Question

(3) A series capacitor bank is to be installed at the midpoint of the 300 mile long line of Prob. a above. The AB CD constants for 150 mile of line are: A =D = 0.9534 10.3° , B=90.33/84.102 C = 0.001014 190.10 v. The ABCD constants of the series capacitor bemk are: A = D = 1109 , 8 = 146.61-90°r,C=0. (a) Determine the equivalent ABCD constants of the series combination of the line-capacitor-line. (b) solve Prob. 2 above using these equivalent AB CD constants.

Answer 1

Answer

Answer: - Given that, capacitor bank Series having a reactance of 146.62 a) Drowing the equivalent ABCD netwook of the given question -jY2 Branch of copacito Cquivalent series ABCO s the A3: 63 :-; 146.6 C3.0 03:1 in network ABCD Parameter Drawing the equivalent 2000 HAI GI A3 G3 C3 03 - Az C2 G2 F O2 A 1: A2- Di: 02:0.9534 20.3 B = Bz: 90-33 < 84.1 CI C2: 0.001014 <90.1° Cashcade connection of ABCO Now. Parameteas.

is the matrin multiplication of aivalent ABCD parameter the ABCR Parameters Firstly calculating 0.9534 < 901 90.33 284.1 -3146-67 0.ooldu <90.1 0.9534 20:34 ( o s 3 4<03 50.91 -78.65 1.102 <0.273 0.001014<90) Now) 0.9534 <0.3 50.9K-7865ro.9534 <03 90.33484.1 0.00 10142 <90.1 1102C0-273 0.001014 <90 0.95342013 co.9597 <1-180 42.2964.50 > 0.00208 <90.38 0.959651-180 A: 0.9597<1.180 B = 42-29 <64.50 C: 0.00208 < 90:38 D-09596 <1:180

b) Given load - 400mra 0.89B at 345 kr NR: 345 KV 33 : 199.185 IR = 400x106 3*345 x 1083 400 X10 1.732 x 345 = 400 x ios 597-54 : 0.66 929)100 - 6693914 power factor angie : cos' (0.8 ) = 36.869 IR: 669.01 236.86 Amp Now us= AUR + BIR and IS, CVR+DIR VA-199.185 KV IR -669-39 1 <-36-8A- VS : 0.9597 <1.180 X 199165 +42-29 < 64:50 X 669.39K-36-86 191.157 <1.18+ 28.308 27.6U 216.86 <4:51 kv.

19: 0.00208390.38 X 199185 +0.9596 <1.180 X669.391 <-36-86 IS : 414.308 390.38 + 642.34-35.68 IS : 520.53 <4.36 AMPS Vs: 216-86<4.57 kv Is = 520.53<4.36 Amps peccantage voltage drop 216-86- 199.185 216.86 X loo 17.675 x 100 216.86 0.08150U) X100 - 8.150 y. At no load IR-O vs : AVR + BIR IR=0 vs = Aur VR (no load). VS VA • 216.86 C4.51 0.959 7 1.180 - 225.962 3.33

voltage regulation VR (n)- VR (in) VR (Ft) 225.96 -216-86 21686 9.1 21686 -0.0004196 voltage regulation : 4.19%