# Investigating the Impacts of Stochastic Load Fluctuation on Dynamic Voltage Stability Margin Using Bifurcation Theory

## TL;DR

This paper explores how stochastic load fluctuations affect voltage stability margins in power systems, using bifurcation theory and simulations to reveal the impact of fluctuation intensity and load change speed.

## Contribution

It introduces a novel analysis of the influence of load fluctuation dynamics on voltage stability margin using stochastic differential equations and bifurcation analysis.

## Key findings

- Larger fluctuation intensity reduces voltage stability margin.
- Slower load change speeds decrease the stability margin.
- First to analyze the time evolution effect on voltage stability margin.

## Abstract

This paper studies the impacts of stochastic load fluctuations, namely the fluctuation intensity and the changing speed of load power, on the size of the voltage stability margin. To this end, Stochastic Differential-Algebraic Equations (SDAEs) are used to model the stochastic load variation; bifurcation analysis is carried out to explain the influence of stochasticity. Numerical study and Monte Carlo simulations on the IEEE 14-bus system demonstrate that a larger fluctuation intensity or a slower load power changing speed may lead to a smaller voltage stability margin. Particularly, this work may represent the first attempt to reveal the influence of the time evolution property of the driving parameters on the voltage stability margin in power systems.