Solution manual for power systems analysis 2 e 2nd edition arthur r bergen vijay vittal

Page 1

Solution Manual for Power Systems

Analysis, 2/E 2nd Edition Arthur R. Bergen, Vijay Vittal

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PART I. SOLUTIONS TO PROBLEM SETS

2 / v =zxi2o co(t+3o) =s V= v20/3o° v i = zxio (t-3°) = I= to [-30° A

@) pte= VI/r/[e9+ (2ot +4¥+4 )] = (oo u2oo ct w

S= vz" =1200 [@o° = P+ => P= 60ow, = 103 A+

(6) Z= Y/T = 12 l60° = %+310 3 R+3 2R=6,X=0 39

2.2(e n (2.3) c 4=4 P,= 7707 =//Ir/0 +t)

0-d pk.:= -23= I)r](a9 -t)7he.,oVl = too, ee

4·t ITl= io a4 0= 45 Dd g> s°= Z= i0ls°

7 07+3707 =R+3K 2=7 07, x= 7 07

0) 5.v1"= Zy>(07+35207) io P= 707, > 707

() op&easy · - if)= [r] e A

?6 = bite)= L di z. -2L[I/at a.t =-u[z/~2at

h» = u//= 7o = Q.Th> Q.As..e!

= Jr '-5

0
PF
=s5° G= 5 i v+
O Pr 0-5 ?¢9=2s 54°,0=2 42V+r O«.h .t n! s.to-2.%2 2.69 Ar, a.y 0 7o7PF > 5,, 200+j 20o 4v. G» on-«<« so4vAr. uh. S,g
_23_
7
»
«
20044150 Av+ > Pro0.
3
.s
(+)
(
2
(s/= »l _ zsx'.ir]= it]z III= 32sn
3J i
o9Pr ° 9=as·w° To=««nu (a) S= Io + j H e 4y to4
io xi°- uxIlxo.9 = [I/= 26 7A
3A(7.3), ( £t +es) • ,T Pt) = /0° + mu.uxno° e(2at+ 25 9·) Nde: le «g o 1 pt 9 IO4d

2. B ·9pl 0a4 Yg-208 /@o, Ya.= 7o[@_,

°

--g(7) • Fs . " , va =r20/30 V,-to/-30°, T.= 2//os° =>

Ya = t2o -/so Ua9 p- eh·=

F,=r2/is" z,= '2ls:

2• s-vr = v(xv=v = Y{+Y" = 35to+o1 =01+3$

28(040. 4o,» n od0 0-% e +-J, /kc»d.k,

T = 0972s /@.3si"°, T= 09r23 /go.6s° z.=092/so°

5 p el< as ) 6 = 7/9/t.1=0.o1 Lo° Ta

Wo--, T= oo/ [-0, T.= 00/ /3o°• 2.10

a..,
3
a) ~ . . " -
,
5.. re
2
=2o2/-± V.=
1, a' ·{Iv Va= 2£ s
=I,=I2
'%
a', = =
$' !' 2
F,=
I.=
P.6Ra.
ll9"6
r[YI
cdLo..r
-~· -·· ----V Vs Ya dp 3! Ir ax.A Z=-j I= t
dm p' +I. I
, = o.8[ re.sn° > ,=0.9/-@30.s° a-4
=o.87 /5o2°, 1 '.g= tss7 [ ° 2 12 so+ po5
Phu< cu-+
13
2e /±20°
[3e°
0[-9o°
G-6s pa<Aea...k Z,=-3S. Ia=0.2s/0
-3s· 302s- 4.s lo9° 11 T,= lo/2Jo',T=> 12 /3230° () ,,-z8/9, V>209 /02°° Y 20 /3»° r.= t° le° i
us [/° = T% .2s/2' a.ans ls··
416/90°,
' 20 /4so° 2 14 Pe Pa
des lo pis Z s
' ~z
>lN.I. It &,s +
0ru pk. dos,
4±s°
a«95 la»l< las.l ' ., rd«e 1.52 000,, I'es< lV,sJ '.s= 5 /-s° lV.)>1Va.J t. -> o.. 4

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