Optimal Voltage Regulation of Distribution System with Renewable Uncertainty

We propose a robust optimization-based approach for the optimal voltage regulation of a distribution system in the presence of renewable solar uncertainty. The variability in renewable solar is modeled as deterministic but norm-bounded uncertainty. The structure of the uncertainty entering in the optimization problem is exploited to propose a primal-dual gradient dynamics to solve the robust optimization problem. Simulation results are presented involving a realistic three-phase unbalanced IEEE 13-bus distribution test system to demonstrate the applications of the developed framework.