Abstract: Vibration analysis plays an important role in the research of active magnetic bearing(AMB) system. However, the established system mathematical models which combine the controller with the dynamic response are relatively few. The vibration equations of radial AMB subsystems are built on the basis of the stress analysis of high speed rotor system, referring the influences of the frequency characteristics of adopted incomplete differential PID controller on the generalized magnetic bearing dynamic stiffness and rotor dynamic unbalance response. The vibration modes existing in AMB system can be obtained by solving the vibration equations. One is free vibration because of the inherent frequency, and the other is harmonic vibration due to unbalanced excitation response. And the produced beat vibration phenomenon is explained when the two kinds of vibration frequency are similar. Through adjusting the control current, the generalized dynamic stiffness of magnetic bearings and as well as the inherent frequency of the system can be changed, thus resulting in the weakening of beat vibration. Simulation and experimental results can verify the "beat vibration" phenomenon and the damping effect after changing the active control. The mechanical model can provide the simulation platform for the research of vibration compensation algorithm of AMB system.

Key words: Active magnetic bearing, Beat vibration, Dynamic unbalance response, Generalized dynamic stiffness, Linear electromagnetic force, Rotor dynamics