Optimal Transmission Switching with Injection Uncertainties

In this paper, a robust optimization model is solved for the optimal transmission switching problem of the power networks to cater to the short-term uncertainties in the power injections of demands and renewable energy sources. The novelty of the proposed model is that the base-point generation of the conventional generators and the switching statuses of the transmission lines are considered as robust variables. These robust variables are optimized simultaneously, and the injection uncertainties are handled by using the participation factors of the conventional generators. The proposed approach uses the Benders Decomposition technique, with both feasibility and optimality cuts, to solve for the robust variables. Test results on standard IEEE systems prove that the solution obtained from the proposed model is 100% robust for all scenarios, as defined by the injection uncertainties.