A Method for Voltage Stability Constrained Optimal Power Flow (VSCOPF)

Abstract

This paper presents a novel formulation for solving optimal power flow (OPF) problems with voltage stability constraints. The proposed Voltage Stability Constrained OPF (VSCOPF) formulation is based on a voltage sensitivity with respect to total load demand representing a gradient of P-V curve at an operating point. In the formulation, voltage constraints are given by a set of equality constraints which should be satisfied by the voltage sensitivity. Since the voltage stability constraints retain sparse matrix structure, the method based on the proposed OPF formulation may effectively solve large-scale problems. The feasibility and effectiveness of the proposed method are demonstrated on test problems with 2-bus, 49-bus and 2312-bus systems.