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In this paper, we present and study a robust unit commitment model and somevariants that consider complex temperature and demand uncertainties. Sincethere is a strong relationship among the efficiency of gas generators, demand,and temperature in practical systems, our robust models have both left- andright-hand-side (LHS and RHS, respectively) uncertainties. Unlike many existingrobust models with RHS uncertainty only, the introduction of LHS uncertaintyimposes a huge challenge in computing robust solutions. For those complexformulations, we analyze their structures, derive important properties, anddesign exact and fast approximation solution strategies under thecolumn-and-constraint generation framework. Numerical experiments are conductedon typical IEEE test systems, which showcase the great performance of oursolution methods and demonstrate a clear impact of complex and correlateduncertainties in system operations.

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