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Deregulated electricity markets with thermal losses and production bounds: models and optimality conditions
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SYSNO ASEP 0449000 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Deregulated electricity markets with thermal losses and production bounds: models and optimality conditions Author(s) Aussel, D. (FR)
Červinka, Michal (UTIA-B) RID, ORCID
Marechal, M. (CL)Number of authors 3 Source Title R A I R O - Operations Research - ISSN 0399-0559
Roč. 50, č. 1 (2016), s. 19-38Number of pages 20 s. Publication form Print - P Language eng - English Country FR - France Keywords Deregulated electricity market ; production bounds ; mathematical program with complementarity constraints ; M-stationarity ; calmness Subject RIV BA - General Mathematics R&D Projects GAP402/12/1309 GA ČR - Czech Science Foundation (CSF) GA201/09/1957 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000369421300002 EID SCOPUS 84939622354 DOI 10.1051/ro/2015009 Annotation A multi-leader-common-follower game formulation has been recently used by many authors to model deregulated electricity markets. In our work, we first propose a model for the case of electricity market with thermal losses on transmission and with production bounds, a situation for which we emphasize several formulations based on different types of revenue functions of producers. Focusing on a problem of one particular producer, we provide and justify an MPCC reformulation of the producer’s problem. Applying the generalized differential calculus, the so-called M-stationarity conditions are derived for the reformulated electricity market model. Finally, verification of suitable constraint qualification that can be used to obtain first order necessary optimality conditions for the respective MPCCs are discussed. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2016
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