Convex Formulation for Optimal Active and Reactive Power Dispatch

Authors

Keywords:

Bilevel optimization, convex programming, opportunity costs, optimal power flow, strong duality

Abstract

This paper proposes a convex programming model to solve the optimal power flow problem (OPF) related to the problems of generation active power dispatch and opportunity costs to meet the reactive power needs in energy markets. The problem is initially represented as a bilevel optimization problem where the upper level considers the minimization of opportunity costs of generating units through a second-order cone programming OPF model, and the lower level is a linear programming model that minimizes the value of active power offered by generators to the market energy. Subsequently, through the concept of strong duality, the problem is transformed into a one-level convex optimization model. Comparisons of the proposed modeling with other level formulations are presented. Results are presented for the IEEE14 and IEEE30 bus systems.

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Author Biographies

Mauro Viegas da Silva, Universidade do Estado de Mato Grosso

received the B.Sc. degree in Mathematics from the Mato Grosso Federal University in 1999, M.Sc. in Mathematics, and Ph.D. in electrical engineering from the São Paulo State University, Brazil, in 2011 and 2018, respectively. He is currently a professor at Mato Grosso Federal University. His research interests include the development of methodologies for the optimization, planning, and control, of electrical power systems.

Juan Manuel Home Ortiz, São Paulo State University – UNESP - Ilha Solteira, Brazil

received the B.Sc. and M.Sc. degrees in electrical engineering from the Universidad Tecnológica de Pereira, Colombia, in 2011 and 2014, respectively, and the Ph.D. degree in electrical engineering from the São Paulo State University (UNESP), Ilha Solteira, Brazil, in 2019. Currently, he is carrying out postdoctoral research with the UNESP. His research interests include the development of methodologies for the optimization, planning, and control, of electrical power systems.

Mahdi Pourakbari-Kasmaei, Aalto university

 (S’10–M’15–SM’19) received his Ph.D. degree in electrical engineering, power systems, from the Universidad Estadual Paulista (UNESP), Ilha Solteira, Brazil in 2015. He was a postdoctoral fellow at UNESP and also a visiting researcher at Universidad de Castilla-La Mancha, Spain, for about 15 months. He was a project executive of three practical projects, PI of three academic projects, and also a consultant in an electric power distribution company. Currently, he is with the Department of Electrical Engineering and Automation, Aalto University, Finland. He is also the Chairman of IEEE PES Finland IE13/PE31/34/PEL35 Joint Chapter. His research interests include power systems planning, operations, economics, and environmental issues.

José Roberto Sanches Mantovani, Department of Electrical Engineering, Power System Planning Lab, Sao Paulo State University (UNESP), Ilha Solteira–SP, Brazil

(M’06) received the B.Sc. degree from the Sao Paulo State University (UNESP), Ilha Solteira, Brazil, in 1981, and the M.Sc. and Ph.D. degrees from the University of Campinas, Campinas, Brazil, in 1987 and 1995, respectively, all in electrical engineering. He is currently a Professor with the Department of Electrical Engineering, UNESP. His research interests include the development of methodologies for the optimization, planning, and control of electrical power systems, and applications of artificial intelligence in power systems.

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Published

2022-01-07

How to Cite

Viegas da Silva, M., Home Ortiz, J. M., Pourakbari-Kasmaei, M., & Sanches Mantovani, J. R. (2022). Convex Formulation for Optimal Active and Reactive Power Dispatch. IEEE Latin America Transactions, 20(5), 787–798. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/6031