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arXiv · 2206.09239

Two-Stage Robust Unit Commitment Problem with Complex Temperature and Demand Uncertainties

Wei Wang·Anna Danandeh·Brian Buckley·Bo Zeng
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Abstract

In this paper, we present and study a robust unit commitment model and some variants that consider complex temperature and demand uncertainties. Since there is a strong relationship among the efficiency of gas generators, demand, and temperature in practical systems, our robust models have both left- and right-hand-side (LHS and RHS, respectively) uncertainties. Unlike many existing robust models with RHS uncertainty only, the introduction of LHS uncertainty imposes a huge challenge in computing robust solutions. For those complex formulations, we analyze their structures, derive important properties, and design exact and fast approximation solution strategies under the column-and-constraint generation framework. Numerical experiments are conducted on typical IEEE test systems, which showcase the great performance of our solution methods and demonstrate a clear impact of complex and correlated uncertainties in system operations.

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Wei Wang, Anna Danandeh, Brian Buckley, Bo Zeng. 2022-06-18. Two-Stage Robust Unit Commitment Problem with Complex Temperature and Demand Uncertainties. https://arxiv.org/abs/2206.09239

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