Resilience-Oriented Load Restoration in Distribution Systems Considering Distributed Energy Resources

Micro-grids(MGs) with distributed generation (DG) provide a resilient solution in the case of major faults in a distribution system due to natural disasters. A resilience-oriented load restoration models that the energy will be supplied by DGs to hold maximum loads satisfying operation constraints is proposed in this paper. The virtual node and virtual branch are introduced to guarantee the topology of distribution systems. The outputs of the patchable and dis-patchable DGs and the sustainable power supply capacity will be considered. For the nonlinear characteristics of the proposed mathematical model, the piecewise linearization method is used to linearize the power flow constraints. Hence, the load restoration model for the distribution system is transformed into a mixed integer linear programming (MILP) problem. Numerical results based on modified IEEE-33 distribution test systems validate the effectiveness of our proposed method.