Two-stage models for flood mitigation of electrical substations

We compare stochastic programming and robust optimization decision models for informing the deployment of temporary flood mitigation measures to protect electrical substations prior to an imminent and uncertain hurricane. In our models, the first stage captures the deployment of a fixed quantity of flood mitigation resources, and the second stage captures the operation of a potentially degraded power grid with the primary goal of minimizing load shed. To model grid operation, we introduce novel adaptations of the DC and LPAC power flow approximation models that feature relatively complete recourse by way of a blackout indicator variable and relaxed model of power generation. We apply our models to a pair of geographically realistic flooding case studies, one based on Hurricane Harvey and the other on Tropical Storm Imelda. We investigate the effect of the mitigation budget, the choice of power flow model, and the uncertainty perspective on the optimal mitigation strategy. Our results indicate the mitigation budget and uncertainty perspective are impactful whereas the choice of power flow model is of little to no consequence

Optimizing Primary Response in Preventive Security-Constrained Optimal Power Flow

Preventive security-constrained optimal power flow (PSCOPF) dispatches controllable generators at minimum cost while ensuring that the system adheres to all operating constraints. All the transmission and generation limits are respected during both the pre- and post-contingency states without relying on post-contingency redispatch. Therefore, all credible generation contingencies should be modeled in PSCOPF and the system-wide automatic primary response should be allocated accordingly among synchronized generators by adjusting their droop coefficients. This paper proposes a new PSCOPF model that optimizes the droop coefficients of the synchronized generators. The cost savings attained with the proposed approach and its computational performance are evaluated. Different wind penetration levels and reserve policies are tested using annual simulations on the one- and three-area IEEE Reliability Test System.SCOPUS: ar.jinfo:eu-repo/semantics/publishe