Energy and reserve scheduling under an N-k security criterion via robust optimization


This paper presents a new approach to simultaneously schedule energy and reserve in an electricity market. 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 contingencies, 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 contingency set, thus providing a computationally efficient framework. Simulation results back up these conclusions.

17th Power Systems Computation Conference
Fabricio Oliveira
Fabricio Oliveira
Associate Professor of Operational Research

Fabricio Oliveira is an Associate Professor of Operational Research in the Department of Mathematics and Systems Analysis.