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Article

Advances in Optimal Reactive Power Dispatch: Formulations, Solution Approaches, and Future Directions

by
Edgar E. Tibaduiza-Rincón
1,
Walter M. Villa-Acevedo
2 and
Jesús M. López-Lezama
2,*
1
Escuela de Ingeneniería Electromecánica, Facultad Seccional Duitama, Universidad Pedagógica y Tecnológica de Colombia (UPTC), Seccional Duitama Carrera 18 con Calle 22, Duitama 150461, Colombia
2
Grupo de Investigación en Manejo Eficiente de la Energía (GIMEL), Departamento de Ingeniería Eléctrica, Universidad de Antioquia (UdeA), Calle 70 No. 52-21, Medellin 050010, Colombia
*
Author to whom correspondence should be addressed.
Processes 2026, 14(8), 1229; https://doi.org/10.3390/pr14081229 (registering DOI)
Submission received: 17 February 2026 / Revised: 30 March 2026 / Accepted: 8 April 2026 / Published: 11 April 2026
(This article belongs to the Special Issue Optimization and Analysis of Energy System)

Abstract

This paper provides a comprehensive analysis of the Optimal Reactive Power Dispatch (ORPD) problem, focusing on its mathematical formulations and the methodologies employed to solve it. This paper systematically categorizes the problem into single-objective and multi-objective formulations, as well as single-period and multi-period models, and addresses both single-area and multi-area operational frameworks. It explores a broad range of optimization techniques used to tackle the ORPD problem, including classical optimization methods, metaheuristic algorithms, and hybrid approaches. Additionally, this paper discusses the incorporation of uncertainty in ORPD models, highlighting methods to account for the stochastic nature of power systems. A critical assessment of the current literature identifies existing knowledge gaps and outlines promising future research directions. This paper aims to provide researchers with a thorough understanding of the ORPD problem, offering insights into emerging trends and areas for further exploration.
Keywords: multi-objective optimization; Optimal Reactive Power Dispatch; optimization methods; uncertainty modeling multi-objective optimization; Optimal Reactive Power Dispatch; optimization methods; uncertainty modeling

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MDPI and ACS Style

Tibaduiza-Rincón, E.E.; Villa-Acevedo, W.M.; López-Lezama, J.M. Advances in Optimal Reactive Power Dispatch: Formulations, Solution Approaches, and Future Directions. Processes 2026, 14, 1229. https://doi.org/10.3390/pr14081229

AMA Style

Tibaduiza-Rincón EE, Villa-Acevedo WM, López-Lezama JM. Advances in Optimal Reactive Power Dispatch: Formulations, Solution Approaches, and Future Directions. Processes. 2026; 14(8):1229. https://doi.org/10.3390/pr14081229

Chicago/Turabian Style

Tibaduiza-Rincón, Edgar E., Walter M. Villa-Acevedo, and Jesús M. López-Lezama. 2026. "Advances in Optimal Reactive Power Dispatch: Formulations, Solution Approaches, and Future Directions" Processes 14, no. 8: 1229. https://doi.org/10.3390/pr14081229

APA Style

Tibaduiza-Rincón, E. E., Villa-Acevedo, W. M., & López-Lezama, J. M. (2026). Advances in Optimal Reactive Power Dispatch: Formulations, Solution Approaches, and Future Directions. Processes, 14(8), 1229. https://doi.org/10.3390/pr14081229

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