Analytical conditions for determining feasible commitment states of SCUC problems

Security constrained unit commitment (SCUC) is one of the most important daily tasks that independent system operators (ISOs) or regional transmission organizations (RTOs) must accomplish in daily electric power market. Identifying the feasibility of the unit commitment state with security constraints is crucial for solving SCUC problems. If the feasibility of unit commitment state can be identified quickly, the efficiency of SCUC problem-solving methods can be greatly improved. In this paper, a group of analytical conditions for a commitment state to be feasible is established. More importantly, most of the commitment states can be quickly identified as feasible/infeasible by using these conditions. Numerical testing is performed for 2 power grids and the preliminary results shows that over 95% of infeasible commitment states are identified analytically by one of the necessary conditions, and over 74% of feasible commitment states are identified by the analytical sufficient conditions. Also, these conditions provide useful information for obtaining feasible SCUC solutions.