In this article, a new approach is proposed to include parametric uncertainties in the analysis of the transient stability of power systems by using intervals. Two methodologies based on the interval uncertainties were developed and implemented: (i) a robust extension of the potential energy boundary surface method combined with interval arithmetic and (ii) an optimization formulation for the transient stability problem. The interval uncertainties enable one to obtain closed‐form expressions for stability assessment of uncertain systems, allowing a faster analysis. The results show that both methodologies can be used to find an accurate estimate of the critical clearing time for uncertain power systems more quickly than using the classical Monte Carlo approach.

中文翻译：

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一种采用区间算法和优化方法的暂态稳定新方法

在本文中，提出了一种新方法，该方法将参数不确定性包括在通过使用间隔进行的电力系统暂态稳定分析中。开发和实施了两种基于区间不确定性的方法：（i）结合间隔算法的势能边界面方法的稳健扩展，以及（ii）瞬态稳定性问题的优化公式。区间不确定性使人可以获得封闭形式的表达式，用于不确定性系统的稳定性评估，从而可以进行更快的分析。结果表明，与使用经典的蒙特卡洛方法相比，这两种方法都可以更快地为不确定的电力系统找到关键清除时间的准确估计。