Optimal Battery Sizing in Photovoltaic Based Distributed Generation Using Enhanced Opposition-Based Firefly Algorithm for Voltage Rise Mitigation

Table 2

Comparison of performances for GSA, FA, and EOFA.

Function	Optimization algorithm
	GSA			FA			EOFA
	Optimized fitness value
	Best	Average	Worst	Best	Average	Worst	Best	Average	Worst
F1	0.0096	0.015	0.024	18.52	19.60	19.97**	8.88𝐸−16^∗	3.8𝐸−15	7.99𝐸−15
F2	2.07𝐸−07^∗	6.09𝐸−06	6.84𝐸−05	3.60𝐸−06	0.069	0.91**	5.46𝐸−06	3.99𝐸−04	0.0014
F3	1.09𝐸−06	2.06𝐸−05	1.05𝐸−04	0.00021	0.55	3.35**	0*	4.88𝐸−17	2.22𝐸−16
F4	1.87𝐸−07	9.87𝐸−06	3.98𝐸−05	6.11𝐸−05	0.30	2.08**	0*	1.78𝐸−17	5.55𝐸−17
F5	6.98𝐸−06	0.0014	0.030	446.74	592.46	686.12**	0*	2.26𝐸−16	2.78𝐸−15
F6	4.73𝐸−09	1.35𝐸−07	9.11𝐸−07	1.30𝐸−05	0.043	0.58**	1.59𝐸−40^∗	1.45𝐸−36	8.06𝐸−36
F7	−9.46*	−8.81	−7.73	−6.34	−4.11	−2.55**	−9.33	−8.90	−7.85
F8	1.41𝐸+82	1.62𝐸+85	8.89𝐸+85^∗∗	4.22𝐸+81	2.24𝐸+84	2.52𝐸+85	5.15𝐸+77^∗	7.42𝐸+80	1.19𝐸+82
F9	0.0014	0.0052	0.012	3658.18	5851.00	9794.40**	9.69𝐸−35^∗	6.14𝐸−32	7.94𝐸−31
F10	15.99	34.50	53.79	353.45	394.46	429.40**	0*	0.99	3.19
F11	25.75*	27.53	29.47	710546.20	1211549	1629028**	28.00	28.73	28.94
F12	8389.22	9719.90	10278.85	8981.36	10257.49	11111.71**	656.6*	1094.737	1624.44
F13	1.80𝐸−4	3.26𝐸−4	6.04𝐸−4	111.90	139.60	156.75**	2.31𝐸−35^∗	1.06𝐸−32	5.13𝐸−32
F14	0.0019	0.0048	0.011	6228.04	8787.32	10279.92**	3.52𝐸−34^∗	1.46𝐸−31	6.56𝐸−31
F15	24.16	51.79	73.96	708.22	5.47𝐸+08	3.92𝐸+09^∗∗	5.84𝐸−35^∗	1.92𝐸−30	1.60𝐸−29