Transmission capacity margin assessment in power systems with uncertain wind integration

High penetration of renewable resources will increase the risk of overloading transmission lines and the difficulty of controlling transmission grid in a safe operation. In this paper, a model for transmission capacity margin assessment (TCMA) is established to quantify the transmission security with uncertain wind generation. The basic formulation is reformulated as a two-stage non-differentiable programming model. It can be transformed into a mixed integer linear programming (MILP) by duality theory and specific linearization techniques. Furthermore, an effective procedure is developed to improve the transmission capacity margin by necessary wind curtailment. A detailed case study is performed on the IEEE 31-bus system and numerical results verify the effectiveness of this TCMA framework.