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

## TL;DR

This paper introduces a new voltage stability-constrained optimal power flow model using a second-order cone program, providing a sufficient condition for power flow solvability and demonstrating its effectiveness on standard test systems.

## Contribution

The paper presents a novel SOCP-based VSC-OPF model with a new sufficient condition for power flow solvability, enhancing scalability and computational efficiency.

## Key findings

- Effective in ensuring voltage stability constraints
- Scalable to large power systems
- Demonstrated efficiency on benchmark datasets

## Abstract

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

---
Source: https://tomesphere.com/paper/1705.10372