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DEV A F Ebere CHUKWUAGU .M. IFEANYI PG/M.ENG/12/64249 VELOPMENT OF A POWER MANAG ALGORITHM FOR ELECTRICAL PO NETWORK FACULTY OF ELECTRICAL ENGINE DEPARTMENT OF ELECTRIC ENGINEERING Omeje Digitally Signed by: Conte DN : CN = Webmaster’s n O= University of Nigeria, OU = Innovation Centre i GEMENT OWER EERING CAL ent manager’s Name name , Nsukka

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Page 1: CHUKWUAGU .M. IFEANYI - University of Nigeria, Nsukka · CHUKWUAGU .M. IFEANYI PG/M.ENG/12/64249 NETWORK OF ELECTRICAL ENGINEERING DEPARTMENT OF ELECTRICAL ... Distributed Interruptible

DEVELOPMENT OF A POWER MANAGEMENT ALGORITHM FOR ELECTRICAL POWER

FACULTY

Ebere Omeje

CHUKWUAGU .M. IFEANYI

PG/M.ENG/12/64249

DEVELOPMENT OF A POWER MANAGEMENT ALGORITHM FOR ELECTRICAL POWER

NETWORK

FACULTY OF ELECTRICAL ENGINEERING

DEPARTMENT OF ELECTRICAL ENGINEERING

Ebere Omeje Digitally Signed by: Conte

DN : CN = Webmaster’s name

O= University of Nigeria, Nsukka

OU = Innovation Centre

i

DEVELOPMENT OF A POWER MANAGEMENT ALGORITHM FOR ELECTRICAL POWER

OF ELECTRICAL ENGINEERING

DEPARTMENT OF ELECTRICAL

Digitally Signed by: Content manager’s Name

DN : CN = Webmaster’s name

O= University of Nigeria, Nsukka

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DEVELOPMENT OF A POWER MANAGEMENT ALGORITHM FOR ELECTRICAL POWER NETWORK

BY

CHUKWUAGU .M. IFEANYI

PG/M.ENG/12/64249

A PROJECT REPORT SUBMITTED TO THE DEPARTMENT OF ELECTRICAL ENGINEERING, UNIVERSITY OF NIGERIA, NSUKKA

IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER OF ENGINEERING (M.ENG)

IN ELECTRICAL ENGINEERING

DEPARTMENT OF ELECTRICAL ENGINEERING UNIVERSITY OF NIGERIA,

NSUKKA

SUPERVISOR: VEN. PROF. T.C. MADUEME

DECEMBER, 2015

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APPROVAL PAGE

Development of a power management Algorithm for electrical power network

BY

CHUKWUAGU M. IFEANYI

PG/M. ENG /12/64249

A PROJECT REPORT SUBMITTED TO THE DEPARTMENT OF ELECTRICAL ENGINEERING, UNIVERSITY OF NIGERIA, NSUKKA

IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER OF ENGINEERING (M.ENG)

IN ELECTRICAL ENGINEERING

Chukwuagu M. Ifeanyi ______________ ______________ (Student) Signature Date Engr. Prof. T.C. Madueme ______________ ______________ (Project Supervisor) Signature Date Engr. Prof. E.C. Ejiogu ______________ ______________ (Head of Department) Signature Date Engr. Prof. M.O. Omoigui ______________ ______________ (External Examiner) Signature Date Engr. Prof. S. E. Obe _______________ ______________ (Faculty PG Rep.) Signature Date

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CERTIFICATION

This is to certify that this project work titled “DEVELOPMENT OF A

POWER MANAGEMENT ALGORITHM FOR ELECTRICAL POWER

NETWORK” was carried out by CHUKWUAGU, MONDAY IFEANYI,

WITH REG. NO.: PG/M. ENG /12/64249 in the Department of Electrical

Engineering, University of Nigeria, Nsukka and meets the regulations

governing the Award of Degree of Master of Engineering (M.Eng) of the

University of Nigeria, Nsukka.

Engr. Prof. T.C. Madueme ______________ ______________ (Project Supervisor) Signature Date Engr. Prof. E.C. Ejiogu ______________ ______________ (Head of Department) Signature Date Engr. Prof. M.O. Omoigui ______________ ______________ (External Examiner) Signature Date Engr. Prof. S. E. Obe _______________ ______________ (Faculty PG Rep.) Signature Date

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DEDICATION

This project is dedicated to God Almighty.

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ACKNOWLEDGMENT My profound gratitude to God Almighty for his providence in a special

way, I give great thanks to our lecturers in the Department of Electrical

Engineering, University of Nigeria Nsukka and most especially my able an

erudite supervisor, Prof. T.C Madueme, of his expanse wealth of knowledge.

Also I gratefully acknowledge the efforts of my parents Mr. and Mrs. Felix

Chukwuagu and my guardians Mr. and Mrs. F.I Ukoha, relations, friends,

Nwachukwu Nwamaka, Ebubechukwu Onyido, and Chukwudubem Onyido and

all who contributed in one way or the other to see that this project and my study

are realized. I say thank you and may God bless you.

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ABSTRACT

This project work is aimed at developing an efficient Algorithm for the

management of Electric Power network using fuzzy logic. The fuzzy logic

model functions as a system operator in making decision for load shedding and

transfer switching. The new technique uses the system data frequency variation,

load variation and voltage variation and the experience of the system operators

to formulate fuzzy rules, which are then simulated using fuzzy logic toolbox in

MATLAB.

The fuzzy controller for the load shedding management of power system, was

modeled and developed. Data collected from the New Haven Electric Power

Distribution Substation was used to formulate the fuzzy logic interference rules.

Simulation results indicates a remarkable improvement in the performance of

the load shedding management at the power plants. Using the fuzzy controller

the delay in load shedding transfer switching was reduced from 600 s to

0.02316 s, representing 99.99% reduction in load shedding transfer switching.

The fuzzy logic controller achieved a power management efficiency of 90.57%.

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TABLE OF CONTENTS

Title page - - - - - - - - - i

Approval Page - - - - - - - - - ii

Certification - - - - - - - - - iii

Dedication - - - - - - - - - - iv

Acknowledgment - - - - - - - - - v

Abstract - - - - - - - - - - vi

Table of contents - - - - - - - - - vii

List of Figures - - - - - - - - - x

List of tables - - - - - - - - - xi

List of abbreviation - - - - - - - - xii

CHAPTER ONE: INTRODUCTION

1.1 Background - - - - - - - - - 1

1.2 Statement of the Problem - - - - - - 3

1.3 Objective of the Study - - - - - - - 4

1.4 The Scope of the Study - - - - - - - 4

1.5 Significance of the Study - - - - - - 5

1.6 Organization of the Study - - - - - - 5

CHAPTER TWO: LITERATURE REVIEW

2.1 Load Shedding System - - - - - - - 8

2.2 Power Management by Energy Harvesting System - - - 8

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2.3 Interface Circuit Impedance Matching - - - - 9

2.4 Process of Power Network Management - - - - 12

CHAPTER THREE: DESIGN METHODOLOGY

3.1 Design Strategy - - - - - - - - 14

3.2 Fuzzy Logic theory - - - - - - - 14

3.3 Hardware and software approach - - - - - 17

3.4 Fuzzy Logic Based Power Management - - - - 18

3.5 Methods of Data Analysis - - - - - - 22

3.6 Modeling the Power Management fuzzy logic Controller inference rules - - - - - - 22

3.7 Fuzzy Inference Rules - - - - - - - 24

3.8 Objectives of the Network Reinforcement - - - - 26

3.9 Frequency and Load Control - - - - - - 27

3.10 The Line Bias Control - - - - - - - 29

CHAPTER FOUR: IMPLEMENTING THE POWER MANAGEMENT

4.1 Implementing the Power Management - - - - - 33

4.2 Sources of data- - - - - - - - - 35

4.3 Fuzzy logic controller model - - - - - - 36

4.4 Simulating Power Supply Variation and Evaluating the Load Shedding Fuzzy Controller - - - - - 39

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CHAPTER FIVE: CONCLUSION AND RECOMMENDATION

5.1 Conclusion - - - - - - - - - 50

5.2 Recommendation- - - - - - - - - 51 References - - - - - - - - - 52 Appendix - - - - - - - - - 57

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LIST OF FIGURES

Figure 2.1: Flow chart for the fuzzy logic scheme - - - - 9

Figure. 2.2 : Maximum Efficiency of energy transfer to the road - 10

Figure 2.3: Maximum power transfer to the road - - - - 11 Figure 3.1 Flow Chart for the fuzzy logic scheme - - - - 19 Figure 3.2: Hierarchy of objectives for distribution planning - - 27 Figure 4.3: Power profile of ht e145 MW generators used in the

simulation study - - - - - - - - 40

Figure 4.4 Signal profile at the load centre feeders at excitation of the 145 MW - - - - - - - 41

figure 4.5: Showing a programmed step fall for available energy at 0.5 seconds, 0.8 seconds and 1.1 seconds - - - - 41

Figure 4.6: Showing signal from load disconnected at 0.5254.

For 25% fall in main energy supply at 0.5sec - 42 Figure 4.7: Signal for load disconnect at 0.8243 for 50% fell in

main power supply at 0.8 secs - - - - - 43 Figure 4.8: Showing signal for disconnect at about 1.1198sec for

75% power drop at 1.1sec. - - - - - 44

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LIST OF TABLES

Table 3.1: Parameters for carrying out load shedding by power

Engineers of the New Haven Nigerian power switchyard - 23 Table 3.2: Summary of Fuzzy Inference Rules - - - - 25

Table 4.1: Reduction in load shedding transfer switching delay by

The fuzzy logic controller - - - - - 45 Table 4.2: Using parameter values for the estimation of the

Controller load shedding energy efficiency - - - 46

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LIST OF ABBREVIATIONS

SCC: System Control Centre

TCN: Transmission Company of Nigeria

SCADA: Supervisory Control and Data Acquisition

FM: Fuzzy model

DSP: Digital Signal Processor

PLC: Programmable logic controller

FIS: Fuzzy logic Interference System

NEDC: Nigeria Electricity Distribution Company

PHCN: Power Holding Company Nigeria

FLOPS: Fuzzy Logic Production System

FL: Fuzzy Logic

MATLAB: Matrix Laboratory

PLL: Phase Lock Loop

EEDC: Enugu Electricity Distribution Company

EMF: Electromagnetic force

DILS: Distributed Interruptible Load Scheduling

LSS: Load Shedding Scheme

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CHAPTER ONE

INTRODUCTION

1.1 Background of the Study

Future development and present operation of electric power system along

with other large system must pursue a number of different goals. Above all, the

power system should be economically efficient, if it should provide reliable

energy supply and should not have any detrimental impact on the environment.

In addition to these global goals there is a number of supplementary goals,

objectives and criteria. At the same time, operation and development of the

system network is influenced by a variety of uncertain and random factors. As a

result, the development strategy can be chosen from a large number of possible

alternatives. Obviously, among a set of possible alternatives the developer

attempts to find the best, or in accordance with accepted term, the optimal

alternative. Thus, the complexity of the problem related to power systems

planning is mainly caused by presence of multiple objectives, uncertain

information and large number of variables.

In this research work, effort is devoted to consideration of the methods

for development management of electric power network. However, a lot of

problems arising during the elaboration of methods for strategic planning of

power system objects are common apart from the features of the object (voltage

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level, size) etc. Therefore, methods and approaches treated in this work could be

applied in any subsystem of electric power system.

The history of this method for network management development comes

along with the history of electric power industry. As the significance of the

electric power for the national economy was increasing, more and more efforts

were put to find the optimal network development strategies. Because of that,

there are methodologies applied in practice, which result in feasible and decent

solutions. However, it is evident, that these methods can be improved. The

development of more and more efficient methods for the management of

electric power network is constantly significant. This can be explained by the

high investments involved in reinforcement and operation of the networks. In

industrialized world nearly half of the investment in power industry is

channeled towards this.

Furthermore, in recent years there is a worldwide wave of considerable

changes in power industries, including the operation of system network

deregulation, open market, alternative and local energy sources, new energy

conservation and communication technologies, these are the major factors,

which on one hand increase the uncertainty level and on the other hand provide

the alternative solution to the power management problem. New conditions

persuade the search for new comprehensive method for the management of

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electric power network objects, including generation, transmission and

distribution networks [1].

Then again, the powerful tools for solution of the tasks of the given type

become available. Computational capacities increase exponentially and the new

mathematical methods and algorithms are developed.

1.2 Statement of the Problem

Though there has been great increase in the power consumption, the total

power generated by the Nigerian Power System still remain low. This calls for a

means of effectively managing available supply.

Electricity supply has always been difficult in quality, quantity,

accessibility and reliability with poor transmission and distribution system, a

sizeable part of generated power is not available to end users. Massive load-

shedding is frequently employ as a way of forcing the demand to be brought

within power holding company of Nigeria ability to supply. Hence, this project

research work will develop a power management algorithm that will be used in

the Nigeria power system.

Finally, this work aims at using fuzzy logic controller to minimize load

shedding transfer switching delay.

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1.3 Objectives of the Study

The main goal of this work is to show that artificial intelligence

techniques such as use of fuzzy logic are versatile for the control management

of power systems. The specific objectives are therefore to:

i. Model a fuzzy logic controller for the load shedding power management,

using data from the New Haven Nigeria power switch yard for

developing the fuzzy logic controller inference rule.

ii. Carry out simulation study on the operational performance of the power

management fuzzy logic controller.

iii. Carry out evaluation of the performance of the power management fuzzy

controller. The improvement of the load shedding transfer switching and

the efficiency of the power management control system would be

evaluated.

iv. Proffer a strategy for the management of the electric power network using

artificial intelligence that has the ability to improve on the shortcomings

of the conventional methods.

1.4 Scope of the Study

This work covers the development of a more intelligent power

management algorithm based on soft computing technique. It includes the

development of fuzzy inference rules for carrying out of automatic load

shedding. However, it does not include the issue of power control and

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generation control (i.e. management of generation to match varying load

demands).

1.5 Significance of the Study

This research work seeks to provide alternative and improve solutions to

the challenges inherent in the application of conventional method of managing

electric power network. Uncertainty, random factors and ambiguity of power

system network conditions pose serious challenges and a lot of shortcoming

when we apply conventional methods. This challenge is compounded by the

fact that system is becoming complex with new technologies without adequate

training for the system operators or managers. The study will be useful to utility

operators to improve the reliability and efficiency in power system networks so

as to improve revenue generation and customer satisfaction.

1.6 Organization of the Study

This research work is organized in five chapters. Chapter one presents a

general introduction and background information about power management

development in electric power network, the research objective, limitations and

relevance of the work. A detailed review of related literature is presented in

chapter two. This assigns the power network as an important part of the electric

power system-one of the most complicated systems created by mankind. The

chapter states the main planning objectives to include minimizing power losses,

capital investment and maintenance cost and energy not supplied due to

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interruptions in the network. It is declared that the complexity of the stated task

of system management is caused by multiple objectives, large number of

variables, uncertainty of initial information and dynamic nature of the problem.

Development of new techniques provides the extended opportunities for

improvement of network operation, but simultaneously complicates the

management process. The design methodology (‘hardware and software’

strategy), sources of data and flow diagram of design implementation are

presented in chapter three. The measurement and data presentation and

simulation, using appropriate software techniques along with the basis for the

design are outlined in chapter four. Results and data analysis are also presented

in chapter four. Lastly, chapter five concludes the work in the form of

conclusion and recommendation.

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CHAPTER TWO

2.0 LITERATURE REVIEW

A power management system is a system of devices interacting through

special software for the measurement, monitoring and control of desired aspects

of an electrical network in such as way as to ensure optimal operation of the

components of the network [2]. There are many techniques that have been

developed [3–9] to minimize the load curtailment without violating the system

security constraints. The emergency state in the power System with distributed

generations has been formulated and the load shedding is solved as an

optimization problem [10]. Ying Lu et al. [11] has proposed a load shedding

scheme that works with various load models, such as single-motor model, two-

motor model, and composite model. Armanda et al. [12] have adopted a

Distributed Interruptible Load Shedding (DILS) program according to

programmed plans of emergency. Andrzej Wiszn- iewski [13] formulated a new

method for estimating the voltage stability margin, which utilizes local

measurements and applied criterion which is based on the definition of the

voltage stability. Zhiping Ding et al. [14] developed an expert-system-based

load shedding scheme (LSS) for ship power systems. Thalassinakis et al. [15]

built computational methodology that can be used for calculating the strategy

for load shedding protection in autonomous power systems. But the method

suffers large dimensionality coupled with the fact that it takes time to train the

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ANNs according to Onah et al [16]. In this work a fast method for management

of Electric Power system is developed using fuzzy logic rules.

2.1 Load Shedding System.

This is what to layman (customer) calls “rationing of light.”This is carried

out when the energy generated by the Authority is very much less than the

expected target. Load shedding is required when the electrical load demand

exceeds the capacity of available power sources subsequent to the loss of power

sources or network disintegration. The load-shedding system has to ensure the

availability of the electrical power to all essential and, most importantly, critical

loads in the plant. This is achieved by switching off the non-essential loads in

case of a lack of power in the electrical network or parts of the electrical

network. Loads shedding is an interim measure taken to save the life of a

transformer due to overload resulting from the increase in the energy

consumption of a particular area [17].

2.2 Power Management by Energy Harvesting System

In most low-power systems, power management is generally thought of as being

an ability to switch certain parts of a system off or put them in a low power state

when they are not required, and to manage the charging of a battery. Whilst

these are important aspects of low power electronics powered by energy

harvesters, there are much more fundament reasons for requiring power

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electronic in an energy harvesting system than simply managing a battery and

conserving energy [18].

(1) In order to achieve high power density from the energy harvester, there

should be some form of impedance match between the energy source and

transducer and the electrical system. This requires control of the input

impedance of the circuit which interfaces to the transducer.

(2) The output voltage and current from the energy harvester are rarely

directly compatible with load electronics and thus some form of voltage

regulation is required.

2.3 Interface Circuit Impedance Matching

In a large scale electrical energy generation plan such as a coal fired

power station, where large amounts of power are produced and where fuel must

be purchased, it is important that as much of the energy contained in the original

fuel source as possible is converted into useful electrical power. This firstly

requires a high efficiency of conversion of the energy stored in the fuel to a

mechanical form, secondly a high conversion efficiency of that mechanical

TRANSDUCER INTERFACE

CIRCUIT

ENERGY

STORAGE

OUTPUT

VOLTAGE

REGULATION

LOAD

ELECTRONICS

Energy harvested

from light/

vibration/heat

Power processing stages

Fig 2.1 Power Electronics Topology for Energy Harvesting Systems

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energy to electrical energy and finally a high efficiency of power transfer from

the electrical generator to a load. In order to ensure that the energy produced in

the electrical generator is efficiently transferred to the load, there is a well

known and fundamental requirement that the impedance of the load should be

significantly larger than the impedance of the generator. However, whilst this

arrangement (Figure 2.2) achieves maximum electrical efficiency (and prevents

the generator from thermal destruction), it does not achieve maximum power

transfer from source to load. Maximum power transfer occurs in the case where

the load impedance is equal to the source impedance, as illustrated in Figure

2.3. In the case of an AC energy source, the load should provide a conjugate

match to the source. If the diagrams of Figure 2.3 and 2.4 were taken as a very

basic representation of a conventional electromagnetic electrical generator

supplying a load resistance, Rsource would represent the generator winding

resistance and Vsource the EMF produced by time varying flux linkage with those

windings.

Figure 2.2: Maximum efficiency of energy transfer to load

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Figure 2.3: Maximum power transfer to load

In the case of energy harvesting systems, the fuel supply is effectively

free and leads to desire to be able to transfer maximum power into the load,

rather to accomplish this at high efficiency. In addition, if the power generated

is low, an impedance match has no any thermal implication on the system.

In an energy harvesting generator, the definition of the impedance of the

source to which the load should be matched is not generally as trivial as

matching the load to a single electrical impedance. The source impedance will

be dependent upon the type of energy harvester used and the conditions under

which the harvester is operating. In some circumstances, for example harvester

operating mode, it may not be optimal to match the impedance of the load to

that of the source due to constraints, however for energy harvesters studied in

this chapter, there is always a clearly defined transducer load impedance which

results in maximum power extraction from the transducer. It may therefore be

more accurate to specify that the input impedance of the interface circuit to the

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transducer must be controllable, rather than always matched to the source,

although in many case the input impedance of the interface circuit will be set to

match that of the source [19].

2.4 Process of Power Network Management

A Starting point of reinforcement planning and power network

management is the existing network under the influence of external factors.

Once it has been identified that network performance during the planning period

is in anyway inadequate, it is time to start the management process [20].

Inadequacy of performance may be induced by internal or external changes such

as increasing or decreasing existing loads or appearances of new loads;

appearance of new local generation source and obsolescence of equipment.

Furthermore, new requirement to network performance criteria, such as

improved reliability, decreased operation and maintenance cost and decreased

losses may also require additional reinforcements. Information about

inadequacy of the performance can be obtained from several sources, mainly

from monitoring calculations, but from customer complaints, direct

measurements and observations by the utility staff [21].

Management actions may include addition or reduction of network loads.

Each problem may have several possible solutions. For example, monitoring

calculations indicate that in five years voltage level will be too low in some

parts of the network. Possible management actions may include for example,

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building of new lines, selecting between overhead line and cable, providing

alternative network configurations, installation of capacitors or reactors, change

of transformers, enlargement of conductor cross-section or transition to the

alternative voltage level. More so, appearance and development of new

technologies may suggest alternative or additional option, which should also be

considered in the management and planning process.

The planning and management process consists of several steps including

identification of possible alternatives, their evaluation according to selected

performance criteria and selection of the most suitable alternatives, which form

the development strategy.

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CHAPTER THREE

DESIGN METHODOLOGY

3.1 Design Strategy

Generally, the most common advantage of fuzzy logic system in power

management, in comparison with other conventional methods is that their

designs are carried out by human linguistic knowledge. Fuzzy logic power

management can be assumed as the emulation of a skilled human operator.

There are different methods to design fuzzy logic management [22].

1. Formulate the rule base by an expert interview

2. Model directly the management actions of the operator by means of

numerical data and system performance.

3. Estimate a fuzzy model (FM) of the process and design a fuzzy manager

by simulation studies.

4. Generate the rules by a self-organizing mechanism.

For this research work, an artificial intelligence based method of power

management was developed and used

3.2 Fuzzy Logic Theory

Fuzzy logic was a controversial subject before 1960s, before then; there

have been comments on the issue. According to Plato, there is region of answers

existing between true and false [23]. However, for many years prior to 1960,

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many scholars at various universities gave many concepts of fuzzy logic; even

though their contributions were fuzzy.

The concept of fuzzy logic (FL) was conceived by Professor Lotfi Zadeh

in 1960 as a way of processing data by allowing partial membership. In

conventional logic, a statement is either true or false, was formulated by

Aristotle some years ago as the law of “the excluded middle” .i.e. two valued

logic rather than crisp set membership or non-membership.

Dr. Zadeh Lofti of university of California and other researchers have since then

given many works, papers and tutorial on the subject [23-25].

Along the various developments on the fuzzy logic, developing countries

especially Asian countries have also modeled many hardware for fuzzy

computations.

In fact the word fuzzy means vagueness or unclearness, fuzzy logic hence

is used to solve problems whose answers and requirements are more than simple

Yes or No, true or False, on or off. Fuzzy logic also takes care of the forbidden

state of digital circuits (0.8V-2V) which is the main stream of information

technology.

Its applications are numerous; namely in chemical process control,

electrically controlled machines, frequency converters manufacturing industries,

video machines, automobiles expert systems and even in power system for

heuristic optimization.

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It resembles human reasoning in its approximation of information and

uncertainty to generate decisions. It was specially designed to mathematically

generate decisions. It was specifically designed to mathematically represent

uncertainty and vagueness and provide formalizing tools for dealing with the

imprecision to many problems. By contrast, traditional computing, demands

precision down to each bit. People do not require precise numerical information

input, and be capable of highly adaptive control [26]. If feedback controllers

could be programmed to accept noisy, imprecise input, they would be much

more effective and perhaps easier to implement. Since knowledge can be

expressed in a more natural way by using fuzzy sets, many engineering and

decision problems can be greatly simplified.

Fuzzy logic offers a better way of representing reality or grading of

things. In fuzzy logic, a statement is true to various degrees ranging from

completely true- through half-truth to completely false. The idea of multi-valued

logic gives a new approach to the mathematics of thinking; it is a change of

paradigm to Aristotelian logic.

The computer tool used in expert system development is “FLOPS” which

means Fuzzy Logic Production System. FLOPS is based on fuzzy system

theory, fuzzy sets, fuzzy logic and fuzzy numbers [24]. The use of fuzzy

mathematics gives FLOPS the advantage to reason in terms of words such a

small, medium, fast slow and so on, rather than in terms of numbers. Hence

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ambiguities and contradictions can be easily handled and uncertainties pose no

problems.

Fuzzy set theory implement classes or groupings of data with boundaries

that are not sharply defined (i.e. fuzzy) any theory implementing “crisp”

definitions such as classical set theory, arithmetic, and programming may be

“fuzzified” by generating the concept of a crisp set to a fuzzy graph theory and

fuzzy data analysis, though the term fuzzy logic is often used to describe them.

Truth of a statement is defined, as is correct. Truth is measured

numerically in most fuzzy systems literatures, as ranging from zero (false) to

one (true). A typical fuzzy system consists of a rule-base, membership functions

and inference procedure. Today fuzzy logic is found in a variety of control

applications including chemical process control, manufacturing and in some

consumer products like washing machine, video cameras and automobiles.

3.3 Hardware and Software Approach

A fuzzy logic system consists of mainly three parts namely: a

fuzzification of the input signals, an inferencing mechanism and a defuzzication

process and hardware combination available for implementation. A typical

example is the TMS320C30 Digital Signal processor (DSP) chip from Texas

instruments, with powerful instrument set [27] which can be installed in a

computer to realize the objective of the fuzzy controller. The fuzzy controller

can also be realized with some software packages like, C languages and

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MATLAB fuzzy logic toolbox etc. In this work, the software implementation

using MATLAB fuzzy logic toolbox is applied for the simulation [28].

3.4 Fuzzy Logic Based power Management:

Below is a series of steps showing the solution procedure followed in

designing our scheme.

Step I: Choose appropriate input conditions: Frequency, voltage and load

in this case

Step II: Determine the fuzzy knowledge base and draw the membership

functions (for our design, MATLAB codes are used).

Step III: Convert the input condition variables to fuzzy sets (fuzzification)

Step IV: Design the fuzzy inference-decision making (Rule base) and

simulate with appropriate program, (like MATLAB).

Step V: Devise an appropriate transformation of fuzzy logic management

action (defuzzifications)

Step VI: Model the power management controller using the MATLAB

SIMULINK fuzzy Logic toolbox.

Step VII: Integrate the fuzzy logic power management controller with the

MATLAB SIMULINK model of the case study power system.

Step VIII: Carry out simulation and evaluate the controller performance.

These steps were diligently applied here as shown in the flowchart of figure 3.1

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START

Choose input conditions (i.e. input variables): Available – Energy, feeder priority, period-of-supply, Reliability, Number of feeder, voltage, Load

The Gaussian membership function is used to carryout the fuzzification that converts the input conditions to fuzzy numbers (i.e. to fuzzy sets)

Specify the fuzzy Logic Inference rules

Constitute the fuzzy Logic knowledge base

The centroid area method is used for the defuzzification strategy. This is to generate crisp values for determining control signals for transfer switching

A

Model the fuzzy logic power management controller using the MATLAB SIMULINK fuzzy logic toolbox

Integrate the fuzzy logic power management controller with the simulink model of the case study power system as shown in figure 4.2.

Setup and carryout simulations using the SIMULINK 3 – phase programmable voltage source block (figure 4.2) to simulate the variations in the supplied power in order to test the control actions of the fuzzy logic power management controller.

Evaluate the performance of the power management controller

STOP

Figure 3.1 Flowchart for the fuzzy logic scheme

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The flowchart of figure 3.1 graphically depicts the flow (the steps) for the

design and testing of the proposed fuzzy logic power management controller.

As indicated, the system input variables used for the modeling of the fuzzy

inference system have to be first specified. The variables are chosen partly as

load shedding policy variables at New Haven Nigeria switchyard management,

which was used as a case study. These variables are used for the specification of

the fuzzy inference rules as reported in section 3.6.

Since the input variables are entered as numbers (numeric values),

fuzzification is required to translate these values to fuzzy linguistic variables

(fuzzy sets). To carryout this, the Gaussian membership function is given as

[29]:

�������� �; �, � = �� � − � �

�− − − −�3.1�

From the equation (3.1), it can be seen that the Gaussian membership function

is specified by two parameters {�, � }, where C represents the membership

function’s center and � determines the membership function’s width.

A control decision making structure is required for the power

management control, hence the inference rules for the fuzzy logic controller is

specified as carried out in section 3.6.

The inference rules are organized systematically within a storage data

structure. This systematic organization and storage of the inference rules

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constitutes the fuzzy logic knowledge base. The MATLAB SIMULINK

toolbox’s rule editor is used to create this knowledge base.

Since the system output variables will be in fuzzy linguistic terms, it is

necessary to convert these fuzzy values to numeric (crisp) values in order to

carryout power management actions (such as sending control signal to effect

transfer switching for load shedding). To achieve this step, a defuzzification

method is used. The defuzzification method used in the design is the centroid

area method given as [29]:

���� = � � ���!"!#

� � ���"!# − − − − − − − �3.2�

Where � ��� is the aggregated output membership function, Z is the fuzzy set

output of the rule processing and ZCOA is the representative crisp value obtained

via the centroid of area defuzzification strategy.

The MATLAB SIMULINK fuzzy logic toolbox is used to model the

power management controller. The toolbox has the facility for specifying the

fuzzy logic membership function, it has the tool for constructing and editing the

inference rules, for the specification of the centroid area defuzzification method.

These actions automatically generate the power management controller program

code.

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The integration of the controller with the simulink model of the case

study power system and the carrying out of the simulation is discussed in

chapter four.

3.5 Methods of Data Analysis

The data (conditions) analysis is accomplished with computer

simulations, using the fuzzy logic toolbox in MATLAB, a product of Math

works incorporated.

3.6 Modeling the Power Management fuzzy logic controller inference

rules

Table 3.1 shows data obtained from power engineers at New Haven Nigerian.

Power switch is used for formulating the fuzzy inference system. The fuzzy

logic controller linguistic variables are;

1. Available –energy

2. Feeder priority

3. Period-of-supply

4. Reliability

5. Number-of-feeders

The available energy is the total energy available from the supply source as

measured by simulink V-I measurement block. The feed-priority is the priority

value (or weighting) assigned to feeders based on power management policy of

the power system management. Period of supply is power sharing supply

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duration allotted to different load centers in situation of load shedding.

Reliability is the numerical rating assigned to different load centers by power

management decision to indicate feeders that are likely to waste energy as a

result of non-usage resulting from high likelihood of fault. Number of feeders,

based on power management decision, determines load centers likely or not

likely to be supplied power on rotation basis, as a result of load shedding

decision.

The fuzzy sets are specified as HIGH and LOW.

Based on power management policy currently being implemented at the

case study power system switchyard, the following fuzzy inference rules are

formulated for the power management fuzzy controller.

Table 3.1: Parameters for carrying out load shedding by power engineers of the New

Haven Nigerian power switch yard

Feeders Priority No of Feeders Reliability load

Kingsway II High 6 70% 17.50 MW

Kingsway I Low 5 70% 19.50 MW

Amechi road Low 1 30% because long distance tension

down on (low)

13.6MW

Ituku-Ozalla High 3 80% 15.10MW

Government house High 1 90% 8.0MW

Independence layout High 4 90% 10.6MW

New NNPC Low 2 30% 19.0MW

Thinkers Corner Low 4 90% 19.5MW

Emene Low 1 60% 8 MW

Source: Enugu Electricity Distribution Company [EEDC]

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3.7 Fuzzy Inference rules

- If available-Energy is LOW and Feeder-priority is HIGH and period-of-

supply is LOW THEN supply is ON.

- If available-Energy is LOW AND Feeder-priority is HIGH AND

PERIOD-OF-Supply is HIGH then Supply is OFF.

- If available-energy is LOW AND Feeder-priority is LOW AND Number-

of-Feeders is HIGH AND Reliability is HIGH AND Period-of-supply is

low THEN supply is ON.

- If available-Energy is LOW AND Feeder-priority is LOW AND Number-

of-Feeders is HIGH AND Reliability is HIGH AND Period of-supply is

LOW THEN Supply is ON.

- If Available-Energy is LOW and Feeder-priority is LOW And Number-

of-feeders is LOW AND Reliability is HIGH AND period-of-supply is

LOW THEN supply is OFF.

- If available-Energy is LOW AND Feeder-priority is LOW and Number-

of-feeders LOW AND Reliability is LOW AND period-of-supply is

LOW THEN Supply is OFF.

- If available-Energy is LOW AND Feeder-priority is LOW AND Number-

of-feeder is HIGH AND Reliability is HIGH AND period-of-supply is

HIGH THEN Supply is OFF.

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- If Available-Energy is LOW and Feeder-priority is LOW AND Number-

of-feeders HIGH AND Reliability is HIGH and period-of-supply is

HIGH THEN Supply is OFF.

- If available-Energy is LOW AND feeder-priority is LOW AND Number-

of-feeders is LOW AND Reliability is HIGH and period of Supply is

HIGH THEN supply is ON.

- If Available-Energy is LOW AND Feeder-priority is LOW and Number-

of-feeders is LOW AND Reliability is LOW AND period of supply is

HIGH THEN supply is ON.

- If Available-Energy is HIGH Supply is ON

Table 3.2: Summary of Fuzzy Inference Rules

s/n Available

Energy

Feeder

priority

number

of feeders

Reliability

supply

Period

of

supply

Supply

or

output

1 Low High _ _ Low ON

2 Low High _ _ High OFF

3 Low Low High High Low ON

4 Low Low High High Low ON

5 Low Low Low High Low OFF

6 Low Low Low Low Low OFF

7 Low Low High High High OFF

8 Low Low High High High OFF

9 Low Low Low High High ON

10 Low Low Low Low High ON

11 High _ _ _ _ ON

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3.8 Objectives of the Network Reinforcement

Objectives of the network reinforcement may vary considerably from one

utility to another and from one plan to another within the utility. However, it is

possible to formulate the common objectives for the planning task in general in

terms of planning attributes, which have to be minimized.

The approximate hierarchy of objectives for distribution network

planning is presented in figure 3.2. More or differently formulated objectives

can be added, i.e. voltage quality or environmental impact.

The rectangles in figure 3.2 contain the attributes, which are common to the

distribution planning problems, and are suggested for application in planning

software presented in this dissertation. As a result, there are the following three

general attributes to be minimized.

Attributes 1: Power loses: cost of power losses is calculated for the whole

planning period. Different loading conditions may be

modeled by duration of every mode.

Attribute 2: Investments: Investments and operation and

Maintenance (O & M) costs are combined with the single

attributed.

Attributes 3: Reliability: Either energy not supplied or customer outage

costs are used depending on the information available for the

particular task.

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The objectives, which are the subject of optimization, are open-ended. No

matter how good the planner is he is always challenged to do better. By

contrast, the operational constraint must only be met, not exceeded [30].

3.9 Frequency and Load Control

Electric power systems use some methods of continually adjusting system

generation to match changing loads to maintain frequency within desired limits.

The speed drop characteristics of generator governors, which results in some

increase in generation with dropping frequency and reduction in generation with

increasing frequency, acts to regulate frequency, but not for the exact limits

required by modern industrial processes, time clocks, etc.

On an isolated system (not interconnected with other systems), flat

frequency control of frequency is practicable. In this method, continuous

measurement is made of frequency, and a signal proportional to the difference

Satisfy growing and changing

system load demand

economically reliably and

safety

Minimize power

losses

Minimize costs Improve reliability

of supply

Satisfy operational

constraints

Minimize

investment cost Minimize O & M

cost

Minimize energy

not supplied

Minimize

customers’ outage

Level 2:

Level 1:

Figure 3.2: Hierarchy of objectives for distribution planning

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between existing frequency and set (desired) frequency is transmitted to one or

more generating plants to adjust generation in a direction to eliminate the

frequency difference [31].

When a small system is interconnected with a large system or systems,

the smaller system may rely on frequency control by the larger system (s) and

control only the power flow between itself and the larger system(s). In this

method, called flat tie line control, the total set flow on the interconnecting

circuits is continually measured and compared with a set (desired) net flow; a

signal proportional to the difference is transmitted to one or more generating

stations to adjust generation to eliminate the difference. In this method, the

generation is being continually adjusted to match the desired net interconnecting

flow plus the varying load in the local system.

Flat tie line control is effectively used on Hydro’s 25 cycle subsystem in

Nigeria sub-Region. In this case, the 25 cycle frequency is effectively controlled

by the 50 cycle frequency, via the frequency changers; Beck No. 1 25 cycle

generation is frequently on automatic load control from the System Control

Centre to maintain the frequency changer “tie line” flow at a set value. The set

value is based on maximizing frequency changer transfers for economic

utilization of water without impairing 25 cycle system security due to

contingencies such as loss of a frequency changer.

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Larger power systems interconnected with other systems utilize tie line

bias control; this is the normal control mode used on Hydro’s 50 cycle system.

In this mode, both system frequencies (compared with desired or set frequency)

and net interconnection MW flows (compared with set or desired) are

simultaneously controlled. Tie line bias control means control of tie line net

flow biased by deviation from desired frequency.

3.10 The Line Bias Control

The MW flow in each of the tie lines between Hydro and interconnected

utilities aretelemeter to the SCC by frequency shift telemetering (PLC or

microwaves). Telemeter receiver for each quantity produces a milliamp output

for the associated graphic meter and a milliamp output for the control

computing circuit, the output being proportional to tie line flow. In the

computing circuit each milliamp output is converted to a millivolt quantity and

the millivolt outputs are connected in series to produce a quantity proportional

to net tie line flow. An addition millivolt quantity, proportional to the desired

net interchanged as set into the control, is introduced into the computing circuit,

thereby producing net millivolts proportional to the difference between set and

actual net interchange.

This net millivolt quantity is biased by the introduction into the

computing circuit of millivolts proportional to the difference between actual and

set frequency.

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A final total millivolt quantity is produced which is proportional to the sum of:

1. The difference between set and actual net interchange

2. The difference between set and actual frequency.

This final quantity, which initiates all corrective control action, is the area

requirement, which is indicated in terms of MW on a centre-zero area

requirement graphic methods at the Control Centre. Mathematically, the area

requirement graphic meter is represented as.

Area Requirement = ∆W + K ∆ f

K, the frequency bias setting in MW per tenth of a cycle set into the control by

adjustment of the frequency bias rheostat. This setting in percent of the system

capacity in MW, is the same for each interconnected system. Usually 1.5

percent of the annual peak load in MW is used in each system. The setting used

results in a MW contribution to area requirement due to abnormal frequency

which approximates the natural frequency-load characteristics of the system.

Examples of the effect on area requirement of four types of disturbances are as

follows [31]:

3. Drop in frequency-(case of External Generation Deficiency): The drop in

frequency results in a minor reduction in load, and an increase in

generation due to governor droop characteristics. The resulting over

generation on the Hydro system (load frequency characteristics) equals

∆W that flows out on the interconnecting circuits to assist the power

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system in difficulty. With appropriate selection of the value K, the K ∆ f

product equals and cancels ∆W; the Area requirement is zero and no

control action takes places on the Hydro System that is the natural

assistance to the power company in trouble is maintained until it adjusts

its own imbalance.

4. Drop in frequency-(Case of Internal Generation deficiency): In this case,

∆W is the initial generation deficiency less the generation increase due to

governor droop action on low frequency less the load reduction due to

low frequency that is,

∆ W approximates initial generation deficiency ∆W and the area

requirement, initiating control raise impulses to Hydro’s generating

stations on control to correct its own deficiency. This is expressed as:

Initial generation deficiency ∆ W + K ∆ f= initial generation deficiency

5. Increase in frequency-(Case of External generation surplus): In this case,

Hydro’s generation reduces slightly due to governor droop action on high

frequency and Hydro’s load increases slightly due to high frequency. This

results in an inflow of Hydro, ∆ W; ie, Hydro assists in absorbing the

excess generation until the system with the excess takes control action. ∆

W and K ∆ f are approximately equal and self cancelling: the Area

Requirement is zero and Hydro takes no control action.

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6. Increase in Frequency-(Case of Internal Generation surplus): This case is

similar to (2). ∆W is Hydro’s initial surplus less the frequency load

characteristics of Hydro’s system. The Area requirement, initiating

control lower impulses to Hydro’s generating stations on control to

correct its own generation surplus, is equal to the initial generation

surplus.

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CHAPTER FOUR

4.1 Implementing the Power Management

The circuit diagram employed in this research work is shown in figure 4.1. The

Onitsha/New Haven 330/132/33kV single line diagram which is implemented in

simulink with fuzzy logic controller integrated is shown in figure 4.1.

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40

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4.2 Sources of Data

The work is a case study of 330/132/33kV transmission station, New Haven

Enugu which belongs to the Transmission Company of Nigeria (TCN); so the

TCN is the primary source of data.

1. System Operation Department: This department is responsible for

monitoring the performance and control of the system network. Engineers

with expert knowledge in this department were interviewed to obtain

relevant operational data and information.

2. Communication/SCADA AND SYSTEM LINES DEPARTMENTS

This department is responsible for the communication system and SCADA. The

system lines department is responsible for the protection and maintenance of the

line. Engineers from these departments were interviewed for the performance

evaluation of the system as it affects network power management vis-a- viz the

existing conventional methods of power management and the relevant technical

data/line designs and parameters.

(3) Internet Resources: - Various search engines like www.google, yahoo, ask,

mamma and lec were used to gather valuable information from related

publications, which and herein, well referenced.

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4.3 Fuzzy Logic Controller Model

The MATLAB simulink fuzzy logic controller tool box is used to model

the load shedding power logic management fuzzy logic controller. The fuzzy

logic membership function editor is used to create fuzzy linguistic variables as

specified in chapter three. The layout of the input/output of the controller as

illustrated within the simulink fuzzy logic FIS editor is shown in figure 4.2.

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The MATLAB simulink model of the test case power system with the

power management fuzzy logic controllers integrated is depicted figure 4.2.

As the source is set to be 145MW part of power management load shedding is

done to prevent the power system from total collapse.

The power management fuzzy controller systematically sheds loads in the

system in order to systematically rotate power among the load center.

For the simulation set up, the load shedding is simulated by automatic fuzzy

logic controlled transfer switchgear operation.

The setup is to trip and reclose circuit breakers for connecting and dropping

loads on the feeders.

The fuzzy controller uses its inference rules as modeled in chapter three

to control the feeders whose loads are dropped (OFF) or connected. The fuzzy

logic control is based on available power, the specified priorities of the number

of feeders, the reliability rating of the feeders and the duration of having power

supplied (period-of-supply).

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4.4 Simulating Power Supply Variation and Evaluating the Load

Shedding Fuzzy Controller

To be able to simulate variation in a case where a demand would exceed

generation, the simulink 3 phase programmable voltage source block is used.

Referring to figure 4.2, the simulink 3-phase programmable voltage source

block is used as the variable energy source energizing the power system.

This block property in the simulink 3-phase programmable voltage is used to set

the variation timing. The block is set to amplitude variation timing, the variation

type is step and the time variation is set at intervals of 0.3 seconds. At step times

indicated, the 3-phase programmable power source, based on the step function,

varies the MVA (MW) and MVAR of the power source downwards at intervals.

This simulates the drop in available energy. As indicated in figure 4.2, the

generator (variable power source) is connected to the feeder network through

the simulink three-phase V-I measurement block. This block provides the

instrumentation feeds (inputs) required by the discrete 3-phase PLL and the

discrete 3-phase PLL-Driven positive sequence Active of Reactive power block

to dynamically measure.

Evaluation is carried out to estimate average reduction in load shedding transfer

switching delay as compared to the current manual method. Furthermore the

energy distribution is also evaluated.

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At the set interval, the programmable power source varies its power

downwards by 25% descent i.e following the trend 100%, 75%, 50% and 25%

corresponding to 145MW, 108.75MW, 72.5MW and 36.25MW the active (i.e in

Mega Watts) and reactive power supplied (available) to the network.

As indicated this measurement is fed as input (available-energy) to the

power management fuzzy logic controller. The fuzzy logic controller uses this

value in its inference rule to determine the feeders to drop or connected during

the load shedding operation. As indicated the required fuzzy linguistic

variables: feeder-priority, Number of-Feeders, Period-of-Supply are input into

the fuzzy logic controllers through the simulink cost and blocks.

Based on these variables, the fuzzy logic controllers send trip signals to

the circuit breakers to trip loads (turn off) on the appropriate feeders.

At initialization of the programmable power source at 145MW, the profile of

the active power excitation of the generator is shown in figure 4.3

Figure 4.3: Power profile of the 145 MW generators used in the simulation study Time(s)

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While the sample signal profiles at the feeders is shown in

Figure 4.4

The step descent of the active power output of the programmable source at set

intervals of 0.3 sec. is shown in figure 4.5

The diagram shows stepwise descent of the available power. This step fall in

available energy causes the fuzzy controller, using the inference rules to

systematically drop loads.

At programmable source transmission at 0.5sec (carries providing to a 25%

drop of main power supply which is a fall from around 145 MW to 108 MW), the

Figure 4.4: Signal profile at the load centre feeders at excitation of the 145 MW

Figure 4.5: Showing a programmed step fall of available energy at 0.5 seconds, 0.8 seconds, and 1.1 seconds.

Time(s)

Time(s)

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signal and profile of the feeders: Emene and Amechi road and New NNPC as

shown in figure 4.6. The graph shows that these feeders have been switched off

by the fuzzy controller.

Figure 4.6: showing signal from load disconnected at 0.5254 for 25% fall in main energy supply at 0.5sec.

The decision to shed loads on these feeders is based on the fuzzy logic

controller inference rule as specified in chapter three. The other loads on the

other remaining six feeders are still connected.

At source energy change (descent) at 0.8sec (corresponding to a 50% drop of

supplied energy, which is a fall approximately around 145MW to 72.5MW), the

supply at the feeders, Thinkers Corner, New NNPC, Emene and Amechi Road

collapsed at around 0.8243 second as shown in fig 4.7. This represents a transfer

switching delay of 0.243 second as against the 10 minutes delay using the

current manual load shedding procedure.

Time (s)

Ava

ilabl

e en

ergy

(MW

)

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Figure 4.7: Signal for load disconnect at 0.8243 for 50% fall In Main Power Supply At 0.8sec.

It takes on average of 10 minutes (data as given by PHCN control unit

engineers at the New Haven Nigerian switchyard).

The remaining five other feeders:

Kingsway 11, Kingsway 1, Ituku-Ozalla, Government house and independence

layout remained energized.

At source drop step change at 1.1sec (corresponding to a 75% drop of supply,

which is a fall of approximately around 145MW to 36.25MW), the supply at the

feeders: Kingsway1, Amechi Road, Ituku-Ozalla, New NNPC, Thinkers Corner,

Emene were disconnected by the fuzzy controller at around 1.1198 seconds as

shown in Fig 4.8.This represents a transfer switching delay of 0.1198 seconds.

The 3-phase programmable source step transition time, the load drop time, and

the transfer switching delay are given in table 4.1.

Time (s)

Ava

ilabl

e en

ergy

(MW

)

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Figure 4.8: Showing signal for disconnect at about 1.1198sec for 75% power drop at 1.1sec.

Time(s)

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Table 4.1: Reduction in load shedding transfer switching delay by the fuzzy

logic controller

Source supply Step

Transition time (seconds)

Load drop Time (secs) Transfer switching

(delay)time

0.5 0.5254 0.0254

0.8 0.8243 0.0243

1.1 1.1198 0.0198

%&�'��� "�(�) = 0.0254 + 0.0243 + 0.01983

%&�'��� "�(�) = 0.06953

= 0.02316��

Based on the current manually load shedding transfer switching at the New

Haven switch yard, it takes (according to one of the staff) an average of 10

minutes to carry out the operation.

This means reduction in load shedding transfer switching delay from 600sec to

0.02316sec. This represents a 99.99% reduction in transfer switching delay.

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Table 4.2 using parameter values for the estimation of the controller load

shedding energy efficiency

Supply fall

transition time

(sec)

Connected feeders Demanded power (MW)

Available power supplied (MW) Losses (MW)

0.5 Kingsway II

Kingsway I

ItukuOzalla

Government house

Independence layout

Thinkers Corner

90.2 108.75 18.55

0.8 Kingsway II

Kingsway I

ItukuOzalla

Government house

Independence layout

70.7 72.5 1.8

1.1 Kingsway II

Government house

Independence layout

36.1 36.25 0.15

TOTAL 197 217.5 20.5

Some amount of energy would be wasted as a result of supply over shoot. This

depends of the controllers computation of available energy at any time as

against demanded energy on the connected feeders (i.e. connect load centers,

that is the load centers that were not disconnected by the fuzzy controller).

Hence evaluating the power management efficiency is in order.

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Efficiency = 1234 5678671234 9:867 × 100%

= =:>3?@ AB>C

=:>3?@ D688E9>C × 100%

In this power management control case,

Efficiency = =:>3?@ 6B>C F@ G2::>G7>C H>>C>3

=:>3?@ B688E9>C × 100%

Referring to table 4.2

Efficiency = =:>3?@ C>IJ:C>C F@ K2::>G7>C H>>C>3B L MM%

=:>3?@ B688E9>C

197217.5 × 100%

= 90.57%

The power management fuzzy controllers achieved a load shedding efficiency

of 90.57%.

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For an estimate of the efficiency of the manual load shedding, the data log extract in appendix A (obtained from PHCN transmission) is used.

Using the tabulation on appendix A and table 3.1 for feeder load capacities:

Load demand for time interval 1800 – 2200: 64.5MW

load demand of connected feeder on time interval 1300 − 1200: 45MW

Load demand of conencted feeders on time interval 0900 − 1200: 36.1MW

Load demand of connect feeders on time interval 0600 − 0800: 25.5MW

Total demand within the time intervals being considered: 171.1MW

Total Power supplied during the time interval: 370MW

Efkiciency = 171.1370 × 100% = 46.24%

As can be seen, the manual load shedding method is not as efficient as the

fuzzy controlled method. Apart from the 600 seconds average delay, and

probably as a safety precaution more feeders are disconnected during low power

supply. This is mainly as a result of not being able to quickly (in real time) and

accurately compute and determine the balance of supplied power with the load

demand configuration and the priority of the feeders.

Consequently (since there are no automated load shedding decision

making tool) this results in the practice of first considering the priority of

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feeders (based on the specified importance of the load centers these feeders are

supplying), also with overload safety measures before disconnecting feeders.

This manual power management method makes it impractical for the engineers

to optimally determine the feeders to disconnect, hence the engineers end up

dropping more feeders than would have been dropped if computerized power

management software were employed.

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CHAPTER FIVE

CONCLUSION AND RECOMMENDATION

5.1 Conclusion

This research work provides a better strategy that can replace or

complement the conventional methods of Power System Management. This was

borne as a result of deregulation of electricity market, introduction of new

technologies and increase of local generations so as to reduce capital investment

and power losses and improve reliability and power quality delivery.

The problem of optimal power management development in power network is a

multi-criteria and dynamic task with a large number of state and decision

variables. This task must be formulated taking into consideration possible

influence of random and uncertain parameters that constantly vary. Solution of

such a problem is associated with considerable mathematical computation and

informational difficulties. The development of power management was

described by the following principal factors and parameter: Deterministic,

probabilistic, fuzzy and truly uncertain.

Fuzzy Logic based method was used in the development of power

management Algorithm. The approach was effective in implementing a simple

fuzzy procedure to solve a problem that required rigorous methods when the

conventional approach is used. Only the system frequency or voltage is

sufficient to implement this technique. The system simulation shows that the

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proposed approach is able to make decision and serve as logic for system

stability, which acts to protect or save the network.

From the work, the following two main conclusion can be drawn;

1) Modern mathematical and computational tools provides the possibility to

solve the management problems of large power network in its general

formulation, accounting for

- Uncertain and random factors

- Multiple criteria

- Dynamic development process

2) Practical application of the suggested methods and algorithms would

require considerable efforts to achieve elaborate, powerful and user friendly

software that will be useful for providing:-

- Data gathering and processing

- Presentation of results

5.2 Recommendation

It is recommended that the energy management companies in Nigeria

should implement a strategy for the management of the electric power network

using artificial intelligence techniques such as use of fuzzy logic controller for

the load shedding power management.

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of load shedding,” IEEE Transactions on Power Delivery, Vol. 22, No. 3,

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[19] C. Tim Green, M. Eric Yeatman, D. Paul Mitcheson, “Power Processing

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[24] G.J. Klir and T.A. Folger; “Fuzzy sets Uncertainty and Information”

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APPENDIX A

Log extracted supplied by PHCN (Transmission Department)

Date: 21/02/2016

Time interval (Hours)

Load Demand (MW)

Supply (MW)

Disconnected Feeders

1800 – 2200 120

Kingsway II, Kingsway I Government House Independence Layout, Thinkers Corner

1300 – 1200

100 Kingsway II, Kingsway I Government House

0900 – 1200

90 Kingsway II, Government House, Independence Layout

0600 – 0800

60 Kingsway II, Government House

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APPENDIX B

[System]

Name='LoadSheddingController'

Type='mamdani'

Version=2.0

NumInputs=5

NumOutputs=1

NumRules=8

AndMethod='min'

OrMethod='max'

ImpMethod='min'

AggMethod='max'

DefuzzMethod='centroid'

[Input1]

Name='Available_Energy'

Range=[0 145]

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NumMFs=2

MF1='LOW':'trimf',[-117.8 0 117.8]

MF2='HIGH':'trimf',[100 120 145]

[Input2]

Name='Feeder Priority'

Range=[0 8]

NumMFs=2

MF1='LOW':'trimf',[-0.5 1.5 3]

MF2='HIGH':'trimf',[2.5 5 6]

[Input3]

Name='Number_Of_Feeders'

Range=[0 6]

NumMFs=2

MF1='LOW':'trimf',[-0.5 1.5 3]

MF2='HIGH':'trimf',[2.5 5 6]

[Input4]

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Name='Reliability'

Range=[0 10]

NumMFs=2

MF1='LOW':'trimf',[-4 2.5 5]

MF2='HIGH':'trimf',[4.5 7.5 10]

[Input5]

Name='Period_Of_Supply'

Range=[0 10]

NumMFs=2

MF1='LOW':'trimf',[0 2.2 4]

MF2='HIGH':'trimf',[3.8 5 10]

[Output1]

Name='Supply'

Range=[0 1]

NumMFs=2

MF1='OFF':'trimf',[-0.4 0 0.4]

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MF2='ON':'trimf',[0.1 0.5 0.9]

[Rules]

1 2 0 1 1, 2 (1) : 1

1 2 0 0 2, 1 (1) : 1

1 1 2 2 1, 2 (1) : 1

1 1 2 2 1, 2 (1) : 1

1 1 1 2 1, 1 (1) : 1

1 1 1 1 1, 1 (1) : 1

1 1 2 2 2, 1 (1) : 1

2 0 0 0 0, 2 (1) : 1