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

Table 5

Comparison results of the 33-bus system before and after compensation with the CP load model at different load levels.

Load level	Item	Uncompensated	Compensated
			SOSc	SQI-SOSc	SOS	SQI-SOS
Light 50%	, p.u.	0.9540	0.9667	0.9667	0.9678	0.9678
	Ploss, kW	48.7870	32.8848	32.8848	32.916	32.916
	PFoverall	0.8497	0.9904	0.9904	0.9897	0.9897
	MPF, kW	1906.28	1890.38	1890.38	1890.41	1890.41
		(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)
Medium 75%	, p.u.	0.9295	0.9495	0.9495	0.9512	0.9512
	Ploss, kW	113.9869	76.1249	76.1243	76.1849	76.1849
	PFoverall	0.8494	0.9856	0.9856	0.9864	0.9864
	MPF, kW	2900.23	2862.37	2862.37	2862.43	2862.43
		(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)
Full 100%	, p.u.	0.9038	0.9271	0.9271	0.9275	0.9275
	Ploss, kW	210.9875	141.1855	141.1840	141.5439	141.5439
	PFoverall	0.8490	0.9698	0.9698	0.9682	0.9682
	MPF, kW	3925.99	3856.18	3856.18	3856.54	3856.54
		(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)	(#L1-2)
Total annual cost ($/year)		71,737.7	56,188.36	56,188.36	56,198.33	56,198.33
Annual net savings ($/year)		—	15,549.33	15,549.33	15,539.36	15,539.36
Worst cost ($/year)		—	56,449.50	56,449.50	56,507.02	56,458.73
Best cost ($/year)		—	56,188.36	56,188.36	56,198.33	56,198.33
Mean cost ($/year)		—	56,252.59	56,228.78	56,265.06	56,227.01
Standard deviation ()		—	97.37	78.96	107.41	62.58