EMS磁浮列车车/轨耦合系统的分岔现象研究

THE BIFURCATION ANALYSIS OF THE EMS MAGLEV VEHICLE-COUPLED-GUIDEWAY SYSTEM

通过分析EMS磁浮列车系统的Hopf分岔,研究车轨耦合系统对应的轨道固有频率稳定范围.采用串级控制悬浮控制器,给出控制器参数与特征频率的关系,在控制器稳定的前提下利用数值算法计算在系统参数一定、轨道固有频率变化条件下所对应的Hopf分岔点,结合仿真方法得出轨道固有频率的稳定范围,定性说明了系统载荷、控制器频率、二次系刚度与轨道固有频率之间的变化关系.

The stable range of the guideway natural vibration frequencies is studied by analyzing the Hopf bifurcation of the vehicle-coupled-guideway maglev system. The maglev system is controlled by the cascade controller and the connection of the controller's parameters and the frequencies is given. Based on the stable controller, the Hopf bifurcation point corresponding changeless system parameters and variable guideway natural frequencies is calculated by the numerical arithmetic. The stable range of the guideway natural frequencies is obtained using both numerical arithmetic and simulation method. The qualitative restriction between the system mass, controller frequencies, stiffness of the second subsystem and the guideway natural frequencies is explained.