Modeling Transformers With Internal Incipient Faults

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c     cc   cc   c  c R    R R c  cc R     R

Abstract² c ccc     c c c  c c c  c  c c c c   c   ccc    c c ccc

c    c cc   c   cc  c c  c c  c   c c

cc c  c cc  cc   c     c c

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 cc c  c  c c c cc  c  c c c c c c c c c

   cc  c  c

cc c c

c c c c cc c c cc

ccc  c   c c

c  c cc c   c ccc   c c  c

c c    c ccc  c  cc   c c

  cc c  c  c  c!   cc c  cc   c c c!   c  c     c c  c   c  cc c    c  c   ccc   c   c  ccc c

 c Index Terms¦ c   c     c  c

   c  ccc c c I. INTRODUCTION IÔ"#Ôcc  c  c  cc  c  c    cc  c c c   c c c! cccc   c c  c c    c cc! c

 c ccc c  cccc  c  cc    c  cc! c  c  c cc cc cc c cc    c    c     cc $ccc % c&  c c    cc'%&(c c! c c ) c ccc c*c c cc c  c * c   c     c c+ cc  c 

 c c  c c  c c c c c  c   c c  cc  c     c  c c ccc

   c c  c  c c   c,  cc c

 c cc

c cc  ccc    cc   c c c  c c   ccc c  c    c c  cc c   c cc  c cc c  c c  & c    c

 c c cc  cc c c    cc  c  c cc  c c  c   c -ccc    c c   c   c cccc  ccc cccccccccccccccc ccccccccccccccc c c  c c  c  c c c c     c  c  c c c

c&c  c  c  cc   c c c c c c  c c c   c c c c c c

c c ccc c c c  c c c  ccc  c  c  c ccc c  c  -cc   c  cc c  cc    c   cc c c c   c c

  c

  c c c    c   c.  cc c   c c  c c c  cc    cc  c  c   cc c c   cc  c  c c   c cc    c c

 +cc c c c

c c cc     c  c  cc

  c c  ccc     c  c  c  c !   c c  c c c*-c   c ccccccccccccccccccccccccc c  cc     c cc   c  c   cc  c c  c  cc&ccc c cc   c cc   cc c c  c c  c cc&ccc &c.c  c   c   c c  c c  c c!   c   c   c ccc&c.c

II. INTERNAL SHORT CIRCUIT FAULT MODEL ccccccc c ccc c c c    cc   cc

 c  c c  c c cc    c c c  c  c c c  cÔ&/0 c !c&  ccc ) c c c    cc c    c c c   cc  c c   c c  cc    c  cc c   c c  c  c c

c    c  c cc

  c

 cc   c c cc c  c&c c $cc   c cc1cc c c

c cccc c c c  c cc  c c   c c c cc  c c   c c c  c cc cc c

    c cc c cc

 ccc  c c c cc cc c

c c1c    c cc   c

c  c c c cccccccccccccc   c cc   cc c c c c  c  c   c  -c  cc c c c  cc c cc   cc c

III. DETERIORATING INSULATION MODEL ccccccccccccccc  c  c cc  c c c $ c  c c c  cc  cc     c2 cc c c c    c c  c c c c ccc c

  cc c  ccc

c c  c cc   cc  c  c  c +c c  cc

c c  c c c   cc c    c   c       c    c

  c c ccc c    c

c  c cc  c cc c c   c c

c     c"  c    c c   c cc c ccc   c) c c c

 cc c  c cc  -c c cc  c c c  c c c    c   c    c c cc   c

 c   c  c   c    c c  c c

 c   c

  c c   c   c c c   c c

 c $ c  c c c  c   cc c  c c c ccc   c c

  c c  ccc   cc   c  c  cc   c c c c c c  c   c cc c  c

c c  cc cc   c   c cc c c   c  c  c c c  ! c   c c c   c ccc     c c c c ccc   c cc   c cc c  c

 c c cc c     c cc  c    c cÔ c c c c  c c c   c c c  c cc c  c   c c cc c c c c c   cc-cc  -c ccc  c cc c   c cc c c c c c c cc c ccccc c cc   c c  c  c c  c c c  c  c

 c c  c c

 c  c cc  c

  c c c c   c  cc c  c  c  cc c c c c   c c c  ccc  c cc c c c c  -c c c c c   ccc  c c  c c cc c c cc c  c cc c -cc

c   c c  c c

c  c c c c c

c c ccc c

cc  cc c A. Aging Model: c  cc  c   c  c c   c c c c  cc   cc  $cc c c c  c c c c cc c3c4 5c cc c  c c cc c cc   c cc   c c c c c c   c c c c c ccc    c    cc c c  cc c -c c cc   c c c  c  c c cc cc  c c  c c + cc    c cc c  cc c'1(c c cc  c   ccc   c cc  c c cc  c c c  c  c c

B. Arcing Model: c c c c c c c   c  c c c

  c c  c  c  c

  c cc  c  + c cc  c  c

cc  c c  -cc c  -c c   c c  c cc  c c c

c   c/c! c c

c   c c c-c cc   -c cc c c c  c c,c c   c + cc   -c c    c c ccc   -cc c cc c c  c !   c   c c    c & c  c cc c c  c  c  *c c cc

c c c c  c c  c678cc1998c c c   c  * c cc c c

c cc c c c c c c" c  c cc c' (c  cc  c c' (c c c!c c c     c c  cc

 c  cc  c c c c  c c c cc c   c c cccc  cc c :cc cc c c c :cc *cc c c   c cc c c c  c  c c c   c c cc cccccc "cc &) #;c/c.)"&c/c .#"&c2)#Ôc2"#"Ôc %"#/2&c c&1c c c c&3c ccc

c c ccc  c c /  cc&1c cc c&3c c  cc c c ccc !c c c

"cc

c c G. Gombination Models    cc c  c

c ccc  cc  c c   c

 ccc  c   cc c c cc c

c    c c c  c c&1c c&3c c:cc c c  c+ c c c c c c    c c cc ccc  c  c   c+ cc   c   c  c c

  cc c c ccc  c  c c c+ c&1c c &3c ccc c    cc  c  c  c cc c c ccc c    cc c  c c cc c cc&1c c  c c&3c ccc c    cc  c c c&1c c c c&3c c cc  cc !c cc c c

cc c c c  c c cc   cc c   c   c  c ccc   c cc   c   c  c c c   cc  c  c "cc %# ""#&cÔcÔc /2"c /#c%# #;c)cc   cc c  cc c  c  c  c   cc  c c   c cc c   c c cc   c   c   c c "cc

c c c

IV. IMPLEMENTATION AND SIMULATION RESULTS

A. Transformer Parameters ccccc&   c c cc c c c  * c36c-.c <9c+c * c *  c     c c  c c !   c c c  c c c  c ccccc=cc c c c c7399cccccc .>3?9c.>139c.c cccc=cc c  c c 1768c c c   c  c1<38c cccc=cc  c c c7@9>3<c cccc=cc  cc c c ccc  :cc  c   c c c c   c cccc=cc  c cc  c cc  * c    c c

c c

c  c ccccc  * c    c c cc  c  c  cc c c c c   c  cc c  c ccc  c cc

c cc c B. Incipient Faults With Aging Model Only  ccc    c  c  c c cc

c  c  cc &ccc

 c c c c c  cc c   c cc $ c   c cc    c c   c ccc    c c  c!   c   cc c   cc   ccc cccccccccccc  c  ccc

c cc   c  c

c c' (c#  c c  c c cë cc@' (c

c' (c  cc c  c   c c  c c c c  c c19ccc  c  c c c ccc     c c  cc c   cc    c ccc cccA' (c c' (c cc    c cc# &c   c c  c c c  c ccc c c cc    ccc c c c ccc cc1Bc  c cc  cc c c

c ccccC4 5c c

c c C4 5c

c c c

V. CONCLUSIONS: cccccccc c  c  c cc     c cc   c c   ccc cc     c  c   c c c   c  c cc

c c c    c  c  c  c c ccc   c  c cc  c c c c c c c

c cc ccc   c   c c c  c

cc c  c c cc  c c  c 

cc c    c cc  c   c c  c ccc cc c  +cc c  c c c c & c*-c c  c   c  c  c  c c c  c c  c  +cc c  c c c cc     c cc* -c c!   c c  c c   c   c c c   c   c cc c     c  c  cc c   c c  c   c     cc c  c    c cc c   c cc  c -c cc c    c c c c cc c c  c c c  cc  cc

   c    c  cc  c cc     c cc  c c

ACKNOWLEDGMENT ccccccccccccc  cc   c %c%   *-c  c c c!   c   c cÔ&/c  c  c c c,  c  c c   c c

REFERENCES c415c,c"ccDc cc c,cc  cE"! c   c  c     c c   c c c c

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    Fcc            

 

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