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基于慢同调的自适应主动解列控制(一):理论基础探究

DOI: 10.13334/j.0258-8013.pcsee.2014.25.021, PP. 4374-4384

Keywords: 解列控制,慢不变流形,稳定域边界,弱连接

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Abstract:

该文作为3篇系列文章的第1篇,首先介绍所做工作的理论工具——非线性奇异摄动系统的慢不变流形理论和电力系统稳定域边界理论;利用电力系统的经典二阶模型,推导电力系统的奇异摄动模型;以此奇异摄动模型为基础,利用慢不变流形理论阐述具有多时间尺度特性的电力系统呈现各种失稳模式的数学机理和条件;最后,给出电力系统弱连接的定义,并从理论上分析紧急情况下从系统弱连接上进行解列控制的合理性。

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