Diego, with a NPV of

investment of $10.652.938 and an IRR of 21,81%, and the comparable numbers for

equity were $3.153.378 and 29,26% (see Table 22).

The PJM

market, as well as

New York, had

three systems with

positive NPV of

investment, and

although no

system in PJM gave

a high enough

return on equity it

is a market worth

looking at. PJM was the market with considerably largest increase in gross margin

between the years 2009 and 2011. As mentioned in the Assumptions for financial model

chapter, the increase in gross margin is the percentage by which the gross margin of

buying at lowest prices and selling at peak prices increases over the course of one year

and the average for all markets was 25,39% (median 18,91%). In the six systems within

the PJM market this average was roughly 47,7% and the three systems what showed

positive NPV of investment (Baltimore, Dominion and NJ) had 55,71%, 51,60% and

62,87% increase in their gross margin between the years 2009 and 2011 (respectively).

If these increase numbers are applied to the model (for only 2 years) and then the long

term 5% growth rate for the consecutive 13 years both systems would show quite

different results (see Table 23).

NPV investment IRR investment NPV equity IRR equity

Pacific G&E $4.348.581 15,27% -$419.696 18,74%

SoCal $6.336.742 17,45% $721.157 22,15%

San Diego $10.652.938 21,81% $3.153.378 29,26%

NP-15 $3.555.005 14,36% -$880.149 17,35%

SP-15 $6.280.126 17,39% $688.778 22,06%

Palo Verde $4.934.785 15,93% -$80.624 19,76%

Hudson $464.058 10,61% -$2.707.849 11,76%

Long Isl $6.682.143 17,82% $918.692 22,74%

NY $2.710.526 13,38% -$1.372.855 15,85%

Baltimore $2.498.939 13,12% -$1.497.413 15,47%

Dominion $1.031.242 11,33% -$2.367.274 12,81%

NJ $1.132.928 11,46% -$2.306.608 13,00%

Table 22- Twelve Systems with Sufficient Return on Investment

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Despite the

fact that Long

Island produced

the highest

outcome and that

Baltimore, Dominion and NJ had huge growth between 2009 and 2011, the California

market turns out to be most feasible. All systems in that market had a positive NPV of

investment and 3 systems had a positive NPV for equity as well, and the calculated

growth rate was healthy 31,68% and 17,7% in SoCal and San Diego (respectively).

The results from the research were that it is feasible to conduct electrical trading on 4

of the 29 systems, SoCal, San Diego, SP-15 and Long Island. Based on these findings some

further calculations were made on the four systems to assess the vulnerability of the

outcome and to identify the effect a variance in the assumptions have on the results.

NPV investment IRR investment NPV equity IRR equity

Baltimore $9.000.955 20,55% $2.419.914 27,49%

Dominion $6.032.938 17,40% $739.096 22,33%

NJ $8.797.337 20,30% $2.281.847 27,02%

Table 23 - - Three PJM Systems with Actual Increase Applied for Two Years

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10 Sensitivity

The results of the research are that electrical arbitrage is feasible on four systems if the

assumptions the model is based on hold true. To assess the level of depth to the results

and how strong a foundation they are built on, a sensitivity analysis was made on these

underlying assumptions. First a single dimension analysis was made to gauge what

assumptions are most vulnerable to variation, i.e. change to what assumptions have the

most severe effect to the change of the outcome. Once the assumptions had been

assessed and the most critical ones identified, a two dimensional analysis was

performed. The most critical assumptions were tested interacting with each other (and

not only as stand-alone) and the effect on the outcome calculated.

For the single dimension analysis two types of output were created, a “Spider chart”

and a “Tornado chart”, and based on the results from that analysis a two dimensional

“two-variable matrix data table” was created .

The analysis was carried out on the basis of both the investment as a whole as well

as the equity part of it, and thus the same set of calculations was made for both NPV of

investment and NPV of equity.

10.1 Single dimension analysis

The reason this analysis is called single dimension is because only one variable is tested

at a time, all other assumptions are kept at their initial value.

For the single dimension analysis ten assumptions were tested:

Cost of Investment/Equity

Increase in power prices

Equipment

Power losses

Salaries

Trader accuracy

Maintenance

Start-up expense

Working capital

Corporate tax rate

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As mentioned above both “Spider charts” and “Tornado charts” are the output of a

single dimension analysis. It means that they are the results of a set of tests where a

single assumption at a time is tested, keeping all other assumptions fixed. In our

analysis the 10 assumptions were tested with a variation of 20% to both sides, i.e. each

assumption was treated as a variable and given extreme values of 20% better and 20%

worse. Thus we get an output of three data points for each of the variable tested. E.g.

when the first variable (Cost of Investment/Equity) was tested, all the other variables

were fixed (i.e. they kept their initial value). Then the NPV was calculated with three

values of Cost of Investment/Equity, a) the initial value (Base Case); b) 20% lower value

(Best Case); and c) 20% higher value (Worst Case). This gave three different outcomes

for NPV. The same calculations were made for all other assumptions.

10.1.1 Spider charts

The 10 assumptions that were thought to be the most influential on the outcome were

chosen, and a worst and a best case was assigned (see Table 24).

Obviously the

“Trader accuracy”

assumption does not

vary by 20%, simply

because we assume

95% accuracy and a

20% positive

variation from 95% is

114%, which is

impossible!

Therefore, 100% accuracy was assigned as best case and 90% as worst case.

The end result is a linear representation of each variable changing from negative to

positive (two data points on each side of the center) keeping all other variables

constant. The output of the calculation is a graphical depiction of how much effect each

assumption has on the outcome (see fig. 17).

Values to be tested

∆ from base case 20%

Negative Base Positive

WACC 10,02% 12,02% 10,02% 8,02%

Increase in power prices 15% 12% 15% 18%

Equipment $10.000.000 $12.000.000 $10.000.000 $8.000.000

Power losses 3% 4% 3% 2%

Salaries $75.000 $90.000 $75.000 $60.000

Trader accuracy 95% 90% 95% 100%

Maintenance $120.000 $144.000 $120.000 $96.000

Star-up expense $300.000 $360.000 $300.000 $240.000

Working capital $200.000 $240.000 $200.000 $160.000

Corporate tax rate 34% 40,8% 34% 27,2%

Output value

NPV of Investment -

Table 24 - Assumptions Tested for Single dimension analysis

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The lines represent

each assumption and

the steeper the slope

of the line, the bigger

effect the assumption

has on the outcome.

Based on the pictures

it was evident that five

of the assumptions had

considerable effect on

the outcome (large incline) while the effect of the other five was limited.

This calculation was made for NPV of investment and equity on all 4 systems, 8 sets

of calculations in total. All 8 spider charts were uniform and indicated that there were

potentially five assumptions that had major effect on the outcome, i.e. had the steepest

incline (see Exhibit 13):

Discount rate (WACC or cost of equity)

Increase in power prices

Equipment

Trader accuracy

Corporate tax rate

To find out if all these assumptions had the same effect on the outcome, or if there

was a level to their influence a tornado charts were created. This helped with gauging

the scope and the volume of the influence each of the assumptions had on the results.

10.1.2 Tornado charts

Like the Spider charts, Tornado charts are an output of a single dimension analysis and

the same principle is applied to both methods, i.e. varying one assumption while fixing

all the others. The Tornado is a visual representation but unlike the Spider it gives a

better sense of the volume of financial variation the change in each assumption has on

the outcome. So to investigate further whether the five most influential assumptions

Figure 20 - Spider chart for Long Island, Linear representation of each assumption's effect on NPV of Investment

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had the same effect on the outcome, Tornado charts was created to see the absolute

number effect on the end result (see Fig. 18).

The calculation for a

tornado chart is the same

as for a spider chart, but

the tornado chart

visualizes the change in

absolute numbers of the

outcome, instead of the

relative change. The

tornado chart confirmed

the results of the spider

chart. There are five variables that have the greatest effect on the outcome, but the

tornado also calculates how the difference between the expected value and the certain

equivalent is affected by the uncertainty of a specific input variable, i.e. how much each

variable influences the outcome based on the uncertainty of the input (see Table. 25).

The table shows the three values each assumption is given (base, worst- and best

case) and gives the corresponding number value of the outcome if all other assumptions

are kept fixed at their base value. The table also shows how much the outcome varies

between the two extremes, i.e. how much the outcome “swings” between the worst

case and the best. Finally the table shows how much influence each assumption has on

the outcome based on its uncertainty in a metric called “Percent Swing2”. The results in

all eight calculation sets were uniform, the Percent Swing2 indicated that there were

three assumptions that were the most relevant and had the largest impact on the

Figure 21 - Absolute Value of each Assumption's Effect on NPV of Investment

Percent

Input Variable Low Output Base Case High Output Low Base High Swing Swing2

WACC 12,02% 10,02% 8,02% $4.492.557 $6.678.480 $9.330.276 $4.837.719 37,1%

Increase in power prices 12% 15% 18% $4.731.864 $6.678.480 $8.811.187 $4.079.323 26,3%

Equipment $12.000.000 $10.000.000 $8.000.000 $5.124.660 $6.678.480 $8.207.462 $3.082.803 15,0%

Trader accuracy 90% 95% 100% $5.189.258 $6.678.480 $8.155.547 $2.966.289 13,9%

Corporate tax rate 41% 34% 27% $5.601.841 $6.678.480 $7.755.119 $2.153.278 7,3%

NPV of Investment

Corresponding Input Value Output Value

Table 25 - Inputs and Corresponding Outputs for Long Island Tornado Calculations

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outcome (even though the order of the second and third assumption alternated

between power systems). The most influential assumptions were:

Discount rate (WACC or cost of equity)

Increase in power prices

Equipment

Knowing that three assumptions had by far the most effect on the outcome a two

dimensional analysis was performed. This allowed us to see how the change in two

assumptions at the same time would affect the outcome.

10.2 Two dimensional analysis

10.2.1 Matrix data tables

Having determined the three most significant assumptions a two dimensional matrix data

tables were created to see the effect changes in two of the variables at the same time

have on the outcome. Three tables were created for each of the four systems for the total

investment and three for equity, resulting in 24 individual tables (see Exhibit 14).

The variables are arranged with a range of values from bad to good with the base

value in the middle, e.g. “Increase in power prices” were arranged with 15% in the

middle with 10% on the “bad” end and 20% on the “good” one. One variable is arranged

vertically the other horizontally, thus creating a matrix. The outcome is then calculated

based on the matching value of both variables (see Table. 26)

The results

of the sensi-

tivity analysis

are that the

NPV of the

investment is

not particularly sensitive to changes in any of the assumptions while the NPV of equity

is much more vulnerable to change.

The one dimensional analysis exposed the order in which the assumptions affect the

outcome, both calculated for the total investment as well as equity. When calculated for

10.648.459 11,52% 11,02% 10,52% 10,02% 9,52% 9,02% 8,52%

17% 10.312.626 11.028.720 11.779.789 12.567.935 13.395.408 14.264.616 15.178.132

17% 9.727.677 10.421.569 11.149.302 11.912.910 12.714.569 13.556.606 14.441.510

16% 9.156.283 9.828.523 10.533.499 11.273.178 12.049.663 12.865.204 13.722.208

15% 8.598.198 9.249.325 9.932.112 10.648.459 11.400.399 12.190.106 13.019.908

14% 8.053.178 8.683.721 9.344.875 10.038.476 10.766.488 11.531.012 12.334.296

14% 7.520.981 8.131.460 8.771.527 9.442.956 10.147.645 10.887.623 11.665.061

13% 7.001.369 7.592.293 8.211.809 8.861.630 9.543.590 10.259.646 11.011.897

∆ WACC

∆ In

cr. in p

ow

er p

rices

Table 26 - Matrix Data Table Long Island with WACC and Increase in Power Prices

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total investment the “WACC” (discount rate) is by far the most influential variable with

“Increase in power prices” a dominant runner up. When it comes to calculations for equity

the front runner is also “Return on equity” but the runner up is “Equipment” in all but one

system (San Diego) where “Increase in power prices” edges in front (see Table 27).

It is evident

that five

variables have

the greatest

impact on the

overall out-

come and

three of them play a crucial role. However, in both cases (project and equity) the sensitivity

of the outcome is small enough to sustain a change of 10% in two assumptions at the same

time, and for the NPV of investment it can easily sustain 15% negative variation in any two

of the three most influential variables at the same time.

3.153.378 23% 22% 21% 20% 19% 18% 17%

17,25% 2.684.710 3.126.157 3.605.835 4.127.861 4.696.874 5.318.103 5.997.452

16,50% 2.405.702 2.830.865 3.292.885 3.795.737 4.343.895 4.942.405 5.596.966

15,75% 2.132.746 2.542.019 2.986.810 3.470.952 3.998.764 4.575.110 5.205.490

15,00% 1.865.735 2.259.504 2.687.486 3.153.378 3.661.341 4.216.069 4.822.862

14,25% 1.604.565 1.983.209 2.394.795 2.842.884 3.331.488 3.865.131 4.448.923

13,50% 1.349.130 1.713.022 2.108.616 2.539.344 3.009.069 3.522.151 4.083.514

12,75% 1.099.328 1.448.834 1.828.833 2.242.631 2.693.949 3.186.984 3.726.480

∆ Return on equity

∆ In

crease

in p

ow

er p

rices

Table 27 - Matrix Data Table Long Island Equity with Return on Equity and Increase in Power Prices

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11 Discussion

In this thesis the feasibility of buying electricity on an openly traded electricity market,

storing it in electric car batteries and reselling it to the market was investigated. The

result of the research is that it is feasible to conduct electric energy price arbitrage on

four of the twenty nine systems tested:

SoCal

San Diego

SP-15

Long Island

The present value of the cash generated in the operation on these systems was

higher than the value of the cash needed to set it up, i.e. it is economical to spend the

money in setting up the facilities and the operations because the cash generated by the

business more than compensates the initial investment, even with opportunity costs,

risk and time value of money taken into account.

These findings suggest that a further investigation should be conducted on the

conditions of those four systems, a thorough due diligence on the assumptions of the

model should be made and a business plan created.

11.1 Groundwork

The research is based on a simple idea: to exploit the inherent inefficiencies of an

electrical energy system to conduct electrical arbitrage. It is understood that for this to

be possible a basic understanding of electricity and its physical attributes, challenges

and opportunities, is paramount. The thesis, therefore, started out by taking a look at

electricity itself, the history behind it and how men have gradually gained control over

harnessing it. The different types of generation methods were reviewed and also the

mismatch between the efficient production of electricity and the demand for it, i.e. the

“peak power problem”, which is the underlying precondition for the research.

Having established that there are inherent inefficiencies in the electric market and

that the volatility has diurnal cycles, solutions to store electricity to exploit these

inefficiencies were investigated. It turns out that energy storage has been conducted for

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decades and after exploring the most commonly used technologies a decision was made

to focus on BES systems. The decision was taken by a process of elimination, batteries

were the only option that served the quantity and mobility we needed, i.e. was a

geographically independent energy application.

To decide what types of batteries would best suit the project recent technology

advances and potential accessibility in the future were taken into account. The latest

trends within the auto industry and the electrification of the common car made lithium

ion batteries a logical choice. The reason was twofold:

Considerable corporate and official resources (money and brain power) are being allocated to finding new advances in Li-ion battery technology

I.e. lithium ion batteries are good and steadily improving, and the second reason was

because they fulfill the second prerequisites for the project (access).

There were two other prerequisites that needed to be fulfilled in order to test the

economics of the project once all the all the technological issues have been adequately

dealt with (i.e. having determined that energy storage was indeed possible):

Access to an open electricity market

Access to a sufficient number of batteries

A short look at the US electrical markets suffices to satisfy the first premise, but to

answer the second one a better look at the electric car and the plans of major auto

manufacturers was needed. Many large car manufacturers have announced their

electric vehicles for rollout in the coming years and the US government plans to have

over a million electric cars on the streets by 2015. Most of these electric cars will be

powered by lithium-ion batteries, hence the increase in number of batteries will be

dramatic and thus the access to them.

Having defined the technological scope of the project and with all the prerequisites

satisfied a feasibility study was conducted on a 15 years operation. The calculations

were based on a free cash flow method, but no terminal value was assigned at the end

of the 15 years. The reason for the absence of terminal value calculations are explained

in chapter 4, “Model Limitations”.

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11.2 Research

After consulting with industry experts it was decided to investigate the feasibility of

trading 75MWh of energy using 25MW equipment. This means that the operation must

buy and sell 3 hours of electricity each day on a continuous cycle, i.e. energy has to be

bought and sold for 3 consecutive hours. Each day was treaded as isolated (you could

not buy/sell between two days) and thus 22 unique cost data for 75MWh of energy

each day was calculated.

Detailed, hourly price data was collected from five of the ten independent electrical

US markets for the years 2009, 2010 and 2011, and uploaded into our model. Each

market had 5-6 electricity systems resulting in 29 systems, and each system was treated

as independent. The data collected contained two sets of information, projected prices

(estimations from the previous day) and actual prices. The data was used to construct

two scenarios:

Projected – where the day old estimates were used to buy electricity (representing theoretical minimum)

Actual – where energy was bought at lowest prices and sold at highest (representing theoretical maximum)

Having two sets of 22 unique cost data made it possible to calculate cost and

revenue of buying and selling energy in two different scenarios. In the Projected

scenario, energy was bought at the time the predicted price would be lowest and sold

at a time predicted as being highest giving a theoretical minimum, because no

intelligence was applied only extrapolation of the previous day’s data. In the Actual

scenario, energy was bought at the cheapest price and sold at the highest, thus

providing the theoretical maximum. The accuracy of the projections turned out to be

about 65%, i.e. trading on predictions gave 65% lower gross margin than was the

theoretical maximum.

With all the data arranged and cost, revenues and gross margin of each day

calculated it could be imported into the model. The model calculates NPV and IRR of a

15 year project, based on 39 different assumptions in eight categories. Each

assumption was arrived at through a rigorous process of research, interviews,

experience and common sense and then verified by industry experts. Applying all the

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assumptions to the data gave results for all the 29 systems. The results were then

categorized into two categories

Investment – results applying to the whole project, i.e. cash that can be used to pay debt, distribute as dividends and/or plowed back into the project

Equity – results applying to the equity of the project, i.e. cash that can be used to distribute as dividends and/or plowed back into the project

NPV and IRR was calculated for both categories and the results were that 12 systems

had positive NPV in the first category but only four of systems had positive NPV of

equity. These four systems were investigated further to ascertain how sensitive the

outcome was to change in the most important underlying assumptions. Three sets of

analysis were done and it turns out that in the investment category the outcome of all

of the four systems can sustain considerable negative variation in two of the most

critical assumptions at the same time In the equity category the results are strong

enough to handle mild negative variation in two assumptions simultaneously. The

results are therefore that four systems show clear signs of arbitrage feasibility and

should be further investigated.

11.3 Limitations

Because this research is conducted only to determine if electric energy price arbitrage is

feasible based on the operation of such a project, it ignores important aspects of a

potential energy storage venture. The study does not include the acquisition cost of

batteries, the political and/or environmental impact of the operation (such as the

benefits of reducing CO2, stabilizing the electric grid, and disposing of the batteries), and

because of the absence of these important factors a terminal value is not assigned at

the end of the 15 year operation.

This was done for the sake of simplicity. The thesis is a feasibility study and not a

business plan and because a positive outcome of a feasibility study is needed to justify

the efforts of a full blown business plan it was therefore, decided to conduct such a

study first. The positive outcome of this research, however, begs the question of what

steps should be taken next.

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11.4 Next steps

Because it is feasible to conduct electrical arbitrage on four of the systems investigated

in the research it would be a terrible waste not to investigate those systems further and

see if the assumptions hold true and profit can be made from such a venture. A number

of things would have to be done before the theoretical idea becomes a physical project,

but because we have investigated the feasibility of the venture we can justify the effort

of examining it further. The next steps would fall into three categories:

Fixing the underlying cost assumptions

Designing and engineering

Acquiring batteries

11.4.1 Fixing underlying cost assumptions

For the first category a number of steps can be taken to get a firmer grip on the

parameters of the operation. Most of these steps involve interaction with a person or

company in order to create trust, build a relationship and secure a contract. A few

examples of possible steps include:

11.4.1.1 Electric equipment contracts

Electric equipment manufacturers should be identified and engaged. The large

suppliers Siemens, ABB and GE would be an obvious choice as well as other European

and East-Asian companies. The goal here would be a signed memorandum of

understanding (MOU) or letter of intent (LOI) on price, conditions and financing of

equipment for the project. If the companies are unable (or unwilling) to assist in

financing local state regimes, e.g. European export credit or the China Development

Bank should be approached.

11.4.1.2 Contacting CALED and ESD

The California Association for Local Economic Development (CALED) and the Empire

State Development (ESD) should be contacted. They are economic development

agencies for the state of California and New York (respectively) and would be a

valuable ally in preparing and managing the setup of a project in their states. They

possess valuable information and statistics on local business environment and

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economic affairs and have connections into local businesses as well as governmental

agencies and institutions.

11.4.1.3 EPC contract

EPC contractors should be contracted to oversee the entire engineering, procurement

and construction of the physical project. The local Icelandic engineering firms should

initially be approached as they could provide assistance and (perhaps) act as

subcontractor. CALED and ESD could assist with finding a EPC contractor in their

respective areas.

11.4.1.4 HR information

Headhunting agencies and local traders should be visited and interviewed to get a

better idea of price and the salary structure of electricity traders. CALED and ESD could

provide valuable assistance on this issue.

11.4.1.5 Electric grid operator

The electrical grid operator in California should be approached and a MOU should be

signed. It is imperative to understand the rules, regulations, limitations and conditions

there regarding operation on the California- and New York electric grid. Information on

grid security, power losses and incentives for non-fossil solutions would provide

important information to the assumptions. The Icelandic grid operator Landsnet, and

CALED and ESD could assist with identifying the appropriate contact(s).

11.4.2 Designing and engineering

Parallel to establishing business relationships with potential vendors, partners and

customers and gathering information into the business model, considerable work can

be done on the designing and engineering front, e.g.:

11.4.2.1 Computer system

A computer system can be designed that applies artificial intelligence to the historical

data in order to better predict future prices. In this thesis the simplest possible

algorithm is used to extrapolate when to buy and when to sell based on historical

data, and this simple algorithm resulted in 65% accuracy. A computer engineer should

be able to come up with a program that learns from its mistakes in order to increase

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the accuracy. This could easily be done in a graduate level academic setting, as a

project or thesis.

11.4.2.2 Battery system

The interaction between thousands of batteries and the interconnection of an

integrated battery system needs to studied and designed. The chemical and physical

properties of the batteries need to be understood, e.g. charge and discharge time,

durability, lifetime, effect of expedite charging, etc., as well as the limitations and

challenges of having thousands of batteries interconnected. Such a study is also ideal

for academic work on a graduate level.

11.4.3 Acquiring batteries

The final category deals with how to acquire the batteries, who should bear the cost

and how it should be split. A number of possible solutions are available for tying

environmental- and political aspects into the equation as well as focusing on the purely

commercial aspect.

11.4.3.1 Partnership with auto manufacturer

A partnership with car manufacturer would provide considerable value to both parties

as it would provide the venture with the batteries for storage while providing the auto

manufacturer ways to relieve perceived risk, thus lowering the risk for the buyer,

making the electric car more sellable.

One of the challenges the car manufacturers face when introducing the electric car is

the psychological barrier the consumer has to overcome regarding the perception of

maintenance. It is a common perception that an electric car demands extensive

maintenance and replacing the battery pack every few years acts as a deterrent from

purchasing such vehicle.

Partnership can supply a solution, for by partnering with an energy storage

project the auto manufacturer can offer deals on new cars, where the buyer would

be able to return the used battery and be replaced with a new one. The auto

company will offset the cost of this service through the increased sales and the

revenues of the electricity arbitrage.

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72

11.4.3.2 Recycling intermediate

One business model would be to act as an intermediate between the consumer and

the recycling plant. An owner of an electric car needs to replace the primary battery of

his car every few years, because the performance demand on cars are such that when

the car’s range has dropped below a certain point the battery of that car will be

replaced. These replaced batteries are not unusable and even though they are unfit

for cars they still have 60-70% of their charge left. An intermediate would collect

these batteries, use them while they still maintain charge and then have them

recycled. This venture would provide an additional value to the community because it

would be responsible for collecting used batteries and recycling them, and not letting

them be thrown away. There is a possibility of an environmental incentive as well as a

political backing for such a project.

11.4.3.3 Environmental incentives

The project set up for electric arbitrage is inherently CO2 friendly. It exploits the cyclical

nature of power prices and by doing so it evens out the imbalances on the grid (reduces

the spikes), which otherwise would be met with by increasing output from fossil fuel

power plants. Evening out the spikes means reduction of CO2 on the electric grid and for

such projects you can get environmental incentives in California and New York.

11.4.3.4 Political incentives

One of the bigger issues in US politics is energy security as Americans are by far the

largest consumers of energy in the world. Their electric grid is however old and

outdated and because this project acts as a regulator on the electric system

(reducing imbalance) there is a possibility of getting political incentives in the name

of energy security.

Of course this list is by no means exhaustive, but it gives a good indication of the

possibilities of an energy storage project. And once the project preparation reaches

this stage with all these important aspects already included into the model, terminal

value must be assigned at the end of the operation horizon for a comprehensive

valuation of the project.

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12 Conclusion

Electric price arbitrage using battery energy storage is feasible and the idea should

be pursued further.

The research in this thesis demonstrates the feasibility of conducting energy

arbitrage on four of the 29 systems studied. Each of those four systems produced

positive NPV for the total investment as well as the equity part of it, based on

calculations from historical data. The results were tested and all systems could

withstand considerable negative variation on two of the most important assumptions

simultaneously without producing negative NPV.

Having established the feasibility, considerable effort should be put into actualizing

the underlying idea. The four performing systems should be further investigated and

the other 25 discarded. The grid operators on the four systems should be contacted as

well as local economic development agencies. Financial- and human capital should be

allocated to fixing the underlying assumptions and designing the necessary battery- and

computer systems as well as creating an extensive business plan, which includes

acquisition of batteries, political importance and environmental impact.

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13 References

Agrawal, P., Nourai, A., Markel, L., Fioravanti, R., Gordon, P., Tong, N. & Huff, G. (2011). Characterization and assessment of novel bulk storage technologies [Sandia report]. CA: Sandia National Laboratories.

Bloomberg (2011). German government bonds. Retrieved 22nd April 2012 from http://www.bloomberg.com/markets/rates-bonds/government-bonds/germany/

Bureau of Transportation (2011). Number of vehicles and vehicle classification [Report]. Retrieved from http://www.bts.gov/publications/national_transportation_statistics/html/table_01_11.html

Davidson, B. J., Glendenning, I., Harman, R. D., Hart, A. B., Maddock, B. J. Moffitt, R. D. et al. (1980). Large-scale electrical energy storage. IEE Proceedings, 127(6), 345-385.

Damodaran, A. (2011). Implied equity risk premium (US). Retrieved 22nd April 2012 from http://www.damodaran.com

Divya, K. C. & Østergaard, J. (2009). Battery energy storage technology for power systems – An overview. Electric Power Systems Research, 79, 511-520.

Eyer, J. & Corey, G. (2010). Energy storage for the electricity grid: benefits and market potential assessment guide [Sandia report]. CA: Sandia National Laboratories.

Eyer, J. (2009). Benefits from flywheel energy storage for area regulation in California – demonstration results: A study for the DOE energy storage systems program [Sandia report]. CA: Sandia National Laboratories.

French, C. W. (2003). The Treynor capital asset pricing model. Journal of Investment Management, 1(2), 60-72.

Georgano, G. N. (2000). Vintage Cars 1886 to 1930. Sweden: AB Nordbok.

GreenCar Magazine. (2009). Tesla Motors Moving Quickly to Commercialization of an Electric Car [article]. Retrieved from http://www.greencarmagazine.net/2009/07/tesla-motors-moving-quickly-to-commercialization-of-an-electric-car/

Ibrahim, H., Illinca, A. & Perron, J. (2007). Comparison and analysis of different energy storage techniques based on their performance index. Proceedings from IEEE Canada Electrical Power Conference (pp. 393-398). Montreal: IEEE.

Internal Revenue Service (2009). The American Recovery and Reinvestment Act of 2009. Retrieved from http://www.irs.gov/newsroom/article/0,,id=206875,00.html

Kirby, R. S. (1990). Engineering in History. New York: Courier Dover Publications.

Page 75: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

75

Kintner-Meyer, M. C., Subbarao, K., Prakash Kumar, N., Bandyopadhyay, G., Finley, C., Koritarov, V. S. et al. (2010). The role of energy storage in commercial buildings: A preliminary report. USA: Pacific northwest National Laboratory.

Kromer, M. A., & Heywood, J. B. (2007) Electric Powertrains: Opportunities and Challenges in the U.S. Light-Duty Vehicle Fleet. Cambridge, Massachusetts: MIT Laboratory for Energy and the Environment.

Krupka, M. C., Moore, J. E., Keller, W. E., Baca, G. A., Brasier, R. I. & Bennett, W. S. (1979). Energy storage technology-environmental implications of large scale utilization. Proceedings from Second International Alternative Energy Sources Conference. Florida: LOS Alamos Scientific Laboratory.

Makarov, Y. V., Du, P., Kintner-Meyer, M. C. W., Jin, C. & Illian, H. F. (2012). Sizing energy storage to accommodate high penetration of variable energy resources. IEE Transactions on sustainable energy, 3(1), 34-40.

Miles, J., & Ezzell, J. (1980). The weighted average cost of capital, perfect capital markets and project life: a clarification. Journal of Financial and Quantitative Analysis, 15, 719-730.

Moller, P., & Kramer, B. (1991). "Review: Electric Fish", BioScience, 41(11), 794–6.

Nourai, A. (2007). Installation of the first distributed energy storage system (DESS) at American electric power (AEP): A study for the DOE energy storage systems program [Sandia report]. CA: Sandia National Laboratories.

Post, R. F. (2009). A development path to the efficient and cost-effective bulk storage of electrical energy [report]. CA: Lawrence Livermore National Laboratory.

Sandalow, D. (Ed.). (2009). Plug-In Electric Vehicles: What Role for Washington? (1st. edition). Washington DC: The Brookings Institution.

Sander, M. & Gehring, R. (2011). LIQHYSMES – A novel energy storage concept for variable renewable energy sources using hydrogen and SMES. IEE Transactions on Applied Superconductivity, 21(3), 1362-1366.

Schoenung, S. M. & Eyer, J. (2008). Benefit/cost framework for evaluating modular energy storage: a study for the DOE energy storage systems program [Sandia report]. CA: Sandia National Laboratories.

Schulte, R. H., Critelli, N. Holst, K. & Huff, G. (2012). Lessons from Iowa: development of a 270 megawatt compressed air energy storage project in Midwest independent system operator: a study for the DOE energy storage systems program [Sandia report]. CA: Sandia National Laboratories.

Sousa, M. D., Roque, A. & Casimiro, C. (2011). Analysis and simulation of a system connecting batteries of an electric vehicle to the electric grid. Proceedings from

Page 76: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

76

International Conference on Power Engineering, Energy and Electrical drives (pp. 1-6). Malaga: IEEE.

Sperling, D. & Gordon, D. (2009). Two billion cars: driving toward sustainability. New York: Oxford University Press.

Srivastava, A., Kumar, A. A. & Schulz, N. N. (2012). Impact of distributed generations with energy storage devices on the electric grid. IEEE Systems Journal, 6(1), 110-117.

Stewart, J. (2001). Intermediate Electromagnetic Theory. Singapore: World Scientific.

The White House (2011). State of the Union Address. Retrieved from http://www.whitehouse.gov/the-press-office/2011/01/25/remarks-president-state-union-address

US Energy Information Administration (2009). An Updated Annual Energy Outlook 2009 [Report]. Retrieved from http://www.eia.doe.gov/oiaf/servicerpt/stimulus/pdf/sroiaf%282009%2903.pdf

US Department of Treasury (2011). Daily treasure long term rate data. Retrieved 22nd April 2012 from http://www.treasury.gov/resource-center/data-chart-center/interest-rates/Pages/TextView.aspx?data=longtermrate

Zimba, J. (2009). Force and Motion: An Illustrated Guide to Newton’s Laws. Maryland: The Johns Hopkins University Press.

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Exhibit 1

<=0 >=100 >=200

0-4.9% 5-9.9% >=10%

Hour Ending: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 All On PkPacific G&E 37.05 32.42 29.17 28.59 27.91 30.98 31.35 34.90 36.76 41.01 44.10 46.52 46.89 49.51 57.04 60.76 67.57 51.48 50.83 47.69 47.34 44.87 39.44 35.54 42.49 47.41

SoCal Edison 36.16 31.53 28.26 27.56 27.01 30.05 30.86 34.36 36.47 40.97 44.64 47.44 49.31 51.26 58.96 69.44 69.70 52.99 51.92 48.46 47.70 45.53 39.11 35.03 43.11 48.75

San Diego G&E 36.13 31.56 28.24 27.58 27.02 30.03 31.01 34.48 36.67 41.01 44.49 47.12 48.95 50.76 58.37 68.77 68.85 52.33 51.20 48.20 47.42 45.36 38.91 35.10 42.90 48.44

NP-15 36.15 31.63 28.44 27.91 27.26 30.21 30.57 33.94 35.45 39.60 42.58 44.96 45.28 47.84 55.07 58.48 65.21 49.75 49.19 46.17 45.78 43.45 38.30 34.60 41.16 45.83

SP-15 35.41 30.90 27.71 27.03 26.48 29.42 30.36 33.72 35.76 40.13 43.63 46.29 48.12 49.94 57.39 67.61 67.80 51.64 50.70 47.42 46.71 44.62 38.15 34.31 42.14 47.62

Palo Verde 34.76 30.36 27.25 26.63 26.07 28.93 29.63 32.93 34.90 39.11 42.55 45.24 47.14 49.00 56.39 66.47 66.64 50.74 49.72 46.45 45.59 43.49 37.42 33.60 41.29 46.62

DA Forecast Load (GW) 26.7 25.1 24.1 23.6 23.9 24.9 26.3 28.4 30.4 32.2 33.9 35.3 36.2 37.5 38.5 39.1 39.4 38.8 37.6 36.3 36.1 34.9 31.9 28.8

Hour Ending: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 All On PkPacific G&E 25.62 26.28 23.08 22.26 18.86 26.89 23.31 18.31 33.67 41.99 34.04 38.85 37.33 38.42 34.24 39.94 40.47 40.47 37.08 31.25 31.20 28.07 33.57 26.28 31.31 34.29

SoCal Edison 24.96 25.32 22.21 21.40 18.17 26.02 23.01 18.06 26.31 29.60 32.04 39.69 41.10 40.00 43.21 41.87 42.30 42.10 38.35 32.01 31.71 28.46 30.97 26.06 31.04 34.36

San Diego G&E 24.93 25.24 22.16 21.34 18.14 26.01 23.06 18.15 26.40 29.63 32.04 39.71 41.15 40.00 43.26 41.97 42.38 42.07 38.25 31.94 31.61 28.43 30.91 25.94 31.03 34.38

NP-15 24.72 25.34 22.23 21.48 18.32 26.12 22.43 17.77 27.73 32.17 31.16 37.06 35.69 36.65 32.47 38.25 38.71 38.83 35.61 30.05 29.83 26.82 30.42 25.35 29.38 31.95

SP-15 24.41 24.76 21.73 20.94 17.78 25.46 22.63 17.75 25.80 28.98 31.31 38.74 40.13 39.03 42.23 40.84 41.27 41.05 37.43 31.30 31.03 27.90 30.20 25.44 30.34 33.59

Palo Verde 24.05 24.41 21.42 20.66 17.52 25.06 22.19 17.35 25.26 28.42 30.71 38.08 39.62 38.56 41.78 40.40 40.85 40.59 36.97 30.85 30.43 27.28 29.79 25.10 29.89 33.08

DA Forecast (GW) 26.66 25.10 24.12 23.63 23.86 24.93 26.27 28.38 30.39 32.20 33.93 35.26 36.23 37.46 38.46 39.14 39.36 38.80 37.64 36.28 36.15 34.94 31.89 28.76

Forecast Error % -9.1% -9.0% -9.0% -9.0% -8.7% -8.1% -7.1% -6.6% -6.1% -5.9% -5.4% -5.5% -6.2% -6.3% -6.7% -6.8% -6.6% -6.4% -6.7% -6.7% -7.0% -7.7% -8.1% -8.4%

For archival records go to http://www.ferc.gov/market-oversight/mkt-electric/caiso/caiso-iso-archives.asp

Avg. Hr $

Forecast Error %

CAISO Daily ReportFERC - Division of Energy Market Oversight - www.ferc.gov

PriceTuesday July 20, 2010

Avg. Hr $

Preliminary Real-Time Prices with Forecasted and Actual System Load

Day-Ahead Prices and DA Forecast Load

$0

$10

$20

$30

$40

$50

$60

$70

$80

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Hour

Pric

e ($

/MW

h)

10000

15000

20000

25000

30000

35000

40000

45000

Load

(MW

)

Cleared Load Pacific G&E SoCal Edison San Diego G&E NP-15 SP-15 Palo Verde

$0

$5

$10

$15

$20

$25

$30

$35

$40

$45

$50

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24Hour

Pric

e ($

/MW

h)

10000

15000

20000

25000

30000

35000

40000

45000

Load

(MW

)Actual Load Pacific G&E SoCal Edison San Diego G&E NP-15 SP-15 Palo Verde DA Forecast

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Exhibit 2

Load

(MW)

Actual

Load

Pacific

G&E

SoCal

Ediso

nSan

Diego

G&E

NP‐15

SP‐15

Palo

Verde

DAForecast

<=0

>=10

0>=20

00‐4.9%

5‐9.9%

>=10

%Ho

urEnding:

12

34

56

78

910

1112

1314

1516

1718

1920

2122

2324

All

On

Pacific

G&E

37,05

32,42

29,17

28,59

27,91

30,98

31,35

34,9

36,76

41,01

44,1

46,52

46,89

49,51

57,04

60,76

67,57

51,48

50,83

47,69

47,34

44,87

39,44

35,54

42,49

47,41

SoCal

Ediso

n36

,16

31,53

28,26

27,56

27,01

30,05

30,86

34,36

36,47

40,97

44,64

47,44

49,31

51,26

58,96

69,44

69,7

52,99

51,92

48,46

47,7

45,53

39,11

35,03

43,11

48,75

San

Diego

36,13

31,56

28,24

27,58

27,02

30,03

31,01

34,48

36,67

41,01

44,49

47,12

48,95

50,76

58,37

68,77

68,85

52,33

51,2

48,2

47,42

45,36

38,91

35,1

42,9

48,44

NP‐15

36,15

31,63

28,44

27,91

27,26

30,21

30,57

33,94

35,45

39,6

42,58

44,96

45,28

47,84

55,07

58,48

65,21

49,75

49,19

46,17

45,78

43,45

38,3

34,6

41,16

45,83

SP‐15

35,41

30,9

27,71

27,03

26,48

29,42

30,36

33,72

35,76

40,13

43,63

46,29

48,12

49,94

57,39

67,61

67,8

51,64

50,7

47,42

46,71

44,62

38,15

34,31

42,14

47,62

Palo

Verde

34,76

30,36

27,25

26,63

26,07

28,93

29,63

32,93

34,9

39,11

42,55

45,24

47,14

4956

,39

66,47

66,64

50,74

49,72

46,45

45,59

43,49

37,42

33,6

41,29

DAForecast

Load

(GW)

26,7

25,1

24,1

23,6

23,9

24,9

26,3

28,4

30,4

32,2

33,9

35,3

36,2

37,5

38,5

39,1

39,4

38,8

37,6

36,3

36,1

34,9

31,9

28,8

Hour

Ending:

12

34

56

78

910

1112

1314

1516

1718

1920

2122

2324

All

On

Pacific

G&E

25,62

26,28

23,08

22,26

18,86

26,89

23,31

18,31

33,67

41,99

34,04

38,85

37,33

38,42

34,24

39,94

40,47

40,47

37,08

31,25

31,2

28,07

33,57

26,28

31,31

34,29

SoCal

Ediso

n24

,96

25,32

22,21

21,4

18,17

26,02

23,01

18,06

26,31

29,6

32,04

39,69

41,1

4043

,21

41,87

42,3

42,1

38,35

32,01

31,71

28,46

30,97

26,06

31,04

34,36

San

Diego

24,93

25,24

22,16

21,34

18,14

26,01

23,06

18,15

26,4

29,63

32,04

39,71

41,15

4043

,26

41,97

42,38

42,07

38,25

31,94

31,61

28,43

30,91

25,94

31,03

34,38

NP‐15

24,72

25,34

22,23

21,48

18,32

26,12

22,43

17,77

27,73

32,17

31,16

37,06

35,69

36,65

32,47

38,25

38,71

38,83

35,61

30,05

29,83

26,82

30,42

25,35

29,38

31,95

SP‐15

24,41

24,76

21,73

20,94

17,78

25,46

22,63

17,75

25,8

28,98

31,31

38,74

40,13

39,03

42,23

40,84

41,27

41,05

37,43

31,3

31,03

27,9

30,2

25,44

30,34

33,59

Palo

Verde

24,05

24,41

21,42

20,66

17,52

25,06

22,19

17,35

25,26

28,42

30,71

38,08

39,62

38,56

41,78

40,4

40,85

40,59

36,97

30,85

30,43

27,28

29,79

25,1

29,89

33,08

DAForecast

26,66

25,1

24,12

23,63

23,86

24,93

26,27

28,38

30,39

32,2

33,93

35,26

36,23

37,46

38,46

39,14

39,36

38,8

37,64

36,28

36,15

34,94

31,89

28,76

Forecast

Error

‐0,091

‐0,09

‐0,09

‐0,09

‐0,087

‐0,081

‐0,071

‐0,066

‐0,061

‐0,059

‐0,054

‐0,055

‐0,062

‐0,063

‐0,067

‐0,068

‐0,066

‐0,06 4

‐0,067

‐0,067

‐0,07

‐0,077

‐0,081

‐0,084

For

archival

records

goto

http://w

ww.fe

rc.gov/m

arket‐oversig

ht/m

kt‐electric/caiso/caiso‐iso‐archives.asp

Avg.

Hr$

Forecast

Error

%CA

ISO

Daily

Repo

rtFERC

‐Divisio

nof

Energy

Market

Oversight

‐www.fe

rc.gov

Tuesday

July

20,

2010

Price

Avg.

Hr$

Prelim

inary

Real‐Tim

ePrices

with

Forecasted

and

Actual

System

Load

Day‐Ah

ead

Prices

and

DAForecast

Load

Exhibit 2

Page 79: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 3

2010

0:00

 ‐ 1:00

1:00

 ‐ 2:00

2:00

 ‐ 3:00

3:00

 ‐ 4:00

4:00

 ‐ 5:00

5:00

 ‐ 6:00

6:00

 ‐ 7:00

7:00

 ‐ 8:00

8:00

 ‐ 9:00

9:00

 ‐ 10

:00

10:00 ‐ 1

1:00

11:00 ‐ 1

2:00

12:00 ‐ 1

3:00

13:00 ‐ 1

4:00

14:00 ‐ 1

5:00

15:00 ‐ 1

6:0

16:00 ‐ 1

7:00

17:00 ‐ 1

8:00

18:00 ‐ 1

9:00

19:00 ‐ 2

0:00

20:00‐ 21:00

21:00 ‐ 2

2:00

22:00 ‐ 2

3:00

23:00 ‐ 0

:00

01.07.10

12,83

10,27

7,02

3,05

7,96

12,79

13,34

10,8

26,33

33,55

35,08

35,64

36,43

37,44

46,13

54,56

50,84

39,5

36,7

36,46

36,15

35,99

33,22

26,11

02.07.10

16,71

10,18

9,24

5,08

7,72

10,28

19,66

22,51

29,41

33,03

36,56

36,26

36,82

37,94

4546

,91

46,54

41,6

36,97

35,2

36,31

39,27

35,18

28,07

03.07.10

21,13

14,22

10,11

7,61

6,69

6,66

2,04

9,91

20,25

27,07

32,92

34,04

34,21

34,46

41,74

44,84

45,74

43,05

39,03

35,7

39,95

37,6

32,73

26,05

04.07.10

26,1

23,46

14,91

10,14

9,03

6,96

00

10,19

20,93

30,28

30,4

32,68

35,49

39,2

42,41

46,28

47,12

42,86

39,78

38,83

34,58

32,7

27,08

05.07.10

16,83

12,21

10,02

8,76

8,29

0‐10,15

‐0,01

10,18

21,27

30,06

32,92

31,23

34,49

40,49

43,39

46,22

43,46

41,8

36,55

39,5

34,48

30,2

26,02

06.07.10

16,64

15,61

10,15

8,87

10,96

15,17

20,34

27,12

31,37

34,93

37,31

40,22

40,72

43,23

49,1

50,14

49,26

44,96

42,51

35,49

36,99

42,11

30,58

25,4

07.07.10

26,07

25,17

22,8

16,07

19,57

23,33

18,03

24,83

32,58

34,76

37,42

41,07

40,2

42,94

48,52

52,4

50,92

45,21

42,31

35,3

38,68

37,6

36,59

34,8

08.07.10

27,04

27,13

24,93

17,65

21,67

27,75

26,45

30,53

34,9

36,32

36,87

40,09

39,66

41,75

47,49

50,28

49,61

44,15

4239

,24

39,82

37,96

35,74

34,49

09.07.10

27,07

24,95

23,86

16,32

19,88

24,69

24,83

25,96

33,84

34,57

37,47

39,54

39,58

43,14

47,54

50,9

49,49

44,08

41,52

39,16

39,94

37,88

35,74

33,84

10.07.10

30,9

30,32

25,83

24,19

23,05

2311

,63

19,22

26,45

33,56

34,42

36,91

35,61

35,29

39,96

44,36

44,18

40,84

38,98

34,79

36,97

36,52

37,69

33,61

11.07.10

26,39

22,66

20,99

14,68

11,2

9,69

‐9,94

‐5,07

10,75

17,24

26,36

27,91

28,16

31,03

33,16

36,43

38,37

39,08

36,64

33,08

36,67

33,14

29,63

25,97

12.07.10

22,33

19,91

20,09

15,15

17,72

24,57

14,7

18,39

26,58

30,61

33,11

34,38

36,37

39,37

41,75

47,37

47,27

40,34

37,14

33,95

34,28

31,91

33,8

29,22

13.07.10

27,58

24,78

22,77

16,58

18,88

23,88

21,56

22,78

28,41

31,66

34,51

35,94

36,42

38,3

41,55

47,41

48,13

39,7

37,97

35,75

35,73

35,31

34,84

32,9

14.07.10

29,55

27,96

25,94

22,23

22,59

26,26

23,25

26,63

30,68

34,85

3940

,03

41,94

47,91

51,7

62,78

63,8

49,9

47,56

42,01

42,55

38,19

35,02

33,95

15.07.10

30,55

28,74

21,58

21,26

21,3

23,47

25,19

30,64

35,29

37,92

44,32

46,6

47,88

58,05

68,89

78,1

78,48

64,72

55,85

48,39

46,1

43,89

38,13

34,3

16.07.10

35,54

31,19

29,1

26,22

22,71

26,32

29,24

33,37

37,79

43,12

46,14

49,38

69,1

79,56

97,9

105,55

96,7

78,79

65,2

51,65

48,07

46,91

41,4

37,66

17.07.10

31,82

30,25

26,42

25,43

15,51

11,65

1,04

12,37

30,26

36,99

42,31

46,02

50,17

58,51

80,65

87,2

87,37

77,62

53,02

49,49

48,51

46,52

40,15

35,01

18.07.10

36,71

34,82

30,34

24,82

23,25

15,61

0,05

8,35

26,98

34,94

37,96

44,08

47,55

50,95

57,89

71,78

83,8

60,07

52,66

49,73

47,76

44,94

38,22

35,06

19.07.10

31,13

28,21

20,24

18,67

18,67

28,23

29,05

34,26

35,77

40,19

45,31

49,2

50,07

55,06

82,44

94,15

89,35

59,52

51,7

49,02

49,54

46,69

37,77

34,82

20.07.10

36,13

31,56

28,24

27,58

27,02

30,03

31,01

34,48

36,67

41,01

44,49

47,12

48,95

50,76

58,37

68,77

68,85

52,33

51,2

48,2

47,42

45,36

38,91

35,1

21.07.10

26,35

26,83

25,06

19,94

21,77

27,58

29,13

32,37

34,77

35,79

38,8

44,02

47,46

50,41

56,65

62,54

60,34

50,83

48,69

46,77

46,19

43,93

35,58

34,23

22.07.10

31,02

29,81

27,1

24,55

26,34

29,25

26,33

27,35

31,33

35,77

37,51

38,68

43,89

46,6

51,75

55,99

53,03

48,67

46,16

42,77

39,83

35,78

34,96

32,65

23.07.10

31,91

30,06

27,83

26,96

27,07

30,09

29,38

32,02

35,67

36,85

39,87

45,02

45,11

50,59

55,55

57,86

57,6

50,1

48,13

44,02

44,52

39,74

36,23

34,72

24.07.10

34,52

31,72

28,46

27,42

24,54

26,25

17,85

22,42

30,42

35,11

37,08

39,4

42,33

45,98

50,42

56,94

56,84

51,01

49,06

45,32

46,44

40,31

35,85

36,09

25.07.10

33,1

30,29

26,94

19,93

19,32

13,99

11,37

12,57

20,8

32,83

37,51

38,11

41,56

44,98

48,64

51,35

53,51

51,57

48,6

46,37

46,46

41,94

34,64

32,03

26.07.10

30,72

29,09

26,95

18,57

20,7

30,47

30,55

32,12

35,67

39,3

42,04

46,77

49,25

50,65

53,06

58,38

59,23

50,24

49,72

46,67

48,14

42,21

35,96

33,7

27.07.10

35,14

30,65

29,95

24,01

26,53

29,44

30,47

32,27

34,87

36,8

38,03

40,87

44,36

47,17

50,73

53,02

52,38

48,59

46,8

43,92

44,44

38,13

35,77

33,86

28.07.10

31,69

29,82

27,28

24,08

25,42

30,39

32,03

32,02

35,4

36,71

37,44

38,33

41,87

43,46

46,01

48,62

47,56

42,64

42,34

40,22

41,78

37,99

33,92

31,21

29.07.10

33,27

28,92

27,61

26,43

26,49

29,84

30,2

31,08

34,87

35,81

37,1

39,7

44,3

47,52

51,93

52,79

52,06

49,19

48,06

45,08

47,99

39,61

37,53

35,16

30.07.10

30,34

27,04

25,41

22,63

21,21

27,09

29,25

29,54

32,29

36,02

37,12

38,11

40,8

44,55

48,46

49,06

48,23

42,45

40,23

37,33

37,41

36,18

35,49

32,58

31.07.10

35,02

32,35

30,13

28,22

27,91

28,72

26,53

29,02

33,48

37,05

41,64

45,3

49,05

51,83

55,04

55,12

55,16

53,57

49,5

46,7

47,9

47,88

36,25

34,93

01.07.10

20,9

30,81

27,45

21,47

12,49

‐19,86

4,75

29,12

‐17,71

‐0,03

27,56

31,72

29,98

15,86

34,8

35,89

32,25

30,51

28,27

26,05

26,83

31,87

29,43

28,55

02.07.10

28,77

32,05

34,01

28,93

28,54

‐6,9

4,65

29,63

14,93

24,25

31,21

32,54

35,44

31,65

37,88

41,14

41,78

34,05

28,43

26,22

25,61

27,57

26,73

64,81

03.07.10

25,71

42,53

33,99

27,29

26,91

36,1

34,75

29,14

23,39

8,37

2,81

21,25

20,39

25,38

26,36

28,75

3131

,34

30,35

28,55

28,23

30,12

48,23

19,47

04.07.10

12,19

24,99

34,99

27,15

12,43

34,93

38,94

50,19

‐19,04

6,38

‐20,36

‐12

13,97

15,83

21,13

20,16

25,12

22,23

11,8

14,22

‐19,54

16,07

20,83

201,53

05.07.10

84,4

‐1,34

27,4

31,82

‐6,86

‐19,04

12,51

35,58

9,34

18,86

27,57

31,71

29,06

36,75

34,99

42,51

176,23

48,6

46,1

31,6

374,43

43,31

21,83

‐5,41

06.07.10

24,2

33,77

26,41

30,56

‐14,78

‐21,04

‐29,41

14,71

17,87

15,88

24,65

25,55

26,86

26,05

26,57

27,1

27,45

26,42

26,21

23,83

27,11

27,55

22,15

24,18

07.07.10

59,21

26,23

22,72

25,61

22,93

23,8

11,06

21,92

26,68

28,85

26,5

27,84

27,39

27,5

2828

,02

3029

,128

,82

27,34

27,46

25,6

27,55

29,24

08.07.10

20,93

26,52

29,91

23,24

4,44

16,14

24,74

20,32

19,63

23,03

28,29

29,88

27,05

26,11

30,85

36,07

39,05

35,22

30,86

33,13

28,97

31,88

28,1

18,27

09.07.10

25,61

20,51

19,56

3,85

‐18,32

‐7,68

17,14

14,11

15,14

21,86

28,23

31,24

31,45

34,97

43,35

45,12

58,99

41,83

37,88

31,6

26,31

29,82

30,93

29,46

10.07.10

2518

,59

29,47

32,37

22,74

19,51

32,53

24,72

17,41

26,63

28,25

41,17

35,23

37,03

40,25

40,61

55,89

43,87

33,64

40,81

40,11

38,62

32,99

31,76

11.07.10

22,35

10,4

32,36

27,98

27,34

26,24

28,22

20,93

‐29,29

‐23,79

10,03

31,67

32,59

26,88

26,7

26,75

28,12

29,51

27,27

26,58

28,39

27,62

3231

,51

12.07.10

15,59

3,38

23,67

14,39

1,73

‐24,48

7,38

19,52

17,74

27,17

29,96

30,87

31,66

30,3

37,52

42,23

37,93

33,65

30,42

27,4

28,15

29,06

33,35

30,19

13.07.10

26,21

16,37

21,16

‐22,47

‐28,07

‐0,19

‐2,4

22,51

25,76

28,26

31,01

32,83

42,82

50,57

43,82

165,74

269,63

48,36

50,39

36,04

36,36

37,54

32,31

37,88

14.07.10

30,49

27,16

28,04

28,2

8,07

20,34

27,81

31,86

33,29

38,74

42,57

47,67

46,21

49,2

40,17

216,23

84,79

77,5

54,17

53,49

50,38

50,7

47,58

37,66

15.07.10

40,02

28,36

28,43

28,6

27,03

1,72

25,14

27,87

40,29

44,71

44,58

49,75

407,01

734,08

734,08

343,91

165,39

46,59

188,23

46,61

42,82

40,16

48,15

38,58

16.07.10

25,42

29,8

15,84

‐16,27

‐10,84

20,2

20,43

27,51

29,23

34,12

43,98

138,31

47,31

45,3

62,47

53,65

67,17

45,91

41,88

39,42

39,93

35,74

30,7

28,98

17.07.10

32,94

3329

,77

‐1,41

‐8,38

16,5

‐6,07

‐3,56

16,16

33,12

38,39

45,67

54,21

68,09

128,29

698,38

84,28

48,65

45,78

43,41

44,66

38,86

31,63

28,19

18.07.10

35,29

30,41

29,08

5,58

‐18,52

26,32

31,66

17,36

19,37

25,71

29,64

30,92

34,02

40,2

45,3

46,62

46,33

46,63

42,91

39,63

41,54

38,27

32,79

32,9

19.07.10

19,5

27,96

25,11

29,14

29,92

30,51

20,85

30,44

34,76

39,69

42,79

47,61

46,26

45,64

48,17

48,31

47,92

47,14

43,68

36,06

38,56

34,07

29,86

26,3

20.07.10

24,93

25,24

22,16

21,34

18,14

26,01

23,06

18,15

26,4

29,63

32,04

39,71

41,15

4043

,26

41,97

42,38

42,07

38,25

31,94

31,61

28,43

30,91

25,94

21.07.10

23,74

29,61

31,38

25,99

27,29

31,43

3332

,81

31,15

30,9

32,52

35,46

34,57

32,29

32,63

37,47

36,45

35,49

36,6

30,97

31,2

29,12

24,73

21,17

22.07.10

3432

,91

30,42

29,63

30,84

31,7

31,04

30,08

32,87

28,28

29,53

30,4

32,72

32,08

31,43

32,29

37,5

43,87

43,79

34,42

27,91

30,42

34,05

30,87

23.07.10

38,11

34,14

31,75

32,42

34,25

29,4

34,67

37,26

35,01

36,11

38,83

57,97

49,4

44,31

56,78

43,22

4851

,35

50,27

92,78

47,43

50,01

41,4

39,7

24.07.10

42,91

38,57

29,84

28,42

26,39

28,63

30,02

29,32

29,96

32,15

37,38

41,67

49,27

53,06

53,94

46,06

74,75

47,64

49,46

46,97

43,39

38,76

34,78

32,3

25.07.10

31,32

30,19

27,28

27,07

26,89

18,1

24,35

28,56

20,04

30,31

28,18

31,85

32,94

42,08

46,24

50,8

55,55

38,35

43,73

34,56

47,1

40,04

33,22

31,62

26.07.10

29,86

32,29

30,87

29,14

29,42

24,06

26,77

36,6

30,28

31,92

34,16

43,17

39,11

43,55

45,86

50,52

44,54

42,93

40,96

33,86

35,13

33,2

35,32

31,66

27.07.10

30,9

30,79

27,25

27,82

15,18

4,02

15,03

22,6

29,41

28,41

29,63

32,15

34,16

37,68

37,61

39,57

41,18

35,71

31,06

29,55

28,99

27,96

31,91

26,45

28.07.10

29,38

28,62

23,71

12,91

27,15

27,45

19,81

27,71

30,75

30,46

30,78

35,92

33,15

34,69

31,89

31,75

36,7

33,33

153,2

34,58

33,49

32,36

33,86

33,73

29.07.10

35,86

32,33

24,7

2,29

8,43

30,82

10,93

29,8

33,62

32,8

3443

,22

45,49

44,55

48,44

49,17

164,32

267,02

31,38

16,53

211,31

42,86

37,1

5,44

30.07.10

30,37

26,86

23,81

5,06

28,08

30,39

12,03

33,76

168,19

422,99

77,24

121,76

338,81

269,16

665,61

98,19

59,04

42,24

49,65

37,46

39,82

34,48

202,83

39,11

31.07.10

24,42

35,57

30,65

29,76

16,5

24,72

5,3

‐11,23

26,37

40,25

39,56

222,33

59,21

49,75

44,73

42,15

39,28

36,33

34,77

31,4

31,81

31,48

31,2

19,2

Exhibit 3

Page 80: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 4

2010

0:00

 ‐ 3:00

1:00

 ‐ 3:00

2:00

 ‐ 5:00

3:00

 ‐ 6:00

4:00

 ‐ 7:00

5:00

 ‐ 8:00

6:00

 ‐ 9:00

7:00

 ‐ 10

:00

8:00

 ‐ 11

:00

9:00

 ‐ 12

:00

10:00 ‐ 1

3:00

11:00 ‐ 1

4:00

12:00 ‐ 1

5:00

13:00 ‐ 1

6:00

14:00 ‐ 1

7:00

15:00 ‐ 1

8:00

16:00 ‐ 1

9:00

17:00 ‐ 2

0:00

18:00 ‐ 2

1:00

19:00 ‐ 2

2:00

20:00‐ 23:00

21:00 ‐ 2

4:00

01.07.10

30,12

20,34

18,03

23,8

34,09

36,93

50,47

70,68

94,96

104,27

107,15

109,51

120

138,13

151,53

144,9

127,04

112,66

109,31

108,6

105,36

95,32

02.07.10

36,13

24,5

22,04

23,08

37,66

52,45

71,58

84,95

9910

5,85

109,64

111,02

119,76

129,85

138,45

135,05

125,11

113,77

108,48

110,78

110,76

102,52

03.07.10

45,46

31,94

24,41

20,96

15,39

18,61

32,2

57,23

80,24

94,03

101,17

102,71

110,41

121,04

132,32

133,63

127,82

117,78

114,68

113,25

110,28

96,38

04.07.10

64,47

48,51

34,08

26,13

15,99

6,96

10,19

31,12

61,4

81,61

93,36

98,57

107,37

117,1

127,89

135,81

136,26

129,76

121,47

113,19

106,11

94,36

05.07.10

39,06

30,99

27,07

17,05

‐1,86

‐10,16

0,02

31,44

61,51

84,25

94,21

98,64

106,21

118,37

130,1

133,07

131,48

121,81

117,85

110,53

104,18

90,7

06.07.10

42,4

34,63

29,98

3546

,47

62,63

78,83

93,42

103,61

112,46

118,25

124,17

133,05

142,47

148,5

144,36

136,73

122,96

114,99

114,59

109,68

98,09

07.07.10

74,04

64,04

58,44

58,97

60,93

66,19

75,44

92,17

104,76

113,25

118,69

124,21

131,66

143,86

151,84

148,53

138,44

122,82

116,29

111,58

112,87

108,99

08.07.10

79,1

69,71

64,25

67,07

75,87

84,73

91,88

101,75

108,09

113,28

116,62

121,5

128,9

139,52

147,38

144,04

135,76

125,39

121,06

117,02

113,52

108,19

09.07.10

75,88

65,13

60,06

60,89

69,4

75,48

84,63

94,37

105,88

111,58

116,59

122,26

130,26

141,58

147,93

144,47

135,09

124,76

120,62

116,98

113,56

107,46

10.07.10

87,05

80,34

73,07

70,24

57,68

53,85

57,3

79,23

94,43

104,89

106,94

107,81

110,86

119,61

128,5

129,38

124

114,61

110,74

108,28

111,18

107,82

11.07.10

70,04

58,33

46,87

35,57

10,95

‐5,32

‐4,26

22,92

54,35

71,51

82,43

87,1

92,35

100,62

107,96

113,88

114,09

108,8

106,39

102,89

99,44

88,74

12.07.10

62,33

55,15

52,96

57,44

56,99

57,66

59,67

75,58

90,3

98,1

103,86

110,12

117,49

128,49

136,39

134,98

124,75

111,43

105,37

100,14

99,99

94,93

13.07.10

75,13

64,13

58,23

59,34

64,32

68,22

72,75

82,85

94,58

102,11

106,87

110,66

116,27

127,26

137,09

135,24

125,8

113,42

109,45

106,79

105,88

103,05

14.07.10

83,45

76,13

70,76

71,08

72,1

76,14

80,56

92,16

104,53

113,88

120,97

129,88

141,55

162,39

178,28

176,48

161,26

139,47

132,12

122,75

115,76

107,16

15.07.10

80,87

71,58

64,14

66,03

69,96

79,3

91,12

103,85

117,53

128,84

138,8

152,53

174,82

205,04

225,47

221,3

199,05

168,96

150,34

138,38

128,12

116,32

16.07.10

95,83

86,51

78,03

75,25

78,27

88,93

100,4

114,28

127,05

138,64

164,62

198,04

246,56

283,01

300,15

281,04

240,69

195,64

164,92

146,63

136,38

125,97

17.07.10

88,49

82,1

67,36

52,59

28,2

25,06

43,67

79,62

109,56

125,32

138,5

154,7

189,33

226,36

255,22

252,19

218,01

180,13

151,02

144,52

135,18

121,68

18.07.10

101,87

89,98

78,41

63,68

38,91

24,01

35,38

70,27

99,88

116,98

129,59

142,58

156,39

180,62

213,47

215,65

196,53

162,46

150,15

142,43

130,92

118,22

19.07.10

79,58

67,12

57,58

65,57

75,95

91,54

99,08

110,22

121,27

134,7

144,58

154,33

187,57

231,65

265,94

243,02

200,57

160,24

150,26

145,25

134

119,28

20.07.10

95,93

87,38

82,84

84,63

88,06

95,52

102,16

112,16

122,17

132,62

140,56

146,83

158,08

177,9

195,99

189,95

172,38

151,73

146,82

140,98

131,69

119,37

21.07.10

78,24

71,83

66,77

69,29

78,48

89,08

96,27

102,93

109,36

118,61

130,28

141,89

154,52

169,6

179,53

173,71

159,86

146,29

141,65

136,89

125,7

113,74

22.07.10

87,93

81,46

77,99

80,14

81,92

82,93

85,01

94,45

104,61

111,96

120,08

129,17

142,24

154,34

160,77

157,69

147,86

137,6

128,76

118,38

110,57

103,39

23.07.10

89,8

84,85

81,86

84,12

86,54

91,49

97,07

104,54

112,39

121,74

130

140,72

151,25

164

171,01

165,56

155,83

142,25

136,67

128,28

120,49

110,69

24.07.10

94,7

87,6

80,42

78,21

68,64

66,52

70,69

87,95

102,61

111,59

118,81

127,71

138,73

153,34

164,2

164,79

156,91

145,39

140,82

132,07

122,6

112,25

25.07.10

90,33

77,16

66,19

53,24

44,68

37,93

44,74

66,2

91,14

108,45

117,18

124,65

135,18

144,97

153,5

156,43

153,68

146,54

141,43

134,77

123,04

108,61

26.07.10

86,76

74,61

66,22

69,74

81,72

93,14

98,34

107,09

117,01

128,11

138,06

146,67

152,96

162,09

170,67

167,85

159,19

146,63

144,53

137,02

126,31

111,87

27.07.10

95,74

84,61

80,49

79,98

86,44

92,18

97,61

103,94

109,7

115,7

123,26

132,4

142,26

150,92

156,13

153,99

147,77

139,31

135,16

126,49

118,34

107,76

28.07.10

88,79

81,18

76,78

79,89

87,84

94,44

99,45

104,13

109,55

112,48

117,64

123,66

131,34

138,09

142,19

138,82

132,54

125,2

124,34

119,99

113,69

103,12

29.07.10

89,8

82,96

80,53

82,76

86,53

91,12

96,15

101,76

107,78

112,61

121,1

131,52

143,75

152,24

156,78

154,04

149,31

142,33

141,13

132,68

125,13

112,3

30.07.10

82,79

75,08

69,25

70,93

77,55

85,88

91,08

97,85

105,43

111,25

116,03

123,46

133,81

142,07

145,75

139,74

130,91

120,01

114,97

110,92

109,08

104,25

31.07.10

97,5

90,7

86,26

84,85

83,16

84,27

89,03

99,55

112,17

123,99

135,99

146,18

155,92

161,99

165,32

163,85

158,23

149,77

144,1

142,48

132,03

119,06

01.07.10

79,16

79,73

61,41

14,1

‐2,62

14,01

16,16

11,38

9,82

59,25

89,26

77,56

80,64

86,55

102,94

98,65

91,03

84,83

81,15

84,75

88,13

89,85

02.07.10

94,83

94,99

91,48

50,57

26,29

27,38

49,21

68,81

70,39

8899

,19

99,63

104,97

110,67

120,8

116,97

104,26

88,7

80,26

79,4

79,91

119,11

03.07.10

102,23

103,81

88,19

90,3

97,76

99,99

87,28

60,9

34,57

32,43

44,45

67,02

72,13

80,49

86,11

91,09

92,69

90,24

87,13

86,9

106,58

97,82

04.07.10

72,17

87,13

74,57

74,51

86,3

124,06

70,09

37,53

‐33,02

‐25,98

‐18,39

17,8

50,93

57,12

66,41

67,51

59,15

48,25

6,48

10,75

17,36

238,43

05.07.10

110,46

57,88

52,36

5,92

‐13,39

29,05

57,43

63,78

55,77

78,14

88,34

97,52

100,8

114,25

253,73

267,34

270,93

126,3

452,13

449,34

439,57

59,73

06.07.10

84,38

90,74

42,19

‐5,26

‐65,23

‐35,74

3,17

48,46

58,4

66,08

77,06

78,46

79,48

79,72

81,12

80,97

80,08

76,46

77,15

78,49

76,81

73,88

07.07.10

108,16

74,56

71,26

72,34

57,79

56,78

59,66

77,45

82,03

83,19

81,73

82,73

82,89

83,52

86,02

87,12

87,92

85,26

83,62

80,4

80,61

82,39

08.07.10

77,36

79,67

57,59

43,82

45,32

61,2

64,69

62,98

70,95

81,2

85,22

83,04

84,01

93,03

105,97

110,34

105,13

99,21

92,96

93,98

88,95

78,25

09.07.10

65,68

43,92

5,09

‐22,15

‐8,86

23,57

46,39

51,11

65,23

81,33

90,92

97,66

109,77

123,44

147,46

145,94

138,7

111,31

95,79

87,73

87,06

90,21

10.07.10

73,06

80,43

84,58

74,62

74,78

76,76

74,66

68,76

72,29

96,05

104,65

113,43

112,51

117,89

136,75

140,37

133,4

118,32

114,56

119,54

111,72

103,37

11.07.10

65,11

70,74

87,68

81,56

81,8

75,39

19,86

‐32,15

‐43,05

17,91

74,29

91,14

86,17

80,33

81,57

84,38

84,9

83,36

82,24

82,59

88,01

91,13

12.07.10

42,64

41,44

39,79

‐8,36

‐15,37

2,42

44,64

64,43

74,87

8892

,49

92,83

99,48

110,05

117,68

113,81

102

91,47

85,97

84,61

90,56

92,6

13.07.10

63,74

15,06

‐29,38

‐50,73

‐30,66

19,92

45,87

76,53

85,03

92,1

106,66

126,22

137,21

260,13

479,19

483,73

368,38

134,79

122,79

109,94

106,21

107,73

14.07.10

85,69

83,4

64,31

56,61

56,22

80,01

92,96

103,89

114,6

128,98

136,45

143,08

135,58

305,6

341,19

378,52

216,46

185,16

158,04

154,57

148,66

135,94

15.07.10

96,81

85,39

84,06

57,35

53,89

54,73

93,3

112,87

129,58

139,04

501,34

1190

,84

1141

,09

1077

,99

509,3

555,89

400,21

281,43

277,66

129,59

131,13

126,89

16.07.10

71,06

29,37

‐11,27

‐6,91

29,79

68,14

77,17

90,86

107,33

216,41

229,6

230,92

155,08

161,42

183,29

166,73

154,96

127,21

121,23

115,09

106,37

95,42

17.07.10

95,71

61,36

19,98

6,71

2,05

6,87

6,53

45,72

87,67

117,18

138,27

167,97

250,59

894,76

910,95

831,31

178,71

137,84

133,85

126,93

115,15

98,68

18.07.10

94,78

65,07

16,14

13,38

39,46

75,34

68,39

62,44

74,72

86,27

94,58

105,14

119,52

132,12

138,25

139,58

135,87

129,17

124,08

119,44

112,6

103,96

19.07.10

72,57

82,21

84,17

89,57

81,28

81,8

86,05

104,89

117,24

130,09

136,66

139,51

140,07

142,12

144,4

143,37

138,74

126,88

118,3

108,69

102,49

90,23

20.07.10

72,33

68,74

61,64

65,49

67,21

67,22

67,61

74,18

88,07

101,38

112,9

120,86

124,41

125,23

127,61

126,42

122,7

112,26

101,8

91,98

90,95

85,28

21.07.10

84,73

86,98

84,66

84,71

91,72

97,24

96,96

94,86

94,57

98,88

102,55

102,32

99,49

102,39

106,55

109,41

108,54

103,06

98,77

91,29

85,05

75,02

22.07.10

97,33

92,96

90,89

92,17

93,58

92,82

93,99

91,23

90,68

88,21

92,65

95,2

96,23

95,8

101,22

113,66

125,16

122,08

106,12

92,75

92,38

95,34

23.07.10

104

98,31

98,42

96,07

98,32

101,33

106,94

108,38

109,95

132,91

146,2

151,68

150,49

144,31

148

142,57

149,62

194,4

190,48

190,22

138,84

131,11

24.07.10

111,32

96,83

84,65

83,44

85,04

87,97

89,3

91,43

99,49

111,2

128,32

144

156,27

153,06

174,75

168,45

171,85

144,07

139,82

129,12

116,93

105,84

25.07.10

88,79

84,54

81,24

72,06

69,34

71,01

72,95

78,91

78,53

90,34

92,97

106,87

121,26

139,12

152,59

144,7

137,63

116,64

125,39

121,7

120,36

104,88

26.07.10

93,02

92,3

89,43

82,62

80,25

87,43

93,65

98,8

96,36

109,25

116,44

125,83

128,52

139,93

140,92

137,99

128,43

117,75

109,95

102,19

103,65

100,18

27.07.10

88,94

85,86

70,25

47,02

34,23

41,65

67,04

80,42

87,45

90,19

95,94

103,99

109,45

114,86

118,36

116,46

107,95

96,32

89,6

86,5

88,86

86,32

28.07.10

81,71

65,24

63,77

67,51

74,41

74,97

78,27

88,92

91,99

97,16

99,85

103,76

99,73

98,33

100,34

101,78

223,23

221,11

221,27

100,43

99,71

99,95

29.07.10

92,89

59,32

35,42

41,54

50,18

71,55

74,35

96,22

100,42

110,02

122,71

133,26

138,48

142,16

261,93

480,51

462,72

314,93

259,22

270,7

291,27

85,4

30.07.10

81,04

55,73

56,95

63,53

70,5

76,18

213,98

624,94

668,42

621,99

537,81

729,73

1273

,58

1032

,96

822,84

199,47

150,93

129,35

126,93

111,76

277,13

276,42

31.07.10

90,64

95,98

76,91

70,98

46,52

18,79

20,44

55,39

106,18

302,14

321,1

331,29

153,69

136,63

126,16

117,76

110,38

102,5

97,98

94,69

94,49

81,88

Exhibit 4

Page 81: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 5

2010

0:00

 ‐ 3:00

1:00

 ‐ 3:00

2:00

 ‐ 5:00

3:00

 ‐ 6:00

4:00

 ‐ 7:00

5:00

 ‐ 8:00

6:00

 ‐ 9:00

7:00

 ‐ 10

:00

8:00

 ‐ 11

:00

9:00

 ‐ 12

:00

10:00 ‐ 1

3:00

11:00 ‐ 1

4:00

12:00 ‐ 1

5:00

13:00 ‐ 1

6:00

14:00 ‐ 1

7:00

15:00 ‐ 1

8:00

16:00 ‐ 1

9:00

17:00 ‐ 2

0:00

18:00 ‐ 2

1:00

19:00 ‐ 2

2:00

20:00‐ 23:00

21:00 ‐ 2

4:00

MIN

MAX

COST

REV

GMGM

 mon

th01

.07.10

30,12

20,34

18,03

23,8

34,09

36,93

50,47

70,68

94,96

104,27

107,15

109,51

120

138,13

151,53

144,9

127,04

112,66

109,31

108,6

105,36

95,32

18,03

151,53

450,75

$       

3.78

8,25

$     

3.33

7,50

$     

02.07.10

36,13

24,5

22,04

23,08

37,66

52,45

71,58

84,95

9910

5,85

109,64

111,02

119,76

129,85

138,45

135,05

125,11

113,77

108,48

110,78

110,76

102,52

22,04

138,45

551,00

$       

3.46

1,25

$     

2.91

0,25

$     

03.07.10

45,46

31,94

24,41

20,96

15,39

18,61

32,2

57,23

80,24

94,03

101,17

102,71

110,41

121,04

132,32

133,63

127,82

117,78

114,68

113,25

110,28

96,38

15,39

133,63

384,75

$       

3.34

0,75

$     

2.95

6,0 0

$     

04.07.10

64,47

48,51

34,08

26,13

15,99

6,96

10,19

31,12

61,4

81,61

93,36

98,57

107,37

117,1

127,89

135,81

136,26

129,76

121,47

113,19

106,11

94,36

6,96

136,26

174,00

$       

3.40

6,50

$     

3.23

2,5 0

$     

05.07.10

39,06

30,99

27,07

17,05

‐1,86

‐10,16

0,02

31,44

61,51

84,25

94,21

98,64

106,21

118,37

130,1

133,07

131,48

121,81

117,85

110,53

104,18

90,7

‐10,16

133,07

‐254

,00 

$      

3.32

6,75

$     

3.58

0,75

$     

06.07.10

42,4

34,63

29,98

3546

,47

62,63

78,83

93,42

103,61

112,46

118,25

124,17

133,05

142,47

148,5

144,36

136,73

122,96

114,99

114,59

109,68

98,09

29,98

148,5

749,50

$       

3.71

2,50

$     

2.96

3,0 0

$     

07.07.10

74,04

64,04

58,44

58,97

60,93

66,19

75,44

92,17

104,76

113,25

118,69

124,21

131,66

143,86

151,84

148,53

138,44

122,82

116,29

111,58

112,87

108,99

58,44

151,84

1.46

1,00

$    

3.79

6,00

$     

2.33

5,00

$     

08.07.10

79,1

69,71

64,25

67,07

75,87

84,73

91,88

101,75

108,09

113,28

116,62

121,5

128,9

139,52

147,38

144,04

135,76

125,39

121,06

117,02

113,52

108,19

64,25

147,38

1.60

6,25

$    

3.68

4,50

$     

2.07

8,25

$     

09.07.10

75,88

65,13

60,06

60,89

69,4

75,48

84,63

94,37

105,88

111,58

116,59

122,26

130,26

141,58

147,93

144,47

135,09

124,76

120,62

116,98

113,56

107,46

60,06

147,93

1.50

1,50

$    

3.69

8,25

$     

2.19

6,75

$     

10.07.10

87,05

80,34

73,07

70,24

57,68

53,85

57,3

79,23

94,43

104,89

106,94

107,81

110,86

119,61

128,5

129,38

124

114,61

110,74

108,28

111,18

107,82

53,85

129,38

1.34

6,25

$    

3.23

4,50

$     

1.88

8,25

$     

11.07.10

70,04

58,33

46,87

35,57

10,95

‐5,32

‐4,26

22,92

54,35

71,51

82,43

87,1

92,35

100,62

107,96

113,88

114,09

108,8

106,39

102,89

99,44

88,74

‐5,32

114,09

‐133

,00 

$      

2.85

2,25

$     

2.98

5,25

$     

12.07.10

62,33

55,15

52,96

57,44

56,99

57,66

59,67

75,58

90,3

98,1

103,86

110,12

117,49

128,49

136,39

134,98

124,75

111,43

105,37

100,14

99,99

94,93

52,96

136,39

1.32

4,00

$    

3.40

9,75

$     

2.08

5,75

$     

13.07.10

75,13

64,13

58,23

59,34

64,32

68,22

72,75

82,85

94,58

102,11

106,87

110,66

116,27

127,26

137,09

135,24

125,8

113,42

109,45

106,79

105,88

103,05

58,23

137,09

1.45

5,75

$    

3.42

7,25

$     

1.97

1,5 0

$     

14.07.10

83,45

76,13

70,76

71,08

72,1

76,14

80,56

92,16

104,53

113,88

120,97

129,88

141,55

162,39

178,28

176,48

161,26

139,47

132,12

122,75

115,76

107,16

70,76

178,28

1.76

9,00

$    

4.45

7,00

$     

2.68

8,00

$     

15.07.10

80,87

71,58

64,14

66,03

69,96

79,3

91,12

103,85

117,53

128,84

138,8

152,53

174,82

205,04

225,47

221,3

199,05

168,96

150,34

138,38

128,12

116,32

64,14

225,47

1.60

3,50

$    

5.63

6,75

$     

4.03

3,25

$     

16.07.10

95,83

86,51

78,03

75,25

78,27

88,93

100,4

114,28

127,05

138,64

164,62

198,04

246,56

283,01

300,15

281,04

240,69

195,64

164,92

146,63

136,38

125,97

75,25

300,15

1.88

1,25

$    

7.50

3,75

$     

5.62

2,50

$     

17.07.10

88,49

82,1

67,36

52,59

28,2

25,06

43,67

79,62

109,56

125,32

138,5

154,7

189,33

226,36

255,22

252,19

218,01

180,13

151,02

144,52

135,18

121,68

25,06

255,22

626,50

$       

6.38

0,50

$     

5.75

4,0 0

$     

18.07.10

101,87

89,98

78,41

63,68

38,91

24,01

35,38

70,27

99,88

116,98

129,59

142,58

156,39

180,62

213,47

215,65

196,53

162,4 6

150,15

142,43

130,92

118,22

24,01

215,65

600,25

$       

5.39

1,25

$     

4.79

1,00

$     

19.07.10

79,58

67,12

57,58

65,57

75,95

91,54

99,08

110,22

121,27

134,7

144,58

154,33

187,57

231,65

265,94

243,02

200,57

160,24

150,26

145,25

134

119,28

57,58

265,94

1.43

9,50

$    

6.64

8,50

$     

5.20

9,0 0

$     

20.07.10

95,93

87,38

82,84

84,63

88,06

95,52

102,16

112,1 6

122,17

132,62

140,56

146,83

158,08

177,9

195,99

189,95

172,38

151,73

146,82

140,98

131,69

119,37

82,84

195,99

2.07

1,00

$    

4.89

9,75

$     

2.82

8,75

$     

21.07.10

78,24

71,83

66,77

69,29

78,48

89,08

96,27

102,93

109,36

118,61

130,28

141,89

154,52

169,6

179,53

173,71

159,86

146,29

141,65

136,89

125,7

113,74

66,77

179,53

1.66

9,25

$    

4.48

8,25

$     

2.81

9,0 0

$     

22.07.10

87,93

81,46

77,99

80,14

81,92

82,93

85,01

94,45

104,61

111,96

120,08

129,17

142,24

154,34

160,77

157,69

147,86

137,6

128,76

118,38

110,57

103,39

77,99

160,77

1.94

9,75

$    

4.01

9,25

$     

2.06

9,50

$     

23.07.10

89,8

84,85

81,86

84,12

86,54

91,49

97,07

104,5 4

112,39

121,74

130

140,72

151,25

164

171,01

165,56

155,83

142,25

136,67

128,28

120,49

110,69

81,86

171,01

2.04

6,50

$    

4.27

5,25

$     

2.22

8,75

$     

24.07.10

94,7

87,6

80,42

78,21

68,64

66,52

70,69

87,95

102,61

111,59

118,81

127,71

138,73

153,34

164,2

164,79

156,91

145,39

140,82

132,07

122,6

112,25

66,52

164,79

1.66

3,00

$    

4.11

9,75

$     

2.45

6,75

$     

25.07.10

90,33

77,16

66,19

53,24

44,68

37,93

44,74

66,2

91,14

108,45

117,18

124,65

135,18

144,97

153,5

156,43

153,68

146,54

141,43

134,77

123,04

108,61

37,93

156,43

948,25

$       

3.91

0,75

$     

2.96

2,50

$     

26.07.10

86,76

74,61

66,22

69,74

81,72

93,14

98,34

107,09

117,01

128,11

138,06

146,67

152,96

162,09

170,67

167,85

159,19

146,63

144,53

137,02

126,31

111,87

66,22

170,67

1.65

5,50

$    

4.26

6,75

$     

2.61

1,25

$     

27.07.10

95,74

84,61

80,49

79,98

86,44

92,18

97,61

103,9 4

109,7

115,7

123,26

132,4

142,26

150,92

156,13

153,99

147,77

139,31

135,16

126,49

118,34

107,76

79,98

156,13

1.99

9,50

$    

3.90

3,25

$     

1.90

3,75

$     

28.07.10

88,79

81,18

76,78

79,89

87,84

94,44

99,45

104,13

109,55

112,48

117,64

123,66

131,34

138,09

142,19

138,82

132,54

125,2

124,34

119,99

113,69

103,12

76,78

142,19

1.91

9,50

$    

3.55

4,75

$     

1.63

5,25

$     

29.07.10

89,8

82,96

80,53

82,76

86,53

91,12

96,15

101,7 6

107,78

112,61

121,1

131,52

143,75

152,24

156,78

154,04

149,31

142,33

141,13

132,68

125,13

112,3

80,53

156,78

2.01

3,25

$    

3.91

9,50

$     

1.90

6,25

$     

30.07.10

82,79

75,08

69,25

70,93

77,55

85,88

91,08

97,85

105,43

111,25

116,03

123,46

133,81

142,07

145,75

139,74

130,91

120,01

114,97

110,92

109,08

104,25

69,25

145,75

1.73

1,25

$    

3.64

3,75

$     

1.91

2,5 0

$     

31.07.10

97,5

90,7

86,26

84,85

83,16

84,27

89,03

99,55

112,17

123,99

135,99

146,18

155,92

161,99

165,32

163,85

158,23

149,77

144,1

142,48

132,03

119,0 6

83,16

165,32

2.07

9,00

$    

4.13

3,00

$     

2.05

4,00

$     

90.006

,75

$     

01.07.10

79,16

79,73

61,41

14,1

‐2,62

14,01

16,16

11,38

9,82

59,25

89,26

77,56

80,64

86,55

102,94

98,65

91,03

84,83

81,15

84,75

88,13

89,85

‐2,62

102,94

‐65,50

 $        

2.57

3,50

$     

2.63

9,00

$     

02.07.10

94,83

94,99

91,48

50,57

26,29

27,38

49,21

68,81

70,39

8899

,19

99,63

104,97

110,67

120,8

116,97

104,26

88,7

80,26

79,4

79,91

119,11

26,29

120,8

657,25

$       

3.02

0,00

$     

2.36

2,75

$     

03.07.10

102,23

103,81

88,19

90,3

97,76

99,99

87,28

60,9

34,57

32,43

44,45

67,02

72,13

80,49

86,11

91,09

92,69

90,24

87,13

86,9

106,58

97,82

32,43

106,58

810,75

$       

2.66

4,50

$     

1.85

3,75

$     

04.07.10

72,17

87,13

74,57

74,51

86,3

124,06

70,09

37,53

‐33,02

‐25,98

‐18,39

17,8

50,93

57,12

66,41

67,51

59,15

48,25

6,48

10,75

17,36

238,43

‐33,02

238,43

‐825

,50 

$      

5.96

0,75

$     

6.78

6,25

$     

05.07.10

110,46

57,88

52,36

5,92

‐13,39

29,05

57,43

63,78

55,77

78,14

88,34

97,52

100,8

114,25

253,73

267,34

270,93

126,3

452,13

449,34

439,57

59,73

‐13,39

452,13

‐334

,75 

$      

11.303

,25

$   

11.638

,00

$   

06.07.10

84,38

90,74

42,19

‐5,26

‐65,23

‐35,74

3,17

48,46

58,4

66,08

77,06

78,46

79,48

79,72

81,12

80,97

80,08

76,46

77,15

78,49

76,81

73,88

‐65,23

90,74

‐1.630

,75 

$   

2.26

8,50

$     

3.89

9,25

$     

07.07.10

108,1 6

74,56

71,26

72,34

57,79

56,78

59,66

77,45

82,03

83,19

81,73

82,73

82,89

83,52

86,02

87,12

87,92

85,26

83,62

80,4

80,61

82,39

56,78

108,16

1.41

9,50

$    

2.70

4,00

$     

1.28

4,50

$     

08.07.10

77,36

79,67

57,59

43,82

45,32

61,2

64,69

62,98

70,95

81,2

85,22

83,04

84,01

93,03

105,97

110,34

105,13

99,21

92,96

93,98

88,95

78,25

43,82

110,34

1.09

5,50

$    

2.75

8,50

$     

1.66

3,0 0

$     

09.07.10

65,68

43,92

5,09

‐22,15

‐8,86

23,57

46,39

51,11

65,23

81,33

90,92

97,66

109,77

123,44

147,46

145,94

138,7

111,31

95,79

87,73

87,06

90,21

‐22,15

147,46

‐553

,75 

$      

3.68

6,50

$     

4.24

0,25

$     

10.07.10

73,06

80,43

84,58

74,62

74,78

76,76

74,66

68,76

72,29

96,05

104,65

113,43

112,51

117,89

136,75

140,37

133,4

118,32

114,56

119,54

111,72

103,37

68,76

140,37

1.71

9,00

$    

3.50

9,25

$     

1.79

0,25

$     

11.07.10

65,11

70,74

87,68

81,56

81,8

75,39

19,86

‐32,15

‐43,05

17,91

74,29

91,14

86,17

80,33

81,57

84,38

84,9

83,36

82,24

82,59

88,01

91,13

‐43,05

91,14

‐1.076

,25 

$   

2.27

8,50

$     

3.35

4,75

$     

12.07.10

42,64

41,44

39,79

‐8,36

‐15,37

2,42

44,64

64,43

74,87

8892

,49

92,83

99,48

110,05

117,68

113,81

102

91,47

85,97

84,61

90,56

92,6

‐15,37

117,68

‐384

,25 

$      

2.94

2,00

$     

3.32

6,25

$     

13.07.10

63,74

15,06

‐29,38

‐50,73

‐30,66

19,92

45,87

76,53

85,03

92,1

106,66

126,22

137,21

260,13

479,19

483,73

368,38

134,79

122,79

109,94

106,21

107,73

‐50,73

483,73

‐1.268

,25 

$   

12.093

,25

$   

13.361

,50

$   

14.07.10

85,69

83,4

64,31

56,61

56,22

80,01

92,96

103,89

114,6

128,98

136,45

143,08

135,58

305,6

341,19

378,52

216,46

185,16

158,04

154,57

148,66

135,94

56,22

378,52

1.40

5,50

$    

9.46

3,00

$     

8.05

7,5 0

$     

15.07.10

96,81

85,39

84,06

57,35

53,89

54,73

93,3

112,87

129,58

139,04

501,34

1190

,84

1141

,09

1077

,99

509,3

555,89

400,21

281,43

277,66

129,59

131,13

126,89

53,89

1190

,84

1.34

7,25

$    

29.771

,00

$   

28.423

,75

$   

16.07.10

71,06

29,37

‐11,27

‐6,91

29,79

68,14

77,17

90,86

107,33

216,41

229,6

230,92

155,08

161,42

183,29

166,73

154,96

127,21

121,23

115,09

106,37

95,42

‐11,27

230,92

‐281

,75 

$      

5.77

3,00

$     

6.05

4,75

$     

17.07.10

95,71

61,36

19,98

6,71

2,05

6,87

6,53

45,72

87,67

117,18

138,27

167,97

250,59

894,76

910,95

831,31

178,71

137,84

133,85

126,93

115,15

98,68

2,05

910,95

51,25

$         

22.773

,75

$   

22.722

,50

$   

18.07.10

94,78

65,07

16,14

13,38

39,46

75,34

68,39

62,44

74,72

86,27

94,58

105,14

119,52

132,12

138,25

139,58

135,87

129,17

124,08

119,44

112,6

103,96

13,38

139,58

334,50

$       

3.48

9,50

$     

3.15

5,00

$     

19.07.10

72,57

82,21

84,17

89,57

81,28

81,8

86,05

104,89

117,24

130,09

136,66

139,51

140,07

142,12

144,4

143,37

138,74

126,88

118,3

108,69

102,49

90,23

72,57

144,4

1.81

4,25

$    

3.61

0,00

$     

1.79

5,75

$     

20.07.10

72,33

68,74

61,64

65,49

67,21

67,22

67,61

74,18

88,07

101,38

112,9

120,86

124,41

125,23

127,61

126,42

122,7

112,26

101,8

91,98

90,95

85,28

61,64

127,61

1.54

1,00

$    

3.19

0,25

$     

1.64

9,25

$     

21.07.10

84,73

86,98

84,66

84,71

91,72

97,24

96,96

94,86

94,57

98,88

102,55

102,32

99,49

102,39

106,55

109,41

108,54

103,06

98,77

91,29

85,05

75,02

75,02

109,41

1.87

5,50

$    

2.73

5,25

$     

859,75

$        

22.07.10

97,33

92,96

90,89

92,17

93,58

92,82

93,99

91,23

90,68

88,21

92,65

95,2

96,23

95,8

101,22

113,66

125,16

122,08

106,12

92,75

92,38

95,34

88,21

125,16

2.20

5,25

$    

3.12

9,00

$     

923,75

$        

23.07.10

104

98,31

98,42

96,07

98,32

101,33

106,94

108,38

109,95

132,91

146,2

151,68

150,49

144,31

148

142,57

149,62

194,4

190,48

190,22

138,84

131,11

96,07

194,4

2.40

1,75

$    

4.86

0,00

$     

2.45

8,25

$     

24.07.10

111,32

96,83

84,65

83,44

85,04

87,97

89,3

91,43

99,49

111,2

128,32

144

156,27

153,06

174,75

168,45

171,85

144,07

139,82

129,12

116,93

105,84

83,44

174,75

2.08

6,00

$    

4.36

8,75

$     

2.28

2,75

$     

25.07.10

88,79

84,54

81,24

72,06

69,34

71,01

72,95

78,91

78,53

90,34

92,97

106,87

121,26

139,12

152,59

144,7

137,63

116,64

125,39

121,7

120,36

104,88

69,34

152,59

1.73

3,50

$    

3.81

4,75

$     

2.08

1,25

$     

26.07.10

93,02

92,3

89,43

82,62

80,25

87,43

93,65

98,8

96,36

109,25

116,44

125,83

128,52

139,93

140,92

137,99

128,43

117,75

109,95

102,19

103,65

100,18

80,25

140,92

2.00

6,25

$    

3.52

3,00

$     

1.51

6,75

$     

27.07.10

88,94

85,86

70,25

47,02

34,23

41,65

67,04

80,42

87,45

90,19

95,94

103,99

109,45

114,86

118,36

116,46

107,95

96,32

89,6

86,5

88,86

86,32

34,23

118,36

855,75

$       

2.95

9,00

$     

2.10

3,25

$     

28.07.10

81,71

65,24

63,77

67,51

74,41

74,97

78,27

88,92

91,99

97,16

99,85

103,76

99,73

98,33

100,34

101,78

223,23

221,11

221,27

100,43

99,71

99,95

63,77

223,23

1.59

4,25

$    

5.58

0,75

$     

3.98

6,50

$     

29.07.10

92,89

59,32

35,42

41,54

50,18

71,55

74,35

96,22

100,42

110,02

122,71

133,26

138,48

142,16

261,93

480,51

462,72

314,93

259,22

270,7

291,27

85,4

35,42

480,51

885,50

$       

12.012

,75

$   

11.127

,25

$   

30.07.10

81,04

55,73

56,95

63,53

70,5

76,18

213,98

624,9 4

668,42

621,99

537,81

729,73

1273

,58

1032

,96

822,84

199,47

150,93

129,35

126,93

111,76

277,13

276,42

55,73

1273

,58

1.39

3,25

$    

31.839

,50

$   

30.446

,25

$   

31.07.10

90,64

95,98

76,91

70,98

46,52

18,79

20,44

55,39

106,18

302,14

321,1

331,29

153,69

136,63

126,16

117,76

110,38

102,5

97,98

94,69

94,49

81,88

18,79

331,29

469,75

$       

8.28

2,25

$     

7.81

2,50

$     

195.65

6,25

$   

Exhibit 5

Page 82: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 6.1Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Annual

CT

Revenues 190.810 157.178 114.222 95.875 155.947 151.251 209.778 183.364 135.530 97.049 111.432 185.224 1.787.658

COGS 113.866 85.916 64.567 65.079 84.288 78.485 86.216 78.633 73.912 62.815 77.112 118.284 989.173

GM 76.944 71.261 49.655 30.796 71.659 72.766 123.562 104.731 61.618 34.234 34.320 66.940 798.485

NEMass

Revenues 185.389 151.535 109.937 109.079 143.982 144.898 196.915 178.895 134.888 93.950 107.723 177.819 1.735.009

COGS 113.607 83.779 62.635 66.577 82.773 77.317 85.204 77.613 73.946 63.274 77.943 117.313 981.980

GM 71.782 67.756 47.302 42.502 61.208 67.582 111.711 101.282 60.942 30.676 29.780 60.506 753.029

NH

Revenues 184.116 145.880 107.735 87.341 141.808 144.244 196.762 176.045 134.866 94.426 106.727 175.804 1.695.754

COGS 112.416 83.437 61.637 66.090 80.427 77.202 84.984 77.240 73.972 63.335 77.115 115.828 973.681

GM 71.700 62.443 46.098 21.251 61.381 67.042 111.779 98.805 60.894 31.091 29.612 59.977 722.073

ME

Revenues 176.443 139.328 103.570 83.758 134.929 135.537 186.750 174.364 132.853 91.022 103.435 170.726 1.632.717

COGS 115.381 90.542 62.299 64.179 78.128 76.102 82.911 75.377 73.538 62.128 75.908 113.059 969.550

GM 61.063 48.786 41.271 19.579 56.802 59.435 103.840 98.987 59.316 28.894 27.527 57.667 663.167

Internal

Revenues 186.971 151.781 110.660 92.611 144.889 141.875 197.933 174.886 135.209 94.280 108.366 179.246 1.718.706

COGS 112.958 84.581 63.251 67.257 83.489 78.216 87.883 80.148 74.160 63.428 78.260 118.156 991.786

GM 74.013 67.200 47.409 25.354 61.400 63.659 110.050 94.738 61.050 30.852 30.105 61.090 726.920

Pacific G&E

Revenues 152.556 96.463 118.672 116.321 90.710 148.450 112.372 110.332 134.923 193.246 170.928 118.069 1.563.043

COGS 84.549 63.489 60.689 44.860 44.572 49.223 48.870 43.529 43.547 58.801 60.845 55.791 658.765

GM 68.007 32.974 57.984 71.460 46.139 99.227 63.502 66.803 91.377 134.444 110.084 62.278 904.278

SoCal

Revenues 195.721 142.467 145.030 127.039 88.030 138.835 158.965 158.475 158.325 200.390 171.997 127.110 1.812.384

COGS 76.664 61.884 58.475 41.786 30.429 46.692 47.002 41.269 40.680 53.633 53.136 53.669 605.318

GM 119.057 80.584 86.555 85.252 57.601 92.144 111.963 117.206 117.645 146.758 118.861 73.441 1.207.066

San Diego

Revenues 155.351 101.270 136.771 122.107 93.946 140.900 157.136 155.611 149.829 196.350 218.550 258.003 1.885.824

COGS 75.554 61.091 59.189 41.867 31.156 45.514 47.100 41.003 40.259 53.337 52.573 53.477 602.118

GM 79.797 40.180 77.582 80.240 62.791 95.386 110.036 114.608 109.571 143.014 165.977 204.526 1.283.706

NP-15

Revenues 147.243 93.826 114.844 113.045 86.007 137.743 105.842 106.271 128.930 187.615 164.487 113.978 1.499.830

COGS 83.767 62.314 59.067 43.940 44.942 47.353 47.255 42.510 42.782 57.667 59.802 54.735 646.132

GM 63.476 31.512 55.777 69.105 41.065 90.390 58.587 63.761 86.148 129.949 104.685 59.244 853.698

SP-15

Revenues 183.083 131.992 137.904 123.393 85.624 136.116 153.438 152.264 148.116 197.074 169.593 134.387 1.752.984

COGS 75.146 60.614 57.645 41.087 29.648 45.728 46.141 40.540 40.013 52.710 52.178 52.780 594.228

GM 107.938 71.377 80.259 82.306 55.977 90.388 107.297 111.724 108.103 144.364 117.415 81.607 1.158.756

Palo Verde

Revenues 139.813 98.826 111.661 96.080 95.538 133.531 150.910 148.857 137.633 176.014 139.129 91.599 1.519.592

COGS 72.541 58.937 57.299 50.394 32.574 45.947 45.568 40.404 44.904 52.623 50.895 48.607 600.689

GM 67.272 39.890 54.362 45.686 62.965 87.585 105.343 108.453 92.729 123.391 88.234 42.993 918.903

Cinergy

Revenues 115.495 99.101 86.984 44.005 102.569 120.567 162.862 136.677 98.529 76.675 97.767 115.116 1.256.346

COGS 56.998 58.285 50.035 19.830 42.474 43.560 44.756 40.154 28.864 41.661 46.691 58.087 531.394

GM 58.497 40.816 36.949 24.174 60.095 77.007 118.106 96.523 69.665 35.014 51.076 57.029 724.952

First Energy

Revenues 141.126 102.076 86.952 43.924 96.361 120.383 172.224 142.174 99.803 77.348 95.650 113.313 1.291.335

COGS 60.622 59.550 52.541 19.565 43.646 45.963 45.506 42.031 28.032 46.955 50.116 54.310 548.836

GM 80.504 42.526 34.411 24.360 52.716 74.421 126.718 100.143 71.770 30.393 45.534 59.003 742.499

Illinois

Revenues 109.648 94.391 76.201 43.167 100.108 137.622 168.275 132.487 82.292 66.920 74.229 95.595 1.180.935

COGS 47.649 48.704 39.086 15.007 37.931 29.833 41.348 37.549 13.704 35.823 35.982 31.010 413.625

GM 61.999 45.687 37.116 28.160 62.177 107.789 126.927 94.938 68.588 31.097 38.248 64.585 767.310

Michigan

Revenues 105.702 100.943 86.743 42.797 101.793 125.785 156.994 143.787 100.360 84.997 103.418 119.809 1.273.127

COGS 56.779 60.730 54.403 19.559 53.409 51.025 47.315 42.912 29.034 59.346 54.846 60.114 589.470

GM 48.923 40.213 32.340 23.238 48.385 74.760 109.680 100.875 71.327 25.651 48.572 59.694 683.657

Minnesota

Revenues 112.896 111.714 78.918 44.700 88.219 97.328 131.789 138.539 79.756 84.932 105.432 115.484 1.189.706

COGS 42.041 48.133 31.524 11.055 39.778 18.451 27.670 29.096 3.231 21.115 21.013 31.405 324.510

GM 70.855 63.582 47.394 33.645 48.441 78.878 104.119 109.443 76.525 63.817 84.420 84.078 865.196

Wisconsin

Revenues 113.747 100.457 86.248 42.863 103.997 98.995 154.048 131.056 74.949 79.823 106.974 139.392 1.232.549

COGS 44.117 50.667 40.475 14.021 32.237 19.612 35.176 34.699 5.783 28.470 26.076 32.756 364.087

GM 69.630 49.790 45.773 28.843 71.760 79.383 118.872 96.356 69.167 51.354 80.898 106.636 868.462

Capital

Revenues 217.458 134.735 115.308 53.957 97.282 121.530 185.631 159.269 123.016 99.445 109.027 194.025 1.501.656

COGS 99.151 84.581 59.671 29.392 52.622 76.533 94.727 79.249 66.503 30.961 66.533 125.011 798.400

GM 118.307 50.154 55.637 24.565 44.661 44.997 90.903 80.021 56.513 68.484 42.494 69.014 703.256

Hudson

Revenues 208.625 141.787 118.885 54.714 93.826 208.082 214.441 186.903 161.203 109.983 154.458 200.590 1.699.038

COGS 94.765 80.002 60.656 30.423 51.947 78.210 97.050 80.865 67.908 24.388 107.125 122.321 788.533

GM 113.860 61.785 58.229 24.291 41.880 129.871 117.391 106.038 93.295 85.594 47.333 78.269 910.505

Long Isl

Revenues 339.084 192.265 149.096 64.220 147.427 265.180 302.119 253.113 177.888 138.734 210.630 287.806 2.316.932

COGS 111.670 85.842 64.051 37.307 52.663 79.488 100.659 83.920 68.116 29.039 126.878 133.903 846.656

GM 227.414 106.424 85.045 26.913 94.764 185.692 201.460 169.194 109.771 109.695 83.752 153.904 1.470.276

NY

Revenues 216.338 159.069 125.857 61.698 152.435 245.126 256.078 174.280 179.889 117.065 173.716 223.039 1.910.875

COGS 95.153 80.552 60.890 30.498 52.033 79.942 101.852 82.808 67.966 32.184 117.753 122.448 806.325

GM 121.186 78.516 64.967 31.200 100.402 165.184 154.227 91.472 111.924 84.882 55.963 100.591 1.104.550

North

Revenues 150.569 78.478 79.596 41.554 69.414 106.279 159.234 142.367 111.098 89.908 108.166 161.323 1.189.821

COGS 74.692 55.196 53.400 28.041 44.829 76.701 91.887 78.084 65.670 28.881 75.569 93.803 691.182

GM 75.877 23.282 26.196 13.513 24.585 29.578 67.348 64.284 45.429 61.028 32.597 67.520 498.639

West

Revenues 132.454 83.465 78.147 43.905 82.472 102.348 161.595 141.485 103.315 87.997 104.921 136.946 1.154.131

COGS 64.692 58.782 50.412 27.731 45.086 70.072 86.982 72.898 60.282 22.151 76.966 87.625 646.711

GM 67.763 24.683 27.736 16.174 37.386 32.277 74.613 68.587 43.034 65.846 27.955 49.321 507.420

Western

Revenues 155.506 126.482 109.796 110.146 105.048 156.343 224.553 182.225 149.640 109.198 115.127 161.583 1.705.648

COGS 94.989 72.582 63.500 58.111 45.108 59.176 68.610 66.987 57.063 59.657 68.452 86.897 801.131

GM 60.517 53.901 46.296 52.035 59.940 97.167 155.944 115.238 92.578 49.541 46.674 74.686 904.517

Baltimore

Revenues 193.578 150.011 123.543 125.969 129.202 196.273 298.474 240.222 233.106 133.734 138.776 194.361 2.157.249

COGS 99.897 78.002 66.239 60.489 47.561 63.775 73.534 70.508 59.560 62.815 70.036 93.963 846.377

GM 93.681 72.009 57.305 65.480 81.642 132.498 224.939 169.714 173.546 70.919 68.740 100.398 1.310.872

Commonwealth

Revenues 120.736 105.893 89.556 80.827 74.694 126.838 164.198 147.609 81.394 79.292 83.166 90.989 1.245.192

COGS 58.856 56.287 40.549 19.294 30.640 42.679 50.529 48.455 17.493 34.049 20.150 39.237 458.217

GM 61.880 49.606 49.007 61.533 44.054 84.159 113.669 99.154 63.901 45.244 63.016 51.753 786.976

Dominion

Revenues 186.036 145.140 112.569 132.475 121.308 211.533 256.466 208.635 201.495 129.661 118.577 185.029 2.008.925

COGS 98.537 78.026 66.156 60.545 47.968 63.225 73.267 69.006 58.838 64.111 68.176 93.404 841.256

GM 87.500 67.114 46.413 71.931 73.340 148.308 183.200 139.629 142.657 65.550 50.401 91.625 1.167.669

NJ

Revenues 178.982 137.968 125.780 118.910 121.236 170.968 291.455 198.373 155.502 113.772 127.433 194.058 1.934.437

COGS 103.341 76.449 66.163 60.252 47.362 65.703 74.660 70.350 60.702 60.182 68.195 94.697 848.056

GM 75.641 61.519 59.617 58.658 73.874 105.265 216.795 128.023 94.801 53.590 59.237 99.361 1.086.382

Pepco

Revenues 0 0 0 0 31.676 196.348 286.852 220.709 221.013 131.602 141.681 196.730 1.426.611

COGS 0 0 0 0 12.598 63.268 73.159 69.866 58.977 62.021 68.110 94.771 502.768

GM 0 0 0 0 19.079 133.081 213.693 150.843 162.036 69.581 73.572 101.959 923.843

Page 83: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 6.2

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Annual

CT

Revenues 205.208 165.256 127.843 105.982 187.018 178.343 232.415 204.279 169.809 106.118 126.393 196.491 2.005.155

COGS 101.277 81.042 57.230 61.253 76.139 73.456 83.918 77.702 71.384 60.850 74.555 108.415 927.217

GM 103.931 84.214 70.614 44.730 110.879 104.887 148.498 126.578 98.425 45.268 51.838 88.076 1.077.938

NEMass

Revenues 198.176 157.588 122.015 119.508 174.394 171.175 222.025 197.757 169.583 102.509 123.003 189.053 1.946.787

COGS 99.800 79.017 56.098 59.740 74.680 72.603 82.780 76.564 71.206 61.287 74.713 106.808 915.294

GM 98.376 78.571 65.917 59.768 99.714 98.571 139.245 121.194 98.378 41.222 48.291 82.245 1.031.493

NH

Revenues 196.646 152.637 120.354 94.800 170.955 169.569 221.452 196.950 165.267 103.240 122.085 187.042 1.900.998

COGS 98.646 78.191 55.360 58.539 74.294 72.294 82.616 76.169 71.272 61.340 74.005 105.530 908.253

GM 98.000 74.447 64.994 36.261 96.661 97.275 138.836 120.781 93.996 41.900 48.080 81.513 992.745

ME

Revenues 195.694 157.383 129.563 89.250 159.351 164.376 210.757 190.457 161.140 100.149 118.743 181.598 1.858.460

COGS 97.138 75.548 55.352 56.099 71.639 70.629 80.279 74.116 70.116 60.263 72.602 102.893 886.671

GM 98.556 81.835 74.211 33.151 87.713 93.747 130.478 116.342 91.024 39.886 46.141 78.705 971.789

Internal

Revenues 198.679 157.941 122.861 100.170 177.740 172.836 224.146 198.966 166.538 103.225 123.846 190.659 1.937.607

COGS 100.414 79.756 56.595 60.239 75.574 73.177 84.628 78.075 71.494 61.437 75.072 107.828 924.288

GM 98.265 78.185 66.266 39.932 102.166 99.659 139.518 120.891 95.044 41.788 48.774 82.831 1.013.320

Pacific G&E

Revenues 165.090 114.725 123.760 150.043 179.897 289.345 130.922 129.228 169.803 219.567 210.747 206.510 2.089.636

COGS 76.996 57.467 54.015 39.227 13.711 -6.357 23.877 33.394 33.150 55.974 53.852 35.459 470.764

GM 88.095 57.258 69.745 110.816 166.186 295.702 107.045 95.834 136.653 163.593 156.894 171.051 1.618.872

SoCal

Revenues 248.924 209.884 161.515 159.096 161.781 278.912 241.445 195.159 180.080 235.682 217.077 240.571 2.530.127

COGS 70.527 57.004 52.650 38.341 11.813 -6.181 23.314 31.678 31.319 51.661 48.989 33.653 444.768

GM 178.398 152.880 108.865 120.755 149.969 285.093 218.131 163.481 148.761 184.021 168.088 206.918 2.085.359

San Diego

Revenues 164.736 136.390 147.505 175.734 162.871 282.144 212.370 192.605 171.913 240.842 257.375 420.712 2.565.196

COGS 68.795 56.465 52.774 38.278 11.638 -5.991 23.282 31.606 30.690 51.095 48.647 33.719 440.997

GM 95.941 79.925 94.731 137.457 151.233 288.134 189.088 160.999 141.223 189.747 208.728 386.993 2.124.199

NP-15

Revenues 160.178 110.403 119.996 145.491 175.125 271.530 124.141 123.349 162.636 216.948 203.573 200.723 2.014.094

COGS 76.097 56.542 53.057 38.427 13.180 -6.501 22.881 32.533 32.547 54.956 52.945 34.739 461.402

GM 84.081 53.861 66.939 107.065 161.946 278.031 101.260 90.816 130.089 161.992 150.628 165.985 1.552.692

SP-15

Revenues 226.666 187.924 152.235 154.979 157.390 271.732 223.883 188.877 170.202 234.315 210.614 232.299 2.411.116

COGS 69.020 55.885 51.908 37.849 11.507 -6.025 22.868 31.123 30.796 50.732 48.035 33.268 436.965

GM 157.646 132.039 100.328 117.130 145.884 277.757 201.015 157.754 139.406 183.583 162.579 199.031 1.974.152

Palo Verde

Revenues 151.180 119.484 124.916 141.933 155.673 269.569 224.875 184.559 162.408 223.726 190.123 175.053 2.123.501

COGS 61.493 54.330 46.173 36.342 11.347 -6.165 22.378 30.308 29.758 49.095 41.314 8.232 384.604

GM 89.687 65.154 78.744 105.591 144.326 275.734 202.497 154.251 132.650 174.631 148.810 166.821 1.738.897

Cinergy

Revenues 134.434 116.044 110.336 55.409 128.152 142.492 183.490 169.142 117.529 92.157 110.402 133.761 1.493.348

COGS 52.192 53.509 45.092 17.910 38.213 40.295 43.170 39.608 16.415 37.203 42.431 52.266 478.302

GM 82.242 62.536 65.244 37.499 89.939 102.197 140.321 129.534 101.114 54.954 67.971 81.496 1.015.046

First Energy

Revenues 164.243 118.421 111.108 56.695 127.746 143.887 192.095 174.150 122.644 96.789 110.438 130.828 1.549.045

COGS 54.378 54.651 46.030 17.342 37.846 41.246 41.935 38.600 13.185 39.332 43.095 41.716 469.353

GM 109.866 63.770 65.078 39.353 89.900 102.641 150.160 135.551 109.459 57.457 67.344 89.112 1.079.692

Illinois

Revenues 128.977 112.401 98.290 52.833 134.088 166.116 192.552 165.072 98.579 81.012 89.572 117.677 1.437.168

COGS 43.739 44.296 27.615 10.441 31.190 21.272 39.391 36.940 -1.628 22.782 2.321 -626 277.732

GM 85.238 68.104 70.675 42.392 102.898 144.844 153.161 128.132 100.206 58.230 87.252 118.303 1.159.436

Michigan

Revenues 130.977 119.180 113.760 55.807 147.048 150.078 177.153 178.182 128.943 131.473 126.915 139.878 1.599.396

COGS 48.189 55.016 47.097 16.157 42.382 43.211 45.616 42.161 16.251 37.776 45.078 48.541 487.475

GM 82.789 64.164 66.664 39.650 104.666 106.868 131.537 136.022 112.692 93.697 81.837 91.337 1.111.921

Minnesota

Revenues 130.611 126.746 96.003 53.619 121.389 107.645 152.721 162.863 94.571 99.889 126.171 129.491 1.401.720

COGS 32.440 44.261 20.452 4.027 26.665 4.754 21.195 21.579 -11.237 3.771 10.005 27.019 204.930

GM 98.171 82.485 75.551 49.592 94.724 102.892 131.527 141.284 105.809 96.118 116.166 102.473 1.196.790

Wisconsin

Revenues 122.190 105.225 98.220 53.075 130.118 113.423 172.227 153.583 92.672 87.470 118.076 155.969 1.402.247

COGS 34.699 48.020 34.951 7.302 22.843 827 26.312 24.729 -9.842 14.985 16.267 26.551 247.642

GM 87.492 57.205 63.269 45.774 107.275 112.596 145.914 128.854 102.514 72.485 101.810 129.418 1.154.606

Capital

Revenues 262.251 221.130 150.723 66.328 122.026 151.856 215.668 181.437 150.735 103.275 171.278 258.627 1.884.056

COGS 54.971 57.084 44.164 23.732 45.546 56.810 89.091 64.070 59.243 12.373 98.542 88.222 595.305

GM 207.280 164.046 106.558 42.596 76.481 95.046 126.577 117.367 91.492 90.902 72.736 170.405 1.288.751

Hudson

Revenues 246.899 196.331 154.539 68.234 119.988 282.162 267.244 206.423 197.823 114.949 192.442 262.269 2.116.861

COGS 55.052 56.951 44.784 24.465 44.308 64.621 91.363 71.942 61.267 13.515 106.928 89.430 617.697

GM 191.847 139.380 109.755 43.769 75.680 217.541 175.881 134.481 136.556 101.435 85.514 172.839 1.499.164

Long Isl

Revenues 405.175 239.352 180.378 88.096 192.659 330.536 343.023 310.580 228.132 155.858 256.489 347.591 2.821.378

COGS 70.915 60.807 48.714 26.098 46.515 70.403 95.804 76.920 62.106 14.058 129.147 95.419 667.756

GM 334.260 178.545 131.664 61.998 146.144 260.133 247.220 233.660 166.026 141.801 127.342 252.172 2.153.623

NY

Revenues 258.434 212.422 170.114 74.808 165.267 324.619 313.370 198.576 225.569 125.244 214.492 290.988 2.359.411

COGS 56.228 57.988 46.476 25.522 45.764 72.170 95.088 73.793 61.401 13.474 117.929 91.674 639.576

GM 202.206 154.435 123.639 49.287 119.503 252.449 218.283 124.783 164.167 111.769 96.563 199.314 1.719.836

North

Revenues 195.470 111.795 106.051 56.034 92.144 137.977 189.394 162.725 134.808 96.143 134.797 200.229 1.482.771

COGS 36.555 28.479 31.369 19.951 37.296 49.456 85.165 62.180 57.845 10.761 35.935 69.607 488.662

GM 158.915 83.317 74.682 36.084 54.849 88.521 104.229 100.545 76.964 85.382 98.862 130.622 994.109

West

Revenues 173.282 113.164 103.921 57.694 94.113 133.501 189.406 160.051 117.556 94.043 128.230 173.802 1.410.533

COGS 31.352 40.868 34.835 21.992 38.265 45.585 80.589 59.057 52.781 11.984 75.615 70.275 487.580

GM 141.930 72.296 69.086 35.702 55.848 87.916 108.817 100.994 64.775 82.059 52.615 103.528 922.953

Western

Revenues 178.916 133.155 127.907 124.273 126.478 182.941 254.711 205.445 167.621 121.084 126.019 182.519 1.931.069

COGS 79.227 69.784 61.980 56.780 42.483 58.773 68.017 66.042 55.928 55.819 62.748 77.203 754.784

GM 99.689 63.371 65.927 67.493 83.995 124.169 186.694 139.403 111.693 65.265 63.271 105.315 1.176.285

Baltimore

Revenues 230.557 159.889 141.217 144.567 155.948 246.800 345.154 266.640 257.140 155.095 151.985 224.819 2.479.812

COGS 88.731 75.001 64.521 58.727 44.977 62.980 72.723 69.340 58.590 56.594 65.478 83.786 801.446

GM 141.826 84.889 76.696 85.840 110.971 183.821 272.432 197.300 198.550 98.501 86.507 141.033 1.678.365

Commonwealth

Revenues 135.495 113.448 100.730 91.866 93.020 135.601 183.685 167.403 93.214 86.523 89.227 102.148 1.392.361

COGS 54.003 52.895 28.608 9.252 23.237 39.174 47.301 47.125 11.112 26.131 6.576 28.584 373.996

GM 81.492 60.554 72.122 82.614 69.783 96.427 136.384 120.278 82.103 60.393 82.652 73.564 1.018.364

Dominion

Revenues 236.760 158.328 130.918 159.849 155.834 253.662 313.361 231.685 220.634 151.835 133.364 213.515 2.359.745

COGS 84.223 73.080 61.923 57.502 44.212 62.031 72.012 67.660 57.392 61.029 60.912 83.020 784.994

GM 152.538 85.248 68.996 102.346 111.622 191.631 241.349 164.025 163.242 90.807 72.452 130.495 1.574.751

NJ

Revenues 210.055 146.181 138.108 128.378 144.232 206.063 335.086 221.871 177.108 122.626 144.717 215.404 2.189.830

COGS 85.195 74.587 64.638 58.586 44.426 63.239 73.517 69.143 59.000 55.892 65.118 81.023 794.360

GM 124.859 71.595 73.471 69.793 99.806 142.825 261.569 152.728 118.109 66.734 79.599 134.382 1.395.470

Pepco

Revenues 0 0 0 0 35.133 239.446 332.709 247.423 245.319 154.040 152.712 226.683 1.633.464

COGS 0 0 0 0 12.236 62.339 72.135 68.612 58.054 55.008 64.974 83.533 476.891

GM 0 0 0 0 22.897 177.107 260.574 178.811 187.265 99.032 87.738 143.151 1.156.574

Page 84: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhi

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4,62

%31

,44%

6,18

%-7

,64%

-1,9

3%51

,33%

60,7

3%68

,79%

Long

Isl

1.10

9.67

0$

1.47

0.27

6$

1.30

4.47

5$

1.88

7.64

4$

2.15

3.62

3$

2.03

7.13

1$

32,5

0%-1

1,28

%17

,56%

14,0

9%-5

,41%

7,92

%58

,79%

68,2

7%64

,03%

NY

863.

426

$

1.10

4.55

0$

1.14

0.15

9$

1.60

5.32

6$

1.71

9.83

6$

1.61

5.31

7$

27,9

3%3,

22%

32,0

5%7,

13%

-6,0

8%0,

62%

53,7

9%64

,22%

70,5

8%N

orth

318.

142

$

498.

639

$

476.

351

$

803.

135

$

994.

109

$

934.

269

$

56,7

3%-4

,47%

49,7

3%23

,78%

-6,0

2%16

,33%

39,6

1%50

,16%

50,9

9%W

est

449.

844

$

507.

420

$

465.

001

$

1.13

5.10

5$

922.

953

$

816.

588

$

12,8

0%-8

,36%

3,37

%-1

8,69

%-1

1,52

%-2

8,06

%39

,63%

54,9

8%56

,94%

48,6

3%59

,67%

62,2

7%

2009

2010

2011

2009

2010

2011

09 to

'10

10 to

'11

Ove

rall

09 to

'10

10 to

'11

Ove

rall

2009

2010

2011

Wes

tern

638.

345

$

904.

517

$

958.

517

$

826.

357

$

1.17

6.28

5$

1.17

6.58

8$

41,7

0%5,

97%

50,1

6%42

,35%

0,03

%42

,38%

77,2

5%76

,90%

81,4

7%Ba

ltim

ore

773.

357

$

1.31

0.87

2$

1.29

1.98

4$

1.02

2.66

1$

1.67

8.36

5$

1.59

2.33

6$

69,5

0%-1

,44%

67,0

6%64

,12%

-5,1

3%55

,71%

75,6

2%78

,10%

81,1

4%Co

mm

onw

ealth

613.

056

$

786.

976

$

802.

946

$

813.

030

$

1.01

8.36

4$

1.02

3.92

2$

28,3

7%2,

03%

30,9

7%25

,26%

0,55

%25

,94%

75,4

0%77

,28%

78,4

2%Do

min

ion

713.

027

$

1.16

7.66

9$

1.15

0.48

6$

949.

918

$

1.57

4.75

1$

1.44

0.09

2$

63,7

6%-1

,47%

61,3

5%65

,78%

-8,5

5%51

,60%

75,0

6%74

,15%

79,8

9%N

J68

0.27

1$

1.

086.

382

$

1.

175.

992

$

89

1.46

4$

1.

395.

470

$

1.

451.

925

$

59

,70%

8,25

%72

,87%

56,5

4%4,

05%

62,8

7%76

,31%

77,8

5%81

,00%

Pepc

o92

3.84

3$

1.

036.

823

$

1.

156.

574

$

1.

252.

593

$

12

,23%

12,2

3%8,

30%

8,30

%79

,88%

82,7

7%75

,60%

77,4

5%80

,64%

Gr

oss m

argi

nIn

crea

sePr

ojec

ted

Actu

alPr

ojec

ted

Actu

al

Gros

s mar

gin

Incr

ease

Proj

ecte

dAc

tual

Proj

ecte

dAc

tual

Gros

s mar

gin

Incr

ease

Proj

ecte

dAc

tual

Proj

ecte

dAc

tual

Gros

s mar

gin

Incr

ease

Med

ian

Incr

ease

Proj

ecte

dAc

tual

Proj

ecte

dAc

tual

Gros

s mar

gin

Incr

ease

Aver

age

Incr

ease

Proj

ecte

dAc

tual

Proj

ecte

dAc

tual

Exhibit 7

Page 85: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 8

Revenue input Debt input

Grid to be used - Leverage of equipment 0%

Hours in/out 3

MW pr/hour in 0 Grid Increase Equipment loan

Power losses 0,00% - 0,00% Bank I $0

MW pr/hour out 0 Interest rate 0,00%

Increase in power prices 0% first 0 yrs Payback in years 0

Long term increase 0% Short term financing

Bank II $0

Capex input Interest rate 0%

Payback in years 0

Cost yr 1 yr 2 yr 3

Land $0 100% 0% 0% Total capital needed $0

Building $0 100% 0% 0% Equity ratio 0%

Equipment $0 100% 0% 0% Equity $0

Other $0 100% 0% 0% Debt $0

Total $0

WACC input

Opex input CAPM

Risk free rate 0,00%

Opex cost Market risk premium 0,00%

Salaries $0 pr/yr β for project 0,00

Bonus payments 0% of GM

Nr of traders 0 rE 0,00%

Traider accuracy 0% rD 0,00%

Overhead $0 pr/yr

Maintenance $0 pr/yr WACC (discount rate) 0,00%

Other $0 pr/yr

Working capital $0 for 0 yrs Tax input

Selling expense 0,0% of revenue

Start-up expense $0 Corporate tax 0%

Property Tax 0,00%

Depreciation input

% Factor

Building 0% 0% Traded Projected

Years of depreciation 0,00 IRR of Investment 0,00% 0,00%

Equipment 0,0% 0% NPV of Investment $0 $0

Years of depreciation 0,00

Other 0% 0% IRR of Equity 0,00% 0,00%

Years of depreciation 0,00 NPV of Equity $0 $0

Battery input

Type of batteries used Ford

Recharge of batteries 0%

# of batteries 0

# of containers 0

Increase from 2009

Phasing

Page 86: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 9

Revenue input Debt input

Grid to be used North Leverage of equipment 70%

Hours in/out 3

MW pr/hour in 25 Grid Increase Equipment loan

Power losses 3,00% North 16,33% Bank I $7.000.000

MW pr/hour out 24,25 Interest rate 5,75%

Increase in power prices 15% first 5 yrs Payback in years 8

Long term increase 5% Short term financing

Bank II $500.000

Capex input Interest rate 8%

Payback in years 3

Cost yr 1 yr 2 yr 3

Land $300.000 100% 0% 0% Total capital needed $12.100.000

Building $1.000.000 75% 25% 0% Equity ratio 38%

Equipment $10.000.000 100% 0% 0% Equity $4.600.000

Other $300.000 50% 50% 0% Debt $7.500.000

Total $11.600.000

WACC input

Opex input CAPM

Risk free rate 2,71%

Opex cost Market risk premium 6,19%

Salaries $75.000 pr/yr β for project 2,79

Bonus payments 2% of GM

Nr of traders 2 rE 20,00%

Traider accuracy 95% rD 5,90%

Overhead $30.000 pr/yr

Maintenance $120.000 pr/yr WACC (discount rate) 10,02%

Other $100.000 pr/yr

Working capital $200.000 for 2 yrs Tax input

Selling expense 0,2% of revenue

Start-up expense $300.000 Corporate tax 34%

Property Tax 1,65%

Depreciation input

% Factor

Building 4% 90% Traded Projected

Years of depreciation 22,75 IRR of Investment 4,47% -0,11%

Equipment 12,5% 90% NPV of Investment -$4.017.060 -$6.910.815

Years of depreciation 7,20

Other 25% 90% IRR of Equity 3,21% -2,67%

Years of depreciation 4,10 NPV of Equity -$5.438.057 -$7.165.756

Battery input

Type of batteries used Ford

Recharge of batteries 60%

# of batteries 5.435

# of containers 8

Increase from 2009

Phasing

Page 87: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhi

bit 1

0

NPV

pro

ject

IRR

proj

ect

NPV

equ

ityIR

R eq

uity

NPV

pro

ject

IRR

proj

ect

NPV

equ

ityIR

R eq

uity

CT-$

3.65

3.94

8 5,

00%

-$5.

214.

107

3,92

%-$

3.96

1.31

0 4,

45%

-$5.

342.

668

3,16

%

NEM

ass

-$4.

561.

893

3,65

%-$

5.77

4.16

4 2,

14%

-$4.

911.

106

3,00

%-$

5.92

9.17

7 1,

24%

NH

-$4.

842.

509

3,23

%-$

5.94

7.72

8 1,

59%

-$5.

186.

484

2,58

%-$

6.09

9.50

1 0,

69%

ME

-$5.

123.

409

2,81

%-$

6.12

1.46

7 1,

04%

-$5.

587.

274

1,95

%-$

6.34

7.56

5 -0

,12%

Inte

rnal

-$4.

725.

992

3,41

%-$

5.87

5.66

1 1,

82%

-$4.

949.

847

2,94

%-$

5.95

3.13

9 1,

17%

Aver

age

-$4.

581.

550

3,62

%-$

5.78

6.62

5 2,

10%

-$4.

919.

204

2,99

%-$

5.93

4.41

0 1,

23%

Paci

fic G

&E

$4.3

48.5

8115

,27%

-$41

9.69

6 18

,74%

-$2.

055.

618

7,23

%-$

4.17

3.87

5 6,

96%

SoCa

l$6

.336

.742

17,4

5%$7

21.1

5722

,15%

-$1.

207.

131

8,40

%-$

3.65

6.89

7 8,

61%

San

Dieg

o$1

0.65

2.93

821

,81%

$3.1

53.3

7829

,26%

$577

.330

10,7

7%-$

2.57

9.22

2 12

,01%

NP-

15$3

.555

.005

14,3

6%-$

880.

149

17,3

5%-$

2.87

2.00

6 6,

06%

-$4.

673.

025

5,35

%

SP-1

5$6

.280

.126

17,3

9%$6

88.7

7822

,06%

-$1.

559.

048

7,92

%-$

3.87

1.31

8 7,

93%

Palo

Ver

de$4

.934

.785

15,9

3%-$

80.6

24

19,7

6%-$

3.52

8.88

1 5,

10%

-$5.

076.

149

4,03

%

Aver

age

$6.0

18.0

2917

,04%

$530

.474

21,5

5%-$

1.77

4.22

6 7,

58%

-$4.

005.

081

7,48

%

Cine

rgy

-$2.

925.

111

6,05

%-$

4.76

6.57

3 5,

35%

-$4.

034.

970

4,34

%-$

5.38

8.09

8 3,

01%

Firs

t Ene

rgy

-$2.

143.

507

7,15

%-$

4.28

8.16

9 6,

86%

-$3.

535.

757

5,09

%-$

5.08

0.36

9 4,

02%

Illin

ois

-$2.

168.

704

7,11

%-$

4.30

3.52

2 6,

81%

-$4.

235.

445

4,04

%-$

5.51

1.74

2 2,

61%

Mic

higa

n-$

1.67

3.29

0 7,

79%

-$4.

001.

669

7,75

%-$

3.95

1.09

1 4,

47%

-$5.

336.

366

3,18

%

Min

neso

ta-$

925.

593

8,80

%-$

3.54

6.58

2 9,

17%

-$2.

737.

985

6,25

%-$

4.59

0.77

7 5,

61%

Wisc

onsin

-$2.

478.

872

6,68

%-$

4.49

2.71

6 6,

21%

-$3.

661.

828

4,90

%-$

5.15

7.96

1 3,

76%

Aver

age

-$2.

052.

513

7,26

%-$

4.23

3.20

5 7,

02%

-$3.

692.

846

4,85

%-$

5.17

7.55

2 3,

70%

Capi

tal

-$1.

873.

520

7,52

%-$

4.12

3.66

7 7,

37%

-$5.

058.

612

2,78

%-$

6.02

0.41

1 0,

95%

Huds

on$4

64.0

5810

,61%

-$2.

707.

849

11,7

6%-$

1.31

9.56

8 8,

25%

-$3.

725.

404

8,39

%

Long

Isl

$6.6

82.1

4317

,82%

$918

.692

22,7

4%$2

.507

.743

13,1

7%-$

1.43

4.18

8 15

,59%

NY

$2.7

10.5

2613

,38%

-$1.

372.

855

15,8

5%$7

47.1

1610

,98%

-$2.

477.

387

12,3

3%

Nor

th-$

4.01

7.06

0 4,

47%

-$5.

438.

057

3,21

%-$

6.91

0.81

5 -0

,11%

-$7.

165.

756

-2,6

7%

Wes

t-$

5.28

8.53

2 2,

56%

-$6.

223.

597

0,71

%-$

7.06

3.70

5 -0

,37%

-$7.

256.

665

-2,9

9%

Aver

age

-$22

0.39

7 9,

39%

-$3.

157.

889

10,2

7%-$

2.84

9.64

0 5,

78%

-$4.

679.

969

5,27

%

Wes

tern

-$1.

598.

662

7,90

%-$

3.95

6.19

8 7,

90%

-$1.

250.

775

8,34

%-$

3.68

3.48

9 8,

53%

Balti

mor

e$2

.498

.939

13,1

2%-$

1.49

7.41

3 15

,47%

$2.3

78.3

3313

,02%

-$1.

510.

370

15,3

5%

Com

mon

wea

lth-$

2.82

4.23

1 6,

19%

-$4.

704.

663

5,54

%-$

2.99

8.93

3 5,

88%

-$4.

750.

920

5,09

%

Dom

inio

n$1

.031

.242

11,3

3%-$

2.36

7.27

4 12

,81%

$861

.000

11,1

3%-$

2.40

9.44

4 12

,55%

NJ

$1.1

32.9

2811

,46%

-$2.

306.

608

13,0

0%$1

.136

.470

11,4

8%-$

2.24

5.09

8 13

,06%

Pepc

o-$

731.

081

9,06

%-$

3.42

9.18

3 9,

54%

-$38

3.77

8 9,

51%

-$3.

159.

305

10,1

9%

Aver

age

-$81

.811

9,

84%

-$3.

043.

556

10,7

1%-$

42.9

47

9,89

%-$

2.95

9.77

1 10

,79%

Aver

age

Ove

r All

-$18

3.64

8 9,

43%

-$3.

138.

160

10,3

3%-$

2.65

5.77

3 6,

22%

-$4.

551.

356

5,69

%

Trad

edPr

ojec

ted

Exhibit 10

Page 88: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 11

NPV project IRR project NPV equity IRR equity

CT -$3.961.310 4,45% -$5.342.668 3,16%

NEMass -$4.911.106 3,00% -$5.929.177 1,24%

NH -$5.186.484 2,58% -$6.099.501 0,69%

ME -$5.587.274 1,95% -$6.347.565 -0,12%

Internal -$4.949.847 2,94% -$5.953.139 1,17%

Average -$4.919.204 2,99% -$5.934.410 1,23%

Pacific G&E -$2.055.618 7,23% -$4.173.875 6,96%

SoCal -$1.207.131 8,40% -$3.656.897 8,61%

San Diego $577.330 10,77% -$2.579.222 12,01%

NP-15 -$2.872.006 6,06% -$4.673.025 5,35%

SP-15 -$1.559.048 7,92% -$3.871.318 7,93%

Palo Verde -$3.528.881 5,10% -$5.076.149 4,03%

Average -$1.774.226 7,58% -$4.005.081 7,48%

Cinergy -$4.034.970 4,34% -$5.388.098 3,01%

First Energy -$3.535.757 5,09% -$5.080.369 4,02%

Illinois -$4.235.445 4,04% -$5.511.742 2,61%

Michigan -$3.951.091 4,47% -$5.336.366 3,18%

Minnesota -$2.737.985 6,25% -$4.590.777 5,61%

Wisconsin -$3.661.828 4,90% -$5.157.961 3,76%

Average -$3.692.846 4,85% -$5.177.552 3,70%

Capital -$5.058.612 2,78% -$6.020.411 0,95%

Hudson -$1.319.568 8,25% -$3.725.404 8,39%

Long Isl $2.507.743 13,17% -$1.434.188 15,59%

NY $747.116 10,98% -$2.477.387 12,33%

North -$6.910.815 -0,11% -$7.165.756 -2,67%

West -$7.063.705 -0,37% -$7.256.665 -2,99%

Average -$2.849.640 5,78% -$4.679.969 5,27%

Western -$1.250.775 8,34% -$3.683.489 8,53%

Baltimore $2.378.333 13,02% -$1.510.370 15,35%

Commonwealth -$2.998.933 5,88% -$4.750.920 5,09%

Dominion $861.000 11,13% -$2.409.444 12,55%

NJ $1.136.470 11,48% -$2.245.098 13,06%

Pepco -$383.778 9,51% -$3.159.305 10,19%

Average -$42.947 9,89% -$2.959.771 10,79%

Average Over All -$2.655.773 6,22% -$4.551.356 5,69%

Projected

Page 89: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 12

NPV project IRR project NPV equity IRR equity

CT -$3.653.948 5,00% -$5.214.107 3,92%

NEMass -$4.561.893 3,65% -$5.774.164 2,14%

NH -$4.842.509 3,23% -$5.947.728 1,59%

ME -$5.123.409 2,81% -$6.121.467 1,04%

Internal -$4.725.992 3,41% -$5.875.661 1,82%

Average -$4.581.550 3,62% -$5.786.625 2,10%

Pacific G&E $4.348.581 15,27% -$419.696 18,74%

SoCal $6.336.742 17,45% $721.157 22,15%

San Diego $10.652.938 21,81% $3.153.378 29,26%

NP-15 $3.555.005 14,36% -$880.149 17,35%

SP-15 $6.280.126 17,39% $688.778 22,06%

Palo Verde $4.934.785 15,93% -$80.624 19,76%

Average $6.018.029 17,04% $530.474 21,55%

Cinergy -$2.925.111 6,05% -$4.766.573 5,35%

First Energy -$2.143.507 7,15% -$4.288.169 6,86%

Illinois -$2.168.704 7,11% -$4.303.522 6,81%

Michigan -$1.673.290 7,79% -$4.001.669 7,75%

Minnesota -$925.593 8,80% -$3.546.582 9,17%

Wisconsin -$2.478.872 6,68% -$4.492.716 6,21%

Average -$2.052.513 7,26% -$4.233.205 7,02%

Capital -$1.873.520 7,52% -$4.123.667 7,37%

Hudson $464.058 10,61% -$2.707.849 11,76%

Long Isl $6.682.143 17,82% $918.692 22,74%

NY $2.710.526 13,38% -$1.372.855 15,85%

North -$4.017.060 4,47% -$5.438.057 3,21%

West -$5.288.532 2,56% -$6.223.597 0,71%

Average -$220.397 9,39% -$3.157.889 10,27%

Western -$1.598.662 7,90% -$3.956.198 7,90%

Baltimore $2.498.939 13,12% -$1.497.413 15,47%

Commonwealth -$2.824.231 6,19% -$4.704.663 5,54%

Dominion $1.031.242 11,33% -$2.367.274 12,81%

NJ $1.132.928 11,46% -$2.306.608 13,00%

Pepco -$731.081 9,06% -$3.429.183 9,54%

Average -$81.811 9,84% -$3.043.556 10,71%

Average Over All -$183.648 9,43% -$3.138.160 10,33%

Traded

Page 90: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 13.1

SensIt

Spider Analysis

NPV of Investment

Input Variable Low Output Base Case High Output Low % Base % High % Low Base High Swing

WACC 12,25% 10,21% 8,17% 120% 100% 80% $4.270.995 $6.455.134 $9.112.327 $4.841.332

Increase in power prices 12% 15% 18% 80% 100% 120% $4.535.788 $6.455.134 $8.557.543 $4.021.755

Equipment $12.000.000 $10.000.000 $8.000.000 120% 100% 80% $4.897.667 $6.455.134 $7.987.476 $3.089.808

Trader accuracy 90% 95% 100% 94,7% 100% 105,3% $4.984.179 $6.455.134 $7.913.789 $2.929.610

Corporate tax rate 41% 34% 27% 120% 100% 80% $5.396.527 $6.455.134 $7.513.741 $2.117.214

Salaries $90.000 $75.000 $60.000 120% 100% 80% $6.301.775 $6.455.134 $6.607.540 $305.765

Maintenance $144.000 $120.000 $96.000 120% 100% 80% $6.332.447 $6.455.134 $6.577.292 $244.845

Working capital $240.000 $200.000 $160.000 120% 100% 80% $6.405.258 $6.455.134 $6.504.199 $98.941

Start-up expense $360.000 $300.000 $240.000 120% 100% 80% $6.415.891 $6.455.134 $6.493.990 $78.099

Power losses 4% 3% 2% 120% 100% 80% $6.455.134 $6.455.134 $6.455.134 $0

Corresponding Input Value Input Value as % of Base Output Value

Long Island

$3

$4

$5

$6

$7

$8

$9

$10

75% 85% 95% 105% 115% 125%

NP

V o

f In

ve

stm

en

t

Input Value as % of Base Case

WACC

Increase in power prices

Equipment

Trader accuracy

Corporate tax rate

Salaries

Maintenance

Working capital

Start-up expense

Power losses

MillionsMillions

Page 91: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 13.2

SensIt

Spider Analysis

NPV of Investment

Input Variable Low Output Base Case High Output Low % Base % High % Low Base High Swing

WACC 12,25% 10,21% 8,17% 120% 100% 80% $3.922.064 $6.058.127 $8.656.513 $4.734.449

Increase in power prices 12% 15% 18% 80% 100% 120% $4.180.642 $6.058.127 $8.118.343 $3.937.701

Equipment $12.000.000 $10.000.000 $8.000.000 120% 100% 80% $4.495.919 $6.058.127 $7.594.103 $3.098.184

Trader accuracy 90% 95% 100% 94,7% 100% 105,3% $4.989.302 $6.058.127 $7.121.969 $2.132.667

Corporate tax rate 41% 34% 27% 120% 100% 80% $5.038.186 $6.058.127 $7.078.068 $2.039.882

Salaries $90.000 $75.000 $60.000 120% 100% 80% $5.904.769 $6.058.127 $6.211.485 $306.717

Maintenance $144.000 $120.000 $96.000 120% 100% 80% $5.935.441 $6.058.127 $6.180.814 $245.373

Working capital $240.000 $200.000 $160.000 120% 100% 80% $6.008.251 $6.058.127 $6.108.003 $99.752

Start-up expense $360.000 $300.000 $240.000 120% 100% 80% $6.018.885 $6.058.127 $6.097.370 $78.485

Power losses 4% 3% 2% 120% 100% 80% $6.058.127 $6.058.127 $6.058.127 $0

Input Value as % of Base Output ValueCorresponding Input Value

SP-15

$3

$4

$5

$6

$7

$8

$9

$10

75% 85% 95% 105% 115% 125%

NP

V o

f In

ve

stm

en

t

Input Value as % of Base Case

WACC

Increase in power prices

Equipment

Trader accuracy

Corporate tax rate

Salaries

Maintenance

Working capital

Start-up expense

Power losses

Millions

Page 92: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 13.3

SensIt

Spider Analysis

NPV of Investment

Input Variable Low Output Base Case High Output Low % Base % High % Low Base High Swing

WACC 12,25% 10,21% 8,17% 120% 100% 80% $7.706.314 $10.375.388 $13.625.580 $5.919.265

Increase in power prices 12% 15% 18% 80% 100% 120% $8.054.570 $10.375.388 $12.928.480 $4.873.910

Equipment $12.000.000 $10.000.000 $8.000.000 120% 100% 80% $8.851.681 $10.375.388 $11.887.566 $3.035.885

Corporate tax rate 41% 34% 27% 120,0% 100% 80,0% $8.922.311 $10.375.388 $11.828.466 $2.906.154

Trader accuracy 90% 95% 100% 95% 100% 105% $9.102.218 $10.375.388 $11.647.956 $2.545.737

Salaries $90.000 $75.000 $60.000 120% 100% 80% $10.225.703 $10.375.388 $10.525.074 $299.370

Maintenance $144.000 $120.000 $96.000 120% 100% 80% $10.255.640 $10.375.388 $10.495.137 $239.496

Working capital $240.000 $200.000 $160.000 120% 100% 80% $10.329.648 $10.375.388 $10.421.129 $91.480

Start-up expense $360.000 $300.000 $240.000 120% 100% 80% $10.339.382 $10.375.388 $10.411.395 $72.013

Power losses 4% 3% 2% 120% 100% 80% $10.375.388 $10.375.388 $10.375.388 $0

Corresponding Input Value Input Value as % of Base Output Value

San Diego

$6

$7

$8

$9

$10

$11

$12

$13

$14

$15

75% 85% 95% 105% 115% 125%

NP

V o

f In

ve

stm

en

t

Millions

Input Value as % of Base Case

WACC

Increase in power prices

Equipment

Corporate tax rate

Trader accuracy

Salaries

Maintenance

Working capital

Start-up expense

Power losses

Page 93: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 13.4

SensIt

Spider Analysis

NPV of Investment

Input Variable Low Output Base Case High Output Low % Base % High % Low Base High Swing

WACC 12,25% 10,21% 8,17% 120% 100% 80% $3.971.204 $6.114.038 $8.720.706 $4.749.501

Increase in power prices 12% 15% 18% 80% 100% 120% $4.230.658 $6.114.038 $8.180.196 $3.949.538

Equipment $12.000.000 $10.000.000 $8.000.000 120% 100% 80% $4.552.498 $6.114.038 $7.649.502 $3.097.004

Trader accuracy 90% 95% 100% 94,7% 100% 105,3% $5.028.027 $6.114.038 $7.194.396 $2.166.369

Corporate tax rate 41% 34% 27% 120% 100% 80% $5.088.652 $6.114.038 $7.139.425 $2.050.773

Salaries $90.000 $75.000 $60.000 120% 100% 80% $5.960.680 $6.114.038 $6.267.396 $306.717

Maintenance $144.000 $120.000 $96.000 120% 100% 80% $5.991.351 $6.114.038 $6.236.725 $245.373

Working capital $240.000 $200.000 $160.000 120% 100% 80% $6.064.162 $6.114.038 $6.163.914 $99.752

Start-up expense $360.000 $300.000 $240.000 120% 100% 80% $6.074.796 $6.114.038 $6.153.281 $78.485

Power losses 4% 3% 2% 120% 100% 80% $6.114.038 $6.114.038 $6.114.038 $0

Input Value as % of Base Output ValueCorresponding Input Value

SoCal

$3

$4

$5

$6

$7

$8

$9

$10

75% 85% 95% 105% 115% 125%

NP

V o

f In

ve

stm

en

t

Input Value as % of Base Case

WACC

Increase in power prices

Equipment

Trader accuracy

Corporate tax rate

Salaries

Maintenance

Working capital

Start-up expense

Power losses

Millions

Page 94: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 13.5

SensIt

Spider Analysis

Input Variable Low Output Base Case High Output Low % Base % High % Low Base High Swing

Cost of Equity 24,00% 20,00% 16,00% 120% 100% 80% -$355.999 $918.692 $2.734.378 $3.090.376

Equipment $12.000.000 $10.000.000 $8.000.000 120% 100% 80% -$295.731 $918.692 $2.098.583 $2.394.315

Increase in power prices 12% 15% 18% 80% 100% 120% -$86.688 $918.692 $2.006.438 $2.093.125

Trader accuracy 90% 95% 100% 94,7% 100% 105,3% $66.833 $918.692 $1.753.409 $1.686.576

Corporate tax rate 41% 34% 27% 120% 100% 80% $444.938 $918.692 $1.392.447 $947.509

Salaries $90.000 $75.000 $60.000 120% 100% 80% $819.389 $918.692 $1.016.669 $197.280

Start-up expense $360.000 $300.000 $240.000 120% 100% 80% $826.152 $918.692 $1.010.694 $184.542

Working capital $240.000 $200.000 $160.000 120% 100% 80% $835.780 $918.692 $1.000.476 $164.696

Maintenance $144.000 $120.000 $96.000 120% 100% 80% $839.250 $918.692 $997.398 $158.149

Power losses 4% 3% 2% 120% 100% 80% $918.692 $918.692 $918.692 $0

Corresponding Input Value Input Value as % of Base Output Value

NPV of Investment

Long Island Equity

-$1,0

-$0,5

$0,0

$0,5

$1,0

$1,5

$2,0

$2,5

$3,0

70% 80% 90% 100% 110% 120% 130%

NP

V o

f E

qu

ity

Input Value as % of Base Case

Cost of Equity

Equipment

Increase in power prices

Trader accuracy

Corporate tax rate

Salaries

Start-up expense

Working capital

Maintenance

Power losses

MillionsMillions

Page 95: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 13.6

SensIt

Spider Analysis

Input Variable Low Output Base Case High Output Low % Base % High % Low Base High Swing

Cost of Equity 24,00% 20,00% 16,00% 120% 100% 80% -$548.622 $688.778 $2.453.044 $3.001.665

Equipment $12.000.000 $10.000.000 $8.000.000 120% 100% 80% -$531.716 $688.778 $1.873.734 $2.405.450

Increase in power prices 12% 15% 18% 80% 100% 120% -$294.675 $688.778 $1.757.900 $2.052.576

Trader accuracy 90% 95% 100% 94,7% 100% 105,3% $69.799 $688.778 $1.300.809 $1.231.010

Corporate tax rate 41% 34% 27% 120% 100% 80% $235.400 $688.778 $1.142.156 $906.756

Salaries $90.000 $75.000 $60.000 120% 100% 80% $589.474 $688.778 $788.081 $198.607

Start-up expense $360.000 $300.000 $240.000 120% 100% 80% $596.238 $688.778 $781.318 $185.081

Working capital $240.000 $200.000 $160.000 120% 100% 80% $605.865 $688.778 $771.691 $165.825

Maintenance $144.000 $120.000 $96.000 120% 100% 80% $609.335 $688.778 $768.221 $158.886

Power losses 4% 3% 2% 120% 100% 80% $688.778 $688.778 $688.778 $0

NPV of Investment

Corresponding Input Value Input Value as % of Base Output Value

SP-15 Equity

-$1,0

-$0,5

$0,0

$0,5

$1,0

$1,5

$2,0

$2,5

$3,0

70% 80% 90% 100% 110% 120% 130%

NP

V o

f E

qu

ity

Input Value as % of Base Case

Cost of Equity

Equipment

Increase in power prices

Trader accuracy

Corporate tax rate

Salaries

Start-up expense

Working capital

Maintenance

Power losses

MillionsMillions

Page 96: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 13.7

SensIt

Spider Analysis

Input Variable Low Output Base Case High Output Low % Base % High % Low Base High Swing

Cost of Equity 24,00% 20,00% 16,00% 120% 100% 80% $1.502.892 $3.153.378 $5.487.720 $3.984.828

Increase in power prices 12% 15% 18% 80% 100% 120% $1.952.621 $3.153.378 $4.467.458 $2.514.836

Equipment $12.000.000 $10.000.000 $8.000.000 120% 100% 80% $1.986.447 $3.153.378 $4.302.449 $2.316.002

Trader accuracy 90% 95% 100% 94,7% 100% 105,3% $2.432.708 $3.153.378 $3.873.132 $1.440.424

Corporate tax rate 41% 34% 27% 120% 100% 80% $2.464.177 $3.153.378 $3.842.579 $1.378.402

Salaries $90.000 $75.000 $60.000 120% 100% 80% $3.059.387 $3.153.378 $3.247.369 $187.982

Start-up expense $360.000 $300.000 $240.000 120% 100% 80% $3.065.557 $3.153.378 $3.241.199 $175.643

Working capital $240.000 $200.000 $160.000 120% 100% 80% $3.076.497 $3.153.378 $3.230.259 $153.762

Maintenance $144.000 $120.000 $96.000 120% 100% 80% $3.078.185 $3.153.378 $3.228.571 $150.386

Power losses 4% 3% 2% 120% 100% 80% $3.153.378 $3.153.378 $3.153.378 $0

Corresponding Input Value Input Value as % of Base Output Value

NPV of Investment

San Diego Equity

$1,0

$2,0

$3,0

$4,0

$5,0

$6,0

70% 80% 90% 100% 110% 120% 130%

NP

V o

f E

qu

ity

Input Value as % of Base Case

Cost of Equity

Increase in power prices

Equipment

Trader accuracy

Corporate tax rate

Salaries

Start-up expense

Working capital

Maintenance

Power losses

MillionsMillions

Page 97: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 13.8

SensIt

Spider Analysis

Input Variable Low Output Base Case High Output Low % Base % High % Low Base High Swing

Cost of Equity 24,00% 20,00% 16,00% 120% 100% 80% -$521.494 $721.157 $2.492.664 $3.014.159

Equipment $12.000.000 $10.000.000 $8.000.000 120% 100% 80% -$498.482 $721.157 $1.905.400 $2.403.881

Increase in power prices 12% 15% 18% 80% 100% 120% -$265.384 $721.157 $1.792.902 $2.058.286

Trader accuracy 90% 95% 100% 94,7% 100% 105,3% $92.226 $721.157 $1.342.209 $1.249.982

Corporate tax rate 41% 34% 27% 120% 100% 80% $264.909 $721.157 $1.177.405 $912.496

Salaries $90.000 $75.000 $60.000 120% 100% 80% $621.854 $721.157 $820.461 $198.607

Start-up expense $360.000 $300.000 $240.000 120% 100% 80% $628.617 $721.157 $813.697 $185.081

Working capital $240.000 $200.000 $160.000 120% 100% 80% $638.244 $721.157 $804.070 $165.825

Maintenance $144.000 $120.000 $96.000 120% 100% 80% $641.714 $721.157 $800.600 $158.886

Power losses 4% 3% 2% 120% 100% 80% $721.157 $721.157 $721.157 $0

NPV of Investment

Corresponding Input Value Input Value as % of Base Output Value

SoCal Equity

-$1,0

-$0,5

$0,0

$0,5

$1,0

$1,5

$2,0

$2,5

$3,0

70% 80% 90% 100% 110% 120% 130%

NP

V o

f E

qu

ity

Input Value as % of Base Case

Cost of Equity

Equipment

Increase in power prices

Trader accuracy

Corporate tax rate

Salaries

Start-up expense

Working capital

Maintenance

Power losses

MillionsMillions

Page 98: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 14.1

SensIt 1.45Long IslandTornado Analysis

PercentInput Variable Low Output Base Case High Output Low Base High Swing Swing^2WACC 12,02% 10,02% 8,02% $4.492.557 $6.678.480 $9.330.276 $4.837.719 37,1%Increase in power prices 12% 15% 18% $4.731.864 $6.678.480 $8.811.187 $4.079.323 26,3%Equipment $12.000.000 $10.000.000 $8.000.000 $5.124.660 $6.678.480 $8.207.462 $3.082.803 15,0%Trader accuracy 90% 95% 100% $5.189.258 $6.678.480 $8.155.547 $2.966.289 13,9%Corporate tax rate 41% 34% 27% $5.601.841 $6.678.480 $7.755.119 $2.153.278 7,3%Salaries $90.000 $75.000 $60.000 $6.523.579 $6.678.480 $6.832.439 $308.860 0,2%Maintenance $144.000 $120.000 $96.000 $6.554.559 $6.678.480 $6.801.878 $247.318 0,1%Working capital $240.000 $200.000 $160.000 $6.628.562 $6.678.480 $6.727.597 $99.035 0,0%Start‐up expense $360.000 $300.000 $240.000 $6.639.248 $6.678.480 $6.717.329 $78.081 0,0%Power losses 4% 3% 2% $6.678.480 $6.678.480 $6.678.480 $0 0,0%

Corresponding Input Value Output ValueNPV of Investment

12,02%

12%

$12.000.000 

90%

41%

$90.000 

$144.000 

$240.000 

$360.000 

4%

8,02%

18%

$8.000.000 

100%

27%

$60.000 

$96.000 

$160.000 

$240.000 

2%

$3,5 $4,5 $5,5 $6,5 $7,5 $8,5 $9,5

WACC

Increase in power prices

Equipment

Trader accuracy

Corporate tax rate

Salaries

Maintenance

Working capital

Start‐up expense

Power losses

NPV of Investment

Millions

Long Island

Page 99: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 14.2

SensIt 1.45SP‐15Tornado Analysis

PercentInput Variable Low Output Base Case High Output Low Base High Swing Swing^2WACC 12,02% 10,02% 8,02% $4.138.762 $6.276.543 $8.869.625 $4.730.863 39,2%Increase in power prices 12% 15% 18% $4.372.382 $6.276.543 $8.366.353 $3.993.971 28,0%Equipment $12.000.000 $10.000.000 $8.000.000 $4.718.029 $6.276.543 $7.809.117 $3.091.088 16,8%Trader accuracy 90% 95% 100% $5.194.444 $6.276.543 $7.353.716 $2.159.272 8,2%Corporate tax rate 41% 34% 27% $5.239.107 $6.276.543 $7.313.979 $2.074.873 7,5%Salaries $90.000 $75.000 $60.000 $6.121.642 $6.276.543 $6.431.443 $309.801 0,2%Maintenance $144.000 $120.000 $96.000 $6.152.622 $6.276.543 $6.400.463 $247.841 0,1%Working capital $240.000 $200.000 $160.000 $6.226.625 $6.276.543 $6.326.461 $99.836 0,0%Start‐up expense $360.000 $300.000 $240.000 $6.237.312 $6.276.543 $6.315.774 $78.463 0,0%Power losses 4% 3% 2% $6.276.543 $6.276.543 $6.276.543 $0 0,0%

Corresponding Input Value Output ValueNPV of Investment

12,02%

12%

$12.000.000 

90%

41%

$90.000 

$144.000 

$240.000 

$360.000 

4%

8,02%

18%

$8.000.000 

100%

27%

$60.000 

$96.000 

$160.000 

$240.000 

2%

$3,5 $4,5 $5,5 $6,5 $7,5 $8,5 $9,5

WACC

Increase in power prices

Equipment

Trader accuracy

Corporate tax rate

Salaries

Maintenance

Working capital

Start‐up expense

Power losses

NPV of Investment

Millions

SP‐15

Page 100: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 14.3

SensIt 1.45San DiegoTornado Analysis

PercentInput Variable Low Output Base Case High Output Low Base High Swing Swing^2WACC 12,02% 10,02% 8,02% $7.976.952 $10.648.459 $13.892.296 $5.915.344 41,6%Increase in power prices 12% 15% 18% $8.294.232 $10.648.459 $13.238.536 $4.944.303 29,1%Equipment $12.000.000 $10.000.000 $8.000.000 $9.127.997 $10.648.459 $12.157.549 $3.029.552 10,9%Corporate tax rate 41% 34% 27% $9.172.094 $10.648.459 $12.124.823 $2.952.729 10,4%Trader accuracy 90% 95% 100% $9.358.999 $10.648.459 $11.937.323 $2.578.324 7,9%Salaries $90.000 $75.000 $60.000 $10.497.186 $10.648.459 $10.799.732 $302.546 0,1%Maintenance $144.000 $120.000 $96.000 $10.527.441 $10.648.459 $10.769.477 $242.037 0,1%Working capital $240.000 $200.000 $160.000 $10.602.625 $10.648.459 $10.694.293 $91.669 0,0%Start‐up expense $360.000 $300.000 $240.000 $10.612.423 $10.648.459 $10.684.495 $72.072 0,0%Power losses 4% 3% 2% $10.648.459 $10.648.459 $10.648.459 $0 0,0%

Corresponding Input Value Output ValueNPV of Investment

12,02%

12%

$12.000.000 

41%

90%

$90.000 

$144.000 

$240.000 

$360.000 

4%

8,02%

18%

$8.000.000 

27%

100%

$60.000 

$96.000 

$160.000 

$240.000 

2%

$7 $8 $9 $10 $11 $12 $13 $14

WACC

Increase in power prices

Equipment

Corporate tax rate

Trader accuracy

Salaries

Maintenance

Working capital

Start‐up expense

Power losses

NPV of Investment

Millions

San Diego

Page 101: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 14.4

SensIt 1.45So CalTornado Analysis

PercentInput Variable Low Output Base Case High Output Low Base High Swing Swing^2WACC 12,02% 10,02% 8,02% $4.188.587 $6.333.148 $8.934.499 $4.745.912 39,2%Increase in power prices 12% 15% 18% $4.423.009 $6.333.148 $8.429.000 $4.005.991 27,9%Equipment $12.000.000 $10.000.000 $8.000.000 $4.775.295 $6.333.148 $7.865.217 $3.089.921 16,6%Trader accuracy 90% 95% 100% $5.233.650 $6.333.148 $7.427.059 $2.193.409 8,4%Corporate tax rate 41% 34% 27% $5.290.191 $6.333.148 $7.376.105 $2.085.915 7,6%Salaries $90.000 $75.000 $60.000 $6.178.248 $6.333.148 $6.488.049 $309.801 0,2%Maintenance $144.000 $120.000 $96.000 $6.209.228 $6.333.148 $6.457.069 $247.841 0,1%Working capital $240.000 $200.000 $160.000 $6.283.230 $6.333.148 $6.383.066 $99.836 0,0%Start‐up expense $360.000 $300.000 $240.000 $6.293.917 $6.333.148 $6.372.380 $78.463 0,0%Power losses 4% 3% 2% $6.333.148 $6.333.148 $6.333.148 $0 0,0%

NPV of InvestmentCorresponding Input Value Output Value

12,02%

12%

$12.000.000 

90%

41%

$90.000 

$144.000 

$240.000 

$360.000 

4%

8,02%

18%

$8.000.000 

100%

27%

$60.000 

$96.000 

$160.000 

$240.000 

2%

$3,5 $4,5 $5,5 $6,5 $7,5 $8,5 $9,5

WACC

Increase in power prices

Equipment

Trader accuracy

Corporate tax rate

Salaries

Maintenance

Working capital

Start‐up expense

Power losses

NPV of Investment

Millions

So Cal

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Exhibit 14.5

SensIt 1.45Long Island EquityTornado Analysis

PercentInput Variable Low Output Base Case High Output Low Base High Swing Swing^2Return on Equity 24,00% 20,00% 16,00% ‐$355.999 $918.692 $2.734.378 $3.090.376 40,6%Equipment $12.000.000 $10.000.000 $8.000.000 ‐$295.731 $918.692 $2.098.583 $2.394.315 24,4%Increase in power prices 12% 15% 18% ‐$86.688 $918.692 $2.006.438 $2.093.125 18,6%Trader accuracy 90% 95% 100% $66.833 $918.692 $1.753.409 $1.686.576 12,1%Corporate tax rate 41% 34% 27% $444.938 $918.692 $1.392.447 $947.509 3,8%Salaries $90.000 $75.000 $60.000 $819.389 $918.692 $1.016.669 $197.280 0,2%Start‐up expense $360.000 $300.000 $240.000 $826.152 $918.692 $1.010.694 $184.542 0,1%Working capital $240.000 $200.000 $160.000 $835.780 $918.692 $1.000.476 $164.696 0,1%Maintenance $144.000 $120.000 $96.000 $839.250 $918.692 $997.398 $158.149 0,1%Power losses 4% 3% 2% $918.692 $918.692 $918.692 $0 0,0%

NPV of InvestmentCorresponding Input Value Output Value

24,00%

$12.000.000 

12%

90%

41%

$90.000 

$360.000 

$240.000 

$144.000 

4%

16,00%

$8.000.000 

18%

100%

27%

$60.000 

$240.000 

$160.000 

$96.000 

2%

‐$1,0 ‐$0,5 $0,0 $0,5 $1,0 $1,5 $2,0 $2,5 $3,0

Return on Equity

Equipment

Increase in power prices

Trader accuracy

Corporate tax rate

Salaries

Start‐up expense

Working capital

Maintenance

Power losses

NPV of Investment

Millions

Long Island Equity

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Exhibit 14.6

SensIt 1.45SP‐15 EquityTornado Analysis

PercentInput Variable Low Output Base Case High Output Low Base High Swing Swing^2Return on Equity 24,00% 20,00% 16,00% ‐$548.622 $688.778 $2.453.044 $3.001.665 42,0%Equipment $12.000.000 $10.000.000 $8.000.000 ‐$531.716 $688.778 $1.873.734 $2.405.450 26,9%Increase in power prices 12% 15% 18% ‐$294.675 $688.778 $1.757.900 $2.052.576 19,6%Trader accuracy 90% 95% 100% $69.799 $688.778 $1.300.809 $1.231.010 7,1%Corporate tax rate 41% 34% 27% $235.400 $688.778 $1.142.156 $906.756 3,8%Salaries $90.000 $75.000 $60.000 $589.474 $688.778 $788.081 $198.607 0,2%Start‐up expense $360.000 $300.000 $240.000 $596.238 $688.778 $781.318 $185.081 0,2%Working capital $240.000 $200.000 $160.000 $605.865 $688.778 $771.691 $165.825 0,1%Maintenance $144.000 $120.000 $96.000 $609.335 $688.778 $768.221 $158.886 0,1%Power losses 4% 3% 2% $688.778 $688.778 $688.778 $0 0,0%

NPV of InvestmentCorresponding Input Value Output Value

24,00%

$12.000.000 

12%

90%

41%

$90.000 

$360.000 

$240.000 

$144.000 

4%

16,00%

$8.000.000 

18%

100%

27%

$60.000 

$240.000 

$160.000 

$96.000 

2%

‐$1,0 ‐$0,5 $0,0 $0,5 $1,0 $1,5 $2,0 $2,5 $3,0

Return on Equity

Equipment

Increase in power prices

Trader accuracy

Corporate tax rate

Salaries

Start‐up expense

Working capital

Maintenance

Power losses

NPV of Investment

Millions

SP‐15 Equity

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Exhibit 14.7

SensIt 1.45San Diego EquityTornado Analysis

PercentInput Variable Low Output Base Case High Output Low Base High Swing Swing^2Return on Equity 24,00% 20,00% 16,00% $1.502.892 $3.153.378 $5.487.720 $3.984.828 50,2%Increase in power prices 12% 15% 18% $1.952.621 $3.153.378 $4.467.458 $2.514.836 20,0%Equipment $12.000.000 $10.000.000 $8.000.000 $1.986.447 $3.153.378 $4.302.449 $2.316.002 16,9%Trader accuracy 90% 95% 100% $2.432.708 $3.153.378 $3.873.132 $1.440.424 6,6%Corporate tax rate 41% 34% 27% $2.464.177 $3.153.378 $3.842.579 $1.378.402 6,0%Salaries $90.000 $75.000 $60.000 $3.059.387 $3.153.378 $3.247.369 $187.982 0,1%Start‐up expense $360.000 $300.000 $240.000 $3.065.557 $3.153.378 $3.241.199 $175.643 0,1%Working capital $240.000 $200.000 $160.000 $3.076.497 $3.153.378 $3.230.259 $153.762 0,1%Maintenance $144.000 $120.000 $96.000 $3.078.185 $3.153.378 $3.228.571 $150.386 0,1%Power losses 4% 3% 2% $3.153.378 $3.153.378 $3.153.378 $0 0,0%

Corresponding Input Value Output ValueNPV of Investment

24,00%

12%

$12.000.000 

90%

41%

$90.000 

$360.000 

$240.000 

$144.000 

4%

16,00%

18%

$8.000.000 

100%

27%

$60.000 

$240.000 

$160.000 

$96.000 

2%

$1,0 $1,5 $2,0 $2,5 $3,0 $3,5 $4,0 $4,5 $5,0 $5,5 $6,0

Return on Equity

Increase in power prices

Equipment

Trader accuracy

Corporate tax rate

Salaries

Start‐up expense

Working capital

Maintenance

Power losses

NPV of Investment

Millions

San Diego Equity

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Exhibit 14.8

SensIt 1.45So Cal EquityTornado Analysis

PercentInput Variable Low Output Base Case High Output Low Base High Swing Swing^2WACC 24,00% 20,00% 16,00% ‐$521.494 $721.157 $2.492.664 $3.014.159 42,0%Equipment $12.000.000 $10.000.000 $8.000.000 ‐$498.482 $721.157 $1.905.400 $2.403.881 26,7%Increase in power prices 12% 15% 18% ‐$265.384 $721.157 $1.792.902 $2.058.286 19,6%Trader accuracy 90% 95% 100% $92.226 $721.157 $1.342.209 $1.249.982 7,2%Corporate tax rate 41% 34% 27% $264.909 $721.157 $1.177.405 $912.496 3,9%Salaries $90.000 $75.000 $60.000 $621.854 $721.157 $820.461 $198.607 0,2%Start‐up expense $360.000 $300.000 $240.000 $628.617 $721.157 $813.697 $185.081 0,2%Working capital $240.000 $200.000 $160.000 $638.244 $721.157 $804.070 $165.825 0,1%Maintenance $144.000 $120.000 $96.000 $641.714 $721.157 $800.600 $158.886 0,1%Power losses 4% 3% 2% $721.157 $721.157 $721.157 $0 0,0%

Corresponding Input Value Output ValueNPV of Investment

24,00%

$12.000.000 

12%

90%

41%

$90.000 

$360.000 

$240.000 

$144.000 

4%

16,00%

$8.000.000 

18%

100%

27%

$60.000 

$240.000 

$160.000 

$96.000 

2%

‐$1,0 ‐$0,5 $0,0 $0,5 $1,0 $1,5 $2,0 $2,5 $3,0

WACC

Equipment

Increase in power prices

Trader accuracy

Corporate tax rate

Salaries

Start‐up expense

Working capital

Maintenance

Power losses

NPV of Investment

Millions

So Cal Equity

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Exhibit 15.1

Variation 10%

System used Long IslWACC 10,02%

Increase 15%

Equipment 10.000.000

6.678.480 12,53% 12,02% 11,52% 11,02% 10,52% 10,02% 9,52% 9,02% 8,52% 8,02% 7,52%

18,75% 6.248.369 6.816.366 7.411.477 8.035.305 8.689.560 9.376.071 10.096.791 10.853.813 11.649.373 12.485.868 13.365.86618,00% 5.779.383 6.330.047 6.906.957 7.511.661 8.145.815 8.811.187 9.509.668 10.243.279 11.014.185 11.824.704 12.677.32017,25% 5.321.079 5.854.834 6.413.988 7.000.038 7.614.584 8.259.336 8.936.122 9.646.899 10.393.758 11.178.941 12.004.84816,50% 4.873.264 5.390.527 5.932.362 6.500.217 7.095.639 7.720.281 8.375.909 9.064.416 9.787.823 10.548.297 11.348.15815,75% 4.435.749 4.936.928 5.461.874 6.011.986 6.588.758 7.193.789 7.828.787 8.495.577 9.196.116 9.932.497 10.706.96215,00% 4.007.031 4.492.557 5.001.066 5.533.910 6.092.533 6.678.480 7.293.399 7.939.057 8.617.342 9.330.276 10.080.02714,25% 3.587.001 4.057.295 4.549.810 5.065.852 5.606.815 6.174.192 6.769.575 7.394.670 8.051.301 8.741.422 9.467.12513,50% 3.176.740 3.632.188 4.109.113 4.608.778 5.132.529 5.681.807 6.258.150 6.863.205 7.498.733 8.166.621 8.868.88912,75% 2.776.067 3.217.046 3.678.779 4.162.485 4.669.463 5.201.104 5.758.893 6.344.420 6.959.386 7.605.610 8.285.04412,00% 2.384.805 2.811.686 3.258.616 3.726.771 4.217.407 4.731.864 5.271.577 5.838.079 6.433.011 7.058.130 7.715.31711,25% 2.002.778 2.415.923 2.848.432 3.301.439 3.776.154 4.273.872 4.795.976 5.343.945 5.919.363 6.523.924 7.159.443

6.678.480 12,53% 12,02% 11,52% 11,02% 10,52% 10,02% 9,52% 9,02% 8,52% 8,02% 7,52%

7.500.000 5.967.076 6.442.685 6.941.025 7.463.441 8.011.367 8.586.339 9.189.998 9.824.101 10.490.525 11.191.283 11.928.5328.000.000 5.578.210 6.055.719 6.556.006 7.080.417 7.630.391 8.207.462 8.813.275 9.449.587 10.118.278 10.821.364 11.561.0018.500.000 5.185.744 5.665.250 6.167.585 6.694.096 7.246.223 7.825.505 8.433.585 9.072.223 9.743.303 10.448.840 11.190.9949.000.000 4.793.278 5.274.781 5.779.163 6.307.775 6.862.056 7.443.547 8.053.894 8.694.860 9.368.327 10.076.316 10.820.9889.500.000 4.400.812 4.884.312 5.390.742 5.921.453 6.477.888 7.061.589 7.674.204 8.317.496 8.993.352 9.703.792 10.450.981

10.000.000 4.007.031 4.492.557 5.001.066 5.533.910 6.092.533 6.678.480 7.293.399 7.939.057 8.617.342 9.330.276 10.080.02710.500.000 3.608.351 4.096.016 4.606.720 5.141.819 5.702.758 6.291.083 6.908.447 7.556.616 8.237.482 8.953.069 9.705.54711.000.000 3.209.672 3.699.475 4.212.374 4.749.728 5.312.982 5.903.686 6.523.494 7.174.174 7.857.622 8.575.862 9.331.06811.500.000 2.810.993 3.302.934 3.818.029 4.357.636 4.923.207 5.516.290 6.138.541 6.791.733 7.477.761 8.198.655 8.956.58812.000.000 2.407.586 2.901.751 3.419.134 3.961.095 4.529.086 5.124.660 5.749.474 6.405.304 7.094.047 7.817.735 8.578.54612.500.000 2.001.612 2.498.050 3.017.771 3.562.139 4.132.608 4.730.733 5.358.174 6.016.710 6.708.240 7.434.801 8.198.571

6.678.480 11,25% 12,00% 12,75% 13,50% 14,25% 15,00% 15,75% 16,50% 17,25% 18,00% 18,75%

7.500.000 6.195.794 6.651.631 7.118.695 7.596.356 8.085.409 8.586.339 9.099.371 9.624.732 10.162.652 10.713.363 11.277.1008.000.000 5.813.837 6.269.673 6.736.737 7.215.243 7.705.412 8.207.462 8.721.440 9.246.801 9.784.720 10.335.431 10.899.1698.500.000 5.431.879 5.887.715 6.354.779 6.833.286 7.323.454 7.825.505 8.339.662 8.866.154 9.405.209 9.957.060 10.521.2389.000.000 5.048.665 5.505.758 5.972.821 6.451.328 6.941.496 7.443.547 7.957.705 8.484.196 9.023.251 9.575.103 10.139.9869.500.000 4.661.269 5.119.261 5.588.500 6.069.203 6.559.538 7.061.589 7.575.747 8.102.238 8.641.293 9.193.145 9.758.029

10.000.000 4.273.872 4.731.864 5.201.104 5.681.807 6.174.192 6.678.480 7.193.789 7.720.281 8.259.336 8.811.187 9.376.07110.500.000 3.883.710 4.344.467 4.813.707 5.294.410 5.786.795 6.291.083 6.807.499 7.336.269 7.877.378 8.429.230 8.994.11311.000.000 3.489.783 3.951.298 4.424.111 4.907.013 5.399.398 5.903.686 6.420.102 6.948.872 7.490.227 8.044.399 8.611.62411.500.000 3.095.855 3.557.371 4.030.184 4.514.511 5.010.572 5.516.290 6.032.705 6.561.475 7.102.830 7.657.002 8.224.22712.000.000 2.697.685 3.163.444 3.636.257 4.120.584 4.616.644 5.124.660 5.644.854 6.174.079 6.715.433 7.269.605 7.836.83112.500.000 2.296.428 2.763.130 3.241.228 3.726.657 4.222.717 4.730.733 5.250.927 5.783.530 6.328.037 6.882.209 7.449.434

Long Island

Long Island∆ WACC

∆ Increase in power prices

∆ Equipmen

t∆ Eq

uipmen

t

Long Island

∆ WACC

∆ Increase in p

ower p

rices

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Exhibit 15.2

Variation 10%

System used SP‐15WACC 10,02%

Increase 15%

Equipment 10.000.000

6.276.543 12,53% 12,02% 11,52% 11,02% 10,52% 10,02% 9,52% 9,02% 8,52% 8,02% 7,52%

18,75% 5.860.479 6.415.926 6.997.875 7.607.890 8.247.642 8.918.917 9.623.625 10.363.810 11.141.657 11.959.508 12.819.87018,00% 5.401.721 5.940.214 6.504.358 7.095.666 7.715.756 8.366.353 9.049.307 9.766.592 10.520.323 11.312.764 12.146.34117,25% 4.953.412 5.475.365 6.022.140 6.595.201 7.196.110 7.826.537 8.488.270 9.183.218 9.913.427 10.681.084 11.488.53616,50% 4.515.015 5.020.843 5.550.686 6.105.957 6.688.168 7.298.934 7.939.980 8.613.154 9.320.433 10.063.932 10.845.91715,75% 4.084.496 4.574.649 5.088.031 5.626.009 6.190.044 6.781.696 7.402.633 8.054.641 8.739.629 9.459.643 10.216.87215,00% 3.663.892 4.138.762 4.636.095 5.157.213 5.703.526 6.276.543 6.877.876 7.509.248 8.172.506 8.869.625 9.602.72114,25% 3.253.023 3.712.993 4.194.681 4.699.362 5.228.401 5.783.253 6.365.476 6.976.734 7.618.811 8.293.613 9.003.18613,50% 2.851.709 3.297.157 3.763.595 4.252.257 4.764.459 5.301.607 5.865.205 6.456.860 7.078.294 7.731.349 8.417.99712,75% 2.459.775 2.891.069 3.342.647 3.815.698 4.311.492 4.831.388 5.376.837 5.949.390 6.550.710 7.182.573 7.846.88512,00% 2.077.047 2.494.550 2.931.647 3.389.487 3.869.295 4.372.382 4.900.149 5.454.092 6.035.815 6.647.033 7.289.58511,25% 1.702.755 2.106.833 2.529.836 2.972.870 3.437.118 3.923.845 4.434.401 4.970.232 5.532.883 6.124.010 6.745.385

6.276.543 12,53% 12,02% 11,52% 11,02% 10,52% 10,02% 9,52% 9,02% 8,52% 8,02% 7,52%

7.500.000 5.630.899 6.095.681 6.582.667 7.093.172 7.628.596 8.190.440 8.780.306 9.399.908 10.051.081 10.735.792 11.456.1458.000.000 5.239.174 5.705.933 6.194.947 6.707.530 7.245.086 7.809.117 8.401.226 9.023.131 9.676.668 10.363.805 11.086.6488.500.000 4.846.708 5.315.464 5.806.525 6.321.208 6.860.919 7.427.159 8.021.536 8.645.767 9.301.692 9.991.281 10.716.6419.000.000 4.454.242 4.924.995 5.418.104 5.934.887 6.476.751 7.045.202 7.641.845 8.268.404 8.926.717 9.618.757 10.346.6359.500.000 4.061.776 4.534.526 5.029.683 5.548.566 6.092.584 6.663.244 7.262.155 7.891.040 8.551.741 9.246.233 9.976.628

10.000.000 3.663.892 4.138.762 4.636.095 5.157.213 5.703.526 6.276.543 6.877.876 7.509.248 8.172.506 8.869.625 9.602.72110.500.000 3.265.213 3.742.220 4.241.749 4.765.121 5.313.750 5.889.146 6.492.923 7.126.807 7.792.646 8.492.418 9.228.24111.000.000 2.866.533 3.345.679 3.847.403 4.373.030 4.923.975 5.501.749 6.107.970 6.744.366 7.412.786 8.115.210 8.853.76111.500.000 2.465.177 2.946.510 3.450.482 3.978.419 4.531.739 5.111.956 5.720.688 6.359.666 7.030.743 7.735.901 8.477.26412.000.000 2.059.204 2.542.809 3.049.119 3.579.463 4.135.261 4.718.029 5.329.388 5.971.072 6.644.937 7.352.967 8.097.28912.500.000 1.653.231 2.139.108 2.647.756 3.180.507 3.738.782 4.324.102 4.938.088 5.582.479 6.259.131 6.970.032 7.717.314

6.276.543 11,25% 12,00% 12,75% 13,50% 14,25% 15,00% 15,75% 16,50% 17,25% 18,00% 18,75%

7.500.000 5.849.653 6.295.548 6.752.425 7.220.496 7.699.973 8.190.440 8.692.283 9.206.186 9.732.374 10.271.074 10.822.5178.000.000 5.467.696 5.913.590 6.370.468 6.838.538 7.318.016 7.809.117 8.312.061 8.827.070 9.354.368 9.893.143 10.444.5858.500.000 5.085.738 5.531.633 5.988.510 6.456.580 6.936.058 7.427.159 7.930.103 8.445.112 8.972.411 9.512.226 10.064.7909.000.000 4.699.172 5.147.176 5.606.181 6.074.623 6.554.100 7.045.202 7.548.146 8.063.154 8.590.453 9.130.269 9.682.8329.500.000 4.311.776 4.759.779 5.218.785 5.689.004 6.170.650 6.663.244 7.166.188 7.681.197 8.208.495 8.748.311 9.300.875

10.000.000 3.923.845 4.372.382 4.831.388 5.301.607 5.783.253 6.276.543 6.781.696 7.298.934 7.826.537 8.366.353 8.918.91710.500.000 3.529.918 3.981.368 4.443.869 4.914.210 5.395.856 5.889.146 6.394.299 6.911.537 7.441.085 7.983.170 8.536.95911.000.000 3.135.991 3.587.441 4.049.942 4.523.706 5.008.460 5.501.749 6.006.902 6.524.140 7.053.688 7.595.774 8.150.62811.500.000 2.739.976 3.193.514 3.656.015 4.129.779 4.615.020 5.111.956 5.619.506 6.136.743 6.666.291 7.208.377 7.763.23112.000.000 2.338.719 2.795.242 3.262.088 3.735.852 4.221.093 4.718.029 5.226.878 5.747.865 6.278.895 6.820.980 7.375.83412.500.000 1.937.463 2.393.986 2.861.657 3.340.690 3.827.166 4.324.102 4.832.951 5.353.937 5.887.286 6.433.225 6.988.438

SP‐15∆ Increase in power prices

∆ Equipmen

t∆ Eq

uipmen

t

SP‐15∆ WACC

∆ Increase in p

ower p

rices

SP‐15∆ WACC

Page 108: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 15.3

Variation 10%

System used San DiegoWACC 10,02%

Increase 15%

Equipment 10.000.000

10.648.459 12,53% 12,02% 11,52% 11,02% 10,52% 10,02% 9,52% 9,02% 8,52% 8,02% 7,52%

18,75% 10.103.518 10.797.228 11.524.194 12.286.385 13.085.904 13.924.999 14.806.074 15.731.699 16.704.628 17.727.808 18.804.39518,00% 9.534.064 10.206.624 10.911.380 11.650.238 12.425.231 13.238.536 14.092.477 14.989.543 15.932.396 16.923.888 17.967.07417,25% 8.977.610 9.629.536 10.312.626 11.028.720 11.779.789 12.567.935 13.395.408 14.264.616 15.178.132 16.138.716 17.149.32116,50% 8.433.921 9.065.721 9.727.677 10.421.569 11.149.302 11.912.910 12.714.569 13.556.606 14.441.510 15.371.950 16.350.78215,75% 7.902.767 8.514.939 9.156.283 9.828.523 10.533.499 11.273.178 12.049.663 12.865.204 13.722.208 14.623.254 15.571.10415,00% 7.383.921 7.976.952 8.598.198 9.249.325 9.932.112 10.648.459 11.400.399 12.190.106 13.019.908 13.892.296 14.809.93914,25% 6.877.156 7.451.526 8.053.178 8.683.721 9.344.875 10.038.476 10.766.488 11.531.012 12.334.296 13.178.747 14.066.94613,50% 6.382.252 6.938.429 7.520.981 8.131.460 8.771.527 9.442.956 10.147.645 10.887.623 11.665.061 12.482.284 13.341.78512,75% 5.898.987 6.437.434 7.001.369 7.592.293 8.211.809 8.861.630 9.543.590 10.259.646 11.011.897 11.802.587 12.634.12212,00% 5.427.147 5.948.315 6.494.108 7.065.976 7.665.466 8.294.232 8.954.044 9.646.792 10.374.501 11.139.339 11.943.62711,25% 4.966.516 5.470.848 5.998.966 6.552.267 7.132.246 7.740.500 8.378.734 9.048.775 9.752.576 10.492.229 11.269.974

10.648.459 12,53% 12,02% 11,52% 11,02% 10,52% 10,02% 9,52% 9,02% 8,52% 8,02% 7,52%

7.500.000 9.316.910 9.900.775 10.512.626 11.154.121 11.827.029 12.533.246 13.274.793 14.053.838 14.872.698 15.733.855 16.639.9698.000.000 8.931.819 9.517.470 10.131.152 10.774.524 11.449.358 12.157.549 12.901.123 13.682.248 14.503.242 15.366.590 16.274.9548.500.000 8.546.728 9.134.165 9.749.678 10.394.927 11.071.687 11.781.853 12.527.454 13.310.657 14.133.786 14.999.325 15.909.9389.000.000 8.159.444 8.748.736 9.366.150 10.013.348 10.692.106 11.404.322 12.152.024 12.937.385 13.762.726 14.630.537 15.543.4819.500.000 7.771.683 8.362.844 8.982.174 9.631.337 10.312.109 11.026.390 11.776.212 12.563.746 13.391.317 14.261.416 15.176.710

10.000.000 7.383.921 7.976.952 8.598.198 9.249.325 9.932.112 10.648.459 11.400.399 12.190.106 13.019.908 13.892.296 14.809.93910.500.000 6.996.159 7.591.060 8.214.222 8.867.314 9.552.115 10.270.528 11.024.586 11.816.467 12.648.499 13.523.176 14.443.16811.000.000 6.607.599 7.204.391 7.829.492 8.484.571 9.171.410 9.891.913 10.648.115 11.442.196 12.276.485 13.153.478 14.075.84811.500.000 6.215.133 6.813.922 7.441.071 8.098.250 8.787.243 9.509.955 10.268.425 11.064.832 11.901.509 12.780.954 13.705.84112.000.000 5.822.667 6.423.453 7.052.649 7.711.928 8.403.075 9.127.997 9.888.735 10.687.469 11.526.534 12.408.430 13.335.83512.500.000 5.430.201 6.032.984 6.664.228 7.325.607 8.018.908 8.746.040 9.509.044 10.310.105 11.151.558 12.035.906 12.965.828

10.648.459 11,25% 12,00% 12,75% 13,50% 14,25% 15,00% 15,75% 16,50% 17,25% 18,00% 18,75%

7.500.000 9.627.566 10.180.842 10.747.784 11.328.654 11.923.718 12.533.246 13.157.509 13.796.785 14.451.354 15.121.499 15.807.5068.000.000 9.251.869 9.805.146 10.372.088 10.952.958 11.548.022 12.157.549 12.781.813 13.421.089 14.075.658 14.745.803 15.431.8108.500.000 8.874.294 9.428.027 9.995.424 10.576.750 11.172.270 11.781.853 12.406.117 13.045.393 13.699.962 14.370.107 15.056.1149.000.000 8.496.363 9.050.095 9.617.493 10.198.819 10.794.339 11.404.322 12.029.041 12.668.773 13.323.798 13.994.398 14.680.4189.500.000 8.118.431 8.672.164 9.239.562 9.820.887 10.416.407 11.026.390 11.651.110 12.290.842 12.945.866 13.616.467 14.302.931

10.000.000 7.740.500 8.294.232 8.861.630 9.442.956 10.038.476 10.648.459 11.273.178 11.912.910 12.567.935 13.238.536 13.924.99910.500.000 7.359.152 7.914.224 8.482.968 9.065.025 9.660.544 10.270.528 10.895.247 11.534.979 12.190.004 12.860.604 13.547.06811.000.000 6.977.195 7.532.267 8.101.010 8.683.688 9.280.565 9.891.913 10.517.316 11.157.048 11.812.072 12.482.673 13.169.13611.500.000 6.595.237 7.150.309 7.719.052 8.301.730 8.898.608 9.509.955 10.136.045 10.777.154 11.433.561 12.104.741 12.791.20512.000.000 6.212.847 6.768.351 7.337.095 7.919.772 8.516.650 9.127.997 9.754.087 10.395.196 11.051.603 11.723.593 12.411.45212.500.000 5.825.451 6.383.148 6.954.541 7.537.815 8.134.692 8.746.040 9.372.129 10.013.238 10.669.646 11.341.635 12.029.494

San Diego∆ Increase in power prices

∆ Equipmen

t∆ Eq

uipmen

t

San Diego∆ WACC

∆ Increase in p

ower p

rices

San Diego∆ WACC

Page 109: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 15.4

Variation 10%

System used SoCal

WACC 10,02%

Increase 15%

Equipment 10.000.000

6.333.148 12,53% 12,02% 11,52% 11,02% 10,52% 10,02% 9,52% 9,02% 8,52% 8,02% 7,52%

18,75% 5.915.106 6.472.321 7.056.123 7.668.083 8.309.878 8.983.299 9.690.262 10.432.818 11.213.159 12.033.636 12.896.76418,00% 5.454.908 5.995.115 6.561.057 7.154.251 7.776.321 8.429.000 9.114.140 9.833.724 10.589.874 11.384.861 12.221.11917,25% 5.005.191 5.528.806 6.077.325 6.652.215 7.255.044 7.887.489 8.551.342 9.248.519 9.981.072 10.751.198 11.561.24916,50% 4.565.767 5.073.199 5.604.724 6.161.760 6.745.823 7.358.535 8.001.627 8.676.951 9.386.492 10.132.371 10.916.86415,75% 4.134.141 4.625.843 5.140.850 5.680.532 6.246.356 6.839.887 7.462.800 8.116.884 8.804.057 9.526.370 10.286.02015,00% 3.712.217 4.188.587 4.687.494 5.210.263 5.758.310 6.333.148 6.936.394 7.569.779 8.235.153 8.934.499 9.669.94014,25% 3.300.057 3.761.481 4.244.694 4.750.976 5.281.694 5.838.310 6.422.386 7.035.593 7.679.719 8.356.679 9.068.52313,50% 2.897.484 3.344.339 3.812.255 4.302.467 4.816.295 5.355.151 5.920.544 6.514.086 7.137.505 7.792.649 8.481.49712,75% 2.504.319 2.936.977 3.389.985 3.864.536 4.361.906 4.883.456 5.430.642 6.005.023 6.608.264 7.242.150 7.908.59212,00% 2.120.389 2.539.213 2.977.695 3.436.987 3.918.320 4.423.009 4.952.457 5.508.169 6.091.752 6.704.928 7.349.54111,25% 1.745.520 2.150.866 2.575.197 3.019.625 3.485.336 3.973.599 4.485.768 5.023.295 5.587.729 6.180.733 6.804.083

6.333.148 12,53% 12,02% 11,52% 11,02% 10,52% 10,02% 9,52% 9,02% 8,52% 8,02% 7,52%

7.500.000 5.678.243 6.144.550 6.633.135 7.145.317 7.682.503 8.246.195 8.838.003 9.459.647 10.112.969 10.799.940 11.522.6728.000.000 5.286.921 5.755.194 6.245.795 6.760.044 7.299.349 7.865.217 8.459.256 9.083.189 9.738.861 10.428.243 11.153.4528.500.000 4.894.455 5.364.725 5.857.374 6.373.723 6.915.182 7.483.259 8.079.565 8.705.826 9.363.885 10.055.719 10.783.4459.000.000 4.501.989 4.974.256 5.468.952 5.987.401 6.531.014 7.101.301 7.699.875 8.328.462 8.988.910 9.683.195 10.413.4389.500.000 4.109.523 4.583.787 5.080.531 5.601.080 6.146.847 6.719.343 7.320.184 7.951.098 8.613.934 9.310.671 10.043.432

10.000.000 3.712.217 4.188.587 4.687.494 5.210.263 5.758.310 6.333.148 6.936.394 7.569.779 8.235.153 8.934.499 9.669.94010.500.000 3.313.537 3.792.046 4.293.148 4.818.172 5.368.535 5.945.752 6.551.442 7.187.337 7.855.293 8.557.292 9.295.46111.000.000 2.914.858 3.395.505 3.898.803 4.426.081 4.978.759 5.558.355 6.166.489 6.804.896 7.475.433 8.180.085 8.920.98111.500.000 2.514.240 2.997.060 3.502.592 4.032.165 4.587.202 5.169.222 5.779.849 6.420.820 7.093.992 7.801.355 8.545.04012.000.000 2.108.267 2.593.359 3.101.228 3.633.209 4.190.724 4.775.295 5.388.549 6.032.226 6.708.186 7.418.421 8.165.06512.500.000 1.702.294 2.189.658 2.699.865 3.234.252 3.794.245 4.381.368 4.997.250 5.643.632 6.322.379 7.035.486 7.785.090

6.333.148 11,25% 12,00% 12,75% 13,50% 14,25% 15,00% 15,75% 16,50% 17,25% 18,00% 18,75%

7.500.000 5.898.401 6.345.696 6.804.007 7.273.548 7.754.531 8.246.195 8.749.614 9.265.131 9.792.971 10.333.362 10.886.5368.000.000 5.516.443 5.963.738 6.422.050 6.891.590 7.372.573 7.865.217 8.369.740 8.886.366 9.415.039 9.955.431 10.508.6058.500.000 5.134.486 5.581.780 6.040.092 6.509.632 6.990.616 7.483.259 7.987.782 8.504.408 9.033.362 9.574.873 10.129.1729.000.000 4.748.392 5.197.802 5.658.134 6.127.675 6.608.658 7.101.301 7.605.824 8.122.450 8.651.405 9.192.915 9.747.2149.500.000 4.360.995 4.810.405 5.270.852 5.742.548 6.225.706 6.719.343 7.223.867 7.740.493 8.269.447 8.810.958 9.365.256

10.000.000 3.973.599 4.423.009 4.883.456 5.355.151 5.838.310 6.333.148 6.839.887 7.358.535 7.887.489 8.429.000 8.983.29910.500.000 3.579.743 4.032.610 4.496.059 4.967.754 5.450.913 5.945.752 6.452.490 6.971.352 7.502.563 8.046.351 8.601.34111.000.000 3.185.816 3.638.683 4.102.637 4.577.889 5.063.516 5.558.355 6.065.094 6.583.956 7.115.166 7.658.954 8.215.55111.500.000 2.790.530 3.244.756 3.708.710 4.183.961 4.670.726 5.169.222 5.677.697 6.196.559 6.727.770 7.271.558 7.828.15412.000.000 2.389.273 2.847.229 3.314.783 3.790.034 4.276.799 4.775.295 5.285.742 5.808.365 6.340.373 6.884.161 7.440.75712.500.000 1.988.016 2.445.973 2.915.113 3.395.650 3.882.872 4.381.368 4.891.815 5.414.438 5.949.461 6.496.764 7.053.360

SoCal∆ Increase in power prices

∆ Equipmen

t∆ Eq

uipmen

t

SoCal∆ WACC

∆ Increase in p

ower p

rices

SoCal∆ WACC

Page 110: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 15.5

Variation 10%

System used Long IslReturn on equity 20,00%

Increase 15%

Equipment 10.000.000

918.692 25% 24% 23% 22% 21% 20% 19% 18% 17% 16% 15%

18,75% 425.192 739.501 1.080.487 1.450.957 1.854.057 2.293.331 2.772.763 3.296.854 3.870.683 4.500.001 5.191.32418,00% 208.865 511.215 839.271 1.195.739 1.583.656 2.006.438 2.467.931 2.972.476 3.524.976 4.130.979 4.796.77517,25% -2.900 287.777 603.212 946.014 1.319.112 1.725.799 2.169.786 2.655.259 3.186.946 3.770.200 4.411.08916,50% -210.182 69.102 372.220 701.686 1.060.322 1.451.305 1.878.210 2.345.074 2.856.456 3.417.518 4.034.11015,75% -413.059 -144.893 146.206 462.659 807.186 1.182.847 1.593.088 2.041.799 2.533.374 3.072.788 3.665.68115,00% -613.331 -355.999 -76.610 227.167 557.952 918.692 1.312.707 1.743.744 2.216.036 2.734.378 3.304.20314,25% -810.977 -564.199 -296.216 -4.785 312.618 658.830 1.037.047 1.450.879 1.904.401 2.402.233 2.949.60813,50% -1.004.414 -767.931 -511.074 -231.683 72.670 404.714 767.528 1.164.583 1.599.806 2.077.642 2.603.13112,75% -1.193.717 -967.275 -721.267 -453.616 -161.989 156.243 504.038 884.739 1.302.123 1.760.468 2.264.62412,00% -1.378.960 -1.162.308 -926.879 -670.676 -391.454 -86.688 246.469 611.229 1.011.226 1.450.574 1.933.94011,25% -1.560.215 -1.353.109 -1.127.993 -882.948 -615.819 -324.178 -5.289 343.935 726.989 1.147.826 1.610.934

918.692 25% 24% 23% 22% 21% 20% 19% 18% 17% 16% 15%

7.500.000 791.664 1.060.667 1.352.322 1.668.999 2.013.364 2.388.411 2.797.510 3.244.463 3.733.566 4.269.677 4.858.3028.000.000 515.203 781.800 1.070.923 1.384.936 1.726.495 2.098.583 2.504.562 2.948.221 3.433.843 3.966.273 4.551.0028.500.000 233.501 497.778 784.463 1.095.912 1.434.772 1.804.017 2.206.997 2.647.493 3.129.773 3.658.671 4.239.6639.000.000 -48.202 213.755 498.003 806.888 1.143.049 1.509.450 1.909.432 2.346.764 2.825.703 3.351.069 3.928.3259.500.000 -329.904 -70.267 211.543 517.864 851.325 1.214.883 1.611.868 2.046.036 2.521.634 3.043.468 3.616.986

10.000.000 -613.331 -355.999 -76.610 227.167 557.952 918.692 1.312.707 1.743.744 2.216.036 2.734.378 3.304.20310.500.000 -903.177 -648.094 -371.062 -69.755 258.438 616.455 1.007.607 1.435.632 1.904.752 2.419.748 2.986.04411.000.000 -1.193.024 -940.190 -665.514 -366.677 -41.077 314.217 702.507 1.127.520 1.593.467 2.105.119 2.667.88511.500.000 -1.482.870 -1.232.285 -959.965 -663.599 -340.591 11.980 397.407 819.407 1.282.182 1.790.489 2.349.72512.000.000 -1.778.296 -1.529.956 -1.259.981 -966.065 -645.620 -295.731 86.885 505.937 965.617 1.470.672 2.026.48712.500.000 -2.076.749 -1.830.653 -1.563.016 -1.271.539 -953.641 -606.413 -226.580 189.559 646.186 1.148.039 1.700.493

918.692 11,25% 12,00% 12,75% 13,50% 14,25% 15,00% 15,75% 16,50% 17,25% 18,00% 18,75%

7.500.000 1.165.769 1.400.218 1.640.080 1.884.153 2.133.427 2.388.411 2.649.209 2.915.929 3.188.676 3.467.560 3.752.6908.000.000 871.202 1.105.652 1.345.513 1.590.887 1.841.876 2.098.583 2.360.836 2.627.555 2.900.303 3.179.187 3.464.3178.500.000 576.635 811.085 1.050.946 1.296.321 1.547.310 1.804.017 2.066.546 2.335.005 2.609.499 2.890.138 3.175.9449.000.000 280.297 516.518 756.380 1.001.754 1.252.743 1.509.450 1.771.980 2.040.438 2.314.932 2.595.571 2.882.4649.500.000 -21.940 215.550 458.480 706.952 958.176 1.214.883 1.477.413 1.745.872 2.020.366 2.301.004 2.587.897

10.000.000 -324.178 -86.688 156.243 404.714 658.830 918.692 1.182.847 1.451.305 1.725.799 2.006.438 2.293.33110.500.000 -629.991 -388.925 -145.995 102.477 356.592 616.455 882.169 1.153.841 1.431.232 1.711.871 1.998.76411.000.000 -940.673 -698.627 -451.076 -199.760 54.355 314.217 579.932 851.604 1.129.341 1.413.252 1.703.44811.500.000 -1.251.354 -1.009.308 -761.757 -508.599 -249.731 11.980 277.694 549.366 827.104 1.111.015 1.401.21012.000.000 -1.567.067 -1.319.990 -1.072.439 -819.281 -560.413 -295.731 -25.130 247.129 524.866 808.778 1.098.97312.500.000 -1.886.438 -1.638.244 -1.384.427 -1.129.962 -871.095 -606.413 -335.812 -59.185 222.629 506.540 796.735

∆ Equipmen

t

Long Island Equity∆ Return on equity

∆ Increase in p

ower p

rices

Long Island Equity∆ Return on equity

Long Island Equity∆ Increase in power prices

∆ Equipmen

t

Page 111: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 15.6

Variation 10%

System used SP‐15Return on equity 20,00%

Increase 15%

Equipment 10.000.000

688.778 25% 24% 23% 22% 21% 20% 19% 18% 17% 16% 15%

18,75% 223.034 528.353 859.656 1.219.677 1.611.486 2.038.536 2.504.716 3.014.413 3.572.582 4.184.832 4.857.52018,00% 11.425 305.046 623.701 970.026 1.346.982 1.757.900 2.206.532 2.697.110 3.234.415 3.823.858 4.471.57517,25% -195.722 86.481 392.790 725.747 1.088.207 1.483.382 1.914.890 2.386.811 2.903.757 3.470.948 4.094.30216,50% -398.940 -127.878 166.387 486.303 834.624 1.214.444 1.629.250 2.082.977 2.580.070 3.125.563 3.725.16115,75% -600.730 -340.514 -57.973 249.253 583.815 948.697 1.347.258 1.783.289 2.261.077 2.785.471 3.361.97215,00% -798.255 -548.622 -277.519 17.326 338.468 688.778 1.071.493 1.490.266 1.949.225 2.453.044 3.007.02114,25% -991.589 -752.281 -492.336 -209.567 98.484 434.583 801.845 1.203.788 1.644.387 2.128.143 2.660.15913,50% -1.180.808 -951.570 -702.508 -431.516 -136.231 186.010 538.204 923.737 1.346.435 1.810.631 2.321.23912,75% -1.365.983 -1.146.566 -908.116 -648.610 -365.772 -57.043 280.461 649.996 1.055.244 1.500.374 1.990.11512,00% -1.547.186 -1.337.346 -1.109.244 -860.935 -590.232 -294.675 28.509 382.451 770.691 1.197.239 1.666.64311,25% -1.725.191 -1.524.689 -1.306.673 -1.069.277 -810.399 -527.676 -218.442 120.311 491.987 900.440 1.350.041

688.778 25% 24% 23% 22% 21% 20% 19% 18% 17% 16% 15%

7.500.000 616.280 877.468 1.160.708 1.468.313 1.802.879 2.167.325 2.564.937 2.999.423 3.474.970 3.996.316 4.568.8308.000.000 335.657 594.508 875.290 1.180.311 1.512.155 1.873.734 2.268.323 2.699.619 3.171.796 3.689.579 4.258.3248.500.000 53.955 310.485 588.830 891.286 1.220.432 1.579.167 1.970.759 2.398.891 2.867.726 3.381.978 3.946.9859.000.000 -227.748 26.463 302.370 602.262 928.709 1.284.601 1.673.194 2.098.162 2.563.657 3.074.376 3.635.6479.500.000 -509.450 -257.559 15.910 313.238 636.986 990.034 1.375.629 1.797.434 2.259.587 2.766.774 3.324.308

10.000.000 -798.255 -548.622 -277.519 17.326 338.468 688.778 1.071.493 1.490.266 1.949.225 2.453.044 3.007.02110.500.000 -1.088.101 -840.717 -571.971 -279.596 38.953 386.540 766.393 1.182.154 1.637.941 2.138.414 2.688.86211.000.000 -1.377.947 -1.132.813 -866.423 -576.518 -260.562 84.303 461.293 874.042 1.326.656 1.823.785 2.370.70311.500.000 -1.670.953 -1.428.066 -1.164.025 -876.579 -563.198 -221.034 153.123 562.896 1.012.381 1.506.218 2.049.66712.000.000 -1.969.406 -1.728.762 -1.467.060 -1.182.053 -871.219 -531.716 -160.342 246.518 692.950 1.183.585 1.723.67312.500.000 -2.267.858 -2.029.458 -1.770.094 -1.487.527 -1.179.239 -842.397 -473.806 -69.860 373.519 860.952 1.397.679

688.778 11,25% 12,00% 12,75% 13,50% 14,25% 15,00% 15,75% 16,50% 17,25% 18,00% 18,75%

7.500.000 967.688 1.197.024 1.431.655 1.671.677 1.917.192 2.167.325 2.422.435 2.683.337 2.950.136 3.222.938 3.501.8498.000.000 673.122 902.458 1.137.088 1.377.111 1.622.626 1.873.734 2.130.538 2.393.141 2.661.649 2.934.565 3.213.4768.500.000 378.555 607.891 842.521 1.082.544 1.328.059 1.579.167 1.835.971 2.098.575 2.367.082 2.641.600 2.922.2369.000.000 77.489 309.800 547.432 787.977 1.033.492 1.284.601 1.541.405 1.804.008 2.072.516 2.347.034 2.627.6699.500.000 -224.748 7.562 245.194 488.247 736.820 990.034 1.246.838 1.509.441 1.777.949 2.052.467 2.333.103

10.000.000 -527.676 -294.675 -57.043 186.010 434.583 688.778 948.697 1.214.444 1.483.382 1.757.900 2.038.53610.500.000 -838.357 -601.591 -359.439 -116.228 132.345 386.540 646.460 912.207 1.183.887 1.461.606 1.743.96911.000.000 -1.149.039 -912.272 -670.120 -422.483 -169.892 84.303 344.222 609.969 881.649 1.159.368 1.443.23511.500.000 -1.462.196 -1.222.954 -980.802 -733.165 -479.943 -221.034 41.985 307.732 579.412 857.131 1.140.99712.000.000 -1.781.566 -1.538.786 -1.291.483 -1.043.846 -790.625 -531.716 -267.016 3.578 277.174 554.893 838.76012.500.000 -2.100.937 -1.858.156 -1.609.875 -1.355.992 -1.101.306 -842.397 -577.698 -307.104 -30.510 252.192 536.522

∆ Equipmen

t

SP‐15 Equity∆ Return on equity

∆ Increase in p

ower p

rices

SP‐15 Equity∆ Return on equity

∆ Equipmen

t

SP‐15 Equity∆ Increase in power prices

Page 112: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 15.7

Variation 10%

System used San DiegoReturn on equity 20,00%

Increase 15%

Equipment 10.000.000

3.153.378 25% 24% 23% 22% 21% 20% 19% 18% 17% 16% 15%

18,75% 2.418.793 2.823.233 3.261.314 3.736.542 4.252.851 4.814.661 5.426.947 6.095.319 6.826.111 7.626.487 8.504.56418,00% 2.157.745 2.547.583 2.969.877 3.428.011 3.925.782 4.467.458 5.057.844 5.702.356 6.407.112 7.179.030 8.025.95017,25% 1.902.241 2.277.826 2.684.710 3.126.157 3.605.835 4.127.861 4.696.874 5.318.103 5.997.452 6.741.602 7.558.12216,50% 1.652.187 2.013.859 2.405.702 2.830.865 3.292.885 3.795.737 4.343.895 4.942.405 5.596.966 6.314.025 7.100.88715,75% 1.407.486 1.755.581 2.132.746 2.542.019 2.986.810 3.470.952 3.998.764 4.575.110 5.205.490 5.896.123 6.654.05515,00% 1.168.046 1.502.892 1.865.735 2.259.504 2.687.486 3.153.378 3.661.341 4.216.069 4.822.862 5.487.720 6.217.43914,25% 933.773 1.255.693 1.604.565 1.983.209 2.394.795 2.842.884 3.331.488 3.865.131 4.448.923 5.088.646 5.790.85313,50% 704.576 1.013.887 1.349.130 1.713.022 2.108.616 2.539.344 3.009.069 3.522.151 4.083.514 4.698.730 5.374.11312,75% 480.366 777.378 1.099.328 1.448.834 1.828.833 2.242.631 2.693.949 3.186.984 3.726.480 4.317.804 4.967.03912,00% 261.052 546.070 855.058 1.190.535 1.555.329 1.952.621 2.385.994 2.859.487 3.377.668 3.945.703 4.569.45211,25% 46.546 319.869 616.219 938.019 1.287.991 1.669.193 2.085.072 2.539.518 3.036.924 3.582.263 4.181.175

3.153.378 25% 24% 23% 22% 21% 20% 19% 18% 17% 16% 15%

7.500.000 2.532.896 2.880.140 3.256.021 3.663.512 4.105.947 4.587.072 5.111.103 5.682.792 6.307.504 6.991.306 7.741.0698.000.000 2.262.364 2.607.068 2.980.280 3.384.962 3.824.440 4.302.449 4.823.195 5.391.417 6.012.468 6.692.400 7.438.0718.500.000 1.991.831 2.333.997 2.704.539 3.106.413 3.542.933 4.017.826 4.535.286 5.100.042 5.717.431 6.393.495 7.135.0739.000.000 1.717.751 2.057.465 2.425.427 2.824.586 3.258.246 3.730.124 4.244.403 4.805.800 5.419.642 6.091.953 6.829.5609.500.000 1.442.898 1.780.178 2.145.581 2.542.045 2.972.866 3.441.751 3.952.872 4.510.934 5.121.252 5.789.836 6.523.500

10.000.000 1.168.046 1.502.892 1.865.735 2.259.504 2.687.486 3.153.378 3.661.341 4.216.069 4.822.862 5.487.720 6.217.43910.500.000 893.193 1.225.606 1.585.889 1.976.963 2.402.106 2.865.005 3.369.810 3.921.203 4.524.473 5.185.604 5.911.37811.000.000 617.177 947.177 1.304.921 1.693.322 2.115.650 2.575.581 3.077.255 3.625.342 4.225.119 4.882.556 5.604.42211.500.000 335.475 663.155 1.018.461 1.404.298 1.823.927 2.281.014 2.779.690 3.324.614 3.921.049 4.574.955 5.293.08312.000.000 53.772 379.132 732.001 1.115.274 1.532.203 1.986.447 2.482.125 3.023.885 3.616.980 4.267.353 4.981.74512.500.000 -227.930 95.110 445.541 826.250 1.240.480 1.691.881 2.184.561 2.723.157 3.312.910 3.959.751 4.670.406

3.153.378 11,25% 12,00% 12,75% 13,50% 14,25% 15,00% 15,75% 16,50% 17,25% 18,00% 18,75%

7.500.000 3.106.711 3.389.375 3.678.619 3.974.567 4.277.343 4.587.072 4.903.881 5.227.901 5.559.260 5.898.092 6.244.5318.000.000 2.822.088 3.104.752 3.393.997 3.689.945 3.992.720 4.302.449 4.619.259 4.943.278 5.274.638 5.613.470 5.959.9088.500.000 2.534.312 2.817.741 3.107.750 3.404.463 3.708.003 4.017.826 4.334.636 4.658.655 4.990.015 5.328.847 5.675.2859.000.000 2.245.939 2.529.368 2.819.377 3.116.090 3.419.630 3.730.124 4.047.699 4.372.483 4.704.607 5.044.204 5.390.6629.500.000 1.957.566 2.240.995 2.531.004 2.827.717 3.131.257 3.441.751 3.759.325 4.084.110 4.416.234 4.755.831 5.103.034

10.000.000 1.669.193 1.952.621 2.242.631 2.539.344 2.842.884 3.153.378 3.470.952 3.795.737 4.127.861 4.467.458 4.814.66110.500.000 1.375.565 1.661.054 1.953.133 2.250.971 2.554.511 2.865.005 3.182.579 3.507.363 3.839.488 4.179.085 4.526.28811.000.000 1.080.998 1.366.487 1.658.567 1.957.359 2.262.988 2.575.581 2.894.206 3.218.990 3.551.115 3.890.712 4.237.91511.500.000 786.432 1.071.921 1.364.000 1.662.792 1.968.422 2.281.014 2.600.696 2.927.598 3.261.850 3.602.339 3.949.54212.000.000 491.256 777.354 1.069.434 1.368.226 1.673.855 1.986.447 2.306.130 2.633.032 2.967.283 3.309.017 3.658.36612.500.000 189.018 478.210 774.026 1.073.659 1.379.288 1.691.881 2.011.563 2.338.465 2.672.717 3.014.450 3.363.800

∆ Equipmen

t

San Diego Equity∆ Return on equity

∆ Increase in p

ower p

rices

San Diego Equity∆ Return on equity

∆ Equipmen

t

San Diego Equity∆ Increase in power prices

Page 113: MS ritgerð Viðskiptafræði Electric Energy Price Arbitrage ... Energy Price... · Electric Energy Price Arbitrage Using Battery Energy Storage Feasibility Study Kristinn Hafliðason

Exhibit 15.8

Variation 10%

System used SoCal

Return on equity 20,00%

Increase 15%

Equipment 10.000.000

721.157 25% 24% 23% 22% 21% 20% 19% 18% 17% 16% 15%

18,75% 251.504 558.090 890.756 1.252.248 1.645.647 2.074.419 2.542.466 3.054.189 3.614.564 4.229.218 4.904.53018,00% 39.231 334.081 654.060 1.001.813 1.380.313 1.792.902 2.243.346 2.735.890 3.275.335 3.867.110 4.517.37417,25% -168.567 114.830 422.424 756.767 1.120.726 1.517.522 1.950.787 2.424.617 2.943.639 3.513.092 4.138.91516,50% -371.964 -99.747 195.760 517.017 866.785 1.248.172 1.664.675 2.120.245 2.619.342 3.167.019 3.769.00015,75% -574.066 -312.733 -28.989 279.533 615.496 981.892 1.382.094 1.819.907 2.299.631 2.826.136 3.404.93915,00% -772.212 -521.494 -249.225 46.878 369.378 721.157 1.105.464 1.525.964 1.986.801 2.492.664 3.048.87414,25% -966.153 -725.793 -464.716 -180.727 128.641 466.164 834.969 1.238.586 1.681.005 2.166.743 2.700.92313,50% -1.155.966 -925.708 -675.548 -403.373 -106.811 216.810 570.500 957.656 1.382.118 1.848.235 2.360.93812,75% -1.341.722 -1.121.316 -881.802 -621.149 -337.073 -27.006 311.948 683.055 1.090.013 1.537.004 2.028.77412,00% -1.523.494 -1.312.695 -1.083.561 -834.140 -562.238 -265.384 59.204 414.670 804.566 1.232.917 1.704.28711,25% -1.701.353 -1.499.921 -1.280.907 -1.042.435 -782.399 -498.424 -187.836 152.385 525.655 935.842 1.387.333

721.157 25% 24% 23% 22% 21% 20% 19% 18% 17% 16% 15%

7.500.000 640.980 903.268 1.187.693 1.496.576 1.832.522 2.198.460 2.597.691 3.033.933 3.511.389 4.034.814 4.609.5978.000.000 360.943 620.884 902.842 1.209.128 1.542.341 1.905.400 2.301.593 2.734.630 3.208.700 3.728.546 4.299.5428.500.000 79.241 336.862 616.382 920.104 1.250.618 1.610.833 2.004.028 2.433.902 2.904.631 3.420.945 3.988.2039.000.000 -202.462 52.840 329.922 631.080 958.895 1.316.267 1.706.464 2.133.173 2.600.561 3.113.343 3.676.8659.500.000 -484.164 -231.182 43.461 342.056 667.171 1.021.700 1.408.899 1.832.445 2.296.491 2.805.741 3.365.526

10.000.000 -772.212 -521.494 -249.225 46.878 369.378 721.157 1.105.464 1.525.964 1.986.801 2.492.664 3.048.87410.500.000 -1.062.058 -813.590 -543.677 -250.044 69.863 418.920 800.364 1.217.852 1.675.516 2.178.035 2.730.71411.000.000 -1.351.904 -1.105.686 -838.129 -546.966 -229.651 116.682 495.264 909.740 1.364.231 1.863.405 2.412.55511.500.000 -1.644.039 -1.400.068 -1.134.862 -846.161 -531.427 -187.800 187.940 599.430 1.050.781 1.546.648 2.092.31312.000.000 -1.942.491 -1.700.764 -1.437.897 -1.151.635 -839.447 -498.482 -125.524 283.052 731.350 1.224.016 1.766.31912.500.000 -2.240.944 -2.001.460 -1.740.931 -1.457.109 -1.147.468 -809.163 -438.989 -33.326 411.919 901.383 1.440.325

721.157 11,25% 12,00% 12,75% 13,50% 14,25% 15,00% 15,75% 16,50% 17,25% 18,00% 18,75%

7.500.000 995.584 1.225.640 1.461.007 1.701.784 1.948.070 2.198.460 2.454.372 2.716.094 2.983.730 3.257.388 3.537.1768.000.000 701.018 931.074 1.166.441 1.407.217 1.653.503 1.905.400 2.163.010 2.426.438 2.695.357 2.969.015 3.248.8038.500.000 406.451 636.507 871.874 1.112.650 1.358.936 1.610.833 1.868.444 2.131.872 2.401.222 2.676.602 2.958.1199.000.000 106.051 339.091 577.307 818.084 1.064.370 1.316.267 1.573.877 1.837.305 2.106.656 2.382.035 2.663.5539.500.000 -196.186 36.853 275.232 519.048 768.401 1.021.700 1.279.310 1.542.738 1.812.089 2.087.469 2.368.986

10.000.000 -498.424 -265.384 -27.006 216.810 466.164 721.157 981.892 1.248.172 1.517.522 1.792.902 2.074.41910.500.000 -809.013 -571.503 -329.243 -85.427 163.926 418.920 679.655 946.236 1.218.769 1.497.361 1.779.85311.000.000 -1.119.695 -882.184 -639.272 -390.857 -138.311 116.682 377.417 643.999 916.532 1.195.123 1.479.88111.500.000 -1.431.987 -1.192.866 -949.953 -701.539 -447.522 -187.800 75.180 341.761 614.294 892.886 1.177.64312.000.000 -1.751.358 -1.507.815 -1.260.635 -1.012.221 -758.204 -498.482 -232.951 38.492 312.057 590.648 875.40612.500.000 -2.070.729 -1.827.186 -1.578.125 -1.323.445 -1.068.885 -809.163 -543.633 -272.189 5.274 288.411 573.168

∆ Equipmen

t

SoCal Equity∆ Return on equity

∆ Increase in p

ower p

rices

SoCal Equity∆ Return on equity

∆ Equipmen

t

SoCal Equity∆ Increase in power prices