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

Abstract

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 <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$N-1$</tex> and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$N-2$</tex> 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.