Journal of Electrical and Computer Engineering

Research Article

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

Table 5

Optimal solutions of control variables for , VD, and minimization in IEEE 30-bus system (Case 3).


Variable	Initial	NSGA-II			MOEA/D			HMOPSO
Variable	Initial	Best	Best VD	Best	Best	Best VD	Best	Best	Best VD	Best

	1.05	1.0688	1.0256	1.0594	1.0828	1.0176	1.0706	1.0886	1.0425	1.0748
	1.04	1.0570	1.0246	1.0053	1.0727	1.0044	1.0642	1.0813	1.0316	1.0655
	1.01	1.0338	1.0248	1.0780	1.0478	0.9998	1.0349	1.0547	1.0143	1.0452
	1.01	1.0340	1.0057	1.0518	1.0480	0.9999	1.0362	1.0591	1.0132	1.0461
	1.05	1.0877	1.0543	1.0831	1.0938	1.0938	1.0627	1.0986	1.0664	1.0456
	1.05	1.0538	1.0287	1.0503	1.0951	1.0359	1.0597	1.0714	1.0238	1.0542
	1.078	0.9875	1	1.025	1.025	1.025	0.9875	1.025	1.05	1
	1.069	0.9375	0.9	0.9625	0.9	1	0.9625	0.9375	0.9125	0.9
	1.032	0.9625	0.95	0.9375	1.0125	0.9875	1.0125	1.0125	0.975	0.9375
	1.068	0.95	0.925	0.95	0.975	0.925	0.9	0.9625	0.925	0.925
	0.0	0.03	0.02	0	0	0	0.02	0.02	0.01	0.04
	0.0	0.01	0.03	0.02	0.08	0.06	0.01	0.03	0.05	0.04
(MW)	5.8327	5.2064	5.8076	5.8909	4.9803	5.6340	5.3730	4.8638	5.8846	5.4867
VD (pu)	1.1582	0.6114	0.1268	0.6963	0.7145	0.1137	0.876	0.9625	0.1098	0.9886
	0.1728	0.1394	0.1437	0.1315	0.1385	0.1472	0.1301	0.1367	0.1567	0.1203