A New Voltage Stability-Constrained Optimal Power Flow Model: Sufficient Condition, SOCP Representation, and Relaxation

摘要

A simple characterization of the solvability of power flow equations is ofgreat importance in the monitoring, control, and protection of power systems.In this paper, we introduce a sufficient condition for power flow Jacobiannonsingularity. We show that this condition is second-order conic representablewhen load powers are fixed. Through the incorporation of the sufficientcondition, we propose a voltage stability-constrained optimal power flow(VSC-OPF) formulation as a second-order cone program (SOCP). An approximatemodel is introduced to improve the scalability of the formulation to largersystems. Extensive computation results on Matpower and NESTA instances confirmthe effectiveness and efficiency of the formulation.