Application of the Vortex Search Algorithm to the Phase-Balancing Problem in Distribution Systems

This article discusses the problem of minimizing power loss in unbalanced distribution systems through phase-balancing. This problem is represented by a mixed-integer nonlinear-programming mathematical model, which is solved by applying a discretely encoded Vortex Search Algorithm (DVSA). The numeri...

Full description

Bibliographic Details
Main Authors: Brandon Cortés-Caicedo, Laura Sofía Avellaneda-Gómez, Oscar Danilo Montoya, Lazaro Alvarado-Barrios, Harold R. Chamorro
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/5/1282
_version_ 1827588222985699328
author Brandon Cortés-Caicedo
Laura Sofía Avellaneda-Gómez
Oscar Danilo Montoya
Lazaro Alvarado-Barrios
Harold R. Chamorro
author_facet Brandon Cortés-Caicedo
Laura Sofía Avellaneda-Gómez
Oscar Danilo Montoya
Lazaro Alvarado-Barrios
Harold R. Chamorro
author_sort Brandon Cortés-Caicedo
collection DOAJ
description This article discusses the problem of minimizing power loss in unbalanced distribution systems through phase-balancing. This problem is represented by a mixed-integer nonlinear-programming mathematical model, which is solved by applying a discretely encoded Vortex Search Algorithm (DVSA). The numerical results of simulations performed in IEEE 8-, 25-, and 37-node test systems demonstrate the applicability of the proposed methodology when compared with the classical Cuh & Beasley genetic algorithm. In addition, the computation times required by the algorithm to find the optimal solution are in the order of seconds, which makes the proposed DVSA a robust, reliable, and efficient tool. All computational implementations have been developed in the MATLAB<sup>®</sup> programming environment, and all the results have been evaluated in DigSILENT© software to verify the effectiveness and the proposed three-phase unbalanced power-flow method.
first_indexed 2024-03-09T00:30:23Z
format Article
id doaj.art-50cc32fe20074abba4a3e5b2af2312e3
institution Directory Open Access Journal
issn 1996-1073
language English
last_indexed 2024-03-09T00:30:23Z
publishDate 2021-02-01
publisher MDPI AG
record_format Article
series Energies
spelling doaj.art-50cc32fe20074abba4a3e5b2af2312e32023-12-11T18:33:18ZengMDPI AGEnergies1996-10732021-02-01145128210.3390/en14051282Application of the Vortex Search Algorithm to the Phase-Balancing Problem in Distribution SystemsBrandon Cortés-Caicedo0Laura Sofía Avellaneda-Gómez1Oscar Danilo Montoya2Lazaro Alvarado-Barrios3Harold R. Chamorro4Estudiantes de Ingeniería Eléctrica, Universidad Distrital Francisco José de Caldas, Bogotá 11021, ColombiaEstudiantes de Ingeniería Eléctrica, Universidad Distrital Francisco José de Caldas, Bogotá 11021, ColombiaFacultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 11021, ColombiaDepartment of Engineering, Universidad Loyola Andalucía, 41704 Sevilla, SpainDepartment of Electrical Engineering at KTH, Royal Institute of Technology, SE-100 44 Stockholm, SwedenThis article discusses the problem of minimizing power loss in unbalanced distribution systems through phase-balancing. This problem is represented by a mixed-integer nonlinear-programming mathematical model, which is solved by applying a discretely encoded Vortex Search Algorithm (DVSA). The numerical results of simulations performed in IEEE 8-, 25-, and 37-node test systems demonstrate the applicability of the proposed methodology when compared with the classical Cuh & Beasley genetic algorithm. In addition, the computation times required by the algorithm to find the optimal solution are in the order of seconds, which makes the proposed DVSA a robust, reliable, and efficient tool. All computational implementations have been developed in the MATLAB<sup>®</sup> programming environment, and all the results have been evaluated in DigSILENT© software to verify the effectiveness and the proposed three-phase unbalanced power-flow method.https://www.mdpi.com/1996-1073/14/5/1282load connectionphase-balancingpower lossthree-phase power flowunbalanced distribution systemsvortex search algorithm
spellingShingle Brandon Cortés-Caicedo
Laura Sofía Avellaneda-Gómez
Oscar Danilo Montoya
Lazaro Alvarado-Barrios
Harold R. Chamorro
Application of the Vortex Search Algorithm to the Phase-Balancing Problem in Distribution Systems
Energies
load connection
phase-balancing
power loss
three-phase power flow
unbalanced distribution systems
vortex search algorithm
title Application of the Vortex Search Algorithm to the Phase-Balancing Problem in Distribution Systems
title_full Application of the Vortex Search Algorithm to the Phase-Balancing Problem in Distribution Systems
title_fullStr Application of the Vortex Search Algorithm to the Phase-Balancing Problem in Distribution Systems
title_full_unstemmed Application of the Vortex Search Algorithm to the Phase-Balancing Problem in Distribution Systems
title_short Application of the Vortex Search Algorithm to the Phase-Balancing Problem in Distribution Systems
title_sort application of the vortex search algorithm to the phase balancing problem in distribution systems
topic load connection
phase-balancing
power loss
three-phase power flow
unbalanced distribution systems
vortex search algorithm
url https://www.mdpi.com/1996-1073/14/5/1282
work_keys_str_mv AT brandoncortescaicedo applicationofthevortexsearchalgorithmtothephasebalancingproblemindistributionsystems
AT laurasofiaavellanedagomez applicationofthevortexsearchalgorithmtothephasebalancingproblemindistributionsystems
AT oscardanilomontoya applicationofthevortexsearchalgorithmtothephasebalancingproblemindistributionsystems
AT lazaroalvaradobarrios applicationofthevortexsearchalgorithmtothephasebalancingproblemindistributionsystems
AT haroldrchamorro applicationofthevortexsearchalgorithmtothephasebalancingproblemindistributionsystems