Post-disaster power system restoration planning considering sequence dependent repairing period

In this paper, a post-disaster restoration planning (PDRP) model for critical power system infrastructure is proposed. The model intends to find the optimal repair and activation schedule for damaged components so that the system load accommodation capability is maximized and the makespan of restoration process is minimized. The model takes into account the effect of adverse weather on the component repair process and a time-varying repair velocity function model is proposed to obtain the time-varying repair duration (TVRD) of the damaged component. The sequence-dependent repairing period (SDRP) of damaged components can be formed by combining TVRD and the transportation time of resources, and embedded into the PDRP model. The proposed model also allows the repair units to perform repair work on arbitrary damage component, not just the damage components in their routine service area. As a result, the maintenance efficiency is maximized. A two-stage bi-pheromone heuristic method is developed to efficiently solve the proposed PDRP model. The sequence position adherence information of each repair task and the relationship between two adjacent tasks are used in the search so that the solution time of the PDRP model is avoided from increasing exponentially with the problem size. The IEEE-118 and IEEE-30 bus test system are used for case studies to validate the proposed model and method. In addition, advantages of considering the sequence dependent repairing period are presented.