Simple Quadratic Interpolation-Inspired Symbiosis Organisms Search Algorithm for Optimal Placement of Capacitors in Radial Distribution Networks with Different Loading Models

Table 11

Comparison results of the 69-bus system before and after compensation with the CP load model at different load levels.

Load level	Item	Uncompensated	Compensated
			CSA [16]	IHA [17]	FPA [18]	SOSc	SQI-SOSc	SOS	SQI-SOS
Light 50%	, p.u.	0.9567	0.966	0.9652	0.965	0.9666	0.9666	0.9663	0.9663
	Ploss, kW	51.6064	35.89	35.9451	36.5235	34.3536	34.3536	34.3938	34.3938
	PFoverall	0.8184	0.93	0.9218	0.9218	0.9608	0.9608	0.9601	0.9601
	MPF, kW	1952.65	—	—	—	1935.40	1935.40	1935.44	1935.44
		(#L1-2)				(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)
Medium 75%	, p.u.	0.9335	0.9486	0.949	0.9506	0.9491	0.9491	0.9491	0.9491
	Ploss, kW	121.0301	83.19	82.57	82.5706	79.7548	79.755	79.7399	79.7399
	PFoverall	0.8198	0.94	0.93	0.9299	0.9592	0.9592	0.9597	0.9597
	MPF, kW	2972.60	—	—	—	2931.32	2931.32	2931.31	2931.31
		(#L1-2)				(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)
Full 100%	, p.u.	0.9092	0.930	0.937	0.95	0.9282	0.9282	0.9281	0.9281
	Ploss, kW	225.0006	147.95	145.3236	145.14	148.323	148.323	148.4248	148.4248
	PFoverall	0.8213	0.95	0.9656	0.9559	0.9419	0.9419	0.9415	0.9415
	MPF, kW	4027.10	—	—	—	3950.42	3950.42	3950.52	3950.52
		(#L1-2)				(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)
Total annual cost ($/year)		76,349.9	58,074.59	58,165.60	57,753.11	57,035.52	57,035.52	57,043.14	57,043.14
Annual net savings ($/year)		—	18,275.31	18,184.30	18,596.79	19,314.37	19,314.37	19,306.75	19,306.75
Worst cost ($/year)		—	—	—	—	57,035.64	57,035.52	57,043.61	57,043.14
Best cost ($/year)		—	—	—	—	57,035.52	57,035.52	57,043.14	57,043.14
Mean cost ($/year)		—	—	—	—	57,035.53	57035.52	57,043.15	57,043.14
Standard deviation ()		—	—	—	—	0.0167	0.0	0.0657