Applied Computational Intelligence and Soft Computing

Research Article

Contingency-Constrained Optimal Power Flow Using Simplex-Based Chaotic-PSO Algorithm

Table 6

(a) Optimal settings of control variables in 26-bus system


Control variable	SCPSO	CPSO	MPSO	IPSO	HGA	DE

PG1	446.1746	448.1017	445.7566	453.3504	451.8483	452.6614
PG2	164.7378	166.1304	200.0000	165.0258	166.6793	165.7782
PG3	258.4341	258.1863	262.1278	259.9621	257.4760	256.2267
PG4	149.5769	149.9920	118.0309	136.5176	144.1294	142.0623
PG5	164.5429	164.4053	200.0000	164.5045	166.6446	163.0210
PG26	91.1452	87.9374	50.0000	103.2680	94.6340	102.8937
V1	1.0327	1.0279	1.0411	1.0404	1.0403	1.0286
V2	0.9920	1.0500	1.0088	1.0174	1.0186	1.0190
V3	1.0345	1.0201	1.0211	0.9943	0.9959	0.9907
V4	1.0346	0.9823	1.0004	0.9754	1.0308	1.0320
V5	1.0233	1.0101	0.9751	1.0090	1.0055	1.0053
V26	1.0208	1.0291	1.0248	1.0048	1.0055	1.0082
	1.0200	1.0200	1.1000	1.0100	1.0600	1.0600
TP2-13	1.0200	1.0000	0.9700	1.0000	0.9300	0.9200
TP3-13	0.9700	0.9700	0.9500	0.9900	0.9900	0.9700
TP4-8	0.9800	0.9800	1.0200	1.0200	1.0200	1.0300
TP4-12	0.9800	0.9900	1.0400	1.0300	1.0000	1.0100
TP6-19	0.9600	0.9500	1.0100	0.9800	0.9700	0.9300
TP7-9	0.9800	0.9800	0.9500	0.9600	0.9600	0.9600
YH1	0.0500	0.0000	0.0050	0.0500	0.0400	0.0500
YH4	0.0300	0.0350	0.0400	0.0300	0.0300	0.0150
YH5	0.0500	0.0500	0.0500	0.0400	0.0500	0.0150
YH6	0.0500	0.0500	0.0150	0.0200	0.0450	0.0500
YH9	0.0150	0.0400	0.0150	0.0400	0.0300	0.0250
YH11	0.0250	0.0450	0.0350	0.0250	0.0350	0.0300
YH12	0.0500	0.0350	0.0250	0.0500	0.0300	0.0200
YH15	0.0500	0.0350	0.0100	0.0500	0.0200	0.0450
YH19	0.0450	0.0500	0.0150	0.0250	0.0200	0.0500

Fitness	15499	15503	15545	15552	15568	15575
CI($)	15487	15491	15532	15539	15558	15562
(MW)	11.6166	11.7561	12.9153	12.5594	12.8161	12.6880
	0.3432	0.3411	0.5225	0.4599	0.4402	0.3485

(b) Optimal settings of control variables in IEEE 57-bus system


Control variable	SCPSO	CPSO	MPSO	IPSO	HGA	DE

PG1(W)	330.6258	331.4865	331.3076	331.8135	330.6408	331.6042
PG2(W)	50.0000	56.1645	83.7176	84.4205	83.7784	83.9324
PG3(W)	117.5876	117.7136	117.6009	117.8681	92.7311	117.6796
PG6(W)	84.8626	85.8677	84.8836	87.4047	85.0812	60.2967
PG8(W)	300.0000	256.9933	256.9824	257.0185	257.0101	256.9304
PG9(W)	84.8851	119.8924	95.4473	91.9031	120.0000	120.0000
PG12(W)	300.0000	299.9529	300.0000	300.0000	300.0000	300.0000
VG1	1.0500	1.0500	1.0500	1.0500	1.0500	1.0500
VG2	1.0480	1.0495	1.0500	1.0497	1.0497	1.0500
VG3	1.0500	1.0500	1.0500	1.0498	1.0079	1.0478
VG6	1.0496	1.0462	1.0500	1.0500	1.0500	1.0500
VG8	1.0500	1.0498	1.0500	1.0500	1.0500	1.0456
VG9	1.0341	1.0446	1.0438	1.0433	1.0500	1.0500
VG12	1.0252	1.0500	1.0500	1.0500	1.0500	1.0498
TP4-18	0.9700	0.9600	0.9600	0.9400	1.0100	0.9600
TP7-29	0.9700	1.0300	1.0000	1.0500	0.9400	0.9400
TP9-55	0.9700	1.0300	0.9900	1.0500	0.9400	0.9400
TP10-51	0.9400	0.9400	0.9400	0.9600	0.9500	1.0100
TP11-41	0.9900	1.0300	0.9700	0.9300	0.9600	1.1000
TP11-43	0.9300	0.9200	0.9300	1.1000	0.9400	0.9200
TP13-49	0.9000	0.9000	0.9000	0.9200	0.9000	1.0100
TP14-46	0.9200	0.9200	0.9200	0.9400	0.9300	0.9800
TP15-45	0.9300	0.9400	0.9400	0.9400	0.9300	0.9600
TP20-21	1.0200	1.0400	1.0100	1.0000	1.1000	0.9400
TP24-25	1.0300	0.9500	1.0000	0.9200	0.9600	0.9300
TP24-26	1.0400	1.0900	1.0800	1.1000	1.0000	0.9500
TP32-34	0.9800	0.9600	0.9500	0.9400	0.9600	0.9000
TP40-56	1.0300	1.0100	1.0400	1.0800	1.0300	0.9600
TP39-57	0.9900	1.0400	0.9800	1.0400	1.0200	0.9400
YH18	0.0900	0.0500	0.0250	0.0300	0.1000	0.0700
YH25	0.1000	0.0800	0.1000	0.0600	0.1000	0.0650
YH53	0.0800	0.1000	0.1000	0.1000	0.0700	0.0650

Fitness	15426	15435	15436	15443	15453	15470
CI($)	15407	15415	15414	15420	15429	15448
(MW)	17.1611	17.2709	19.1394	19.6284	18.4116	19.6433
	2.3280	2.6581	2.7262	2.6219	2.8305	2.1472