Performance of Various Metaheuristic Techniques for Economic Dispatch Problem with Valve Point Loading Effects and Multiple Fueling Options

Table 10

Optimal solution of the thirteen, fifteen, and twenty thermal units, respectively, using solvers involving PS, SA, SQP, PS-SQP, and SA-SQP.

Solver
PS	616.84	320.36	256.93	60.00	60.00	60.00	60.00	60.00	60.00	40.00	40.00	55.00	55.00
SA	167.57	124.92	102.42	126.36	177.93	134.57	114.18	176.51	159.49	103.92	106.64	105.45	116.08
SQP	389.86	213.26	213.10	77.79	77.79	77.79	77.79	77.79	77.79	101.77	101.77	120.00	120.00
PS-SQP	615.89	319.52	256.55	60.20	60.20	60.20	60.20	60.20	60.20	40.26	40.26	55.22	55.22
SA-SQP	53.56	155.96	83.33	117.24	152.98	178.22	179.87	143.53	179.96	111.76	117.59	116.14	117.38
PS	362.30	406.00	49.38	20.00	470.00	391.00	391.00	188.00	153.00	25.00	20.00	20.00	25.00	15.00	15.00
SA	288.19	282.66	103.84	118.81	289.05	298.57	325.19	232.56	149.19	139.45	66.08	75.58	79.88	40.72	44.98
SQP	455.00	455.00	20.00	20.00	470.00	383.22	135.00	300.00	54.64	25.00	20.00	20.00	85.00	55.00	15.00
PS-SQP	362.30	406.00	49.38	20.00	470.00	391.00	391.00	188.00	153.00	25.00	20.00	20.00	25.00	15.00	15.00
SA-SQP	348.05	206.00	129.58	129.29	286.20	214.17	387.15	199.47	155.91	150.20	79.58	63.07	83.53	53.47	51.26
PS	592.55	178.00	178.00	178.00	50.00	20.00	25.00	50.00	178.00	30.00	100.00	406.00	40.00	20.00	153.00	21.00	30.00	30.00	40.00	30.00
SA	198.51	57.90	79.62	126.63	100.81	66.24	93.72	131.98	199.39	131.02	174.43	260.56	99.35	71.17	90.09	71.07	82.59	101.27	107.38	96.09
SQP	600.00	199.98	56.60	50.12	65.91	82.33	43.48	74.14	50.05	111.65	100.00	150.00	61.65	115.64	179.77	79.99	73.71	75.72	99.82	72.93
PS-SQP	592.39	177.98	177.97	177.97	50.02	20.04	25.03	50.03	177.98	30.03	100.01	405.90	40.03	20.03	152.99	21.03	30.03	30.03	40.03	30.03
SA-SQP	200.92	98.28	181.61	85.93	137.73	76.53	76.42	113.69	94.98	88.16	243.88	216.69	57.41	125.65	81.96	78.04	56.07	111.10	107.88	97.10