This paper presents a novel hybrid method for solving the security constrained unit commitment (SCUC) problem. The proposed formulation requires much less computation time in comparison with other methods while assuring the accuracy of the results. Furthermore, the framework provided here allows including an accurate description of warmth-dependent startup costs, valve point effects, multiple f...

The increasing penetration of the renewable energy sources brings new challenges to frequency security power systems. In order guarantee system security, constraints are incorporated into unit commitment (UC) models. Due non-convex form nadir constraint which makes constrained UC (FCUC) intractable, this letter proposes a revised support vector machine (SVM) based parameter separating plane met...

The scenario approach is a general data-driven algorithm to chance-constrained optimization. It seeks the optimal solution that feasible carefully chosen number of scenarios. A crucial step in compute cardinality essential sets, which smallest subset scenarios determine solution. This article addresses challenge efficiently identifying sets. For convex problems, we demonstrate sparsest dual pro...

We develop a two-stage stochastic programming model with integer first-stage and mixed-integer recourse for solving the unit commitment problem in power generation in the presence of uncertainty of load profiles. The solution methodology rests on a novel scenario decomposition method for stochastic integer programming. This method combines Lagrangian relaxation of non-anticipativity constraints...