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...
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MDPI AG
2021-02-01
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Series: | Energies |
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Online Access: | https://www.mdpi.com/1996-1073/14/5/1282 |
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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 |
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