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

Table 15

Comparison results of the 119-bus system before and after compensation with the CP load model at different load levels.

Load level	Item	Uncomp.	Compensated
			CSA [16]	IHA [17]	FPA [18]	ABC [19]	MGABC [30]	SOSc	SQI-SOSc	SOS	SQI-SOS
Light 50%	, p.u.	0.9385	0.955	0.9552	—	0.9539	0.9566	0.9567	0.9567	0.9566	0.9566
	Ploss, kW	297.15	208.96	206.8402	209.0868	207.52	206.65	194.8344	194.8289	195.4589	194.8911
	PFoverall	0.7998	0.87	0.9188	0.914	0.8915	0.9883	0.9701	0.9693	0.9654	0.9685
	MPF, kW	5233.93	—	—	—	—	—	5202.31	5202.31	5202.93	5202.32
		(#L1-2)						(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)
Medium 75%	, p.u.	0.9049	0.933	0.92	—	0.9313	0.9336	0.9335	0.9335	0.9335	0.9335
	Ploss, kW	697.33	471.01	473.1	488.83	471.78	482.01	451.2657	451.2566	452.5665	451.4294
	PFoverall	0.7998	0.91	0.9207	0.9419	0.9068	0.9860	0.9636	0.9638	0.9618	0.9633
	MPF, kW	7927.17	—	—	—	—	—	7852.32	7852.28	7853.62	7852.45
		(#L1-2)						(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)
Full 100%	, p.u.	0.8688	0.906	0.902	—	0.90886	0.9073	0.9047	0.9049	0.9047	0.9047
	Ploss, kW	1298.09	858.89	843.1459	853.1543	854.39	874.03	846.6694	846.2974	847.3224	847.0243
	PFoverall	0.7998	0.92	0.9488	0.9419	0.9295	0.9844	0.9360	0.9363	0.9344	0.9357
	MPF, kW	10677.92	—	—	—	—	—	10547.83	10547.60	10548.47	10548.23
		(#L1-2)						(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)
Total annual cost ($/year)			440,236.40	332,077.38	332,573.27	336,216.33	337,983.73	359,583.69	323,491.68	323,488.99	323,578.50
Annual net savings ($/year)			—	108,159.02	107,663.13	104,020.07	102,252.67	80,652.70	116,744.71	116,747.40	116,657.89
Worst cost ($/year)			—	—	—	—	—	—	327346.43	325,776.65	326,745.33
Best cost ($/year)			—	—	—	—	—	—	323,491.68	323,488.99	323,578.50
Mean cost ($/year)			—	—	—	—	—	—	324,441.73	324,248.97	324,445.95
Standard deviation (			—	—	—	—	—	—	786.63	629.26	644.11

The sign “” implies that for a fair comparison, the obtained load flow results are recycled with capacitor parameters given in [30] using our proposed load flow technique, and the total cost in [30] is also recalculated using equation (1) with the price data provided in Table 2.