Linear Programming Method of Dynamic Fault Restoration for Distribution Network Considering Balanced Node

A linear programming method for fault restoration is proposed, which considering the dynamic island partition and balanced node. Firstly, the analytical expression of the mapping between the network topology matrix and the island partition is expressed, while the balanced node selection strategy is proposed. From this, the dynamic fault restoration model for distribution network is established. Secondly, the linearization of island partition map is realized based on Koopman theory, and the mixed integer linear programming form of fault dynamic restoration model is established by combining the big M method. The effectiveness of this method is tested by a 43-node system. The results show that the proposed method can achieve the coordination of network topology and distributed generations(DGs), and effectively improve the resilience of the distribution network.