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Vol. 14 No. 2 (2024)
Julio-Diciembre

Articles

Quadratic functions for efficient load balancing in the terminals of a substation of a three-phase asymmetric network with power loss reduction capabilities

https://doi.org/10.19053/uptc.20278306.v14.n2.2024.17925

Published 2024-07-15

Lina María Riaño-Enciso
ENEL, Bogotá, Colombia

Oscar Danilo Montoya-Giraldo
District University of Bogotá, Bogotá, Colombia image/svg+xml

Walter Julián Gil-González
Technological University of Pereira, Pereira, Colombia image/svg+xml

Abstract

This research addresses the problem of optimal load balancing in terminals of the three-phase substation by proposing three quadratic objective functions. These objective functions are formulated considering active, reactive, and apparent power consumptions aggregated at the terminals of the substation. The proposed formulation belongs to the mixed-integer quadratic models’ family, which can be solved globally with specialized mixed-integer convex tools. To evaluate the effect of load redistribution in the substation terminals, the 15- and 35-bus grids are tested using each of the proposed quadratic functions. In addition, Broyden's unbalanced power flow method is used to determine the extent of power loss reduction and enhancement of voltage profile. Numerical results confirm the effectiveness of the proposed mixed-integer quadratic model in enhancing electrical performance in three-phase asymmetric networks through load balancing at the substation terminals. After solving each quadratic function for the 15-bus grid, power losses were reduced between 12.9624% and 17.2550%, and these reductions were between 5.0771% and 7.7389% in the 35-bus grid.

Keywords

mixed-integer quadratic models, load redistribution, asymmetric three-phase networks, Broyden’s power flow method

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Author Biography

Lina María Riaño-Enciso

Ingeniera Eléctrica, Estudiante de Maestría en Ingeniería

Oscar Danilo Montoya-Giraldo

Ingeniero Electricista, Doctor en Ingeniería.

Walter Julián Gil-González

Ingeniero Electricista, Doctor en Ingeniería.

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