Resilience Enhancement for Transmission Lines Under Decision-Dependent Uncertainty

Reinforcement of transmission lines before natural disasters such as typhoons is an effective measure to ensure that the power system can operate safely in face of extreme weather. To enhance the grid resilience, the uncertain problem is formulated as a two-stage robust optimization (TRO) problem for the resilient unit commitment. The exogenous uncertain polyhedral model does not address the coupling problem of typhoon hazard, reinforcement decision and transmission lines state, for which an decision-dependent uncertainty (DDU) set is constructed in this paper. Because the two-stage robust optimization problem based on decision-dependent uncertainty sets cannot be solved by the traditional column and constraint generation (C&CG) algorithm, a novel iterative algorithm based on the C&CG is invoked in this paper, in which advanced optimality cuts and feasibility cuts are designed to combine the uncertainty decision coupling. Lastly, the IEEE-5 bus test system is simulated under the influence of a typhoon to verify the effectiveness of the proposed method.