In order to enhance the power supply capability and disaster resistance ability of power systems under extreme natural disasters

a multi-objective planning method of anti-disaster backbone grid is proposed with the guarantee rate of the load requirements

security operation constraints of the power system and connectivity of the network topology satisfied. In the proposed strategy

a multi-objective planning model of anti-disaster backbone grid

in which the reinforce cost of differential planning

the efficiency of power resupply after a disaster and the ability of the backbone grid to resist the disaster are considered comprehensively

is constructed for maximizing economics

resilience and network survivability. The graph repair strategy is utilized in comprehensive learning particle swarm optimization algorithm

which increases the feasible solution space of the algorithm. Then

the mixed strategy Nash equilibrium

which can balance the benefit of each objective function

is adopted to extract the best compromise solution with the optimal equilibrium value from the Pareto fronts obtained by the algorithm. The feasibility of the proposed method is verified by the numerical results of a regional power grid in Guangdong Province.