Page 144 - Mathematical Models and Algorithms for Power System Optimization

Load Optimization for Power Network 135

Fig. 5.2

5-Bus test system for state 1.

(2) Based on basic data and topology of the network, find the bus branch incidence matrix R,
branch admittance diagonal matrix B b , bus admittance matrix B, and bus admittance
0
dimension reduction matrix B , respectively.
2 3
11 00 0
0 110 0
6 7
6 7
R ¼ 10 10 0 7
6
6 7
4 0 101 0 5
0 0 10 1
2 3 2 3
1=x 12 0 0 0 0 30:675 0 0 0 0
0 0 0 0 0 31:153 0 0 0
6 1=x 23 7 6 7
6 7 6 7
B b ¼ 6 0 0 1=x 13 0 0 7 ¼ 6 0 0 30:675 0 0 7
6 7 6 7
4 0 0 0 1=x 24 0 5 4 0 0 0 13:605 0 5
0 0 0 0 1=x 35 0 0 0 0 21:413
2 3
61:350 30:675 30:675 0 0
30:675 75:433 31:153 13:605 0
6 7
6 7
B ¼ 30:675 31:153 83:241 0 21:413 7
6
6 7
4 0 13:605 0 13:605 0 5
0 0 0 21:413 21:413
2 3
61:350 30:675 30:675 0
30:675 75:433 31:153 13:605
6 7
0
B ¼ 6 7
4 30:675 31:153 83:241 0 5
0 13:605 0 13:605