Optimal Power Flow Using Gbest-Guided Cuckoo Search Algorithm with Feedback Control Strategy and Constraint Domination Rule

Table 8

Optimal solutions of minimum fuel cost in IEEE 57-bus system.

Control variables	Case 2.1				Case 2.2		Case 2.3
	FCGCS	EADPSO	MSA [22]	MO-DEA [27]	FCGCS	MO-DEA [27]	FCGCS	MO-DEA [27]
P1 (MW)	142.6533	144.13	143.3899	142.8027	142.7720	152.4112	143.1574	152.4035
P2 (MW)	89.97160	75.12	90.0784	88.9820	89.59095	92.8031	93.07994	95.0060
P3 (MW)	45.04525	44.04	45.1860	45.5473	45.02611	46.4252	45.27963	46.5039
P6 (MW)	71.81544	95.34	68.98911	71.5818	71.12060	81.8242	66.24712	51.7318
P8 (MW)	460.2308	455.35	462.8671	460.7376	460.1362	449.0153	455.0483	460.5988
P9 (MW)	95.88319	93.02	94.13925	96.3547	96.49317	78.9023	99.99133	91.6512
(MW)	360.0735	389.29	361.2028	360.0665	360.7113	364.5618	364.1823	369.0336
V1 (p.u.)	1.0635	1.0696	1.0658	1.0411	1.0550	1.0372	1.0259	1.0312
V2 (p.u.)	1.0614	1.0671	1.0634	1.0391	1.0532	1.0338	1.0229	1.0183
V3 (p.u.)	1.0541	1.0612	1.0557	1.0331	1.0473	1.0304	1.0133	1.0040
V6 (p.u.)	1.0618	1.0624	1.0595	0.0483	1.0593	1.0466	1.0091	1.0185
V8 (p.u.)	1.0738	1.0681	1.0714	1.0643	1.0740	1.0627	1.0210	1.0425
V9 (p.u.)	1.0478	1.0433	1.0479	1.0299	1.0422	1.0254	1.0025	1.0125
(p.u.)	1.0466	1.0411	1.0505	1.0187	1.0348	1.0203	1.0152	1.0135
(p.u.)	0.9216	1.0995	1.0038	0.9083	0.9995	0.9609	1.0038	0.9475
(p.u.)	1.0537	1.0999	1.0090	1.0416	1.0055	1.0217	0.9586	1.0713
(p.u.)	1.0077	1.0973	0.9839	1.0084	1.0098	0.9697	0.9774	0.9729
(p.u.)	0.9438	1.0575	1.0076	1.0332	0.9379	1.0214	0.9588	1.0107
(p.u.)	1.0974	0.9382	1.0155	1.0232	1.0027	1.0506	1.0588	1.0499
(p.u.)	1.0281	1.0329	0.9981	1.0271	1.0309	1.0033	1.0155	1.0103
(p.u.)	0.9954	0.9987	0.9988	0.9873	0.9942	0.9923	0.9838	1.0038
(p.u.)	0.9612	0.9651	0.9434	0.9584	0.9166	0.9162	0.9379	0.9189
(p.u.)	0.9090	0.9358	0.9198	0.9862	0.9006	0.9369	0.9000	0.9006
(p.u.)	0.9775	0.9852	0.9930	0.9572	0.9697	0.9549	0.9419	0.9291
(p.u.)	0.9647	0.9692	0.9893	0.9411	0.9509	0.9374	0.9622	0.9611
(p.u.)	0.9713	0.9678	0.9889	0.9495	0.9640	0.9498	0.9775	0.9761
(p.u.)	0.9384	0.9434	0.9547	0.9133	0.9222	0.9026	0.9144	0.9251
(p.u.)	0.9709	0.9845	0.9730	0.9378	0.9610	0.9416	0.9390	0.9348
(p.u.)	0.9912	1.0041	0.9659	1.0358	1.0283	0.9795	1.0043	1.0161
(p.u.)	0.9677	0.9819	0.9205	1.0009	0.9753	1.0124	0.9292	0.9436
(p.u.)	0.9975	1.0299	0.9977	0.9770	0.9886	0.9636	0.9955	0.9931
(p.u.)	0.1034	0.2966	0.1541	0.1219	0.1604	0.1512	0.0169	0.1333
(p.u.)	0.1387	0.1161	0.1656	0.1520	0.0603	0.1609	0.1572	0.1459
(p.u.)	0.1188	0.1231	0.1641	0.1328	0.1310	0.1459	0.1899	0.1759
Fuel cost ($/h)	41666.6316	41697.54	41673.7231	41683	41675.4521	41713	41738.9509	41758
L-index	0.2795	0.2466	0.2839	0.2816	0.2742	0.2790	0.2945	0.2985
Voltage dev.	1.6588	1.3466	1.5508	1.5088	1.6504	1.5749	0.6507	0.6694