基于鲁棒-变分框架的电力-交通耦合系统韧性提升方法OA

In the context of extreme disasters,enhancing the resilience of power-transportation coupling networks has become a key concern for ensuring the functionality of critical urban infrastructures.To account for user behavior in transportation networks,this paper proposes a resilience improvement method for power-transportation coupling system based on a two-stage robust optimization framework that incorporates variational inequalities.First,a tri-level resilience improvement model is formulated,encompassing pre-disaster investment,mid-disaster response,and post-disaster operation,all subjected to user equilibrium constraints.Second,to tackle the challenge that user-equilibrium-based transportation subproblems cannot be directly dualized,a variational inequality approach is introduced to equivalently capture the equilibrium state,thereby establishing the robust optimization-variational inequality-based resilience framework.To effectively solve the resulting problem,it is proven that,under given first-stage decisions,the inner-layer model satisfies strong duality,and a two-level solution strategy integrating column-and-constraint generation with fixed-point projection is designed.Finally,numerical simulation verifies the effectiveness of the proposed model and solution method,demonstrating the necessity of resilience improvement investments to maintain stable operation of power-transportation coupling networks in extreme disaster scenarios.