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二阶非线性对简单互联电力系统稳定性的影响
引用本文:邵明珠,罗诗裕.二阶非线性对简单互联电力系统稳定性的影响[J].东莞理工学院学报,2011,18(1):51-54.
作者姓名:邵明珠  罗诗裕
作者单位:东莞理工学院电子工程学院,广东东莞,523808
摘    要:在经典力学框架内和小振幅近似下,把简单互联电力系统的动力学问题转化为具有阻尼项和受迫项的二阶非线性问题.利用外尔斯特拉斯函数分析了系统的相平面特征.系统的稳定性由相平面上的"鱼形"区面积决定,面积越大系统越稳定.用多尺度法分析了系统的一阶近似解和系统的临界特征.由于二阶非线性,系统存在ωm=2的共振线,当功率扰动频率远...

关 键 词:电力系统  非线性  外尔斯特拉斯方程  稳定性

The Effects of 2-nd Order Nonlinearity on Stability of Simple Interlinked Power System
SHAO Ming-zhu,LUO Shi-yu.The Effects of 2-nd Order Nonlinearity on Stability of Simple Interlinked Power System[J].Journal of Dongguan Institute of Technology,2011,18(1):51-54.
Authors:SHAO Ming-zhu  LUO Shi-yu
Institution:SHAO Ming-zhu LUO Shi-yu(College of Electronic Engineering,Dongguan University of Technology,Dongguan 523808,China)
Abstract:In the classical mechanics frame and the small amplitude approximation,the dynamic problem for a simple interlinked power system is transformed to the problem on the 2-nd order nonlinearity with a damping term and a force term.In the non-perturbed case,the phase plane properties are analyzed by using Weierstrass function.The system stability is determined by the area of fish-type region,the more area,the more stable of the system.The first order approximation solution and the critical properties are analyze...
Keywords:power system  nonlinearity  Weierstrass equation  stability  
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