To improve the economy and security of the security-constrained optimal power flow(SCOPF)

a corrective security-constrained optimal power flow(CSCOPF)with the control of flexible AC transmission system(FACTS)devices is proposed based on the DC power flow. The FACTS device corrective action is adopted to control the line power flow within the allowable range while a contingency occurs. As the proposed model is a large-scale

non-convex and nonlinear model

it is hard to solve directly. First

the model is transformed into a mixed integer linear program(MILP)model by the Big-M method. Second

the Benders decomposition is used to decouple the proposed model into an optimal power flow master problem and an N-1 contingency check subproblem. Third

the non-convex subproblem is transformed into a linear program by fixing the binary variable

which can return the corresponding Benders cuts to the master problem. The proposed model and solution technique are tested on a 6-bus system and an IEEE RTS-79-bus system. Numerical results show that CSCOPF with the control of FACTS devices will leads to a lower operation cost. This work is supported Post-doctoral Science Foundation of China(No. 2016M590693).