A Comparison of Metaheuristic Techniques for Solving Optimal Sitting and Sizing Problems of Capacitor Banks to Reduce the Power Loss in Radial Distribution System

Table 1

Results comparison of metaheuristic techniques on an IEEE-34 bus system.

Parameter	Base case	PSO [34]	Harmonic search	BAT	Cuckoo	Grey wolf
Capacitor size and sitting (node)	—	781 (19); 803 (22); 479 (20)	1000 (19); 800 (26)	650 (10); 1150 (25)	10 (650); 19 (850); 25 (700)	500(10); 500(25); 660 (19); 290 (22)
Minimum voltage (node)	0.9423 (bus 27)	—	0.9501 (27)	0.9500 (27)	0.9503 (27)	0.9507 (27)
Maximum voltage (node)	1.00 (bus 1)	—	1.00 (1)	1.00 (1)	1.00 (1)	1.00 (1)
Real power loss (kW)	223.85	168.6	167.9468	165.3482	160.3	159.29
Reactive power loss (kVAR)	66.4783	49.9924	49.0422	49.9579	48.8243	47.8127
% P loss reduction	—	24.6817	24.9735	26.1343	28.3895	28.84%
% Q loss reduction	—	24.7989	26.2282	24.8508	26.556	28.0777
kVAR injected	—	2063	1800	1800	2200	1950
Computation time (s)	0.903117	17.809493	9.892012	2.005097	0.14682	0.43199
Net savings ($)	—	18398	20635	21711	19194	20115