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

Brandon Cortés-Caicedo, Laura Sofía Avellaneda-Gómez, Oscar Danilo Montoya, Lazaro Alvarado-Barrios and Harold R. Chamorro
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Brandon Cortés-Caicedo: Estudiantes de Ingeniería Eléctrica, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia
Laura Sofía Avellaneda-Gómez: Estudiantes de Ingeniería Eléctrica, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia
Oscar Danilo Montoya: Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia
Lazaro Alvarado-Barrios: Department of Engineering, Universidad Loyola Andalucía, 41704 Sevilla, Spain
Harold R. Chamorro: Department of Electrical Engineering at KTH, Royal Institute of Technology, SE-100 44 Stockholm, Sweden

Energies, 2021, vol. 14, issue 5, 1-35

Abstract: 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 ® 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.

Keywords: load connection; phase-balancing; power loss; three-phase power flow; unbalanced distribution systems; vortex search algorithm (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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