Optimal spinning reserve allocation strategy under uncertainties and contingencies

Spinning reserve (SR) allocation problem is of vital importance in maintaining power systems security and reliability. Considering forecast uncertainties, unit commitment problem and contingencies on the failure of transmission lines, a general probabilistic model for expected total cost is established and its corresponding solution for optimal SR allocation strategy is proposed. The objective function of this model is proved to be convex through positive semi-definite Hessian matrix while the constraints are all linear, which means the global optimal solution can be effectively found. A test case based on the PJM 5-bus system is presented to illustrate the convexity of the proposed model and the effectiveness of the proposed solution method.