Post-disaster multi-timescale coordinated restoration of power and thermal cyber-physical system considering hot standby resources

After extreme natural disasters, the inherent coupling between the cyber and physical components of power and thermal cyber-physical systems (PTCPS) facilitates the coordinated emergency resources from both domains, thereby expediting system restoration. Previous research has overlooked the influences of hot standby emergency resources and actual services in post-disaster restoration. Taking into account thermal inertia (TI) and wireless communication emergency resources, this paper proposes a post-disaster multi-timescale coordinated restoration method for PTCPS, aiming to minimize load loss, reduce emergency costs, decrease communication delays, and maximize distributed generation (DG) absorption. Firstly, models for TI, wireless communication, and repair crew emergency resources are established, and the multi-timescale coordination emergency resources are formed. Secondly, based on the switch control and load control services, a cyber-physical interaction model is constructed, and a dynamic networking model for wireless communication with wired communication node access is established. Then, the communication network, physical system operations, and topology reconfiguration models are constructed. To optimize the numerous unconventional nonlinear constraints in the proposed model, the logical constraint and Big-M methods are introduced in linearization techniques, the multiple linearization methods are derived. Finally, case studies are conducted using an improved RBTS-Bus2 power system/12-node thermal system, demonstrating the effectiveness of the proposed method through comparisons with two benchmarks and highlighting the necessity of multi-timescale emergency resources and cyber-physical interaction.