Abstract: In view of the security problems in the Internet of energy (IOE), we propose an optimal power supply restoration and emergency maintenance sequence scheme based on the characteristics of multi energy complementarity. A thermal-gas-electric poly-energy form mathematical model of IOE was presented in this paper. In addition, a thermoelectric coupling model based on micro gas turbine was also introduced. On this basis, the resilience index of the regional IOE was given, and the impact of component failures under extreme weather and the process of failure recovery were discussed and analyzed. Each region was divided into different fault scenarios according to the severity and urgency of power loss. With the aim of minimizing the global total economic loss, the optimal objective function and constraints for regional IOE recovery were given. The discrete particle swarm optimization algorithm (DPSO) was employed to find the global optimal solution, and then the optimal power supply recovery scheme and maintenance order were obtained. Finally, an improved IOE system was utilized to verify the feasibility and effectiveness of the proposed strategy.