Impact of the penetration of distributed generation on optimal reactive power dispatch

Das, Tanmay; Roy, Ranjit; Mandal, Kamal Krishna

doi:10.1186/s41601-020-00177-5

Protection and Control of Modern Power Systems

Table 1 The comparative results of G01-G24 benchmark functions using different algorithms

From: Impact of the penetration of distributed generation on optimal reactive power dispatch

Function	PSO		BBO	DE	ABC	HTS	TLBO	JAYA
G01	Best	− 15	−14.977	− 15	− 15	− 15	− 15	− 15
(− 15.00)	Mean	− 14.71	− 14.7698	− 14.555	−15	− 15	− 10.782	− 15
G02	Best	−0.669158	− 0.7821	− 0.472	− 0.803598	- 0 .7517	− 0.7835	−0.803605
(−0.803619)	Mean	−0.41996	− 0.7642	−0.665	− 0.792412	−0.6437	− 0.6705	−0.7968
G03	Best	1	− 1.0005	−0.99393	−1	− 1.0005	−1.0005	− 1.005
(− 1.0005)	Mean	0.764813	−0.3957	−1	− 1	−0.9004	− 0.8	−1
G04	Best	− 30,665.539	− 30,665.539	− 30,665.539	−30,665.539	− 30,665.539	−30,665.539	− 30,665.539
(− 30,665.539)	Mean	− 30,665.539	−30,411.865	− 30,665.539	−30,665.539	− 30,665.539	−30,665.539	− 30,665.539
G05	Best	5126.484	5134.2749	5126.484	5126.484	5126.486	5126.486	5126.486
− 5126.486	Mean	5135.973	6130.5289	5264.27	5185.714	5126.5152	5126.6184	5126.5061
G06	Best	− 6961.814	−6961.8139	− 6954.434	− 6961.814	− 6961.814	−6961.814	− 6961.814
(− 6961.814)	Mean	− 6961.814	− 6181.7461	−6954.434	−6961.813	− 6961.814	−6961.814	− 6961.814
G07	Best	24.37	25.6645	24.306	24.33	24.3104	24.3101	24.3062
−24.3062	Mean	32.407	29.829	24.31	24.473	24.4945	24.837	24.3092
G08	Best	−0.095825	− 0.095825	−0.095825	− 0.095825	− 0.095825	− 0.095825	− 0.095825
(− 0.095825)	Mean	− 0.095825	−0.95824	− 0.095825	−0.095825	− 0.095825	−0.095825	− 0.095825
G09	Best	680.63	680.6301	680.63	680.634	680.6301	680.6301	680.6301
− 680.6301	Mean	680.63	692.7162	680.63	680.634	680.6329	680.6336	680.6301
G10	Best	7049.481	7679.0681	7049.548	7053.904	7049.4836	7250.9704	7049.312
− 7049.28	Mean	7205.5	8764.9864	7147.334	7224.407	7119.7015	7257.0927	7052.7841
G11	Best	0.749	0.7499	0.752	0.75	0.7499	0.7499	0.7499
−0.7499	Mean	0.749	0.83057	0.901	0.75	0.7499	0.7499	0.7499
G12	Best	−1	−1	−1	−1	−1	−1	−1
(−1)	Mean	−0.998875	−1	− 1	− 1	− 1	− 1	− 1
G13	Best	0.085655	0.62825	0.385	0.76	0.37319	0.44015	0.003625
(−0.05394)	Mean	0.569358	1.09289	0.872	0.968	0.66948	0.69055	0.003627
G14	Best	−44.9343	54.6679	−45.7372	−44.6431	−47.7278	−46.5903	−47.7322
(−47.764)	Mean	−40.871	175.9832	−29.2187	−40.1071	−46.4076	−39.9725	− 46.6912
G15	Best	961.715	962.664	961.715	961.7568	961.715	961.715	961.715
−961.715	Mean	965.5154	1001.4367	961.7537	966.2868	961.75	962.8641	961.715
G16	Best	−1.9052	−1.9052	−1.9052	−1.9052	− 1.9052	− 1.9052	− 1.9052
(− 1.9052)	Mean	− 1.9052	− 1.6121	−1.9052	− 1.9052	−1.9052	− 1.9052	−1.9052
G17	Best	8857.514	9008.5594	8854.6501	8859.713	8853.5396	8853.5396	8853.5396
− 8853.5396	Mean	8899.4721	9384.268	8932.0444	8941.9245	8877.9175	8876.5071	8872.5402
G18	Best	−0.86603	−0.65734	− 0.86531	− 0.86603	− 0.86603	− 0.86603	− 0.86603
(− 0.86603)	Mean	− 0.8276	− 0.56817	−0.86165	− 0.86587	−0.77036	− 0.86569	−0.86602
G19	Best	33.5358	39.1471	32.6851	33.3325	32.7132	32.7916	32.6803
−32.6555	Mean	36.6172	51.8769	32.768	36.0078	32.7903	34.0792	32.7512
G20	Best	0.24743	1.26181	0.24743	0.24743	0.24743	0.24743	0.24139
−0.204979	Mean	0.97234	1.43488	0.26165	0.80536	0.25519	1.22037	0.24385
G21	Best	193.7311	198.8151	193.7346	193.7343	193.7264	193.7246	193.5841
− 193.274	Mean	345.6595	367.2513	366.9193	275.5436	256.6091	264.6092	193.7219
G22	Best	− 258.74	− 267.15	− 249.12	−243.43	− 272.78	− 248.78	− 242.45
− 236.4309	Mean	−255.55	− 254.44	−249.46	− 251.33	− 265.66	− 252.56	− 239.05
G23	Best	− 105.9826	2.3163	−72.642	−43.2541	− 390.6472	−385.0043	− 391.5192
(− 400.055)	Mean	−25.9179	22.1401	−7.2642	−4.3254	− 131.2522	−83.7728	− 381.2312
G24	Best	− 5.508	− 5.508	− 5.508	− 5.508	− 5.508	− 5.508	− 5.508
(− 5.5080)	Mean	− 5.508	−5.4982	− 5.508	−5.508	− 5.508	−5.508	− 5.508

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