控制两机互联电力网络系统的Melnikov混沌

Melnikov Chaos Control in Two-Machine Interconnected Power Network System

以船舶电力网络系统中最为常见的两机互联系统为研究对象,应用理论解析方法得到了该系统在周期电磁扰动下的微扰解,由Melnikov混沌判据得知该微扰解为一混沌解,因而该系统存在混沌行为。理论解析结果表明,调节系统参数或初始条件可以对系统的混沌行为加以控制;相应的数值仿真结果印证了该理论解析结论。

Taking the most common two-machine interconnected system in ship power network system as the research object, the perturbation solution of the system under periodic electromagnetic disturbance has thus been obtained based on the theoretical analytical method. According to Melnikov chaos criterion, the perturbation solution is a chaotic solution, which veri？es the existence of chaotic behavior in the system. The theoretical analysis results show that the chaotic behavior of the system can be controlled by adjusting the system parameters or initial conditions, with the corresponding numerical simulation results con？rming the conclusion of theoretical analysis.