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Fig. 1. 10-runs convergence of market competition algorithm in 10-unit power system
Ta b l e 2 . Comparison of costs and average execution time of different methods for 10-unit system
Costs($)
Method
SU C
FC
Best TFC Mean TFC Mean Time(s)
GA
4090 561735.00 565825.00
565889
220
HQCE
4090 559856.30 563938.00
563952
19
PSO
2095 562899.00 565804.00
565868
24
QPSO
4090 559852.30 563942.30
563950
18
BF
2100 562742.00 564842.00
564866
20
SLFA
4090 559847.70 563937.70
563942
19
THMCA without ER 4090 559847.40 563937.40
563940
18
THMCA with ER
4090 559846.60 563936.60
563938
11
Ta b l e 3 . Comparison of costs and average execution time of different methods for 10 to 100 units
TFC($(Mean Time(s)))
Unit
Method
10
20
50
100
GA
565825(220) 1126243(733) 2680085(4065) 5627437(15733)
HQCE
563938(19)
1123370(53)
2673694(142)
5625937(477)
PSO
565804(24)
1126148(69)
2679703(186)
5627510(624)
QPSO
563942(18)
1125510(51)
2673392(134)
5609085(449)
BF
564842(20)
1124892(34)
2674028(86)
5611514(282)
SLFA
563937(19)
1123261(33)
2673458(87)
5624526(289)
THMCA without ER 563937(18)
1122904(31)
2672610(83)
5622742(282)
THMCA with ER
563936(11)
1122872(17)
2672332(45)
5622457(156)
The best comparison results of total fuel cost and mean execution time for power
system with up to 100 generating units are shown in table 3. The execution time of
THMCA with ES increases almost linearly with the size of the UC scheduling problem.
The overall execution time obtained by THMCA with ES is less than that of other
 
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