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Frontiers in Energy

ISSN 2095-1701

ISSN 2095-1698(Online)

CN 11-6017/TK

邮发代号 80-972

2019 Impact Factor: 2.657

Frontiers in Energy  2014, Vol. 8 Issue (3): 290-296   https://doi.org/10.1007/s11708-014-0305-y
  本期目录
Solution to economic dispatch problem with valve-point loading effect by using catfish PSO algorithm
K. MURALI,T. JAYABARATHI()
School of Electrical Engineering, VIT University, Vellore 632014, India
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Abstract

This paper proposes application of a catfish particle swarm optimization (PSO) algorithm to economic dispatch (ED) problems. The ED problems considered in this paper include valve-point loading effect, power balance constraints, and generator limits. The conventional PSO and catfish PSO algorithms are applied to three different test systems and the solutions obtained are compared with each other and with those reported in literature. The comparison of solutions shows that catfish PSO outperforms the conventional PSO and other methods in terms of solution quality though there is a slight increase in computational time.

Key wordseconomic dispatch (ED)    valve point loading    catfish particle swarm optimization (PSO)    optimization
收稿日期: 2013-04-15      出版日期: 2014-09-09
Corresponding Author(s): T. JAYABARATHI   
 引用本文:   
. [J]. Frontiers in Energy, 2014, 8(3): 290-296.
K. MURALI,T. JAYABARATHI. Solution to economic dispatch problem with valve-point loading effect by using catfish PSO algorithm. Front. Energy, 2014, 8(3): 290-296.
 链接本文:  
https://academic.hep.com.cn/fie/CN/10.1007/s11708-014-0305-y
https://academic.hep.com.cn/fie/CN/Y2014/V8/I3/290
AlgorithmsBest results/($·h-1)Mean results/($·h-1)
CEP [11]8234.078235.97
FEP [11]8234.078234.24
MFEP [11]8234.088234.71
IFEP [11]8234.078234.16
EP [19]8234.078234.16
EP-SQP [19]8234.078234.09
PSO-SQP [19]8234.078234.72
Firefly [16]8234.078234.08
SPSO [20]8234.078234.18
QPSO [20]8234.078234.10
PSO8234.078235.21
Catfish PSO8234.078236.52
Tab.1  
Catfish PSOPSO
P1/MW300.2643300.2635
P2/MW400.0000400.0000
P3/MW149.7356149.7364
Total generation/MW850850
Cost/($·h-1)8234.0738234.073
Mean time/s0.0640.063
Tab.2  
Evaluation methodRange of cost/$
8234–82368238–82408240–82428242–8244Above 8244
PSO328253
Catfish PSO346163
Tab.3  
Fig.1  
AlgorithmsBest results/($·h-1)Mean results/($·h-1)
CEP [11]18048.2118190.32
FEP [11]18018.0018200.79
MFEP [11]18028.0918192.00
IFEP [11]17994.0718127.06
EP [19]17,994.0718127.06
EP–SQP [19]17,991.0318106.93
PSO–SQP [20]17,969.9318029.99
SPSO [20]17988.1518102.48
QPSO [20]17969.0118075.11
PSO17974.6218042.42
Catfish PSO17969.9918039.28
Tab.4  
Catfish PSOPSO
P1/MW5555
P2/MW149.904224.404
P3/MW224.82298.394
P4/MW109.881109.614
P5/MW109.88360
P6/MW109.87160
P7/MW109.87360
P8/MW109.90960
P9/MW109.875109.531
P10/MW77.42340
P11/MW4040
P12/MW5555
P13/MW538.561628.054
Total generation/MW18001800
Cost/($·h-1)1796917974
Mean Time/s3.643.59
Tab.5  
Evaluation methodRange of cost/$
17950–1800018000–1805018050–1810018100–18150Above 18150
PSO348125
Catfish PSO366224
Tab.6  
Fig.2  
Catfish PSOPSOCatfish PSOPSO
P1/MW113.320114.000P21/MW540.405523.433
P2/MW114.000110.687P22/MW533.392523.567
P3/MW97.794101.035P23/MW521.444524.319
P4/MW179.557179.931P24/MW528.949530.827
P5/MW95.31887.340P25/MW550.000523.255
P6/MW139.548140.000P26/MW550.000523.931
P7/MW299.984300.000P27/MW10.48010.652
P8/MW288.840288.376P28/MW10.08510.000
P9/MW291.817284.568P29/MW14.75510.410
P10/MW130.196130.000P30/MW95.59789.925
P11/MW94.36794.293P31/MW189.837189.577
P12/MW94.03294.632P32/MW189.841189.751
P13/MW512.629511.250P33/MW190.000190.000
P14/MW394.417396.575P34/MW200.000200.000
P15/MW306.679392.212P35/MW198.941166.112
P16/MW93.418305.163P36/MW192.612200.000
P17/MW490.850486.266P37/MW110.000109.674
P18/MW489.754494.290P38/MW110.000109.612
P19/MW511.660513.080P39/MW110.000110.000
P20/MW512.028512.479P40/MW214.730214.730
Catfish PSOPSO
Total generation/MW1050010500
Cost($·h-1)121683.70121818.04
Mean time/s8.548.23
Tab.7  
AlgorithmsBest resultsMean results
CEP [11]123488.29124793.48
FEP [11]122679.71127245.59
MFEP [11]122647.57125356.47
IFEP [11]122624.35125740.63
EP [19]122624.35123382.00
EP–SQP [19]122323.97122379.63
PSO–SQP [20]122094.67122245.25
SPSO [20]121787.39122474.40
QPSO [20]121448.21122225.07
PSO121818.04122122.36
Catfish PSO121683.70121989.62
Tab.8  
Evaluation methodRange of cost/$
121400–121800121800–122200122200–122600122600–123000Above 123000
PSO432842
Catfish PSO537611
Tab.9  
Fig.3  
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