区域分析理论在临界阻尼电阻计算中的应用

计算物理 ›› 1990, Vol. 7 ›› Issue (1): 69-78.

区域分析理论在临界阻尼电阻计算中的应用

赖定文¹, 王建², 王政贤²

1. 河海大学, 南京 210024;
2. 东南大学, 南京 210024

收稿日期:1989-03-08 出版日期:1990-03-25 发布日期:1990-03-25

THE APPLICATIONS OF REGIONAL ANALYTICAL THEORY TO THE CALCULATION FOR CRITICAL VALUE OF DAMPING RESISTOR

Lai Dingwen¹, Wang Jian², Wang Zhengxian²

1. Hohai University;
2. Southeast University, Nanjing

Received:1989-03-08 Online:1990-03-25 Published:1990-03-25

摘要/Abstract

摘要： 国内外广泛采用三次曲线逼近铁芯电感元件磁化曲线的结果,电力系统中各种振荡回路的周期性运行状态的描述,导致一类三次微分系统周期解的研究。将区域分析理论用于这类微分系统的近似分析,又使其中的二次代数极限环与临界阻尼电阻的计算公式化、程序化。与传统的算法相比,本文提供的算法更易被工程技术人员所接受。

关键词: 区域分析, 极限环, 临界阻尼电阻, 消除分频谐振过电压

Abstract: The approximate analysis of differential systems by applying the theory of regional analysis, is described. It supplies a formularization and calculating programme for algebraic limit cycle of second degree in a type of differential systems of third degree, and also for critical value of damping resistance in power systems. This new method simplifies the traditional method, hence it is acceptable and applicable for engineers. Finally, a few of examples are given based on this method.

Key words: regional analysis, limit cycle, critical value of damping resistance, removing the overvoltage of dividing frequency resonance

赖定文, 王建, 王政贤. 区域分析理论在临界阻尼电阻计算中的应用[J]. 计算物理, 1990, 7(1): 69-78.

Lai Dingwen, Wang Jian, Wang Zhengxian. THE APPLICATIONS OF REGIONAL ANALYTICAL THEORY TO THE CALCULATION FOR CRITICAL VALUE OF DAMPING RESISTOR[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 7(1): 69-78.

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