An extended formulation for two-stage stochastic unit commitment with reserves

We derive extended formulations for the two-stage stochastic unit commitment with reserves. Our approach can capture most physical characteristics of a complicated thermal generator including min-up/-down time limit, time-dependent start-up costs, start-up/shut-down ramping, general ramping in stable region, and reserve amount commitments. The include both convex hull descriptions feasible region envelopes piece-wise linear quadratic objective functions, which provide optimal value original problem.