In reference to the power system reactance diagram all

Question

In reference to the power system reactance diagram, all values are given in pu. Determine the followings:

1. Construct the bus admittance matrix for the power system shown in Fig.
2. Use Gauss-Seidel method to solve the load flow problem

Table 1: Impedances and line charging (in p.u.) for the system shown in Fig.

Bus code p-q	Impedance zpq	Shunt admittance ypq/2
1-12	0.02+j0.16	j0.03
1-4	0.015+j0.12	j0.024
1-3	0.015+j0.13	j0.024
1-2	0.03+j0.25	j0.031
12-11	0.025+j0.20	j0.021
12-5	0.016+j0.09	j0.015
12-4	0.016+j0.10	j0.015
2-8	0.06+j0.60	j0.04
3-8	0.03+j0.28	j0.04
3-4	0.018+j0.16	j0.03
4-5	0.014+j0.1	j0.03
4-9	0.008+j0.065	j0.012
9-8	0.045+j0.40	j0.038
9-7	0.02+j0.18	j0.025
9-6	0.04+j0.38	j0.036
9-10	0.035+j0.32	j0.034
8-7	0.045+j0.40	j0.042
7-6	0.045+j0.40	j0.042
6-10	0.015+j0.13	j0.020

Table 2: Bus data for the system shown in Fig. 1

Bus code	Vinitial	Pg	Qg	Pl	Ql
1(slack)	1.0+j0	0	0	0	0
2	1.0+j0	0	0	0.66	0.26
3	1.0+j0	0	0	0.50	0.15
4	1.0+j0	0	0	0.54	0.16
5	1.0+j0	0	0	0.42	0.18
6	1.0+j0	0	0	0.64	0.28
7	1.0+j0	0.	0	0.60	0.26
8	1.0+j0	0.68		0.18	0.06
9	1.02+j0	0.84		0.24	0.09
10	1.01+j0	0.97		0.20	0.05
11	1.01+j0	0.85		0	0
12	1.03+j0	0.72		0.12	0.03