A b st ra c t
A b s tra C t
W i t h m a s siv e a P P lic a tio n s o f t he P o w e r e le c t ro n ic e q u iP m e n ts in P o w e r
sy stem ，the h ann o n ie P o llutio n s h a s go n e fro m b a d to w o rse . f t h a s a d ram a tic e ffe e t
o n P o w e r q u a lity ，t he se c ru ity a n d e e o n o m ie a l o P e ra tio n o f P o w er
sys tem .Th e ref o re ，t h e a c e u r ate m e a su re m e n t o f th e h arm o n ie c o n te n t in P o w e r sy stem
15 v ery im P o rtant to P re v e nt the h arm o n ie h a z ard s an d m a in tain th e sa fe o P e ra tio n o f
Pow er 幼 ds.F ouri er tran sform (F F T ) algorithm 15 u su ally u sed as the Prim ary
m e th o d o f h a rm o n ie a n a ly sis b e e au s e o f its e a sily im P lem ent e d o n a m ie r o e o m P u t e L lt
e a n se d f en e e e f fe e t a n d sP e e t ra l le a k a g e to c a n y o l lt f ast f ou ri e r t ra n sf o r m o n
non 一syn chron ou s sam P lin g sequ en ee.O n account of that it giv es m easurem eni erro rs
an d c a n n o t m e et the req u ire d o f the a e cur a te m e asurem ent o n h 姗 o n ie s .Th ere f ore
w e tak e s the w in d o w s an d interp o late d F F T algo rith m s.A d d in g w ind o w fun ctio n o n
the sign a l e an re du e e the erro r e au sed b y the sP e e tral le ak a g e .M ean wh ile ，the erro r
w h ich 15 e a 哪 e d b y th e f en e e e f fe e t e a n b e r ed u e e d b y in terp o latio n a lgo r ith m .T o
耐 u e e sP e c tru m le ak a g e ，it sh o u ld ch o o se th e w in d o w w it h th e sm a ll P e ak sid elo b e s
an d fast d e e ay. B y e o m P 耐 n g tho ch ara e teri sti e s o f the wi n d o w s，it P ro P o se d the
w ind o w s an d inierp o la ted F F T algo rit加叭5 b a s e d o n the 3 一term E x a et一B la ek m an
w ind ow an d the 4 一term N uttall(I) w in dow .
Th e P aP er giv es the correction formu la for frequ en cy and eomP lex am P litude b y
ta ki n g t he w in d o w a n d in te r p o late d F F T a lgo rithm b a se d o n th e 3 一term
E x a e t一B la c 拓m an w in d o w f or e x a m P le .T o e o m P a re w it h t he o t he r w in d o w s a n d
in terp o late d F F T a lgo rith m s，it e o n e lu d e d th a t t he w in d o w a n d in terp o late d F F T
a lg o r ith m b a se d o n t he 3 一te rm E x a c t一B la c k m a n w in d o w r eq u ir ed m in im u m S a m P lin g
P e ri o d an d le a st o b s e rv a tio n tim e . I t h a s t h e sim P le st f or m u la a n d t h e m inirn u 们n
e a lc u late d a m o u n t o f t he w in d o w a n d in terp o la te d F F T a lg n r ith m b a se d o n t h e 4 一te n n
N uttall(I) w in dow. M ean w hile，the sid elob e h as the m ax imum rat e o f d ec盯 o f the
4 ~ten n Nu ttall(I) w in d ow . Wi th th e in erease o f the sam P lin g P eri o d ，the w ind o w an d
interp o lated F F T algorith m b ased on the 4 一ten n N u ttall(I) w in d ow gets the h igh est
e a lc u la tio n P re c isio n .
II
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