G. Constante Flores, Antonio J. Conejo
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.
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