小振幅近似与简单互联电力系统的动力学稳定性

在小振幅近似下，电力系统的控制方程化为了经典的Duffing方程，用Jacobian椭圆函数和第一类椭圆积分解析地给出了无扰动系统的解和振动周期，并用数值方法分析了无扰动系统的相平面特征，用Melnikov方法构造了系统的Melnikove函数，并讨论了系统的稳定性．结果表明，当系统参数满足一定条件时，系统不存在Smale马蹄变换意义下的混沌．

Small Amplitude Approximation and Dynamic Stability of Power System with Weak Machine Power

In the hypothesis of the small amplitude the controlled equation for the power system is reduced to the classical Duffing equation.The solution and the oscillation period are found analyticaly by using Jacobian ellipse function and the first kind ellipse integral for non-perturbed system,followd by the phase planar properties of the system analysed numerically.The Melnikov function is constituted by Melikov method,and system stability is also discussed.It shows that the system is stable when some condition ...