DOI:

https://doi.org/10.14483/23448393.21340

Published:

2024-01-17

Issue:

Vol. 29 No. 1 (2024): January-April

Section:

Electrical, Electronic and Telecommunications Engineering

Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids

Optimización estocástica, entera mixta y de flujo por ramas para la integración optima de bancos de capacitores de paso fijo en redes de distribución de energía

Authors

Keywords:

Stochastic mixed-integer model, branch flow optimization, fixed-step capacitor banks, electrical distribution network, global optimum (en).

Keywords:

modelo estocástico de enteros mixtos, optimización de flujo de ramas, bancos de capacitores de paso fijo, red de distribución eléctrica, óptimo global (es).

Abstract (en)

Context: The use of capacitor banks is the most common and preferred solution for reducing power loss in electrical distribution networks, given their cost-effectiveness and low maintenance requirements. However, achieving their optimal integration in terms of location and size is a challenging problem.
 Method: This paper proposes a stochastic mixed-integer convex model based on a branch flow optimization model, which incorporates three different load-generation conditions, in order to address the stochastic nature of distribution systems.
Results: The simulation results indicated that the proposed stochastic mixed-integer branch flow (SMIBF) model provides the best solution for all test feeders analyzed, reducing the objective function value by 39.81%, 35.29%, and 56.31% for the modified 33-, 69-, and 85-node test feeders, respectively.
Conclusions: An SMIBF model was developed to optimally integrate fixed-step capacitor banks into electrical distribution grids. This model considered the stochastic nature of distribution systems under multiple operating conditions and ensured that the global optimum could be found.

Abstract (es)

Contexto: El uso de bancos de capacitores es la solución más común y preferida para reducir la pérdida de energía en redes de distribución eléctrica, dados, su rentabilidad y bajos requisitos de mantenimiento. Sin embargo, lograr su integración óptima en términos de ubicación y tamaño es un problema desafiante.
Métodos: Este artículo propone un modelo convexo estocástico entero-mixto basado en un modelo de optimización de flujo de ramas, que incorpora tres diferentes condiciones de generación de carga, para abordar la naturaleza estocástica de los sistemas de distribución.
Resultados: Los resultados de la simulación indicaron que el modelo SMIBF propuesto proporcionó la mejor solución para todos los sistemas de prueba analizados, reduciendo la función objetivo en comparación con el caso de referencia en un 39.81 %, 35.29 % y 56.31% para los alimentadores de prueba modificados de 33, 69 y 85 nodos, respectivamente.
Conclusiones: Se desarrolló un modelo SMIBF para integrar de manera óptima bancos de condensadores de paso fijo en redes de distribución eléctrica. Este modelo tuvo en cuenta la naturaleza estocástica de los sistemas de distribución bajo múltiples condiciones de operación y garantizó el logro del óptimo global.

Author Biography

Walter Julián Gil-González, Technological University of Pereira

Universidad Tecnológica de Pereira

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How to Cite

APA

Gil-González, W. J., Herrera-Orozco, A. R., and Molina-Cabrera, A. (2024). Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids . Ingeniería, 29(1), e21340. https://doi.org/10.14483/23448393.21340

ACM

[1]
Gil-González, W.J. et al. 2024. Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids . Ingeniería. 29, 1 (Jan. 2024), e21340. DOI:https://doi.org/10.14483/23448393.21340.

ACS

(1)
Gil-González, W. J.; Herrera-Orozco, A. R.; Molina-Cabrera, A. Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids . Ing. 2024, 29, e21340.

ABNT

GIL-GONZÁLEZ, Walter Julián; HERRERA-OROZCO, Andrés Ricardo; MOLINA-CABRERA, Alexander. Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids . Ingeniería, [S. l.], v. 29, n. 1, p. e21340, 2024. DOI: 10.14483/23448393.21340. Disponível em: https://revistas.udistrital.edu.co/index.php/reving/article/view/21340. Acesso em: 23 feb. 2024.

Chicago

Gil-González, Walter Julián, Andrés Ricardo Herrera-Orozco, and Alexander Molina-Cabrera. 2024. “Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids ”. Ingeniería 29 (1):e21340. https://doi.org/10.14483/23448393.21340.

Harvard

Gil-González, W. J., Herrera-Orozco, A. R. and Molina-Cabrera, A. (2024) “Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids ”, Ingeniería, 29(1), p. e21340. doi: 10.14483/23448393.21340.

IEEE

[1]
W. J. Gil-González, A. R. Herrera-Orozco, and A. Molina-Cabrera, “Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids ”, Ing., vol. 29, no. 1, p. e21340, Jan. 2024.

MLA

Gil-González, Walter Julián, et al. “Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids ”. Ingeniería, vol. 29, no. 1, Jan. 2024, p. e21340, doi:10.14483/23448393.21340.

Turabian

Gil-González, Walter Julián, Andrés Ricardo Herrera-Orozco, and Alexander Molina-Cabrera. “Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids ”. Ingeniería 29, no. 1 (January 17, 2024): e21340. Accessed February 23, 2024. https://revistas.udistrital.edu.co/index.php/reving/article/view/21340.

Vancouver

1.
Gil-González WJ, Herrera-Orozco AR, Molina-Cabrera A. Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids . Ing. [Internet]. 2024 Jan. 17 [cited 2024 Feb. 23];29(1):e21340. Available from: https://revistas.udistrital.edu.co/index.php/reving/article/view/21340

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