Solving certain complementarity problems in power markets via convex programming

G. Constante-Flores (), A. J. Conejo () and S. Constante-Flores ()
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G. Constante-Flores: The Ohio State University
A. J. Conejo: The Ohio State University
S. Constante-Flores: University of Campinas, UNICAMP

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2022, vol. 30, issue 3, No 3, 465-491

Abstract: Abstract We address the solution of certain Mathematical Programs with Equilibrium Constraints (MPECs) in power markets using convex optimization. These MPECs constitute a class of complementarity problems relevant to the design and operation of power markets. Specifically, given a non-convex continuous MPEC of the considered type, we iteratively solve a collection of convex optimization problems that approximate the MPEC until a pre-specified tolerance is reached. We use an insightful example to illustrate the proposed solution technique and a case study to analyze its computational performance.

Keywords: Convex programming; MPECs; Power markets; 90C33; 90C25 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11750-022-00627-3

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