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首页> 外文期刊>Arabian Journal for Science and Engineering >Collocation Method for First Passage Time Problem of Power Systems Subject to Stochastic Excitations
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Collocation Method for First Passage Time Problem of Power Systems Subject to Stochastic Excitations

机译：随机激励下电力系统初次通过时间的配置方法

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摘要

Large penetration of renewable energies heavily threats the stable and reliable operation of power systems due to their randomness and intermittence characteristics. The first passage time problem is one of the critical issues in reliability assessment of new energy power systems. In this paper, we present and analyze the first passage time problem of power systems with stochastic excitation by collocation method. The power systems with stochastic excitations are modeled by stochastic differential equations. Then, the backward Kolmogorov equations and the generalized Pontryagin equations governing the conditional reliability function and the conditional moments of first passage time, respectively, are established based on the stochastic averaging method. The corresponding initial and boundary conditions are also provided. A numerical collocation method was proposed to solve the equations, and case studies were executed on a single-machine infinite-bus system under Gaussian excitation. Illustrations of the conditional reliability function and probability density functions for some cases are presented.
机译：由于可再生能源的随机性和间歇性，它们的大量渗透严重威胁着电力系统的稳定和可靠运行。首次通过时间问题是新能源电力系统可靠性评估中的关键问题之一。本文通过搭配方法提出并分析了具有随机激励的电力系统的首次通过时间问题。具有随机励磁的电力系统通过随机微分方程建模。然后，基于随机平均方法，分别建立了控制条件可靠性函数和首次通过时间的条件矩的反向Kolmogorov方程和广义Pontryagin方程。还提供了相应的初始条件和边界条件。提出了一种数值配置方法来求解方程，并在高斯激励下对单机无穷大系统进行了实例研究。给出了某些情况下条件可靠性函数和概率密度函数的图解。

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