An Innovative Approach to Radiality Representation in Electrical Distribution System Reconfiguration: Enhanced Efficiency and Computational Performance

Pablo José Cortés Sanabria, Alejandra Tabares Pozos, David Álvarez-Martínez () and Diego Alejandro Noriega Barbosa
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Pablo José Cortés Sanabria: Departamento de Ingeniería Industrial, Universidad de Los Andes, Cr 1 Este No 19A-40, Bogotá 111711, Colombia
Alejandra Tabares Pozos: Departamento de Ingeniería Industrial, Universidad de Los Andes, Cr 1 Este No 19A-40, Bogotá 111711, Colombia
David Álvarez-Martínez: Departamento de Ingeniería Industrial, Universidad de Los Andes, Cr 1 Este No 19A-40, Bogotá 111711, Colombia
Diego Alejandro Noriega Barbosa: Departamento de Ingeniería Industrial, Universidad de Los Andes, Cr 1 Este No 19A-40, Bogotá 111711, Colombia

Energies, 2024, vol. 17, issue 11, 1-17

Abstract: The reconfiguration problem (DPSR) in electrical distribution systems is a critical area of research, aimed at optimizing the operational efficiency of these networks. Historically, this problem has been approached through a variety of optimization methods. Regarding mathematical models, a key challenge identified in these models is the formulation of equations that ensure the radial operation of the system, along with the nonlinear equations representing Kirchhoff’s laws, the last often necessitating complex relaxations for practical application. This paper introduces an alternative representation of system radiality, which potentially surpasses or matches the existing methods in the literature. Our approach utilizes a more intuitive and compact set of equations, simplifying the representation process. Additionally, we propose a linearization of the current calculation in the power flow model typically used to solve DPSR. This linearization significantly accelerates the process of obtaining feasible solutions and optimal reconfiguration profiles. To validate our approach, we conducted rigorous computational comparisons with the results reported in the existing literature, using a variety of test cases to ensure robustness. Our computational results demonstrate a considerable improvement in computational time. The objective functions used are competitive and, in many instances, outperform the best reported results in the literature. In some cases, our method even identifies superior solutions.

Keywords: power distribution system reconfiguration; radial operation; mathematical modeling; linearization techniques; computational efficiency (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: 2024
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