Research Article

Application of Hybrid MOPSO Algorithm to Optimal Reactive Power Dispatch Problem Considering Voltage Stability

Table 1

Optimal settings of control variables for and VD minimization in IEEE 30-bus system (Case  1).

VariableInitialMOPSONSGA-IIMOEA/DHMOPSO
Best Best VDBest Best VDBest Best VDBest Best VD

1.051.07081.01831.06581.00861.08001.01121.07151.0120
1.041.06301.00841.05611.00081.07031.00411.06421.0022
1.011.04151.00301.03461.00001.04821.00251.04010.9998
1.011.04050.99951.03511.00131.04941.00601.04091.0000
1.051.07441.03001.04170.99331.10001.02611.07731.0982
1.051.06201.04181.06941.06501.09951.05001.05981.0376
1.0781.07511.02511.01250.98751.03751.05
1.0690.90.91250.90.91250.91250.98750.950.9875
1.032110.98751.0251.012510.9750.9875
1.0680.96250.9250.950.9250.950.9250.96250.925
0.00.050.010.010.040.10.020.020.01
0.000.050.0200.10.030.010.05
(MW)5.83274.98495.59685.04655.67494.95955.65534.85365.8650
VD (pu)1.15820.71960.12220.72480.12740.74520.12370.88420.0913