增强多时段主动配电网恢复与修复模型中的辐射状约束——面向最优孤岛数量的动态孤岛合并

Maintaining the radial topology during the system restoration is vital to ensure the resilience of distribution networks. This paper proposes a multi-period restoration and repair model that considers an optimal number of islands after N-k contingencies in active distribution networks, allowing islands to dynamically merge during both restoration and line repair processes. Considering the variable network topology during restoration, a novel radiality constraint is proposed to explicitly characterize the relationship between the states of lines and buses, reducing redundant islands and improving overall network resilience. Through case studies on multiple IEEE test systems and a practical 2121-bus network, the model demonstrates a 54% higher load restoration rate, and achieves full recovery 30% faster than fixed-island models. The capability of the proposed model is shown to maintain radial topology and the effectiveness for launching the multi-period restoration.