Resilience-Oriented Two-Stage Restoration Considering Coordinated Maintenance and Reconfiguration in Integrated Power Distribution and Heating Systems

The inherent linkage between a power distribution system (PDS) and a district heating system (DHS) necessitates coordinated load restoration after natural disasters. To guarantee optimal load restoration during a recovery process, a coordinated dispatch strategy of the maintenance crew for the PDS/DHS considering the optimal reconfiguration of their respective networks is proposed in this paper. The proposed solution focuses on the intricate mutual interaction of the DHS and PDS and coordinates the fault isolation and service restoration stages. The proposed optimization is modeled as a mixed-integer second-order cone problem (MISOCP), which contains numerous integer variables. To lessen the computational burden, a two-stage acceleration algorithm is proposed, which divides the solution procedure into two stages based on two types of integer variables: load status variables and variables associated with the maintenance path and network topology. Then, the acceleration principles are proposed to determine the load status variables. The effectiveness and accuracy of the proposed model are validated by extensive cases, which demonstrate the performance of the coordinated maintenance and reconfiguration in integrated energy systems for fault recovery.