Load Flow

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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. 1
  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.1

Bus code p-q

Impedance 

Shunt admittance 

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

 

 

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