Economic Analysis of Lagrangian and Genetic Algorithm for the Optimal Capacity Planning of Photovoltaic Generation

Table 1

Comparison between Genetic Algorithm and Lagrange technique.

(a) Tainan

LOLH	Genetic Algorithm				Lagrange technique
	PV (Wp)	BTY (W)	Cost ($)	Time (s)	PV (Wp)	BTY (W)	Cost ($)	Time (s)
0	3487.68	20774.59	18739.35	6.63	3195.1	21702.7	17720.4	12.3
10	3382.42	22053.13	18568.23		3053.9	21063.3	17003.4
20	3252.19	22932.70	18211.16		3000.6	20136.9	16590.8
50	3242.57	20085.64	17581.96		3386.8	15807.1	17293.3
100	3240.58	16129.99	16754.90		3201.9	15354.2	16434.3
150	3146.45	14698.85	16068.99		3136.6	14913.6	16072.7
200	3120.14	13807.39	15775.51		2936.5	18437.3	15973.5
400	3040.25	10242.27	14706.81		3023.9	8696.6	14319.2

(b) Dawu

LOLH	Genetic Algorithm				Lagrange technique
	PV (Wp)	BTY (W)	Cost ($)	Time (s)	PV (Wp)	BTY (W)	Cost ($)	Time (s)
0	4743.17	20581.04	23897.02	6.67	4153.9	21103.6	21565.8	12.3
10	4692.96	18588.33	23276.66		3738.6	20531.5	19728.2
20	4657.65	17350.52	22874.25		3628.9	20207.4	19206.9
50	4259.91	18621.41	21490.67		3830.7	19266.4	19847.3
100	3827.22	19234.76	19826.29		3907.0	16408.4	19571.6
150	3643.09	17798.25	18766.64		3625.3	17632.9	18658.8
200	3581.59	16314.60	18204.94		3654.9	12983.0	17818.7
400	3362.52	14163.70	16852.74		3172.9	18352.8	16935.2