SR-based chance-constrained economic dispatch for power systems with wind power

In this study, the authors present a chance-constrained economic dispatch model for power systems with the integration of wind power. In the proposed model, the automatic generation control (AGC) regulation is adopted to compensate for the power variations caused by the forecast errors of wind power and load. Moreover, the power flow limits and the transient stability constraints under contingencies are formulated as chance constraints through the security region (SR) approach. On the basis of the hyper-plane characteristics of the boundaries of SR, the chance constraints of power flow limits and transient stability limits are converted to equivalent deterministic linear inequalities. The proposed method can assure that there is enough reserve capacity in the dispatch solution to accommodate the power variations caused by wind power and load, and the branch power flow limits and the transient stability constraints under uncertain power injections and contingencies are satisfied with a high probability. Numerical tests show that the proposed method has well-convergence property and computational efficiency and it serves as a useful tool for power dispatchers to identify a balance between economics and robustness of power system operation.