Page 1 Topic 9 : Solar Energy Solar energy is one proven source that can eventually meet the world’s energy needs for the long term. The amount of solar power reaching the Earth is about 170,000 TW . Approximately how many times greater is this power than the world’s energy consumption rate ? (a) 100 (b) 1,000 (c) 10,000
BAND THEORY OF SOLIDSTopic 9: Solar Energy
Solar energy is one proven source that can eventually meet the
world’s energy needs for the long term.
The amount of solar power reaching the Earth is about 170,000 TW.
Approximately how many times greater is this power than the world’s
energy consumption rate?
(a) 100 (b) 1,000 (c) 10,000
*
Contribution of Solar Energy
What percentage of total world energy consumption (2008) was
supplied by electrical power generation via
wind-solar-biomass-geothermal? (a) < 1 % (b) 3 % (c) 13 %
Wind–Solar–Biomass–Geothermal
Electrical Power generation 0.7%
*
For the breakdown of renewables, look at the top (purple) component
for electrical power generation using
wind/solar/biomass/geothermal.
This percentage does NOT include power generation using
hydroelectric power plants.
Hopefully, this pie chart puts into perspective the very small
contribution by wind/solar power generation at present, but it is
growing fast!
Data Source:
http://www.ren21.net/Portals/97/documents/GSR/REN21_GSR_2010_full_revised%20Sept2010.pdf
Sun’s Intensity at Earth
How does the sun's intensity at Mars compare to its intensity at
Earth?
(a) higher (b) same (c) lower
Sun
Earth
Mars
*
Note that the intensity is INVERSELY related to the distance r
squared from the light source.
Page *
Sun’s Intensity: Inner & Outer Planets
In a solar system far, far away the sun's intensity is 200 W/m2 for
a planet located a distance R away. What is the sun's intensity for
a planet located at a distance 5 R from the Sun? (Format = X)
5R
R
Sun
outer
sphere
inner
sphere
*
The RATIO of Intensity (outer) / Intensity (inner) = r(inner)^2 /
r(outer)^2 = R^2 / (5R)^2 = 1 / 25
The intensity at the outer planet is this ratio times the intensity
at the inner planet:
Intensity (outer) = (1/25) (200 W/m^2) = ?? W/m^2
Page *
Factor of 2 decrease because of Earth’s curved surface.
Factor of 2 decrease because 50% darkness.
Decreases due to clouds, etc.
IEarth = 1370 W/m2
IAverage = 235 W/m2
IMid-day ~ 1000 W/m2
*
The actual intensity measures the power per unit area incident on
an area oriented perpendicular to the incoming sunlight.
Page *
Light Bulb's Intensity
What is the intensity (W/m2) of a 100 W light bulb at a distance 5
cm from the bulb’s center? (Format = XXXX)
The intensity of this 100 W light bulb at a distance 5 cm from the
center is _________ than the sun's intensity at mid-day.
(a) higher (b) lower
*
Intensity = Power / 4(pi)r^2 where r = 5 cm or 0.05 m
Intensity = (100 W) / [ (4) (3.14) (0.05 m) (0.05 m) ]
Intensity = ?? W/m^2
Do not forget to convert the distance from the light bulb in
centimeters to meters by dividing by 100!
Page *
Sun’s Intensity: Annual Average in U.S.
Rank the cities from highest to lowest annual average solar
intensity.
(a) Denver (b) Detroit (c) Phoenix (d) Richmond
Is the annual average solar intensity of a city only determined by
its latitude? (a) yes (b) no
150 W/m2
>500 W/m2
*
The ranking of cities from highest to lowest solar intensity is:
Phoenix, Denver, Richmond, Detroit
Look at the cities of Denver and Richmond. Denver is located at a
latitude 2 degrees north of Richmond, but it has a higher annual
average solar intensity. This is due to factors such as sunnier
skies and a higher altitude with thinner atmosphere.
The picture shows the annual average sun intensity for surfaces
perpendicular to the sunlight.
Adapted from National Renewable Energy Laboratory.
Page *
Seasons
(a) Changing distance between the Earth and sun during year.
(b) Constant tilt angle of the Earth as it revolves around the
sun.
*
The seasons are caused by the constant tilt angle of the Earth with
respect to the solar system as the Earth travels around the
sun.
In the summer, the northern hemisphere is pointed toward the
sun.
In the winter, the northern hemisphere is pointed away from the
sun.
If the Earth had no tilt, then there would be no seasons.
Page *
N
S
Earth
Sun
N
S
What is the tilt of the Earth away from the vertical?
(a) 10.5º (b) 23.5º (c) 45.5º
Summer Solstice
*
The tilt of the Earth is more than 20 degrees and less than 30
degrees .
Page *
Seasons: Earth's Tilt and Sun's Location
In the Northern hemisphere, what is the Earth's orientation during
the winter solstice, spring or fall equinox, and summer
solstice?
(3-digit answer)
(1) North pole is tilted toward the Sun, making the sun appear
higher in the sky.
(2) North pole is tilted away from the Sun, making the sun appear
lower in the sky.
*
Page *
Winter Solstice (Northern Hemisphere)
During the winter solstice in Richmond (latitude = 37.5º), what is
the angle (yellow angle in picture) of the sun at noon from the
"vertical"?
(a) 14º (37.5º–23.5º) (b) 23.5º (c) 37.5º (d) 61º
(23.5º+37.5º)
Richmond
Equator
23.5°
*
Winter solstice in Richmond = Earth's tilt + latitude of Richmond
(Sun lowest in sky)
Page *
Spring or Fall Equinox
During the equinox in Richmond, what is the angle of the sun at
noon from the "vertical"?
(a) 14º (37.5º–23.5º) (b) 23.5º (c) 37.5º (d) 61º
(23.5º+37.5º)
Sun
Richmond
Equator
Equinox
Page *
Summer Solstice (Northern Hemisphere)
North Pole is tilted 23.5º toward from Sun and Sun is "high" in
sky.
In Richmond, what is the angle of the sun at noon from the
"vertical"?
(a) 14º (37.5º–23.5º) (b) 23.5º (c) 37.5º (d) 61º
(23.5º+37.5º)
37.5°
23.5°
Richmond
Equator
*
Summer solstice in Richmond = atitude of Richmond minus Earth's
tilt (Sun highest in sky)
Page *
Passive solar homes have south-facing windows with overhang, good
insulation, and a high thermal mass for heat storage.
During which seasons is the sun highest and lowest in the
sky?
(1) summer solstice (2) equinox (3) winter solstice
Summer
Sunlight
Winter
Sunlight
South
North
overhang
Look at the picture and refer to the previous slides.
This is why a passive solar home has an "overhang" above the
windows so that the sun only enters the windows in the winter when
it is low in the sky.
Page *
Which direction is south in this picture (taken at noon)?
(a) Left (b) Front (c) Right
LEFT
RIGHT
FRONT
Roof
Windows
Roof
Overhang
*
In this picture, the sun is shining into the roof windows from the
southern part of the sky.
This is the house that Dr. Baski's parents built in 1976 during the
energy "crisis“ at that time.
Page *
Solar THERMAL Power: Water Heaters
Hot-water heating is what percent of energy use in a typical U.S.
home? (a) 1% (b) 20% (c) 50%
What country requires that solar water heaters be installed for all
new homes and has the highest solar energy use per capita?
(a) U.S. (b) China (c) Israel
Rooftop hot-water heater.
*
Hot-water heating is typically 20% of the energy use for an
American home.
The country that uses the most solar energy PER CAPITA is Israel.
(population of ~7.5 million people)
Page *
VIDEO
Focus
sunlight
Emerged as a significant new power source during 2006 – 2010.
In early 2010, 0.7 GW of CSP in U.S. and Spain.
Main types: Dish, Power Tower, Linear Concentrator
Why are parabolic mirrors used in CSP systems?
(a) Mirrors spread sunlight over a larger region.
(b) Mirrors focus sunlight to a small region.
http://www.solarpaces.org/News/Projects/projects.htm
Parablic Dish Systems:
Parabolic dish systems consist of a parabolic-shaped point
focus concentrator in the form of a dish that reflects solar
radiation onto a receiver mounted at the focal point. These
concentrators are mounted on a structure with a two-axis tracking
system to follow the sun. The collected heat is typically utilized
directly by a heat engine mounted on the receiver moving with the
dish structure. Stirling and Brayton cycle engines are currently
favored for power conversion. Projects of modular systems have been
realized with total capacities up to 5 MWe. The modules have
maximum sizes of 50 kWe and have achieved peak efficiencies up to
30% net.
Power Tower Systems:
A power tower converts sunshine into clean electricity for the
world’s electricity grids. The technology utilizes many large,
sun-tracking mirrors (heliostats) to focus sunlight on a receiver
at the top of a tower. A heat transfer fluid heated in the receiver
is used to generate steam, which, in turn, is used in a
conventional turbine-generator to produce electricity.
Early power towers (such as the Solar One plant) utilized steam as
the heat transfer fluid; current US designs (including Solar Two,
pictured) utilize molten nitrate salt because of its superior heat
transfer and energy storage capabilities. Current European designs
use air as heat transfer medium because of its high temperature and
its good handability.
Individual commercial plants will be sized to produce anywhere from
50 to 200 MW of electricity.
Parabolic Trough Systems:
The sun's energy is concentrated by parabolically curved,
trough-shaped reflectors onto a receiver pipe running along the
inside of the curved surface. This energy heats oil flowing through
the pipe, and the heat energy is then used to generate electricity
in a conventional steam generator.
A collector field comprises many troughs in parallel rows aligned
on a north-south axis. This configuration enables the single-axis
troughs to track the sun from east to west during the day to ensure
that the sun is continuously focused on the receiver pipes.
Individual trough systems currently can generate about 80 megawatts
of electricity.
*
(a) 2 TW (b) 4 TW (c) 10 TW
What percentage of this total capacity was from solar PV?
(a) < 1 % (b) 5 % (c) 10 %
Data Source: IEA
*
Q1: Add up the electricity capacity for the various sources (coal,
gas, hydro, nuclear, renewables)
Q2: solar PV percentage = 100 x (8 GW Solar Capacity / Total
Capacity in GW) very small!!
Data Source: http://www.eia.doe.gov/iea/contents.html
Note: The actual average electrical power generated in 2006 was ~2
TW.
Page *
Photovoltaic cells use special materials called semiconductors to
directly convert light energy into electrical energy. (NO thermal
process!)
*
The most common semiconductor material today used in solar (or
photovoltaic = PV) cells is polycrystalline Si.
Page *
Silicon Solar Panels
If your house required an average 3 kW electrical power during the
day, then how many thousands of dollars would it cost to install
silicon solar panels to meet this need? (1-digit answer)
*
Installation cost = 3000 W x ($2/ 1 W) x (1/1000) ~ ?? thousands of
dollars (does not include labor!)
Page *
Semiconductors on the Periodic Table
On the periodic table, metals are blue and semiconductors are
red.
The elements lithium, zinc, silicon, and tellurium are:
(1) metals or (2) semiconductors (4-digit answer)
*
Find the color of the elements on the periodic table. All of the
listed elements will eventually be discussed in this class!
Taken from www.periodni.com/en/
Semiconductors are partially or "semi" conducting.
Unlike in metals, electrons in a semiconductor can only occupy
allowed energies, which are separated by unallowed energies known
as the "Energy Gap."
What energies should most electrons in a semiconductor have?
(a) Allowed lower energies
(b) Unallowed medium energies
(c) Allowed higher energies
*
Do electrons spontaneously drop down to lower energies or "get
excited" to higher energies.
Analogously, does a ball spontaneously roll down an incline to a
lower potential energy or roll up to a higher energy?
Page *
Semiconductor Energy Diagram
Normally, electrons fill up the lower energy "valence band" and
none are in the higher energy "conduction band".
Analogy: Cars in a two-level parking lot, where cars are electrons
and the parking deck levels are the lower and upper energy
bands.
Can electrons move in a full valence band? (a) yes (b) no
Analogy: Can cars move to new parking spots if all the spots are
filled?
Egap = energy "gap"
(electrons not allowed!)
*
Electrons cannot move if there are no "empty spaces" or holes for
them to move into!
Page *
"Negative" n-type Semiconductor
Dopants are impurity atoms that add electrons (or holes) to the
semiconductor to make it conducting!
Donor atoms add electrons to the conduction band (n-type).
Can electrons move in a partially filled conduction band in an
n-type semiconductor? (a) yes (b) no
negative electrons
n-type semiconductor
*
Electrons can move (or conduct) in a partially filled conduction
band where there are 'empty spaces'.
Page *
"Positive" p-type Semiconductor
Acceptor atoms remove electrons from the valence band, leaving
behind positive "holes" (p-type).
Can electrons move in a partially empty valence band in a p-type
semiconductor? (a) yes (b) no
Lower
Energy
Higher
Energy
Conduction
band
Valence
band
*
Electrons can move (or conduct) in a partially empty valence band
where there are 'empty spaces'.
Page *
Formation of p-n Junction
To form a solar cell, we need to make a junction between p-type
and
n-type semiconductors.
At the p-n junction below, the free electrons initially "diffuse"
or move _______ and the free holes move _________. (2-digit
answer)
(1) toward left side (p-type) (2) toward right side (n-type)
"free" electrons
*
When the p-n junction is initially formed, the 'free' electrons in
the n-type material on the right diffuse to the left (where there
initially are no electrons).
The 'free' holes in the p-type material on the left diffuse to the
right (where there initially are no holes).
Eventually, the free electrons and holes stop moving (due to an
opposing electric field that forms).
The junction then has a "voltage" like a battery.
Page *
Formation of p-n Junction
Eventually, the free electrons and holes stop moving and the p-n
junction has a "voltage" like a battery.
After the p-n junction forms, its left side is _______ and
its right side is ________. (2-digit answer)
(1) negative (2) positive
The left p-type side has extra negative charge (free
electrons).
The right n-type side has extra positive charge (free
'holes').
Notice how the bands are now slanted downward at the p-n
junction.
The left side is at a higher electron energy and the right side is
at a lower electron energy.
Page *
Add Light to Make Electricity!
If a photon of light has enough energy, it can then "kick" an
electron into the conduction band and leave behind a hole in the
valence band!
If this happens at the p-n junction, the electron moves ______
and
the hole moves _______, which creates electricity! (2-digit
answer)
(1) toward left side (p-type) (2) toward right side (n-type)
photon in
p-n Junction
*
Electrons roll "down" to the lower-energy, n-type side on the
right.
Holes "bubble up" to the p-type side on the left.
Note that the motion of holes is opposite in direction to the
motion of electrons, since they are opposite in charge.
Page *
Light comes in energy packets called photons with energy Ephoton
that is inversely related to the wavelength l of the light.
Energy of Light "Photons"
Remember that visible light has wavelengths of 400 to 750 nm.
*
Page *
Materials for Solar Cells: Si and CdTe
Today, the efficiencies of the best silicon and CdTe solar cells
are:
(1) less than 20% (2) more than 20% (2-digit answer)
Crystalline Si
Data from National Renewable Energy Laboratory located in Golden,
CO
Page *
Bandgap Energy of CdTe Solar Cell
Solar cells with a bandgap energy of 1.4 eV have optimum efficiency
for sunlight. CdTe solar cells have a bandgap energy of 1.5
eV.
What is the wavelength l (nm) of light having the minimum energy to
create ‘electron-hole’ pairs in CdTe? (Format = XXX)
This wavelength is: (a) infrared (b) visible (c) ultraviolet
*
Wavelength = hc / Ephoton = (1240 eV nm) / (1.5 eV ) = ?? nm
Remember that visible light is from 400 to 750 nm. Shorter
wavelengths are in the UV region and longer wavelengths are in the
IR region.
Page *
Cadmium Telluride (CdTe) Solar Panels
First Solar is a leading company that manufactures thin film CdTe
solar panels (2012: $2.7 billion sales for 1.9 GW capacity). This
annual capacity is approximately equivalent to the power generation
of:
(a) two windmills (b) two nuclear power plant
Why are thin film CdTe PV panels becoming popular?
(a) more efficient than Si (b) cheaper than Si
*
Information concerning the company First Solar is taken from their
website at www.firstsolar.com.
http://en.wikipedia.org/wiki/Cadmium_telluride_solar_cell
Cadmium telluride (CdTe) photovoltaics describes a photovoltaic
(PV) technology that is based on the use of cadmium telluride thin
film, a semiconductor layer designed to absorb and convert sunlight
into electricity.[1] Cadmium telluride PV is the first and only
thin film photovoltaic technology to surpass crystalline silicon PV
in cheapness for a significant portion of the PV market, namely in
multi-kilowatt systems.[1][2][3]
Since inception, the dominant solar cell technology in the
marketplace has been based on wafers of crystalline silicon. During
the same period, the idea of developing alternative, lower cost PV
technologies led to the consideration of thin films and
concentrators. Thin films are based on using thinner semiconductor
layers to absorb and convert sunlight; concentrators, on the idea
of replacing expensive semiconductors with lenses or mirrors. Both
reduce cost, in theory, by reducing the use of semiconductor
material. However, both faced critical challenges.
The first thin film technology to be extensively developed and
manufactured was amorphous silicon. However, this technology
suffers from low efficiencies and slow deposition rates (leading to
high capital costs) and has not become a market leader. Instead,
the PV market has grown to almost 4 gigawatts with wafer-based
crystalline silicon comprising almost 90% of sales.[4] Installation
trails production by a slight time lag, and the same source
estimates about 3 gigawatts were installed in 2007.
During this period, two other thin films continued in development
(cadmium telluride, and copper indium diselenide or CIS-alloys).
The latter is beginning to be produced in start-up volumes of 1–30
megawatts per year by individual companies and remains an unproven,
but promising market competitor due to very high, small-area cell
efficiencies approaching 20%.[5]
HISTORY
Research in CdTe dates back to the 1950s,[6][7][8][9][10][11]
because it was quickly identified as having a band gap (about 1.5
eV) almost perfectly matched to the distribution of photons in the
solar spectrum in terms of optimal conversion to electricity. A
simple heterojunction design evolved in which p-type CdTe was
matched with n-type cadmium sulfide (CdS). The cell was completed
by adding top and bottom contacts. Early leaders in CdS/CdTe cell
efficiencies were GE in the 1960s,[12] and then Kodak, Monosolar,
Matsushita, and Ametek.
By 1981, Kodak used close spaced sublimation (CSS) and made the
first 10% cells and first multi-cell devices (12 cells, 8%
efficiency, 30 cm2).[13] Monosolar[14] and Ametek[15] used
electrodeposition, a popular early method. Matsushita started with
screen printing but shifted in the 1990s to CSS. Cells of about 10%
sunlight-to-electricity efficiency were being made by the early
1980s at Kodak, Matsushita, Monosolar, and Ametek.[16]
An important step forward occurred when cells were being scaled-up
in size to make larger area products called modules. These products
require higher currents than small cells and it was found that an
additional layer, called a transparent conductive oxide (TCO),
could facilitate the movement of current across the top of the cell
(instead of a metal grid). One such TCO, tin oxide, was already
being applied to glass for other uses (thermally reflective
windows). Made more conductive for PV, tin oxide became and remains
the norm in CdTe PV modules.
Professor Ting L. Chu of Southern Methodist University and
subsequently of University of South Florida, Tampa, made
significant contributions to moving the efficiency of CdTe cells to
above 15% in 1992, a critical level of success in terms of
potential commercial competitiveness.[16] This was done when he
added an intervening or buffer layer to the TCO/CdS/CdTe stack and
then thinned the CdS to allow more light through. Chu used
resistive tin oxide as the buffer layer and then thinned the CdS
from several micrometres to under half a micrometre in thickness.
Thick CdS, as it was used in prior devices, blocked about 5 mA/cm2
of light, or about 20% of the light usable by a CdTe device. By
removing this loss while maintaining the other properties of the
device, Chu reached 15% efficiency in 1991, the first thin film to
do so, as verified at the National Renewable Energy
Laboratory(NREL).[16] Chu used CSS for depositing the CdTe. For his
achievements in taking CdTe from its status as “also-ran” to a
primary candidate for commercialization, some think of Ting L. Chu
as the key technologist in the history of CdTe development.
In the early 1990s, another set of entrants were active in CdTe
commercial development, but with mixed results.[16] A short-lived
company, Golden Photon replaced Photon Energy, when it was bought
by the Coors Company in 1992. Golden Photon, led by Scot Albright
and John Jordan, actually held the record for a short period for
the best CdTe module measured at NREL at 7.7% using a spray
deposition technique. Meanwhile Matsushita, BP Solar, and Solar
Cells Inc. were active. Matsushita claimed an 11% module efficiency
using CSS and then dropped out of the technology, perhaps due to
internal corporate pressures over cadmium. A similar efficiency and
fate eventually occurred at BP Solar. BP used electrodeposition
inherited from Monosolar by a circuitous route when it purchased
SOHIO. SOHIO had previously bought Monosolar. BP Solar however
never made a complete commitment to their CdTe technology despite
its achievements and dropped it in the early 2000s. Another
ineffective corporate evolution occurred at a European entrant,
Antec. Founded by CdTe pioneer Dieter Bonnet (who made cells in the
1960s), Antec was able to make about 7%-efficient modules, but went
bankrupt when it started producing commercially during a short,
sharp downturn in the market in 2002. Purchased from bankruptcy, it
never regained the technical traction needed to make further
progress. However, as of 2008 Antec does make and sell CdTe PV
modules.
There are a number of start-ups in CdTe today: Q-Cells' Calyxo
(Germany), GE’s PrimeStar Solar (Golden, Colorado), Arendi (Italy),
and Abound Solar (Fort Collins, Colorado). Including Antec, their
total production represents less than 70 megawatts per year.[17] In
February 2009, Roth & Rau announced to develop turnkey CdTe
production lines and launch the business before end of
2009.[18]
SCI and First Solar
The major commercial success to emerge from the turmoil of the
1990s was Solar Cells Incorporated (SCI). Founded in 1990 as an
outgrowth of a prior company, Glasstech Solar (founded 1984), led
by inventor/entrepreneur Harold McMaster,[19] it switched from
amorphous silicon to CdTe as a better solution to the higher-cost
crystalline silicon PV. McMaster championed CdTe for its high-rate,
high-throughput processing. Technical leadership came from a team
that included Jim Nolan, Rick Powell, Jim Foote, and Peter Meyers,
with consulting help from Ting Chu and Al Compaan (U. Toledo). SCI
started with an adaptation of the CSS method then shifted to a
vapor transport approach, inspired by Powell.[20] In February 1999,
McMaster sold the company to True North Partners, an investment arm
of the Walton family, owners of Wal-Mart.[21] John T. Walton joined
the Board of the new company, and Mike Ahearn of True North became
the CEO of the newly minted First Solar.
In its early years First Solar suffered setbacks, and initial
module efficiencies were modest, about 7%. Commercial product
became available in 2002. But production did not reach 25 megawatts
until 2005.[22] The company built an additional line in Perrysburg,
Ohio, then four lines in Germany, supported by the then substantial
German production incentives (about 50% of capital costs)[23]. In
2006 First Solar reached 75 MW of annual production[22] and
announced a further 16 lines in Malaysia. The more recently
announced lines have been operational ahead of schedule[24]. As of
2008, First Solar is producing at nearly half a gigawatt annual
rate,[22] and in 2006 and 2007 was among the largest PV module
manufacturers in the world.[25]
Issues
Solar Cell Efficiencies
Best cell efficiency has plateaued at 16.5% since 2001.[26] The
opportunity to increase current has been almost fully exploited,
but more difficult challenges associated with junction quality,
with properties of CdTe and with contacting have not been as
successful. However, until recently the number of active scientists
in CdTe PV was small.[27] Improved doping of CdTe and increased
understanding of key processing steps (e.g., cadmium chloride
recrystallization and contacting) are key to progress. Since CdTe
has the optimal band gap for single-junction devices, it may be
expected that efficiencies close to exceeding 20% (such as already
shown in CIS alloys) should be achievable in practical CdTe cells.
Modules of 15% would then be possible.
Process optimization
Process optimization allows greater throughput at smaller cost.
Typical improvements are broader substrates (since capital costs
scale sublinearly, and installation costs can be reduced), thinner
layers (to save material, electricity, and throughput time), and
better material utilization (to save material and cleaning costs).
Making components rather than buying them is also a traditional way
for great manufacturers to shave costs. Today’s CdTe module costs
are about $110/m2 (normalized to a square meter).[28] Costs are
expected to reduce to $75/m2.
Thus a practical, long-term (10–20 year) goal for CdTe modules
resulting from combining cost and efficiency goals would be $75 per
150 watts, or about $0.5 per watt.[29] With commodity-like margins
and combined with balance-of-system (BOS) costs, installed systems
near $1.5/W seem achievable. With Southern California sunlight,
this would be in the 6 to 8 US cents per kWh range (e.g., based on
economic and other assumptions used in algorithms such as in the
United States Department of Energy and NREL's Solar Advisory
Model).[30]
Tellurium supply
Perhaps the most subtle and least understood problem with CdTe PV
is the supply of tellurium. Tellurium (Te) is an element not
currently used for many applications. Only a small amount,
estimated to be about 800 metric tons [31] per year, is available.
According to USGS, global tellurium production in 2007 was 135
metric tons[32]. Most of it comes as a by-product of copper, with
smaller byproduct amounts from lead and gold. One gigawatt (GW) of
CdTe PV modules would require about 93 metric tons (at current
efficiencies and thicknesses),[33] so this seems like a limiting
factor. However, because tellurium has had so few uses, it has not
been the focus of geologic exploration. In the last decade, new
supplies of tellurium-rich ores have been located, e.g., in Xinju,
China.[34] Since CdTe is now regarded as an important technology in
terms of PV’s future impact on global energy and environment, the
issue of tellurium availability is significant. Recently,
researchers have added an unusual twist – astrophysicists identify
tellurium as the most abundant element in the universe with an
atomic number over 40.[35][36] This surpasses, e.g., heavier
materials like tin, bismuth, and lead, which are common.
Researchers have shown that well-known undersea ridges (which are
now being evaluated for their economic recoverability) are rich in
tellurium and by themselves could supply more tellurium than we
could ever use for all of our global energy.[36][37] It is not yet
known whether this undersea tellurium is recoverable, nor whether
there is much more tellurium elsewhere that can be recovered.
Other issues
Cadmium
Another issue frequently mentioned, is the use and recycling of the
extremely toxic metal cadmium, one of the six most toxic materials
banned by European Union's RoHS regulation. According to First
Solar's annual report[38], the CdTe solar panel is not in RoHS
compliance, not listed in the exemption product list, but not
currently listed in the restricted product list either. So the
product's future RoHS compliance status is uncertain[39]. First
Solar has a self-imposed recycling regimen that provides a
deposited amount (<$0.05 a watt) that covers the costs of
transport and recycling of the module at the end of its useful
life.[40][41] Recycling has been fully demonstrated on scrap
modules. In a validating test, Vasilis Fthenakis of the Brookhaven
National Laboratory showed that the glass plates surrounding CdTe
material sandwiched between them (as they are in all commercial
modules) seal during a fire and do not allow any cadmium
release.[42] All other uses and exposures related to cadmium are
minor and similar in kind and magnitude to exposures from other
materials in the broader PV value chain, e.g., to toxic gases, lead
solder, or solvents (most of which are not used in CdTe
manufacturing).[43]
Price vulnerability
A subtle issue with CdTe and with all thin films in relation to
greater efficiency PV module technologies is the potential impact
of commodity inflation. Greater efficiency modules incur a better
balance of system commodity cost per unit output. Thus such
inflation can have a greater percentage impact on system cost. This
is another reason that continued efficiency improvements are
important.
Solar tracking
Almost all thin film photovoltaic module systems to-date have been
non-solar tracking, because the output of modules has been too low
to offset tracker capital and operating costs. But relatively
inexpensive single-axis tracking systems can add 25% output per
installed watt.[30] This is climate-dependent. Tracking also
produces a smoother output plateau around midday, allowing
afternoon peaks to be met.
Market viability
Success of cadmium telluride PV has been due to the low cost
achievable with the CdTe technology, made possible by combining
adequate efficiency with lower module area costs.[25] Direct
manufacturing cost for CdTe PV modules has reached $1.12 ea
watt,[44] and capital cost per new watt of capacity is near $0.9
per watt (including land and buildings).[45] However, module cost
alone is not enough to assure the lowest installed system price.
Thin films, including CdTe, are less efficient than most wafer
silicon modules. Typical wafer silicon modules are 13% to 20%
efficient, while the best CdTe modules were about 10.7% efficient;
recent modules produced at First Solar and measured by NREL have
shown CdTe modules with efficiencies at 12.5% or greater. Many
components of an installed PV system (e.g., support structures,
installation labor, land) scale with system area; and
less-efficient modules require more area to produce the same output
(all other things being equal). The impact of area-related costs on
CdTe systems is about $0.5 per watt of extra cost.
Notable systems
Recent installations of large CdTe PV systems by First Solar
confirm the competitiveness of CdTe PV with other forms of solar
energy and how close it is to being competitive with conventional
natural gas peakers:
A 40MW system being installed by juwi group in Waldpolenz Solar
Park, Germany: at the time of its announcement, it was both the
largest planned and lowest cost PV system in the world. The price
of 3.25 euros translated then (when the euro was equal to US$1.3)
to $4.2/watt, much lower than any other known system.[46]
A 7.5-megawatt system to be installed in Blythe, CA, where the
California Public Utilities Commission has accepted a 12 US cent
per kWh power purchase agreement with First Solar (after the
application of all incentives).[47] Defined in California as the
"Market Referent Price," this is the price the PUC will pay for any
daytime peaking power source, e.g., natural gas. Although PV
systems are intermittent and not dispatchable the way natural gas
is, natural gas generators have an ongoing fuel price risk that PV
does not have.
A contract for two megawatts of rooftop installations with Southern
California Edison, where the SCE program is designed to install 250
megawatts at a total cost of $875M (averaging $3.5/watt), after
incentives.[48]
Page *
Manufacturing of CdTe Solar Panels
CdTe solar panels are more cost effective compared to silicon
because the CdTe is a thin film, vs. the bulk material used for
silicon.
What is the thickness of a CdTe film compared to a piece of
paper?
(a) 2% paper thickness (b) 20% (c) 100%
Glass
Evaporation
*
A piece of paper is about 100 microns thick and the CdTe film is
about 2 microns thick.
http://en.wikipedia.org/wiki/Cadmium_telluride_solar_cell
Page *
Manufacturing of First Solar CdTe Solar Panels
A production ‘line’ produces ~1,000 panels (70 W each) per day.
What is the PV power capacity produced by one ‘line’ in one
year?
(a) 2.5 MW (b) 25 MW (c) 250 MW
What is equivalent power capacity in number of windmills?
*
(70 W / panel) x (1000 panels / day) x 376 days x (1 MW / 10^6 W) =
?? MW / year
All information concerning the company First Solar is taken from
their website at www.firstsolar.com.
Page *
Cost of First Solar CdTe Solar Panels
Assuming a cost of $1/Watt for CdTe solar panels, how much would it
cost in thousands of dollars to buy the panels for a 3-kW
home?
(1-digit answer)
*
A similar calculation was done on an earlier slide for silicon
solar panels.
Current price (2011): $0.75 /Watt First Solar (CdTe).
Page *
0 GW
10 GW
20 GW
30 GW
40 GW
50 GW
60 GW
70 GW
The lower prices is due to a large increase in supply
How much solar manufacturing capacity is available in 2012?
(a) 10 GW (b) 30 GW
(c) 70 GW (d) 100 GW
The lower prices have put solar companies under pressure.
Stock Price for First Solar
08
09
10
11
12
$310
$24
*
Information concerning the company First Solar is taken from their
website at www.firstsolar.com.
http://en.wikipedia.org/wiki/Cadmium_telluride_solar_cell
Cadmium telluride (CdTe) photovoltaics describes a photovoltaic
(PV) technology that is based on the use of cadmium telluride thin
film, a semiconductor layer designed to absorb and convert sunlight
into electricity.[1] Cadmium telluride PV is the first and only
thin film photovoltaic technology to surpass crystalline silicon PV
in cheapness for a significant portion of the PV market, namely in
multi-kilowatt systems.[1][2][3]
Since inception, the dominant solar cell technology in the
marketplace has been based on wafers of crystalline silicon. During
the same period, the idea of developing alternative, lower cost PV
technologies led to the consideration of thin films and
concentrators. Thin films are based on using thinner semiconductor
layers to absorb and convert sunlight; concentrators, on the idea
of replacing expensive semiconductors with lenses or mirrors. Both
reduce cost, in theory, by reducing the use of semiconductor
material. However, both faced critical challenges.
The first thin film technology to be extensively developed and
manufactured was amorphous silicon. However, this technology
suffers from low efficiencies and slow deposition rates (leading to
high capital costs) and has not become a market leader. Instead,
the PV market has grown to almost 4 gigawatts with wafer-based
crystalline silicon comprising almost 90% of sales.[4] Installation
trails production by a slight time lag, and the same source
estimates about 3 gigawatts were installed in 2007.
During this period, two other thin films continued in development
(cadmium telluride, and copper indium diselenide or CIS-alloys).
The latter is beginning to be produced in start-up volumes of 1–30
megawatts per year by individual companies and remains an unproven,
but promising market competitor due to very high, small-area cell
efficiencies approaching 20%.[5]
HISTORY
Research in CdTe dates back to the 1950s,[6][7][8][9][10][11]
because it was quickly identified as having a band gap (about 1.5
eV) almost perfectly matched to the distribution of photons in the
solar spectrum in terms of optimal conversion to electricity. A
simple heterojunction design evolved in which p-type CdTe was
matched with n-type cadmium sulfide (CdS). The cell was completed
by adding top and bottom contacts. Early leaders in CdS/CdTe cell
efficiencies were GE in the 1960s,[12] and then Kodak, Monosolar,
Matsushita, and Ametek.
By 1981, Kodak used close spaced sublimation (CSS) and made the
first 10% cells and first multi-cell devices (12 cells, 8%
efficiency, 30 cm2).[13] Monosolar[14] and Ametek[15] used
electrodeposition, a popular early method. Matsushita started with
screen printing but shifted in the 1990s to CSS. Cells of about 10%
sunlight-to-electricity efficiency were being made by the early
1980s at Kodak, Matsushita, Monosolar, and Ametek.[16]
An important step forward occurred when cells were being scaled-up
in size to make larger area products called modules. These products
require higher currents than small cells and it was found that an
additional layer, called a transparent conductive oxide (TCO),
could facilitate the movement of current across the top of the cell
(instead of a metal grid). One such TCO, tin oxide, was already
being applied to glass for other uses (thermally reflective
windows). Made more conductive for PV, tin oxide became and remains
the norm in CdTe PV modules.
Professor Ting L. Chu of Southern Methodist University and
subsequently of University of South Florida, Tampa, made
significant contributions to moving the efficiency of CdTe cells to
above 15% in 1992, a critical level of success in terms of
potential commercial competitiveness.[16] This was done when he
added an intervening or buffer layer to the TCO/CdS/CdTe stack and
then thinned the CdS to allow more light through. Chu used
resistive tin oxide as the buffer layer and then thinned the CdS
from several micrometres to under half a micrometre in thickness.
Thick CdS, as it was used in prior devices, blocked about 5 mA/cm2
of light, or about 20% of the light usable by a CdTe device. By
removing this loss while maintaining the other properties of the
device, Chu reached 15% efficiency in 1991, the first thin film to
do so, as verified at the National Renewable Energy
Laboratory(NREL).[16] Chu used CSS for depositing the CdTe. For his
achievements in taking CdTe from its status as “also-ran” to a
primary candidate for commercialization, some think of Ting L. Chu
as the key technologist in the history of CdTe development.
In the early 1990s, another set of entrants were active in CdTe
commercial development, but with mixed results.[16] A short-lived
company, Golden Photon replaced Photon Energy, when it was bought
by the Coors Company in 1992. Golden Photon, led by Scot Albright
and John Jordan, actually held the record for a short period for
the best CdTe module measured at NREL at 7.7% using a spray
deposition technique. Meanwhile Matsushita, BP Solar, and Solar
Cells Inc. were active. Matsushita claimed an 11% module efficiency
using CSS and then dropped out of the technology, perhaps due to
internal corporate pressures over cadmium. A similar efficiency and
fate eventually occurred at BP Solar. BP used electrodeposition
inherited from Monosolar by a circuitous route when it purchased
SOHIO. SOHIO had previously bought Monosolar. BP Solar however
never made a complete commitment to their CdTe technology despite
its achievements and dropped it in the early 2000s. Another
ineffective corporate evolution occurred at a European entrant,
Antec. Founded by CdTe pioneer Dieter Bonnet (who made cells in the
1960s), Antec was able to make about 7%-efficient modules, but went
bankrupt when it started producing commercially during a short,
sharp downturn in the market in 2002. Purchased from bankruptcy, it
never regained the technical traction needed to make further
progress. However, as of 2008 Antec does make and sell CdTe PV
modules.
There are a number of start-ups in CdTe today: Q-Cells' Calyxo
(Germany), GE’s PrimeStar Solar (Golden, Colorado), Arendi (Italy),
and Abound Solar (Fort Collins, Colorado). Including Antec, their
total production represents less than 70 megawatts per year.[17] In
February 2009, Roth & Rau announced to develop turnkey CdTe
production lines and launch the business before end of
2009.[18]
SCI and First Solar
The major commercial success to emerge from the turmoil of the
1990s was Solar Cells Incorporated (SCI). Founded in 1990 as an
outgrowth of a prior company, Glasstech Solar (founded 1984), led
by inventor/entrepreneur Harold McMaster,[19] it switched from
amorphous silicon to CdTe as a better solution to the higher-cost
crystalline silicon PV. McMaster championed CdTe for its high-rate,
high-throughput processing. Technical leadership came from a team
that included Jim Nolan, Rick Powell, Jim Foote, and Peter Meyers,
with consulting help from Ting Chu and Al Compaan (U. Toledo). SCI
started with an adaptation of the CSS method then shifted to a
vapor transport approach, inspired by Powell.[20] In February 1999,
McMaster sold the company to True North Partners, an investment arm
of the Walton family, owners of Wal-Mart.[21] John T. Walton joined
the Board of the new company, and Mike Ahearn of True North became
the CEO of the newly minted First Solar.
In its early years First Solar suffered setbacks, and initial
module efficiencies were modest, about 7%. Commercial product
became available in 2002. But production did not reach 25 megawatts
until 2005.[22] The company built an additional line in Perrysburg,
Ohio, then four lines in Germany, supported by the then substantial
German production incentives (about 50% of capital costs)[23]. In
2006 First Solar reached 75 MW of annual production[22] and
announced a further 16 lines in Malaysia. The more recently
announced lines have been operational ahead of schedule[24]. As of
2008, First Solar is producing at nearly half a gigawatt annual
rate,[22] and in 2006 and 2007 was among the largest PV module
manufacturers in the world.[25]
Issues
Solar Cell Efficiencies
Best cell efficiency has plateaued at 16.5% since 2001.[26] The
opportunity to increase current has been almost fully exploited,
but more difficult challenges associated with junction quality,
with properties of CdTe and with contacting have not been as
successful. However, until recently the number of active scientists
in CdTe PV was small.[27] Improved doping of CdTe and increased
understanding of key processing steps (e.g., cadmium chloride
recrystallization and contacting) are key to progress. Since CdTe
has the optimal band gap for single-junction devices, it may be
expected that efficiencies close to exceeding 20% (such as already
shown in CIS alloys) should be achievable in practical CdTe cells.
Modules of 15% would then be possible.
Process optimization
Process optimization allows greater throughput at smaller cost.
Typical improvements are broader substrates (since capital costs
scale sublinearly, and installation costs can be reduced), thinner
layers (to save material, electricity, and throughput time), and
better material utilization (to save material and cleaning costs).
Making components rather than buying them is also a traditional way
for great manufacturers to shave costs. Today’s CdTe module costs
are about $110/m2 (normalized to a square meter).[28] Costs are
expected to reduce to $75/m2.
Thus a practical, long-term (10–20 year) goal for CdTe modules
resulting from combining cost and efficiency goals would be $75 per
150 watts, or about $0.5 per watt.[29] With commodity-like margins
and combined with balance-of-system (BOS) costs, installed systems
near $1.5/W seem achievable. With Southern California sunlight,
this would be in the 6 to 8 US cents per kWh range (e.g., based on
economic and other assumptions used in algorithms such as in the
United States Department of Energy and NREL's Solar Advisory
Model).[30]
Tellurium supply
Perhaps the most subtle and least understood problem with CdTe PV
is the supply of tellurium. Tellurium (Te) is an element not
currently used for many applications. Only a small amount,
estimated to be about 800 metric tons [31] per year, is available.
According to USGS, global tellurium production in 2007 was 135
metric tons[32]. Most of it comes as a by-product of copper, with
smaller byproduct amounts from lead and gold. One gigawatt (GW) of
CdTe PV modules would require about 93 metric tons (at current
efficiencies and thicknesses),[33] so this seems like a limiting
factor. However, because tellurium has had so few uses, it has not
been the focus of geologic exploration. In the last decade, new
supplies of tellurium-rich ores have been located, e.g., in Xinju,
China.[34] Since CdTe is now regarded as an important technology in
terms of PV’s future impact on global energy and environment, the
issue of tellurium availability is significant. Recently,
researchers have added an unusual twist – astrophysicists identify
tellurium as the most abundant element in the universe with an
atomic number over 40.[35][36] This surpasses, e.g., heavier
materials like tin, bismuth, and lead, which are common.
Researchers have shown that well-known undersea ridges (which are
now being evaluated for their economic recoverability) are rich in
tellurium and by themselves could supply more tellurium than we
could ever use for all of our global energy.[36][37] It is not yet
known whether this undersea tellurium is recoverable, nor whether
there is much more tellurium elsewhere that can be recovered.
Other issues
Cadmium
Another issue frequently mentioned, is the use and recycling of the
extremely toxic metal cadmium, one of the six most toxic materials
banned by European Union's RoHS regulation. According to First
Solar's annual report[38], the CdTe solar panel is not in RoHS
compliance, not listed in the exemption product list, but not
currently listed in the restricted product list either. So the
product's future RoHS compliance status is uncertain[39]. First
Solar has a self-imposed recycling regimen that provides a
deposited amount (<$0.05 a watt) that covers the costs of
transport and recycling of the module at the end of its useful
life.[40][41] Recycling has been fully demonstrated on scrap
modules. In a validating test, Vasilis Fthenakis of the Brookhaven
National Laboratory showed that the glass plates surrounding CdTe
material sandwiched between them (as they are in all commercial
modules) seal during a fire and do not allow any cadmium
release.[42] All other uses and exposures related to cadmium are
minor and similar in kind and magnitude to exposures from other
materials in the broader PV value chain, e.g., to toxic gases, lead
solder, or solvents (most of which are not used in CdTe
manufacturing).[43]
Price vulnerability
A subtle issue with CdTe and with all thin films in relation to
greater efficiency PV module technologies is the potential impact
of commodity inflation. Greater efficiency modules incur a better
balance of system commodity cost per unit output. Thus such
inflation can have a greater percentage impact on system cost. This
is another reason that continued efficiency improvements are
important.
Solar tracking
Almost all thin film photovoltaic module systems to-date have been
non-solar tracking, because the output of modules has been too low
to offset tracker capital and operating costs. But relatively
inexpensive single-axis tracking systems can add 25% output per
installed watt.[30] This is climate-dependent. Tracking also
produces a smoother output plateau around midday, allowing
afternoon peaks to be met.
Market viability
Success of cadmium telluride PV has been due to the low cost
achievable with the CdTe technology, made possible by combining
adequate efficiency with lower module area costs.[25] Direct
manufacturing cost for CdTe PV modules has reached $1.12 ea
watt,[44] and capital cost per new watt of capacity is near $0.9
per watt (including land and buildings).[45] However, module cost
alone is not enough to assure the lowest installed system price.
Thin films, including CdTe, are less efficient than most wafer
silicon modules. Typical wafer silicon modules are 13% to 20%
efficient, while the best CdTe modules were about 10.7% efficient;
recent modules produced at First Solar and measured by NREL have
shown CdTe modules with efficiencies at 12.5% or greater. Many
components of an installed PV system (e.g., support structures,
installation labor, land) scale with system area; and
less-efficient modules require more area to produce the same output
(all other things being equal). The impact of area-related costs on
CdTe systems is about $0.5 per watt of extra cost.
Notable systems
Recent installations of large CdTe PV systems by First Solar
confirm the competitiveness of CdTe PV with other forms of solar
energy and how close it is to being competitive with conventional
natural gas peakers:
A 40MW system being installed by juwi group in Waldpolenz Solar
Park, Germany: at the time of its announcement, it was both the
largest planned and lowest cost PV system in the world. The price
of 3.25 euros translated then (when the euro was equal to US$1.3)
to $4.2/watt, much lower than any other known system.[46]
A 7.5-megawatt system to be installed in Blythe, CA, where the
California Public Utilities Commission has accepted a 12 US cent
per kWh power purchase agreement with First Solar (after the
application of all incentives).[47] Defined in California as the
"Market Referent Price," this is the price the PUC will pay for any
daytime peaking power source, e.g., natural gas. Although PV
systems are intermittent and not dispatchable the way natural gas
is, natural gas generators have an ongoing fuel price risk that PV
does not have.
A contract for two megawatts of rooftop installations with Southern
California Edison, where the SCE program is designed to install 250
megawatts at a total cost of $875M (averaging $3.5/watt), after
incentives.[48]
Page *
Total Price of Installing Solar
What percentage of the total cost of installing a solar array is
due to the solar cells in the U.S, and Germany? (2-digit
answer)
(a) 5% (b) 15% (c) 40% (d) 60%
4 kW installation.
Solar Photovoltaic Plant in Nevada
El Dorado Solar PV plant with 167,000 panels (~60 W each) on 80
acres for a maximum power output of 10 MW.
This PV plant is approximately equivalent to how many
windmills?
(a) 10 (b) 100 (c) 1,000
The panels are tilted toward which part of the sky?
(a) Northern (b) Southern
*
Q1: Refer back to your notes for the typical power of a large
windmill.
Q2: If you are in the Northern hemisphere, in what part of the sky
is the sun located?
http://www.semprageneration.com/eds.htm
El Dorado Energy Solar
In December 2008, Sempra Generation completed the initial phase of
construction on its first large-scale solar power development, a
10-megawatt (MW) thin-film, photovoltaic (PV) solar-cell
installation using technology supplied by First Solar, the world's
leading manufacturer of this technology.
El Dorado Solar is the largest thin-film solar technology operation
in North America. It is located on 80-acres of a remote section of
Boulder City, Nev., near the existing 480 MW El Dorado Energy
natural gas-fired power plant. Sempra Generation is considering a
future expansion of the solar power project.
It generates clean, emissions-free solar power during periods of
peak electric demand throughout the region without the use of
water. The project illustrates Sempra Generation's commitment to
clean, renewable power development.
SAN DIEGO, CA--(Marketwire - December 22, 2008) - Sempra
Generation, a subsidiary of Sempra Energy (NYSE: SRE ), today
announced the completion of the company's first solar energy
project, a 10-megawatt (MW) photovoltaic power-generation facility
adjacent to the company's existing 480-megawatt El Dorado Energy
power plant near Boulder City, Nev., about 40 miles southeast of
Las Vegas.
The El Dorado Energy Solar project is the largest operational
thin-film, solar-power project in North America. Construction began
in July 2008, and involved the installation of more than 167,000
solar modules on 80 acres of desert property designated as a
renewable energy zone and leased from Boulder City.
Sempra Generation also announced it has entered into a 20-year
power purchase agreement for the new project's entire output with
Pacific Gas and Electric (PG&E), the utility serving northern
and central California. The contract is subject to approval by the
California Public Utilities Commission.
At peak production El Dorado Energy Solar will generate enough
electricity to power approximately 6,400 homes.
"This is a significant step in the development and deployment of
renewable solar power," said Michael W. Allman, president and chief
executive officer of Sempra Generation. "It reflects the commitment
by Sempra Generation and western U.S. utilities to meet the
challenges posed by climate change with reliable, renewable energy.
The size and scope of this new solar generation facility clearly
demonstrates that we can build projects on a scale that helps
utilities meet their renewable energy goals."
The project's solar modules employ an advanced thin-film
semiconductor technology to convert sunlight into electricity
without air emissions or water use. These modules will generally
produce more electricity under real-world conditions than
conventional solar modules with similar power ratings.
"The El Dorado Energy Solar facility will be the first of our
contracted solar projects to come online," said Jack Keenan, chief
operating officer for PG&E. "We are pleased to partner with
Sempra Generation as we add renewable resources to our power mix
and continue to provide some of the cleanest energy in the
nation."
Additional expansion phases of the project are under
consideration.
Unlike some solar power projects, El Dorado Energy's solar power
plant will not use water or other liquids in the power-generation
process. This water conservation feature makes the project
especially suitable to the arid U.S. Southwest. As with other solar
projects, the new Sempra Generation facility will generate
electricity during the day when customer demand peaks.
Arizona-based First Solar (NASDAQ: FSLR ) was the engineering,
procurement and construction contractor for the project and is
charged with monitoring and maintaining the plant.
Formed in 1999, First Solar is a worldwide industry leader in
thin-film photovoltaic solar-module manufacturing with 2007
revenues of more than $500 million.
Page *
3TW
"Footprint" for Solar Photovoltaic to Power U.S.
To supply 3 TW using solar photovoltaic power plants, the land
"footprint" would be a substantial fraction of New Mexico.
What are some issues with solar energy?
see calculation in Appendix
Is this area "footprint" reasonable? What happens at night?
Where is the solar intensity highest in the U.S.? Is that close to
major population centers?
(
)
gth
ometers