Solving certain complementarity problems in power markets via convex programming

• G. Constante-Flores ^[1] ; A. J. Conejo ^[1]
  1. [1] Ohio State University

     Ohio State University

     City of Columbus, Estados Unidos

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 30, Nº. Extra 3, 2022, págs. 465-491
• Idioma: inglés
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• Resumen

  • 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.