Successive Over-Relaxation Method Based on PSO

To solve large linear equations using SOR method, the most important thing is to ascertain relaxation factor. Considering current methods can not get the factor from global aspect, iteration times become larger and speed become slower. We pose a method to fix optimal factor using global search quali...

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Published inApplied Mechanics and Materials Vol. 734; no. Electronics, Automation and Engineering of Power Systems; pp. 522 - 525
Main Authors Wang, Zhi Chao, Tang, Liang, Gao, Lei
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.02.2015
Subjects
Online AccessGet full text
ISBN9783038354147
3038354147
ISSN1660-9336
1662-7482
1662-7482
DOI10.4028/www.scientific.net/AMM.734.522

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Abstract To solve large linear equations using SOR method, the most important thing is to ascertain relaxation factor. Considering current methods can not get the factor from global aspect, iteration times become larger and speed become slower. We pose a method to fix optimal factor using global search quality, genetic operational quality and compare the factor value obtaining from PSO algorithm and genetic algorithm, parabolic method. As a result, it shows that it is easier for PSO method to get optimal value than genetic and parabolic method from simulation result. PSO algorithm has huge advantage on solving global optimal problems. It is definite that PSO algorithm has great advantage then other methods and this method, and another advantage is it’s feasibility and convenience.
AbstractList To solve large linear equations using SOR method, the most important thing is to ascertain relaxation factor. Considering current methods can not get the factor from global aspect, iteration times become larger and speed become slower. We pose a method to fix optimal factor using global search quality, genetic operational quality and compare the factor value obtaining from PSO algorithm and genetic algorithm, parabolic method. As a result, it shows that it is easier for PSO method to get optimal value than genetic and parabolic method from simulation result. PSO algorithm has huge advantage on solving global optimal problems. It is definite that PSO algorithm has great advantage then other methods and this method, and another advantage is it’s feasibility and convenience.
Author Gao, Lei
Wang, Zhi Chao
Tang, Liang
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Issue Electronics, Automation and Engineering of Power Systems
Keywords Iteration Method
Relaxation Factor
Genetic Algorithm (GA)
Relaxation Method
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Snippet To solve large linear equations using SOR method, the most important thing is to ascertain relaxation factor. Considering current methods can not get the...
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StartPage 522
SubjectTerms Algorithms
Computer simulation
Feasibility
Genetic algorithms
Genetics
Linear equations
Optimization
Searching
Title Successive Over-Relaxation Method Based on PSO
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