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Analysis of IEEE Harmonic Limits under Resonance Conditions

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Abstract— Resonancerepresent sapotenitalt hreatt ot hei ntegrtiy m e t s y s r e w o p f o s e l p m a x e y n a M . m e t s y s y r e v il e d r e w o p f o

n a n o s e r y b d e y o rt s e d s t n e n o p m o

c ceaboundi nl tierature .tIi susually s s e rt s e r e v e s e s u a c n a c t a h t t n e r r u c d n a e g a tl o v e g r a l h ti w d e t a i c o s s a

y lt n e u q e s b u s d n a s t n e n o p m o c m e t s y s r e w o p f o n o it a l u s n i e h t n o

n i s tl u s e

r system faliure.s oT dea l wtih the phenomenon, o

p n i s l e v e l t n e r r u c c i n o m r a

h we rsystem sneedt obemanaged .The r e w o p n i s l e v e l c i n o m r a h t i m il o t d e s u y l e d i w s i 9 1 5 d r a d n a t s E E E I

t a n o it r o t s i d e g a tl o v c i n o m r a h s e s s e r d d a d r a d n a t s s i h t t s li h W . m e t s y s

l b a n u s i ti , ) C C P ( g n il p u o c n o m m o c f o t n i o

p et omiitgatet hei mpac t T

. s e s a c e m o s n i e c n a n o s e r c i n o m r a h f

o hepaperexaminest heI EEE e h t f o s t c e p s a s e s i v e r d n a s n o it i d n o c e c n a n o s e r r e d n u s ti m il c i n o m r a h

. e c n a n o s e r s u o r e g n a d d e c u d n i e v a h o t d n u o f s ti m il E E E

I

s d r o w y e

K Ferroresonance ,Cable-fed rtansformers ,EMTPRV , s

i s y l a n A n o i s s e r g e

R .

.I INTRODUCTION

l a r u t a n s ti n e h w e c n a n o s e r c i n o m r a h n i s i m e t s y s A

e m a s e h t f o e c r u o s c i n o m r a h a y b d e c r o f n i e r s i y c n e u q e r f

n e u q e r

f cy [1 ] 2][ . High level s o f harmonic curren t can i

u q e e g a m a d r o s s e rt s y ll a m r e h

t pmen t[3] .The ilkeilhood o f t n a n o s e r a f i d e s a e r c n i y lt a e r g s i g n ir r u c c o s t c e f f e h c u s

m o r f e g a m a d t n e m p i u q e f o t n e t x e e h T . s r u c c o n o it i d n o c

l a u d i v i d n i f o e d u ti n g a m n o t n e d n e p e d s i e c n a n o s e r c i n o m r a h

c i n o m r a h e li h W . a rt c e p s c i n o m r a h e h t n i t n e r r u c c i n o m r a h

a n o s e

r nce induced by high harmonic curren tcan be very c i n o m r a h w o l y b d e c u d o r p e c n a n o s e r c i n o m r a h , g n i g a m a d

. t c e f f e o n r o e lt ti l e v a h y a m s t n e r r u c

, t n e m p i u q e g n it c e f f a y l e v it a g e n m o r f s c i n o m r a h t n e v e r p o T

i d n a s l a n o it a

n nternaitona lstandard shaveestabilshed ilmi ton o t d e s u y l e d i w s i 9 1 5 d r a d n a t s E E E I . s n o i s s i m e c i n o m r a h

s a w d r a d n a t s e h T . m e t s y s y r e v il e d r e w o p n i s c i n o m r a h l o rt n o c

n i d e s i v e r s a w d n a 1 8 9 1 n i d e c u d o rt n

i 1992 [ ]4 . I tclealry

. n o it r o t s i d t n e r r u c d n a e g a tl o v h t o b r o f s ti m il d e h s il b a t s e

e h t t s li h

W se ilmti saddres sharmonic votlage distoriton a t u

o c n o m m o c f o t n i o

p pilng (PCC) ,i ti sunable to conrto l .

e c n a n o s e r c i n o m r a h

Convenitonally ,natura lfrequencie sare detuned to avoid

n a p m o C y ti c ir t c e l E e h t h ti w s i l u f u d E e g r o e

G yo fGhana ,P.O .BoxAN

a r c c A , 8 7 2

5 -Notrh , Ghana . (phone : +233- 62 - 24 1 -3 736 ; e-m ai:l m

o c . o o h a y @ l u f u d e e g r o e

g

r e h c a e T , x e l p m o C l a n o it a c u d E n o s k c a J h ti w s i n o s k c a J A r e z e n e b E

R e s a u d e y A 5 1 1 . t n e m tr a p e D g n i n i a r

T oad , Kumasi-Ghana . e-mali :

m o c . o o h a y @ 1 a e n o s k c a j

e r o m s i d o h t e m s i h t , r e v e w o H . e c n a n o s e r c i n o m r a h

n u t e d s a g n i g n e ll a h

c ed natura l frequencie s create futrhe r e

v it c u rt s e d e r a t a h t s t n i o p t n a n o s e r l e ll a r a

p . Usually ,resonan t

e h t n i s e g n a h c e h t n o p u g n i d n e p e d d n u o r a s g n i w s y c n e u q e r f

f o n o it a z i n a g r o e r r o n o i s n a p x e n a y lr a li m i S . e c n a d e p m i m e t s y s

g n ir b y a m m e t s y s n o it u b ir t s i d e h

t ou ta resonan tcondiiton

a n i k n a b r o ti c a p a c a f i n e v E . e r o f e b d e t s i x e e n o n e r e h w

, s n o it i d n o c e c n a n o s e r t n e r r u c e p a c s e o t d e z i s s i m e t s y s

e b t o n n a c s n o it i d n o c e c n a n o s e r e r u t u f m o r f y ti n u m m i

s e g n a h c m e t s y s o t g n i w o d e e t n a r a u

g 5[ ].

a h t d e t o n r e v e w o h s i

tI t thedesrtucitvepowe ro fresonance f

o n o it c n u f a s

i harmonic curren tmagntiude .Therefore the t

c e f f

e i vewayo fconrtolilng resonancei sto rely on harmonic e

c u d e r t a h t s l e v e l n o i s s i m

e theimpac tofr esonance .Thepape r ,

e r o f e r e h

t examinest heI EEEharmonic ilmti sunderr esonance e v a h o t d n u o f s ti m il E E E I e h t f o s t c e p s a s e s i v e r d n a s n o it i d n o c

e c n a n o s e r s u o r e g n a d d e c u d n

i .

.I

I THEORETICALFRAMEWORK

e g r a l f o n o it a ll i c s o o t s r e f e r y ll a r e n e g e c n a n o s e r m r e t e h T

t a l e r a o t e s n o p s e r n i d e c u d o r p m e t s y s a f o e d u ti l p m

a ively

r a e n r o e m a s e h t s i t a h t y c n e u q e r f a g n i v a h n o it a ll i c s o l l a m s

m e t s y s e h t f o y c n e u q e r f l a r u t a n e h

t [10] . In harmonic

n , e c n a n o s e

r atura l o r resonan t frequency i s exctied by e

c i v e d c i n o rt c e l e m o r f t n e r r u c c i n o m r a

h .In powe rdeilvery

t , m e t s y

s herearet wo form so fharmonicresonancewhichcan e

c n a n o s e r s e ir e s d n a e c n a n o s e r l e ll a r a p : r u c c

o .

y c n e u q e r f c i n o m r a h a n e h w s r u c c o e c n a n o s e r l e ll a r a P

n o n a y b d e c u d o r

p -ilnearl oad closelycoincide swtihapowe r y

c n e u q e r f l a r u t a n m e t s y

s [ - ]61 . 2 In paralle lresonance, the h g i h y l e m e rt x e o t s d a e l h c i h w h g i h s i ti u c ri c a f o e c n a d e p m i

e g a tl o v r e v

o .Paralle lresonance i scommon when there are e g r a l h ti w d e t c e n n o c s e n il C A g n o l r o s k n a b r o ti c a p a c

s r e m r o f s n a

rt [ . 2] 1 e r u g i

F show sanexampleo faparalle lharmonicr esonance cricui.tParallelr esonanceoccur swhenSW1i sclosedandt he

c i n o m r a

h source(AC1 )i sconnected paralle lto t heinducitve )

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o r f n e e s s

a Poin tAi nFig1i sshowni nFig2.I tcanbeseen e

p m i h g i h s t n e s e r p t i u c ri c e h t t a h

t dance (20-ohms )a t ti s

. z H 0 0 2 3 f o y c n e u q e r f t n a n o s e r

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r f o t c e f f e e h t e v r e s b o o

T esonancei nFig2,harmoniccurren t y c n e u q e r f t n a n o s e r e h t o t l a u q e y c n e u q e r f a f o ) A 0 0 1 ( e c r u o s

t c e f f e e c n a n o s e r e h T . ti u c ri c e h t o t n i d e t c e j n i s a w t i u c ri c e h t f o

y fi l p m a t i u c ri c e h t n i t n e r r u c d n a e g a tl o v : 3 g i F n i n e e s e b n a c

9 y b s e v l e s m e h t y l p it l u m r

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m e t s y s e h t ,s u o r e g n a d g n i m o c e b m o r f e c n a n o s e r t n e v e r p o T

w o l e b d e c r o f e b t s u m t n i o p y c n e u q e r f l a r u t a

n harmonic

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. e c r u o s c i n o m r a h e h t m o r f y a w a y c n e u q e r f l a r u t a

n Seire s

r l e ll a r a p e h t m o r f s r e f fi d e c n a n o s e

r esonance in ti s low

e h t o t r a li m i s s i e s a c e h T . y c n e u q e r f e c n a n o s e r a t a e c n a d e p m i

s t n e r r u c h g i h , s e g a tl o v h g i h f o d a e t s n i t u b , e c n a n o s e r l e ll a r a p

s e ir e s , y ll a it n e s s E . ti u c ri c e c n a d e p m i w o l a h g u o r h t w o lf

q e r f d e x if a t a d e n u t r e tl if c i n o m r a h a s i t n a n o s e

r uency to

n i a r d r o e c u d e

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n o it r o t s i d c i n o m r a h

o s e r s e ir e s f o e l p m a x e n

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e e s e b n a c e c n a t c u d n i s e ir e s e h t f o t c e f f

e in the frequency

-n i n w o h s t o l p e c n a d e p m

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t h t a p e c n a d e p m i w o

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F :Frequencys canandi mpedanceass eenf romBus- 1 .)

4 g i F e c n e r e f e r ( e h t f o t c e f f e e h

T seire sresonan tcricui tort heseire s iftle rcan 6

g i F n i d e v r e s b o e

b .Votlagespikei sseen att hei nstant t he t u b e v it c u rt s e d e b d l u o c s i h T . d e s i g r e n e s a w e c r u o s c i n o m r a h

n a

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f

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g a tl o v e h t d n a t n e r r u c e h t d e c u d e

(3)

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F :Reducitoni nvotlageandcurren tmagniifcaitons g n i c u d e r t a h t d e t o n e b n a c t i , n o i s s u c s i d e v o b a e h t m o r F

s y s r e w o p n i s l e v e l c i n o m r a

h temi skey in resonance impac t c i n o m r a h E E E I e h t , s n o it c e s t n e u q e s b u s e h t n I . t n e m e g a n a m

e b l li w 9 1 5 d r a d n a t S E E E I y b n e v i g s a s ti m il n o i s s i m e

, y r a s s e c e n e r e h w d n a s n o it i d n o c e c n a n o s e r r e d n u d e n i m a x e

h c if i c e p s e s i v e

r armonic ilmti sfound to induce dangerous .

e c n a n o s e r

.I I

I METHODOLOGY

E E E I e h t e n i m a x e o t d e s u d o h t e m s t n e s e r p n o it c e s s i h T

. s ti m il c i n o m r a

h The study wa sbased on modelilng and n i d e s u d o h t e m e h T . V R P T M E e h t g n i s u n o it a l u m i s

e c n a n o s e r e h t g n i n n u r d n a s t n e n o p m o c m e t s y s e h t g n il l e d o m

e r a s n o it a l u m i

s explained. .

AFrequencyScanTechnique l a n a e c n a n o s e r c i n o m r a h e h t n

I ysi ,sf requencys cantechnique .

d e s u s a

w Thist echniquei salsocalledthei mpedances can t.I s

tI . s i s y l a n a c i n o m r a h e h t f o p e t s t s ri f e h t y ll a m r o n s

i p irncipa l

e h t t c e t e d o t s i e v it c e j b

o possibler esonancef requenciesi nt he l

a c ir t c e l

e network[13]. .

BIEEEShort-Circui tRaito s

c i n o m r a h r o f s ti m il s e h s il b a t s e 9 1 5 d r a d n a t s E E E I e h T

e r a s ti m il n o i s s i m e e h T . m e t s y s y r e v il e d r e w o p n i s n o i s s i m e

tr o h s n o d e s a

b -cricui t raito s (SCR ) a t poin to f common .

C C P g n il p u o

c The shor tcricui traito (ISCI/L )i sthe raito o f

I ( t n e r r u c t i u c ri c t r o h

s SC)t o t hecustomer’ smaximuml oad o r

I ( t n e r r u c d n a m e

d L) a tthe poin to fcommon coupilng .The

c i n o m r a h g n i v i g h c a e , s e g n a r t n e r e f fi d e v if n i e r a s o it a r

n o it r o t s i

d ilmi tfori ndividua lharmoniccomponent sa swel la s l

a t o

t harmonicdistoriton,s eeTable1.

.

CCapaciite so fTransformer sUsed

, 0 0 2 , 0 0 1 y l e m a n s e it i c a p a c t n e r e f fi d f o s r e m r o f s n a rt e v i F

e h t r o f d e ll e d o m d n a d e t c e l e s e r e w A V k 0 0 5 2 d n a 0 0 5 , 5 1 3

u m i s e c n a n o s e

r laitons . Transforme r raitng s from 100 to b

ir t s i d a s a d e if i s s a l c e r e w A V k 0 0

5 uiton rtansformer sandt he 0

0 5

2 kVA rtansforme rclassiifeda sapowe rrtansforme.r n o it n e t n i l a n i g ir o e h t ,s r e m r o f s n a rt d e t c e l e s e h t f o h c a e r o F

m il c i n o m r a h E E E I e h t e n i m a x e o t s a

w ti sa tallt hegivenSCR s

n o it u b ir t s i d e h t t a h t d n u o f s a w t i ,r e v e w o H . 9 1 5 E E E I e h t n i

d n a m e d m u m i x a m d e ri u q e r e h t r e v il e d t o n d l u o c s r e m r o f s n a rt

s s e l f o R C S t

a than the 20 range .The maximum demand .s r e m r o f s n a rt e h t f o y ti c a p a c e h t n a h t e r o m s a w d e ri u q e r

R C S d n a 0 0 0 1 o t 0 0 1 f o s R C S t a t a h t d n u o f o s l a s a w t I

0 0 0 1 r e t a e r g e g n a

r ,t hemaximumdemand srequried weret oo o

t l l a m

s be considere d fo r the study . A s a resutl , the e

n i m a x e o t d e s u e r e w s r e m r o f s n a rt n o it u b ir t s i

d the IEEE

s ti m il c i n o m r a

h att he20-50and5 -0100SCRs yo . nl

o t e l b i s s o p s a w t i , r e m r o f s n a rt r e w o p e h t f o e s a c e h t n I

. s R C S e v if e h t l l a t a s ti m il c i n o m r a h E E E I e h t e n i m a x

e I t

e r a s R C S e h t f i s a d e r a e p p

a more appilcable to powe r

.s r e m r o f s n a rt

.

DShor tCircui tCurrent

e t a l u m i s o t d e s u s a w V R P T M E e h

T the shor tcricui t

m o r f k n il g n it c u d n o c a g n it c e n n o c y b e n o d s a w s i h T . s t n e r r u c

h c ti w s h g u o r h t d n u o r g e h t o t r a b s u b e h

t -2,s eeFig7.

.

E Shor tCircui tRaitoChosenf ort heAnalysis

s a w o it a r d e x if e n o , s R C S e h t f o s e g n a r e v if e h t f o h c a e n I

rt e h T . d e t c e l e

s ansformer swere then loaded to a maximum e v it c e p s e r e h T . s o it a r d e x if e s e h t m o r f d e t a l u c l a c d n a m e d

e l b a T n i n e v i g e r a g n i d a o l g n i d n o p s e r r o c r i e h t d n a s o it a r d e x if 2.

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E E E I o t g n i d r o c c A . s t n e n o p m o c m e t s y

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l b i s s i m r e

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d e h s il b a t s e e b d l u o c t i ,r a f o s s i s y l a n a e h t d n a s tl u s e r e h t n o

d l u o c s R C S e m o s t a s ti m il n o i s s i m e c i n o m r a h E E E I e h t t a h t

r r u c s u o r e g n a d n i t l u s e

r en tampilifcaiton in resonance .In s ti m il c i n o m r a h e v it c e p s e r r i e h t d n a s R C S , w o l e b 5 e l b a T

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Table5 :SCR sandt herir especitveharmonic ilmtiss tatus R

C

S <20 20-50 50-100 100-1000 ˃1000 s

u t a t s t i m i

L safe Disrtucitve Disrtucitve Disrtucitve safe

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CControlilngHarmonicCurren tAmpilifcaitoni nResonance s

A explained in chapte rfour ,harmonic emission ilmti sin 0

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r Thi s

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r o f s n a rt n o it u b ir t s i

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d n a e f a s d n u o f e r e w ) 0 0 0 1 r e t a e r g d n a 0 2 n a h t s s e l( s R C S t a

. d e s i v e r t o n e r e w e r o f e r e h t

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. e n o z y t e f a s e h t n i h ti w

e h t d n a 6 e l b a T n i n w o h s e r a s ti m il d e s i v e r e h T

s A . 4 . 5 g i F n i n w o h s e r a s l e v e l n o it a c if il p m a g n i d n o p s e r r o c

e s e b n a

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d e g a n a m s i e c n a n o s e r f o t c e f f e g n it a ti li b e d e h t , y lt n e u q e s n o C

s ti m il e s e h t t a d e ll o rt n o c d n

a .

e l b a

T 6 :Limti sRevisedi nSCRs( 20-50 ,50-100 ,100-1000)

g i

F 13: AmpilifcaitonLevelsf romRevisedLimtis RSC < 02

RSC ˃ 01 0 0 RSC = - 0205 RSC = - 0501 0 RSC =100- 01 00

0 0 1 R C

S - 01 0 0

0 5 R C S - 01 0

2 R C S 0- 05

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n i h ti w w o n e r a s n o it a c if il p m a e h t ll a , 3 1 g i F n i n e e s e b n a c s A

. e n o z g n it a r e p o y t e f a s e h t

.

VCONCLUSION

e h

T pape rha spresented and analysed resutl sobtained from E

E E I e h T . s e i d u t s e c n a n o s e r c i n o m r a h e h

t harmonic ilmti s

. s n o it i d n o c e c n a n o s e r r e d n u d e n i m a x e e r e

w Thef ollowingare

: s e i d u t s e h t m o r f s n o i s u l c n o c

.

1

Appilcaiton o fIEEE harmonic emission ilmti s a t

0 2 f o ) s R C S ( s o it a r ti u c ri c t r o h

s -50 ,50-100and100

-i d n o c e c n a n o s e r r e d n u e v it c u rt s e d e b n a c 0 0 0

1 itons

.

.

2 Distirbuiton rtansformer scanno tbeused t o examine . s o it a r s ti u c ri c t r o h s e m o s t a s ti m il c i n o m r a h E E E I .

3 Powe r rtansformer scould be used to damp abou t %

5

3 curren tampilifcaitoninr esonance . .

4 Toconrtolr esonance ,harmonic ilmti sa tsomeoft he r e w o l n i d e tl u s e r n o it c u d e r e h T . d e s i v e r e r e w s R C S

m e t s y s o t e f a s e r e w t a h t s n o it a c if il p m a t n e r r u c

s t n e n o p m o

c .

.

5 The mos t effecitve way o f conrtolilng harmonic s l e v e l o t s t n e r r u c c i n o m r a h e c u d e r o t s i e c n a n o s e r

m a t n e r r u c , e c n a n o s e r n i n e v e t a h t h c u

s pilifcaitonwli l

.s l e v e l s u o r e g n a d e m u s s a t o

n The revised IEEE

c i n o m r a

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