Maximum Capacity Boundary of Distributed Energy Resources in Distribution Networks Considering N-1 Security

The distribution network is challenged by rapidly growing distributed energy resources (DERs). Thus, the maximum acceptable capacity of DERs under the security of the distribution network is an urgent issue worthy of study. In this paper, a maximum capacity boundary (MCB) model is proposed to evaluate the positive and negative boundaries of the active power of DERs under N-1 security of distribution networks. The proposed MCB model is built similarly to two AC optimal power flow models, and the AC power flow constraints are established by reconstructing admittance matrices for each N-1 security scenario. In addition, the MCB model is decoupled into respectively solving the infimum and supremum of a series of sub-optimizations of AC optimal power flow model, each of which corresponds to one of the N-1 security scenarios of the distribution network. Case study verifies the effectiveness of the proposed MCB model.