简单互联电力系统的跳跃现象与共振行为

Jumping Phenomenon and Resonance Behavior of Simple Interconnected Power System

在小振幅近似下,把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周期解,并用摄动法分析了扰动系统在共振线附近的运动行为;揭示了系统的跳跃现象与不稳定性。结果表明,只需适当选择系统的工作状态(比如,尽量远离共振线),系统就是稳定的。

In the small amplitude approximation, the controlled equations of power system is reduced to the classic Duffing equation ; Jacobian elliptic function and the first class of elliptic integral analytically produce the periodic solution of the perturb- less system by, and the behavior of the perturbed system in the vicinity of resonance line is analyzed by using perturbation method; and the system~ jump phenomena and instability are revealed. The results show that the system is stable under the certain conditions of the appropriately selected working status, for example, being as far as possible away from the resonance line.