Research Article
Parameter-Free Improved Best-Worst Optimizers and Their
Application for Simultaneous Distributed Generation and Shunt
Capacitors Allocation in Distribution Networks
Zohaib Hussain Leghari ,
1
Saddam Hussain ,
2
Ahsanullah Memon ,
3
Abdul Hakeem Memon ,
1
and Ashfaque Ahmed Baloch
4
1
Department of Electrical Engineering, Mehran University of Engineering and Technology (MUET), Jamshoro 76062,
Sindh, Pakistan
2
School of Electrical Engineering (SKE), Faculty of Engineering, Universiti Teknologi Malaysia (UTM), Johor Bahru 81310,
Johor, Malaysia
3
Department of Electrical Engineering, Mehran University of Engineering and Technology (MUET), SZAB Campus,
Khairpur Mirs 66020, Sindh, Pakistan
4
Department of Electrical Engineering, Ziauddin University Faculty of Engineering, Science and Technology (ZUFEST),
Karachi 74600, Sindh, Pakistan
CorrespondenceshouldbeaddressedtoZohaibHussainLeghari;zohaib.leghari@faculty.muet.edu.pk
Received 11 March 2022; Revised 15 July 2022; Accepted 19 July 2022; Published 24 September 2022
AcademicEditor:GulshanSharma
Copyright © 2022 Zohaib Hussain Leghari et al. is is an open access article distributed under the Creative Commons
AttributionLicense,whichpermitsunrestricteduse,distribution,andreproductioninanymedium,providedtheoriginalworkis
properlycited.
ispaperproposesparameter-freetwobest-worstoptimizers(BWOs)thatcombinethesearchingcapabilitiesofJayaandRao-1
algorithmstointensifytheirexplorationandexploitationcapabilities.Fortheproposedfirstoptimizer,BWO-1,paralleltaxonomy
hasbeenadoptedfortheJayaandRao-1combinationtoobtaindualsetsofupdatedsolutionsforagivencurrentsolutionset.For
the proposed second optimizer, BWO-2, along with the parallel taxonomy, a subloop of random scaling factors has been in-
troducedinthesolutionupdatingmechanismofbothstandardJayaandRao-1algorithmstogeneratemultiplesetsofupdated
solutions in a single iteration. e best solutions from obtained multiple solution-sets will survive only and lead to the next
iteration.Hence,theproposedsolutionupdatingmechanismsforBWO-1andBWO-2increasetheprobabilityofgettingaquality
solutionundersetconditions.eabilityandscalabilityofBWO-1andBWO-2wereassessed,solvingtheoptimizationproblem
ofpowerlossreductionandvoltagedeviationminimizationintheIEEE33-busand69-bustestsystems.eresultsshowthatthe
BWO-2exhibitedaleadof2.97%,1.83%,and0.72%overtheRao-1,Jaya,andBWO-1techniques,respectively.Besides,theBWO-
2 achieves up to 38.76% more reduction in power losses against the existing standard, improved, and hybrid
optimization techniques.
1.Introduction
Duetotherisingpowerdemandforelectricity,utilitiesface
challenges such as increased power losses, poor voltage
regulation, reduced power quality, irregularity in power
supply, high short-circuit levels, and poor power system
stability.Generally,comparedtothetransmissionlines,the
currentflowsarehigherinthedistributionnetworks,which
areusuallyradial.Forthesereasons,asignificantamountof
power losses are related to the distribution networks. It is
reported that about 13% of the total generated power is
wasted as power loss in distribution networks [1, 2]. e
distributedgeneration(DG)andshuntcapacitors(SCs)are
generally installed into the radial distribution networks
(RDNs)asaneffectivemeasuretoreducepowerlossesand
improvereliability.DGsareoftenusedasthesourceofactive
andreactivepowerswhileSCsareusedonlyasasourceof
reactive power. Resultantly, SCs are considered less
Hindawi
International Transactions on Electrical Energy Systems
Volume 2022, Article ID 6833488, 31 pages
https://doi.org/10.1155/2022/6833488