中国电机工程学报
中國電機工程學報
중국전궤공정학보
ZHONGGUO DIANJI GONGCHENG XUEBAO
2014年
25期
4374-4384
,共11页
解列控制%慢不变流形%稳定域边界%弱连接
解列控製%慢不變流形%穩定域邊界%弱連接
해렬공제%만불변류형%은정역변계%약련접
islanding control%slow invariant manifold%stability region boundary%weak-connection
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。
該文作為3篇繫列文章的第1篇，首先介紹所做工作的理論工具--非線性奇異攝動繫統的慢不變流形理論和電力繫統穩定域邊界理論；利用電力繫統的經典二階模型，推導電力繫統的奇異攝動模型；以此奇異攝動模型為基礎，利用慢不變流形理論闡述具有多時間呎度特性的電力繫統呈現各種失穩模式的數學機理和條件；最後，給齣電力繫統弱連接的定義，併從理論上分析緊急情況下從繫統弱連接上進行解列控製的閤理性。
해문작위3편계렬문장적제1편，수선개소소주공작적이론공구--비선성기이섭동계통적만불변류형이론화전력계통은정역변계이론；이용전력계통적경전이계모형，추도전력계통적기이섭동모형；이차기이섭동모형위기출，이용만불변류형이론천술구유다시간척도특성적전력계통정현각충실은모식적수학궤리화조건；최후，급출전력계통약련접적정의，병종이론상분석긴급정황하종계통약련접상진행해렬공제적합이성。
ABSTRACT:As the first one of the series of three papers, this paper firstly introduced the theoretical tools-the slow invariant manifold theory of nonlinear singularly perturbed systems and power system stability region boundary theory. The perturbation model of power system was derived using the classical 2nd model. Based on the above perturbation model, the mathematical mechanism and condition of all kinds of instability patterns for power systems with multi-time scales was elaborated. Finally, the definition of power system weak-connection was given and the rationality of conducting islanding control on the weak-connections of power system under emergency circumstances was analyzed theoretically.
