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0 m 6 m m a (2 6 )

Tocro ii "t"acrn anoxa-cacr-cacre: w!; ocro xaC n x.A.Ccrn -rn~ o-ra a.xpa 1:WV !3on -

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61..ax6n-cou , oe:60UEVOU 01:'1.. TO I' e:rva1.. TIOAU u1.. xo6-ce:po an6 1:'0 I . m m

·Ea-cw y1..a naoaoe:1..yua 6-c1.. crE Eva cr0cr-cnua -rou ax. 21

e:rva1.. x ~ 11,5 n, on6-ce: I = 20 . 000 A xaL OT I.. ETILOT)~

ea e:[va1.. L = X/w = 11,5/314 = 0,0.36 H om:S-ce: an6 -rnv

400 KV. 50 Hz

R = 100 Q .

( 2 2) '

RRRV = wI R = 314 x m 1 x 20 . 000 x 100 = 885,5 x 10 6 V/ s

n RRRV = 0 , 88 KV/µs

' Eav xoncr1..uono1..n8fi 6.v-cCcr-racrn 61..axonn!; R0 = 3.00 n 8a e:rva1.. :

1 00 x 300

100 + 300 = 75 Q

xaC RRRV = wI R' = 314 x {2 x 20.000 x 75 = 0,6·6 !<V/ µs m

-:33-

'Eav R0 = 100 O, n RB.RV 8a YLVOTav 0 ,4 4 KV/ms onA. n µLoi}.

Twpa a-rlc Son0nTLXE~ tna~t~ 6, YLa R0 = 300 Q

I'= E ~ 2 RR6 2

X + (R+R ) . 5

231 = = 3,04 KA= 3040 A ~11 ,5.L+7s 2

xa C 6.n6 ni ( 2 6 ) RRRV '= wI ' R = 31 4 /2 3 0 4 0 ( 1 0 0 + 3 0 0 ) ::: 0 , 5 4 KV/ µs ma

rLa R5 = 100 O, I'= 4.500 A xal RRRV'= 0,4 KV/µs.

4.7 ~Laxonn xuxAwUaToG L, c tv naoaAADAw

(5Laxonn SpaxuxuxAwµaTo~)

To SPaxuxuxAwµa To xapaxTnP~6EL xaunAo~ auvTEAEa-rri~ taxuo~ (nEPL ­

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Tnc ypaµun~ ue:Ta To 61.axonTn.

xal,

ie:y = kt'= wI t' m

fxoµe::

1 SL sC s /C Z ( s l = =

I

1 s 2 +1 /LC sL+-I. sC

I e:y ( s) k

=2 s

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=I (s) Z(s) e:y

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tx. 29 KuxAwµa

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0

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V = 2kL = 2wI L aem m ( 2 8 )

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co =.~ ~1A) ~x1~39~rt 1nAJ3 ~xov A~io 5~30~1 5yi LLD?"tx H.

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(SO:>-dxa UY0llrtDX) 501Drt~yxnxnXndg

µlloXD'IQ µi ~1DX 5~30?1DD1DXOllV UOV1 µx1y0An~ ££ "Xl .. ~ <· ol 0

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:> UI :;> Z v /llCI-a Z I~ = hmlCI

:1D13~)A µ1QD Ll.o001llJd3ll ~~10 llDJYX U101A?rt H.

( 1 t:) -~1 f = 000 1001!0 ..

(.~0ooAOD 1z/,~CI-a-1) UI3 =

( 0£) o gD

(.~ OOAOO 1z/.~CI-a-1) 1~ = A

'1D~23 gnA l.J.o~1 y 5D)Oll9 5~1 00A9Y '1 A~1 ~rt

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L A . '!:z

L ~~ Q

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c

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ri.a.

• Eav

u1..a pci.µna p e:uµa"tO\; EYXUO'EW\; ~xoµe::

k 1 = = s2 1 + _1_ +sc

=

80.A.ouµe:

R0

sL

k sC

a=

1 2 s 1 s +

R5C + LC

1 xaC 2R0C

1 .

sC (s+a) 2+w2 0

k 1

8 2 1 + _1_ +s~ R

0 sL

2 1 2 . i) w =--a I o L C

r

s / C s / C

(3 3)

1 2 = - - a LC =

1 LC

1 1 L ) = LC ( 1- 4Rjc

'Eav z = ·~ c v c

w 0

zc 2 - ( - ) 2%

zc -- --· ---2R > 1, OT')A . 2R5< Zc, n AUOT) e: r val. UTtOXP ~O'l.llT') .

, Y l. \JE"tal. ,

L

( 3 3 )

(34 )

(35 )

-38-

(r1.ci Zc = 2R Exoue: i:nv e:l5t.J.<.ri ne::pLn-rwon -rfi~ XPL <nua anocr!3e:v'Juµe:vn~

AUcre:w~ nou 68v EXEi. npaY.~1.xo tv61.acpEpov).

{8.1 Ile:oCn-rwan une: pJ.<.~LOt.Un~ AUOEWS

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xn ltf;Ccrwcrn EXEi. 6uo uvya6t.XEf; AUOE:l.f; • • H (34) ypd.cpe:-rai.'

va13

(s) k [! + Bs + LJ ) = c 2 2

(s+a.) + w 0

onou,

A = - B = LC ,

xai. D = - 2aA = - 2aLC

Etvai.,

kA c

(s+2a) J [1 _(_s_+_a_)~2-+--w~2 = kL s -0

= kL l 1s - s+a l (s+a)

2+ w2 0

a

(s+a) 2+

-1 r s+a l L 2 2 =

lcs+a) + w0

-at e O'U'VW t

0

-1 [ 1 -·--1 L ·2 2 = (s+a) + w

0

1 -at e nµw t w

0 O

[ -at i va~ = kL 1-e

. ";!L t----------- ~-'

( s+2a) 2 ( s+a) +

-~t

(36)

(37}

~x. 35 TO.cm 6.noxa-racri:cicre:w~ xux).wuaTo~ L/ / C µ€ 6.v-rlcr-racrn 61.axonf\~

-39-

'H tnl 6paon -rnc RQe:tvaL n tAa-r-rwon TcnC UnEpnn6noe:wc TnC "tdOEWC (xwplc a VT LOLaon e:tvaL 100%) XaL n 6LacpoponoLnon Tn~ OUXVOLnTOC.

4. 8. 2

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xal -r6

• Eciv .:.a.1

Tie:pLnTwon unoxploLun~ AUOEWC

Zc - > 1 2%

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ot " + ....s.... xaL ~2 PL r::Ec -rnc s l}c

6u6 npayua"tLXEC PLr::Ec. + _1_ ad EtvaL: = 0

LC

2 s 1 s + R5C + LC = ( s + a1 ) ( s + ~) (38)

~nou ot a 1 xaL a 2 EtvaL npayua"tLXOL apt.8UOL [au-re cpaL VE TaL an6 -rn

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xat'.:

= k c

= k [A + c s + D ] s+a2

(3 9)

(40)

Zc 'H UOP<Pn -rn!; TclOEW!; anoxa"taOLclOEWC YLcl xa8E "tLUn LOU A6you

2R

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R5 1 Tf;c crxtoEwc (33), y1.a chacpope:~ Tt.UE~ ToO n= z 2 s 1 c

s (s I ~+LC)

(A. Greenwood, Electrical Transients in Power Systems, Wi ley ,

. 1971).

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I"

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r-...

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Z.o

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OTaOEWG XaTa Tn OLaxonn epaXUXUHAWµaTOG µE avTLOTaOELG

5 LaxonnG,, µt napaµe:Tpo TO n = R/ Zc.

rraoaoe:Lyµa:

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25.000 MVA . Mnope:C va 6 L ax6~EL pe:Gµa ,

25 . 000 I = ----= 41 , 8 4 KA f3' 345

- - - -- - -- - - - -- --- - - - -

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'l-taT 1.. nou ouvr)aw~ E::n1.. TUYXa\Je:-ra1.. uE: £tn uovd.oe:~ E:v ae: 1..pa (ax. 37 ) •

'H Tl.Un Tn~ aUTETtaywyn~ L 'LOU auaTr)µaTOC YI. a Tel.an 350 KV e:tvaL:

L = 25.000 X 2 X TIX 50 = 15,6 mH

---Ls 62 63 64 . t 65

>h·· 52 53 ~---~

R R J_ R J_ R R R

I I I I I I

Mt.a TUTtl.'l-tr) Tl.Un TnG xwpnT1..x6TnTa~ 'LOU ~uyoO TWV 345 KV, OTtOU e:rvat.

auv6e:6e:uE:vo~ o 61..axonTnG e:tva1.. C= 25 pF.

T6Te::

Z . = e 1/2

~ ) = 789,94 n.

R6

= 394,97 Q

rt.a nTwan Tn~ TLUnG xopu~nG ano 2 a.u. XWPlG anoaee:an OE 1,4 a.u.,

µta~ 1 Twv ~aµnuAwv TOD ox. 36, EXOUE n - 1, 8 on6~e::

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aTaon TnG xci.8e: µovci.6oG e:rva1..:

R = 236 Q