Distributionally robust OPF in distribution network considering CVaR-averse voltage security

The uncertain generations of renewable energy sources (RES) bring considerable challenges to voltage security in distribution networks. This paper proposes a conditional value at risk (CVaR)-averse distributionally robust chance constrained optimal power flow (CVaR-DRCC-OPF) which considers the voltage regulation from a risk perspective. The CVaR of voltage violation is proposed to act as an additional penalty term in the objective. Compared to the conventional chance-constrained OPF, the CVaR-averse penalty term quantifies the voltage violation better, especially for the uncertainty distribution function with a long tail. In addition, this paper develops a moment-based ambiguous set of the uncertainty distribution functions. By applying the duality theory, we reformulate the proposed OPF as a second-order cone programming (SOCP), which can be solved in polynomial processing time. Simulation results on the modified 118-bus distribution system show the efficiency and superiority of the proposed CVaR-DRCC-OPF in distribution network voltage regulation over other benchmark models.