Solvability Region of AC Power Flow with Volatile Renewable Generation and Operating Constraints

Abstract

Integration of large-scale renewable energy in the power system helps reduce carbon dioxide emission. However, their volatile nature also challenges the security operation of power systems, which boils down to the feasibility of network constrained power flow under a given nodal injection pattern. This paper studies the solvability of alternating-current (AC) power flow with volatile renewable generation and operating constraints. The set of all admissible injection patterns of renewable power is defined as the dispatchable region, which contains essential and visualizable information on system security. This paper characterizes the dispatchable region through several multi-objective optimization problems; the Pareto frontiers constitute the boundary of the dispatchable region. A ε-constrained method is developed to compute and visualize the dispatchable region. Case studies on the IEEE 9 bus system validate the proposed method.