This paper studies the impacts of stochastic load fluctuations, namely the fluctuation intensity and the load power variation speed, on power system dynamic voltage stability. Additionally, the trade-off relationship between the two parameters is revealed, which provides important insights regarding the potential of using energy storage to maintain voltage stability under high uncertainty. 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 variation speed may lead to a smaller voltage stability margin. To the best of authors’ knowledge, this work uncovers the impacts of the time evolution property of the driving parameters, i.e., the load power variation speed and its trade off effect with the fluctuation intensity on the size of the dynamic voltage stability margin.

中文翻译：

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基于分岔理论的随机负载波动对动态电压稳定裕度影响的分析研究

本文研究了随机负荷波动，即波动强度和负荷功率变化速度对电力系统动态电压稳定性的影响。此外，揭示了两个参数之间的权衡关系，这提供了关于在高不确定性下使用储能来维持电压稳定性的潜力的重要见解。为此，随机微分代数方程 (SDAE) 用于模拟随机载荷变化；进行分岔分析以解释随机性的影响。IEEE 14 总线系统的数值研究和蒙特卡罗模拟表明，较大的波动强度或较慢的负载功率变化速度可能导致较小的电压稳定裕度。据作者所知，