Stability
Pon aeons
Saree “Pek
ore Fon
example 3
AMPLE 512
AOE I a noe cd oF 3
a cing ange ing te
wie ie ge genera ele
instant preceding the
®
ca, 5,
cB
2125 02s
‘solution
iret ay shown inthe Hire elow wher a
oneal ‘2 line near circuit breaker CBy
aad CO Tp qumitis ar on te common MVA-
Y taste actheto
Xr = 0.25 +05 + 0.06 = 0.81
= ISD gg = 1588s
Dat
05405 5 996 =
my aaas+ S205 «006 = 036 nd, -tnt-tasewh
(EI sing = '25*M ing = 2255s > (Sax ~ 50) =~ Prue? £0859 + Prue 3 ©O8S
y= Nang = MG Pand = 225050 cond, = 180 3
Pree = max 2
f x
2128 eas Ler ps0 2 _ LOI39.6= 2662); 95~ 0+ 1583 cosh39.6°
1.54320 =0.51640
wold 5 = 589°
r © ‘atin
exaneru $19. A220 MVA, 4 and 60 Hz syaehronan machine
caranred i tnt bs through aneformer and double circuit transmission
fine as shown inte allowing figure. The infinite bus voltage F = 1.)
‘The rcet aie tonienteatance of the machine i 0.30 pa the transformer
‘eaetanceis 020 pu andthe eactanc ofeach ansision ine is 0.3 pall to
"Tas of he rating ofthe syetronae machine. al the machine is delivering
‘08 pa eal power and reactive power i 0074 pu. with a terminal voltage of
1.0 pu The inertia constant = 3 MUDMVA, Al resistances ae neglected.
en: lst to voli Y= 19 pu
‘eminlvlage
gil aes poet L092
PnP 08
(caret Gowig int he iii bi
“he transfer reactance be
=e he intra voltage ad ihe fete bs erehase ofthe ing ofthe syetonous mace ay ae
‘08 pa eal power nd eave power i 0074 pu with a terminal voltage of
1.0 pa Theneria constant = 5 MJIMVA. Al esistances are neglected,
‘he transfer reactance betwen he neal voliage aad the infil bt hfe
(@ A temporary three-phase fault occurs at the sending end of one a
SEAN NT eee
critical clearing angle and the fault clearing re 03s024 a
(ii) A three-phase fault occurs at the Ser a
mide of one ofthe lines, fault ig ei
eee nd eatin ae + aid ade fasion ayes
See Demented cng ee gun tn acre atone
0 nt ne tg eo nf
eg nce
ORE +6 yn 03 402022223 00s
- Daring hel condon: Py = 0
‘Pott condition Siace bos he ines ae intact when the Gal's
cleared therefore the power angle equation of pref and postal
ae the samme.
‘enw
= LITEM ing = 1.8sind
1, 8 Os
The inital power angle & is ealulted 2
yg = Pg = 08 = Pag Sind
esie'( 2S) oseam oust
‘The critical clearing time
.-
and
2x5(LA8 — 0.46055)
axooxog 7768
lb 5088) + Pay mtd
cond * Frnt Pai
sassei2- 26389 5, or seas aie
3-3 alte
s.2uns
@ ®
i) Thrcesphase fault cccurs at the mid of on ofthe lines
Pref onion Frome race pen a
axes
ax 030024(92203) e048
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