Risk-aware Distributed Optimal Power Flow in Coordinated Transmission and Distribution System

Active distribution grids cause bi-directional power flow between transmission system(TS) and distribution system(DS), which not only affects the optimal cost but also the secure operation of the power system. This paper proposes a hybrid coordination method to solve the risk-aware distributed optimal power flow(RA-DOPF) problem in coordinated TS and DS.For operation risk evaluation, the weather-based contingencies are considered in both TS and DS. A hybrid coordination method is developed that entails analytical target cascading(ATC)and Benders decomposition(BD). Moreover, the risk-aware optimal power flow(RAOPF) in TS and risk-based security-constrained optimal power flow in DS have been performed using the BD method considering basic optimal power flow as a master problem, whereas N-1 and N-2 contingencies are considered as sub-problems. Different case studies are performed using the IEEE 30-bus system with generation reserves as a TS and a 13-bus system as a DS. The results demonstrate the efficacy of the proposed method.