DOI: 10.4018/IJAMC.2020070102
International Journal of Applied Metaheuristic Computing
Volume 11 • Issue 3 • July-September 2020
Copyright©2020,IGIGlobal.CopyingordistributinginprintorelectronicformswithoutwrittenpermissionofIGIGlobalisprohibited.
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Quantum-Behaved Bat Algorithm for
Solving the Economic Load Dispatch
Problem Considering a Valve-Point Effect
Pandian Vasant, Universiti Teknologi Petronas, Seri Iskandar, Malaysia
Fahad Parvez Mahdi, University of Hyogo, Kobe, Japan
https://orcid.org/0000-0002-0081-7358
Jose Antonio Marmolejo-Saucedo, Universidad Panamericana, Facultad de Ingeniería, Ciudad de México, Mexico
Igor Litvinchev, Nuevo Leon State University, San Nicolás de los Garza, Mexico
https://orcid.org/0000-0002-1850-4755
Roman Rodriguez Aguilar, Universidad Panamericana, Escuela de Ciencias Económicas y Empresariales, Ciudad de
México, Mexico
Junzo Watada, Universiti Teknologi Petronas, Seri Iskandar, Malaysia
ABSTRACT
Quantumcomputing-inspiredmetaheuristicalgorithmshaveemergedasapowerfulcomputational
tooltosolvenonlinearoptimizationproblems.Inthispaper,aquantum-behavedbatalgorithm
(QBA)isimplementedtosolveanonlineareconomicloaddispatch(ELD)problem.Theobjective
ofELDistofindanoptimalcombinationofpowergeneratingunitsinordertominimizetotal
fuelcostofthesystem,whilesatisfyingallotherconstraints.Tomakethesystemmoreapplicable
tothereal-worldproblem,avalve-pointeffectisconsideredherewiththeELDproblem.QBA
isappliedin3-unit,10-unit,and40-unitpowergenerationsystemsfordifferentloaddemands.
Theobtainedresultisthenpresentedandcomparedwithsomewell-knownmethodsfromthe
literature such as different versions of evolutionary programming (EP) and particle swarm
optimization(PSO),geneticalgorithm(GA),differentialevolution(DE),simulatedannealing
(SA)andhybridABC_PSO.ThecomparisonofresultsshowsthatQBAperformsbetterthan
the above-mentioned methods in terms of solution quality, convergence characteristics and
computationalefficiency.Thus,QBAprovestobeaneffectiveandarobusttechniquetosolve
suchnonlinearoptimizationproblem.
KEywoRDS
Economic Load Dispatch, Non-Convex, Optimization, Quantum-Behaved Bat Algorithm, Valve-Point Effect