Long-Term Stability Analysis of Power Systems with Wind Power Based on Stochastic Differential Equations: Model Development and Foundations

TL;DR

This paper develops a stochastic differential equation-based model for analyzing the long-term stability of power systems incorporating wind power, offering a fast and accurate assessment method validated through numerical examples.

Contribution

It introduces a novel stochastic differential equation model and theoretical foundation for long-term stability analysis with wind power, enhancing accuracy and computational efficiency.

Findings

The proposed method accurately assesses stability in wind-integrated power systems.

Numerical examples demonstrate the method's high efficiency and reliability.

Theoretical foundations support the approximation approach used.

Abstract

In this paper, the variable wind power is incorporated into the dynamic model for long-term stability analysis. A theory-based method is proposed for power systems with wind power to conduct long-term stability analysis, which is able to provide accurate stability assessments with fast simulation speed. Particularly, the theoretical foundation for the proposed approximation approach is presented. The accuracy and efficiency of the method are illustrated by several numerical examples.