Cost-optimal operation and recovery method for power distribution systems considering multiple flexible resources and logistics restrictions

Abstract Extreme weather events do great harm to power distribution systems, causing widespread outages and huge economic losses. It is necessary to investigate the operation and recovery methods for power distribution systems against extreme weather events with small probability and high risk. Accordingly, this paper proposes a cost-optimal operation and recovery method for power distribution systems considering multiple flexible resources and logistics restrictions. The method is developed as a two-stage model to obtain the optimal cost consisting of lost load cost and network loss cost. In the first stage before the disaster, the pre-allocation of repair crews combines multiple flexible resources to cope with the upcoming extreme weather event. In the second stage after the disaster, repair crews coordinate with flexible resources to quickly recover the lost load of the system. The cooperative scheduling of repair crews and flexible resources in the method is restricted by the logistics of transportation networks. Based on the network loss, the two-stage model is formulated as a mixed integer second-order cone programming. The case study conducted on a modified IEEE 33-bus test system demonstrates the effectiveness of the method proposed in this paper.