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REDUCING HARMONIC VOLTAGE ATINDUSTRIAL AREA DISTRIBUTION NETWORK
USING NETWORK CONFIGURATIONMANAGEMENT
MOHD SHAHED BIN LATIF
UNIVERSITI SAINS MALAYSIA
2008
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REDUCING HARMONIC VOLTAGE AT INDUSTRIAL AREADISTRIBUTION NETWORK USING NETWORK CONFIGURATION
MANAGEMENT
by
MOHD SHAHED BIN LATIF
Thesis sb!i""e# i$ %&%i&&!e$" '% "he (e)i(e!e$"s%'( "he #e*(ee '%MS+, -E&e+"(i+.& / E&e+"('$i+ E$*i$ee(i$*
M.(+h 2008
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ACKNOWLEDGEMENTS
This research could not been completed and this thesis cannot be written
without the scholarship and resources provided by Tenaga Nasional Berhad.
Thanks to my supervisor, Dr. Ir. Syafruddin asri, for the guidance and
encouragement during my study process. !lso thanks to my colleagues at
"elugor #ower Station, #enang who always support and encourage me and,
the staff at $egional %ontrol %entre, Bayan &epas who provided me all the
information re'uired for my research. !nd finally, thanks to my family, especially
my departed wife who offered moral support and endured this long process with
me.
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TABLE OF CONTENTS
1AGE
ACKNOWLEDGEMENTS iiTABLE OF CONTENTS iiiLIST OF TABLES viLIST OF FIGURES viiiLIST OF ABBREVIATION (ABSTRAK (iABSTRACT (ii
CHA1TER ONE INTRODUCTION
).) *verview on +armonic )). Standards on +armonic -).- +armonic itigation ). Time/0arying +armonic 1).1 Industrial !rea 2).2 3actors %ontributing to +armonic 3luctuation 4).4 5valuating +armonic %haracteristic 6).6 *b7ective and Scope of $esearch 6).8 ethodology 8).)9 %ontribution of This Study )9).)) *verview of Thesis ))
CHA1TER TWO LITERATURE SURVEY
.) Background )
. Basic on +armonics )
.- +armonic %haracteristic of Industrial !rea )2
. +armonic Standards )8.1 Time 0arying +armonic
.2 +armonic itigation and 5conomic %onsideration .4 Identifying +armonic Source 2
CHA1TER THREE SIMULATION AND ANALYSIS
-.) 5ffect of %onsumer &oad 3luctuation Si:e -9-. 5ffect of %onsumer &ocation -)-.- 5ffect of Different Network %onfiguration ---. 5ffect of Network Total &oad ---.1 0oltage Total +armonic Distortion %alculation --.2 Baseline for %omparison -2
-.4 5valuating #robabilistic !spect of +armonic 0oltage -6-.6 Simulation on 5ffect of %onsumer &oad 3luctuation Si:e 9
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-.8 Simulation on 5ffect of %onsumer &ocation in NetworkBranch
)
-.)9 Simulation on 5ffect of Different Network %onfiguration -.)) Simulation on 5ffect of !dding New &oad
CHA1TER FOUR TEST NETWORK3 MODELING AND
1ARAMETERS.) Industrial !rea Distribution Network -. %omponent $ated 0alues and Impedance odeling 1 ..) Transmission System 1 .. Transformer 4 ..- %ables 6
.. %onsumer &oads 19 ..1 +armonic Source 1).- #robability of Network &oading 1. Simulation Software 1-
CHA1TER FIVE SIMULATION RESULTS AND DISCUSSION
1.) $ated 0oltage Total +armonic Distortion 161. Simulation I $esults !nd !nalysis 181.- Simulation II $esults !nd !nalysis 21. !nalysis of Distance of Disturbance on T+Dv0ariation 2-1.1 $esults and !nalysis for %onfiguration B and % 21
1.2 !nalysis for Different Branch &oading 281.4 $esult of !dding New &inear &oad 491.6 Discussions 4)
CHA1TER SI4 CONCLUSIONS AND RECOMMENDATION
2.) %onclusions 412. $ecommendation for 3uture Study 44
REFERENCES 46
A11ENDICES!ppendi( ! / Table of $andom &oad &evel!ppendi( B / $esults for 5ffect of &oad 0ariability in %onfiguration !!ppendi( % / $esults for 5ffect of &oad 0ariability in %onfiguration !
at ;- %urrent +armonic
!ppendi( D / $esults for 5ffect of &oad 0ariability in %onfiguration !at );- %urrent +armonic
!ppendi( 5 / &oad 0ariability $esults for %onfigurations !, B and %
!ppendi( 3 / Difference in Network Branch &oad and Difference InT+DvBetween %onfiguration B and %
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LIST OF TABLES
1AGE
.) +armonic #hase Se'uence )1
. Basis for harmonic current limits based on I555 1)8/)88
9
.- %urrent distortion limit for general distribution systems !verage T+Dvfor $ange of Network&oad Demand
29
1. %onfiguration ! / #robability and %umulative #robability of$anged T+Dv
29
1.- 0ariation of T+Dv$esult for Total Tripping *f 5ach%onsumer &oad
2
1. T+Dv0ariability $esult for Total Tripping of 5ach
%onsumer Based on %onsumer Distance to #%%
2
1.1 %onfiguration B / !verage T+Dvfor $ange of Network&oad Demand
22
1.2 %onfiguration B / #robability and %umulative #robabilityof $anged T+Dv
24
1.4 %onfiguration % / !verage T+Dvfor $ange of Network&oad Demand
24
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1.6 %onfiguration % / #robability and %umulative #robabilityof $anged T+Dv
24
1.8 T+Dvat #%% as a $esult of !dding New &oad 49
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LIST OF FIGURES
1AGE
).)ethodology flow chart
)9
.) +armonic %urrent and 0oltage Distortion )-
. ! --?0 Industrial !rea Distribution Network )4
.- Balanced harmonic characteristic at industrial areanetwork
)6
. inimal levels of triplen and even current harmonic )6
.1 Typical distribution network of an industrial area )8
.2 +armonic voltage fluctuation at an industrial areaincoming feeder
-.) 3actors affecting harmonic voltage fluctuation and factorswithin utility@s control
8
-. 5ffect of consumer distance from #%% -
-.- #rocess flowcharts for calculating total harmonic voltage
distortion
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1.- %onfiguration ! T+Dvpdf and cpf 2)
1. Scatter plot for different level of current harmonic 2
1.1 %orrelation between load fluctuation si:e and T+Dv
variability
2-
1.2 %orrelation between consumer load distance to #%% andT+Dvvariability range at #%% due to total tripping of eachload
2
1.4 +armonic voltage level at each harmonic for configurationB and % using the same random load level data,simulation and calculation
21
1.6 Scatter plot of T+Dvfor the three different configuration at
random load level
22
1.8 %onfiguration B T+Dvpdf and cpf 26
1.)9 %onfiguration % T+Dvpdf and cpf 26
1.)) %orrelation between difference in branches total load anddifference in configuration B and % T+Dv
28
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LIST OF ABBREVIATION
!SD !d7ustable speed drives
B? Breaker
%pf %umulative probability function
%I"$5 International %ongress of &arge #ower Systems
I5% International 5lectrotechnical %ommission
I555 Institute of 5lectrical and 5lectronics 5ngineers
I555 #5S I555 #ower 5ngineering Society
IS% Short %ircuit %urrent
I& &oad %urrent
% &arge #ower %onsumer
S icrosoft
0! ega 0olt !mpere
N*# Normally open position
#df #robability density function
#%% #oint of %ommon %oupling
S%% Short %ircuit %urrent
S%$ Short %ircuit $atio
S+I Shunt +armonic Impedance
T+D Total +armonic Distortion
T+Dv 0oltage Total +armonic Distortion
x
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MENGURANGKAN VOLTAN HARMONIK DI RANGKAIAN 1EMBAHAGIANKAWASAN INDUSTRI MENGGUNAKAN 1ENGURUSAN KONFIGURASI
RANGKAIAN
ABSTRAK
Syarikat pembekal elektrik diperlukan untuk mengekalkan tahap voltan
harmonik di dalam sistem di bawah batas piawaian. Namun, voltan harmonik
berubah mengikut masa dan disebabkan oleh naik turun tahap arus harmonik
dan perubahan impedans rangkaian. engurangkan harmonik menggunakan
kaedah sedia ada adalah mahal untuk pembekal tenaga dan memerlukan
pertimbangan ekonomi. #emerhatian dan analisa ke atas rangkaian
pembahagian kawasan industri menun7ukkan perubahan pada impedans
rangkaian disebabkan oleh perubahan beban pelanggan dan perubahan
konfigurasi rangkaian boleh menyebabkan perubahan ketara terhadap kadar
voltan Atotal harmonic distortion@
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REDUCING HARMONIC VOLTAGE AT INDUSTRIAL AREA DISTRIBUTIONNETWORK USING NETWORK CONFIGURATION MANAGEMENT
ABSTRACT
5lectric utility company is re'uired to maintain harmonic voltage level in the
system below the standard@s limit. +owever, harmonic voltage is time variant
and is caused by fluctuation of current harmonic level and changes in network
impedance. itigating harmonic using e(isting methods is costly for utility and
re'uires economic consideration. *bservation and analysis on an industrial
area distribution network shows that network impedance fluctuation caused by
consumer loads variability and changing network configuration can significantly
change voltage total harmonic distortion
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CHA1TER ONE
INTRODUCTION
Demand for 'uality power supply is becoming a ma7or issue for
consumer, especially large power consumer
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5ffect of high level of voltage or current harmonics can cause transformer
heating, nuisance tripping of fuse, circuit breaker and protective devices, high
current in neutral conductor and distorted voltage waveform. %apacitors are
sensitive to harmonic voltage while transformers are sensitive to current
harmonics. There are many researches which study the effect of harmonics
which affects both utility and consumers. "reater concerns have been
e(pressed by industries which have e'uipment or processes that are sensitive
to distortion on the supply voltage which affect their plant operation and
productivity.
$esonance is another problem related to harmonics. It occurs when
harmonic current produced by non/linear load interacts with system impedance
to produce high harmonic voltage. Two types of resonance can occur in the
system, either series resonance or parallel resonance, depending on the
structure of the network. This problem is most common in industrial plant due to
the interaction of series of power factor correction capacitors and transformer@s
inductance.
!ll triplen harmonics
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5,2 S".$#.(#s '$ H.(!'$i+
Institute of 5lectrical and 5lectronics 5ngineers
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be e(ceeded for short duration. I5% has provided a set of time/varying limits
based on percentile over a period of time i.e. 81thand 88thfor very short time
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method is considered to be less e(pensive compared to active filter. The
method uses power electronic to emulate resistive behavior for harmonic.
+owever, the method is still under further study. %urrently, all harmonic
mitigation techni'ues involve e'uipment re'uired to be installed on the system.
There is yet a study on using other factors which can affects harmonic voltage
distortion such as network impedance. *ptimi:ing network impedance to
mitigate harmonic can be cost effective for utility to apply. Because of mitigating
harmonic is e(pensive, many utility company have resorted in imposing penalty
to consumer for in7ecting current harmonic above the standard steady state limit
into the system. This process re'uires method on determining harmonic
contribution by the consumers
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within distribution system, especially factor that within its influence where they
can be controlled or managed. The factors which can contribute to harmonic
voltage fluctuation will be discussed in detail in section ).2.
5,; I$#s"(i.& A(e.
Setting up of an industrial area or industrial :one has become a common
practice in many countries where all industrial plant is located within a certain
geographical area. There are many reasons for the set up such as economic
consideration, safety issues and environmental concern. The development of
industrial area has also caused a uni'ue electrical distribution system with
uni'ue electrical characteristic, power 'uality and system stability re'uirements.
Due to the strict re'uirements from consumer to utility, consumers are provided
with redundant incoming feeders and the distribution network is supplied by
several sources from transmission system. The network is also operated by
e(tensive network control system to provide stable and reliable supply to
consumers.
tility monitors power supply 'uality of an industrial area at the
incoming feeder after the step down transformer from transmission system. 3or
harmonic monitoring, this point is the point of common coupling. The reason for
choosing the point is to ensure harmonic pollution from the industrial area is not
being transmitted into transmission system and vice versa, and to ensure
harmonic pollution from one branch does not affect another branches
connected on the feeder. +armonic level on the feeder is the best indication of
harmonic 'uality in the network.
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5,< F.+"'(s C'$"(ib"i$* "' H.(!'$i+ F&+"."i'$
!nalysis into factors contributing to harmonic voltage fluctuation at
industrial area shows that changes in non/linear loads, network configuration
and number of linear loads within the network are the main factors. +owever,
utility has no control over the number and operational of non/linear load within
industrial plant which caused changes in production of current harmonic. The
only factors within utility@s control are configuration of the network and number
of consumer plants in the network. These two factors affect the network
impedance. &ooking in detail into network components, network total
impedance comprises of transmission system impedance, step down
transformer impedance, cable impedance and consumer@s plant network
impedance.
Transmission system network impedance looking from the low voltage
side of a step down transformer varies slightly over time because of the
impedance of a step down transformer dominates and does not vary much.
%able@s impedance is also constant and can be assume steady. +owever,
number of consumer plant in the network and their load demand changes over
time depending on plant operation and unforeseen tripping. *verall network
configuration can also change due to switching process. These two factors,
consumer load variability and network configuration changes, are the main
factors which utility can use to mitigate harmonic voltage.
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5,= E6.&."i$* H.(!'$i+ Ch.(.+"e(is"i+
In order to determine the effect of the above factors on harmonic voltage,
network harmonic characteristic is important as a baseline for comparison. The
characteristic must be able to indicate the effect of time varying nature of
harmonic. Since ma7or contribution of harmonic voltage is the fluctuation of load
impedance under normal operation, development of harmonic characteristic of a
network due to load variability is crucial. There is currently no specific method
been developed to determine or predicting harmonic characteristic of a certain
network, other than fre'uency scan for resonance analysis which only
applicable for steady state analysis. 3or this study, since utility is able to
determine the statistical loading pattern of a network, the probability of loading
can be used to develop and estimate the probabilistic aspect of harmonic.
5,8 Ob>e+"i6es .$# S+'?e '% Rese.(+h
The ob7ectives of this study were to determine methods for utility to
reduce harmonic voltage in meeting standard@s steady state limit of 1 voltage
T+D and time varying limit of 81 thpercentile voltage T+D within steady state
limit at #%%. The second ob7ective is to determine methods of reducing
harmonic voltage with little or no cost. The study focused on distribution network
for industrial area which has the capability of switching into other configuration
since the network normally has different possible sources, backup and
redundant feeders to ensure reliability of the supply system. !ction plan for this
study were as followsG
). To determine whether varying consumer load increases harmonic
voltage.
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. To determine amount of changes in harmonic voltage due to si:e
of varying consumer load.
-. To determine amount of change in harmonic voltage due to
location of varying consumer load.
. To determine changes in harmonic voltage due to switching
network configuration.
1. To determine changes in harmonic voltage due to adding
consumer load into e(isting network.
5,@ Me"h'#'&'*y
In order to achieve the ob7ectives, the following protocol had been set up.
Select and gather data on industrial area distribution
network configuration and components
Decide method on modeling of e'uipment for harmonic
analysis and method of simulation
odel the selected industrial area distribution network
Simulate identified factors affecting harmonic voltage
!naly:e data using statistical techni'ue and compare with
calculation based on design values
%onclude the research, suggest and recommend mitigating
action
Base on protocol and action plan a flow diagram of research
methodology was drawn and shown in 3igure ).).
9
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Fi*(e 5,5 Me"h'#'&'*y %&'7 +h.("
5,50 C'$"(ib"i'$ '% This S"#y
The outcome of this study is important to utility in controlling harmonic
voltage and improving power 'uality without huge investment in mitigating
e'uipment. %omponents which are affected by harmonic voltage will have
longer life and cost of maintenance is reduced. %onsumers will also benefit from
the method since utility is able to provide better power 'uality. System design
engineers can use the method in planning of electrical system and control
engineers will be able to use the method in controlling harmonic voltage.
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5,55 O6e(6ie7 '% Thesis
This thesis discusses and analy:es harmonic voltage distortion at a utility
distribution network supplying to industries due to changes in consumer load
and network configuration. The analysis determines the condition which can
reduce total harmonic voltage distortion T+Dv at point of common coupling.
$ecommendation to reduce harmonic voltage distortion was proposed which
can be integrated into the network control system.
The content in %hapter provides reader with the applicable standards
for harmonic, harmonic mitigation, probabilistic aspects of harmonic, economic
consideration and effect of network impedance on harmonic. $eviews from past
studies by researchers related to those issues were presented.
%hapter - discusses the method of simulation and the process flow of the
simulation. 5ach factors contributing to the changes to harmonic voltage at #%%
were taken into consideration for simulation. ethod of calculations and
analysis were also presented in this chapter.
%hapter contains information on test distribution network system
together with component data and test values that were used for analysis.
ethods for modeling and calculation of each component in the network were
described in details.
%hapter 1 e(hibits the simulation results and analysis together with
discussion of the overall situation. ! conclusion of the thesis was presented in
%hapter 2 which includes recommendation for future studies.
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CHA1TER TWO
LITERATURE SURVEY
2,5B.+*('$#
The studies re'uired broad knowledge of the issues regarding harmonic
in power system, the standard limit and re'uirements, modeling and simulation,
issues related to utility and consumers especially at an industrial area, and
result from studies by other researchers. !ll this information is necessary to
address the changes and dynamic of harmonic voltage at an industrial area.
The following sections include brief knowledge of harmonics and reviews
on papers related to relevant harmonic standards and re'uirements, mitigation,
probabilistic aspects, cost of mitigation and effect of harmonic impedance
variability. The review focus on studies related to harmonic in power system with
regards to relation between utility and consumers. The reviews also pointed out
the differences and similarities between previous studies and this research.
2,2 B.si+ '$ H.(!'$i+s
I555 #5S Hinter eeting )886 provides basic harmonic theory which
according to 3ourier theorem, periodic non/sinusoidal or comple( voltage
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++= )]cos([)( 0 nn qtnaatf
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1
2
2
V
V
THD n
n
V
==
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%urrent magnitude of all phases for all harmonic fre'uencies is e'ual for
a balanced system. &ooking at e'uations
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and balanced it can be assumed that the characteristic of industrial area
distribution network is also balanced. This includes the non/linear loads. 3igure
. shows an actual e(ample of an industrial network at #enang Island.
The proportion of three phase loads to single phase loads is large.
Therefore, current harmonic produced within industrial plant and subse'uently
penetrated into utility distribution network is considered balanced. Investigation
on harmonic characteristic on a real industrial area shows that harmonic voltage
is practically balanced as shown in 3igure .-. Since step down delta/wye
grounded transformer at the entrance of industrial plant can block triplen
harmonic, triplen current harmonic is almost non/e(istence in utility distribution
network. 3urther observation shows that, even harmonic order is minimal as
shown in 3igure .. It is can be assumed that harmonic characteristic of
industrial area distribution network is similar to the characteristic of industrial
plant.
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Fi*(e 2,2 A KV I$#s"(i.& A(e. Dis"(ib"i'$ Ne"7'(,
17
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Fi*(e 2, B.&.$+e# h.(!'$i+ +h.(.+"e(is"i+ ." i$#s"(i.& .(e. $e"7'(
Fi*(e 2,9 Mi$i!.& &e6e&s '% "(i?&e$ .$# e6e$ +((e$" h.(!'$i+
3igure .1 shows a simple industrial area distribution network with
current harmonic flows from all branches and transmission system into #%%. !s
an e(ample, current harmonic from transmission system IhT flowing into
distribution network incoming feeder and combined with network impedance
creates harmonic voltage distortion at #%%. If the harmonic voltage at #%% is
18
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lower than limit, harmonic voltage down the line at consumer@s feeder should be
lower. Similar situation happen with current harmonic from other branches.
2,9 H.(!'$i+ S".$#.(#s
I555 has come out with a guidelines and standard regarding harmonics
in the I555 standard 1)8/)88 KI555 $ecommended #ractices and
$e'uirements for +armonic %ontrol in 5lectrical #ower SystemsL. The Standard
is a guide in designing of power systems with nonlinear loads. The limits set are
for steady/state operation and recommended for worst case scenario. The
'uality of power is observed at point of common coupling
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The standard generally provide information and guidelines on sources of
harmonics, resonant condition due to harmonics, fre'uency response and
modeling for transmission and distribution system, effect of harmonic, balanced
and unbalanced system, measurements and steady state limits. The voltage
distortion limits are used as a system design values set for worst case scenario
in a normal condition. +owever, the worst case scenario is normally referred to
ma(imum current harmonic penetration. 3luctuation of harmonic impedance in
the system can also cause an increase in harmonic voltage. This study looks at
varying factors of harmonic impedance within a distribution network and
compare with harmonic voltage distortion limit at point of common coupling
using design components values and ma(imum current harmonic penetration
from a single source. Table ., .- and . are the harmonic current and
voltage limits from I555 1)8/)88 standard.
T.b&e 2,2B.sis %'( h.(!'$i+ +((e$" &i!i"s b.se# '$ IEEE ;5@:5@@2
S%$ at #%% a(imum individual 3re'uency+armonic voltage -.9
9 .9 > .1
19 ).9 > ).1
)99 9.1 > ).9
)999 9.91 > 9.)9
T.b&e 2,C((e$" #is"'("i'$ &i!i" %'( *e$e(.& #is"(ib"i'$ sys"e!s -520V "h('*h
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T.b&e 2,9V'&".*e Dis"'("i'$ Li!i"s
Bus 0oltage at #%% Individual 0oltage Distortion
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2,; Ti!e V.(yi$* H.(!'$i+
Since harmonic is time variant, it is important to understand the factors
affecting the change. itigating harmonic to meet with standard steady state
limit is essential to ensure system stability. +owever, since harmonic is time
variant, it is more practical to use time varying limit as an inde( to evaluate the
state of harmonics in a system. 3igure .2 shows an actual voltage total
harmonic distortion
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statistical characteristics of harmonics resulting from multiple harmonic current
in7ection in a network. This research focuses on the effect of changes on load
condition and system configuration on network impedance which caused
changes in harmonic voltage at #%%. !s for fluctuation of current harmonic, a
ma(imum value was used to determine worst case scenario. To reduce
comple(ity of simulation and calculation, a single harmonic source is used since
the purpose of this research is to determine the characteristic of load and
system configuration which can reduce harmonic voltage at #%%.
!naly:ing time/varying harmonic re'uires accurate modeling of power
system. The papers by %arbone et. al.
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%omparing this research and the paper above, both agrees on
accounting system impedance and current variability and their correlation to
obtain accurate harmonic voltage distortion. This research is similar in the
sense of taking into account impedance variability but concentrate on different
type network. The paper analy:e on industrial plant distribution network which
help customer in analy:ing harmonic distortion, while this research analy:e on
industrial area distribution network which assist utility to mitigate harmonic
distortion. 3actors needed for consideration in modeling distribution network
compare to industrial plant is the line and cable capacitance due to longer
distance. !nother one is the load modeling. &oad in industrial plant can be
easily identified as resistive, capacitive, inductive or combinations of those.
odeling is easy following I555 recommendation. tility is unable to determine
the configuration within an industrial plant, hence, aggregate load model
recommended by I555 is re'uired in analysis.
2,< H.(!'$i+ Mi"i*."i'$ .$# E+'$'!i+ C'$si#e(."i'$
+armonic mitigation has been a sub7ect of many researches. The most
common mitigation techni'ue is using filters, either passive or active. The paper
by I:har et. al.
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generated from customer side. tility re'uires an incentive to balance the cost
of mitigating harmonic.
There is little study to assist utility in mitigating harmonic which takes into
account the cost benefits analysis. There is a paper which studied a less
e(pensive method by $yckaert et. al
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2,= I#e$"i%yi$* H.(!'$i+ S'(+e
The paper K! %ritical Impedance / Based ethod for Identifying
+armonic SourcesL proposed a method to determine contribution of utility and
consumer on harmonic voltage and current level at point of common coupling
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)cos(si"uc
u
u EE
X
EIEQ ==
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The general case of harmonic source detection is as followsG
%alculate utility voltage 5upcc/IpccRuand %I
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CHA1TER THREE
SIMULATION AND ANALYSIS
Based on the factors within utility@s control which can affect harmonic
voltage
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,5 E%%e+" '% C'$s!e( L'.# F&+"."i'$ Sie
tility company has certain control over network configuration of a
distribution system and information on loading pattern of consumer loads over
certain time. This gives utility certain ability to predict and manage harmonic
voltage at predetermine #%%. +owever, utility has no knowledge on the e(act
electrical configuration of consumer plant. 3or the purpose of harmonic analysis
and modeling, an aggregate load model was used to determine harmonic
impedance of a consumer load which has been recommended by I555 #ower
5ngineering Society
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harmonic impedance. %ontribution of each consumer to total network
impedance with reference to #%% depends on the si:e of the consumer rated
impedance. +ence, changes in consumer impedance affect the total network
impedance variability and range of consumer impedance variability depends on
the si:e of consumer rated impedance. The greater the range of consumer
impedance, the more influence it impose on network impedance. Since
consumer harmonic impedance depends on load demand and load demand can
fluctuates from :ero
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Lc
L
PCC
ZZ
ZZ
+
=
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load further from #%% caused lesser impact on total network impedance
fluctuation range due to the load@s variability.
, E%%e+" '% Di%%e(e$" Ne"7'( C'$%i*(."i'$
Network impedance looking from #%% depends on impedance of cables
and consumer loads. %onfiguration of cables and consumers determine the
total impedance. Different configuration of cables and load produces different
impedance. The ob7ective is to minimi:e the impedance to reduce harmonic
voltage. Since from section -. shows that consumer further from #%% has less
impact, theoretically, configuration with longer branch network has less impact
on harmonic voltage variability at #%% compared to network with shorter
branches for the same amount of consumer load. This is as a result of in a
longer network branch many consumers are located far from #%%.
,9 E%%e+" '% Ne"7'( T'".& L'.#
Distribution network harmonic impedance is comprises of harmonic
impedance of transmission system, step down transformer, cables and
consumer load. %hanges in the number or configuration of these components
cause changes in the network impedance. 3rom e'uation
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of an aggregate load is inversely proportion to the total load demand of the
consumer plant.
,; V'&".*e T'".& H.(!'$i+ Dis"'("i'$ C.&+&."i'$
0oltage at each harmonic level was calculated using total network
impedance and harmonic current at each harmonic level. #rocess flowchart for
the calculation is shown in 3igure -.-. The voltage T+D was then calculated
using e'uation
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Fi*(e , 1('+ess %&'7+h.("s %'( +.&+&."i$* "'".&h.(!'$i+ 6'&".*e #is"'("i'$ -THD6 ." 1CC
The total network impedance for network in 3igure -. was calculated using
e'uation
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2branchZ is branch number total impedance
cnZ is cable impedance at load n
LnZ is load n impedance
;; is the symbol for parallel circuit calculation where
BA
BA11
1$$
+=
,< B.se&i$e %'( C'!?.(is'$
The normal operating network in 3igure -. is referred to as configuration
!, was the referenced original network. *ther possible configurations for the
network are shown in 3igure -.1, referred to as configuration B, and 3igure -.2,
referred to as configuration %. ! calculation of T+Dvat #%% for rated or design
values was done first to determine steady state distortion reference level for
comparison for configuration !. %alculations were done using ma(imum current
harmonic spectrum
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Fi*(e ,9 A KV Tes" #is"(ib"i'$ $e"7'( -C'$%i*(."i'$ A
Fi*(e ,; Ne"7'( C'$%i*(."i'$ B, B(e.e( BK2 is i$'?e$ ?'si"i'$ 7hi&e BK5 .$# BK .(e+&'se#
37
Q;$6.9S%%21!
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Fi*(e ,< Ne"7'( C'$%i*(."i'$ C, B(e.e( BK5 is i$'?e$ ?'si"i'$ 7hi&e BK2 .$# BK .(e +&'se#
,= E6.&."i$* 1('b.bi&is"i+ As?e+" '% H.(!'$i+ 6'&".*e
The purpose of this simulation was to establish harmonic voltage
characteristic as a result of combination of several varying loads in the network.
This simulation was done on all configurations !, B and %. 3irstly, each
consumer load was set to change randomly in seven load levels between )91
and 9 of the rated value as shown in Table -.). The 9 load level simulates
full outage of the plant while )91 load level demonstrates additional 1 load
increase from design value. sing random function
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T.b&e ,5L'.# V.(i.bi&i"y Le6e&
0a
riability
0!) )
91 6
1- 2
2 1
11 -
-
2 )1
4 9
To determine time varying aspect of harmonic, a probability density
function
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range depends on probability of average T+Dvwhich falls within the load range
as followsG
= )()( a#era$e#ba# THDPTHDP
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obtain a sample large enough for analysis, the simulation was performed on all
configurations !, B and %. ! correlation between both was re'uired to verify the
effect. %orrelation analysis was performed using analysis tool available in the
spreadsheet software
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network with several short branches, configuration !, produce different T+D v
compared to a network with longer branch
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simulation were tabulated and analy:e to determine the changes in T+Dv
comparing with design values without the additional load.
43
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CHA1TER FOUR
TEST NETWORK3 MODELING AND 1ARAMETERS
This chapter describes the test distribution network used in the
simulation and e'uations for modeling of all components involved in the
network. !lso included in this chapter are component@s parameters and
assumptions used in analysis. Simulation software was described together with
conversion of component@s model e'uations into the software code.
9,5 I$#s"(i.& A(e. Dis"(ib"i'$ Ne"7'(
tility distribution network for industrial area is complicated and has
many types of configurations. In order to study the behavior of harmonic voltage
due to changes in load and network configuration, a simplify network was used
based on actual configuration including component design values. +armonic
source in the system is simplified to a single source to eliminate calculation
comple(ity. &oads in the network fluctuate in time with constant power factor.
The assumption was based on each consumer plant has series of power factor
correction capacitors that maintain the plant@s power factor. *ther components
harmonic impedances in the network such as transmission system, step down
transformer and cables vary slightly in time and are considered constant
throughout the simulation. The test network is shown in 3igure .).
44
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The network is supplied from a )-?0 transmission system through a
step down )-?0;--?0 transformer. It has eleven consumers where one
consumer is connected directly at the incoming feeder and other ten consumers
are connected on two branches. There is one breaker at each branch, B?) for
branch ) and B? for branch . ! connecting line and breaker, B?-, connecting
the end of the two branches functioned as a backup line in the case of
malfunction or tripping of the other two breakers. The breaker is normally open
position
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9,2 C'!?'$e$" R."e# V.&es .$# I!?e#.$+e M'#e&i$*
The component rated values are from actual system of an industrial area.
Impedance modeling was based on papers produced by I555 #ower
5ngineering Society
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Q;$ ratio is the ratio of reactance to resistance in the system. The summary of
transmission system data based on average value given by utility is in Table
..
T.b&e 9,2T(.$s!issi'$ Sys"e! 1.(.!e"e(
3undamental 0oltage )-?0
Q;$ ratio 6.9
Three phase short circuit current 21 !
The impedance of the transmission system was modeled using series
resistance and reactance and calculated in e'uations
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Therefore, the harmonic per unit impedance of transmission system at each
harmonic is given byG
'uhjhZ! )1626#0(0203#0)( += Vh 2n ), n),,-,EW
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!ll lines connected to consumers are underground cables and lines.
#arameters for the cables are taken from manufacturer datasheet. #arameters
re'uired were length, resistance, reactance and capacitance of the cables.
Details parameters for the cables are listed in Table .-.
T.b&e 9,C.b&es D.".
%ables &ength
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.
&jhXRhZ ooa&no )()(mi" +=
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!ll consumers load in the network branch were assumed to be linear and
have rated power
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P is the active power
Therefore, as shown in e'uation
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+armonic *rder #er unit $elative angle
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T.b&e 9,
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