Question

N 에 3 5 who 4 ulu m 11 10 Table: Branch Information X(pu) B{pu) Branch Bus No-Bus No 1-2 2-5 2-8 4-5 4.11 5-6 6-7 7-10 7-11 8-9 8 - 10 9-10 R(pu) 0.01 0.02 0.025 0.01 0.01 0.02 0.04 0.03 0.01 0.05 0.01 0.01 0.02 0.03 0.06 0.075 0.03 0.03 0.06 0.12 0.09 0.07 0.15 0.03 0.07 0.14 0.04 0.08 0.00 0.02 0.06 0.00 0.00 0.02 0.10 0.00 0.06 0.12 0.04 Calculate the bus admittance matrix for the given system by using branch information

Answer 1

Given line diagram Be II Is 5 9 4 G 7 10 convect Given impedances of branches them into admitances. Z 2 = 0.01 +jo.03 = 4,2= 212

1 Y 2 = 10-30j 0.014 j0:03 295 = 0.02+0.06] =) YaS z 1 225 425 = - 5-153 0.02 +0.061 228 = 01025 +30.075 = 428 = 228 4 -12 Y28 = 0.025+ jo.075 Z 34 = 0.01 +0.03j - Y34 = 1 Z34 Y34 1 10-30 Diol +0.03) 0:0) +0103j 1 245 - Y45 = 245 Y45= 10-303 0.01 +0.03j ol

2411 = 0102+j006 A 4 41 5-15j 0102 1 jo-06 100 ys6 56 = 004 tj012 26 Ysis = 2.5-75) OO4 jo12 = 03tj0109 = y67 = 1 26 e - 3,33 -10) 03j0.09 710 = 0.0) + OCG] =) 1710 = 1 모커 710 다 = 2-14 0:0)+0·07) 레 105tj0115 키 케 2 Yazu = 2-6] 005J0115

289 = 0.017 10:03 =) Y89 289 489 = 10-30) ooitjo.03 ZS1o = 0.01+0.073 - =) 7810= 2910 4810= 2-14) 001+0.079 Zq1o = 0.02 +0143 4910 1 Zgio Yqjo = 1-7 0.02 +0.143 in the given single line diagram consists of 11 buses so the order of admitance matrix is ILXI now the matia is

3 buses then if power system consists of matrix of admitance is given below The -Y12 41* 412 +413 -Y21 - Y31 Y21 + 7227423 -Y32 -413 -123 431 +43 +433 3x3. apply same for 11 bus powel system.