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基于SDE的含风电电力系统随机小干扰稳定分析

DOI: 10.13334/j.0258-8013.pcsee.2014.10.008, PP. 1575-1582

Keywords: 风电波动,小干扰稳定,随机微分方程,距稳定性

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Abstract:

针对不断增加的随机波动性风电功率对电力系统稳定性的影响,提出一种在随机空间下的电力系统小干扰稳定性建模和分析方法。选取风机机械功率作为随机激励,用随机过程对其进行建模,进而建立用随机微分方程描述的系统状态方程,克服了常微分方程无法从本质上描述随机过程的缺点。通过伊藤等距性质及伊藤公式给出了状态方程的解析解,进而给出了随机激励下系统小干扰稳定性的判别方法,并提出矩稳定性的定义用以刻画随机小扰动稳定性。双机无穷大系统算例验证了所提方法的有效性。相对于常规的概率型稳定性分析方法,该方法直接对随机状态方程进行求解,与传统概率稳定分析方法相比,能够更准确地揭示随机稳定性的本质,且在随机空间下给出的运动轨迹更利于稳定控制。

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