Resilience Enhancement for Transmission Lines with Circuit Breakers under Exogenous Uncertainties

To improve the resilience of the power system against typhoon events, a two-stage robust optimization (TRO) model considering the line failure stochasticity is proposed. The generator status and output are pre-scheduled in the first stage to minimize operation costs. In the second stage, a recourse method is applied to identify the worst-case failure scenario of the transmission line within a polyhedral uncertainty set. This uncertainty set considers line repair and non-repair strategies, and the impact of typhoons on transmission lines is quantified as the failure probability. The objective function of the second stage is to minimize the load shedding and generator curtailment costs of power system due to circuit breaker (CB) operation. The column-and-constraint generation (C&CG) algorithm is used to solve this TRO model. The proposed model is tested on the IEEE 24-reliability test system (RTS) under a typhoon to verify its effectiveness.