Security-constrained unit commitment with wind power generation by using interval linear programming

This paper presents a security-constrained unit commitment (SCUC) model which takes into account the volatility of wind power generation and load. With the help of interval linear programming theory, this model can guarantee the security of the power system within the forecasting interval of wind power generation and load. The Benders decomposition technique is applied to decompose this model into a master problem and two sub-problems. The master problem solves a unit commitment (UC) without network security constraints. One sub-problem checks whether the commitment and dispatch solution of master problem can satisfy the network security constraints. The other sub-problem, using interval linear programming theory, checks whether the worst-case security constraints can be satisfied with the schedule obtained in the master problem. The iterative process will continue until no violation occurs in both sub-problems. The case studies are analyzed to exhibit the effectiveness of the proposed UC model to guarantee the security of power system and improve the economy of the system.