Modelling of flexural rotor vibration and time-periodic system dynamics in a two-pole cage induction machine equipped with a self-bearing force actuator

In this paper, linear time–periodic system dynamics in rotor vibration of electrical machines is examined. We consider a two-pole cage induction machine equipped with a built–in force actuator for active generation of lateral force on the rotor.The main contribution of the work is to identify and model the sources of time-periodic system dynamics in the coupled electromechanical actuator-rotor system. Especially, the effect of higher spatial harmonics of the magnetic field on the generated force is considered. In this work, a linear time–periodic model for the actuator-rotor system is derived. The parameters of the analytical model are estimated by using time-stepping finite-element analysis of the machine.