Journal
IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 26, Issue 3, Pages 1581-1590Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2010.2087367
Keywords
Bilevel programming; contingency-constrained unit commitment; n - K security criterion; robust optimization; umbrella contingency
Categories
Funding
- Ministry of Science of Spain under CICYT [ENE2009-07836]
- Junta de Comunidades de Castilla-La Mancha [PAI08-0077-6243]
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This paper presents a new approach for the contingency-constrained single-bus unit commitment problem. The proposed model explicitly incorporates an n - K security criterion by which power balance is guaranteed under any contingency state comprising the simultaneous loss of up to K generation units. Instead of considering all possible contingency states, which would render the problem intractable, a novel method based on robust optimization is proposed. Using the notion of umbrella contingency, the robust counterpart of the original problem is formulated. The resulting model is a particular instance of bilevel programming which is solved by its transformation to an equivalent single-level mixed-integer programming problem. Unlike previously reported contingency-dependent approaches, the robust model does not depend on the size of the set of credible contingencies, thus providing a computationally efficient framework. Simulation results back up these conclusions.
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