【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,当功率扰动频率远离这条共振线时,系统是稳定的。更多还原

【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 analyzed in terms of the multi-scalar techniques.There exists the resonance with ωm=2 in this system.The system will be stable if the power perturbed frequency is beyond the resonance frequency.更多还原