Dynamics and control of magnetically levitated high-speed rigid rotor to producen-waved orbits

The objective of this dissertation was to develop techniques for modeling of the dynamics of high-speed rigid rotors levitated by active magnetic bearings and to develop a unique control strategy to produce n-waved rotor orbits. The parametric equations of the desired rotor motion were derived and the optimal motions of the rotor in the magnetic bearing planes are determined. It has been assumed that the non-circular orbit of the rotor is a set of the desired operating points from a control system point of view, and these points are a programmed function of time and angular position. A control strategy has been developed that utilizes these parametric equations to produce the desired orbits. Simulation results have been used to verify the stability of the rotor at various positions within the magnetic bearing clearance and to produce various n-waved orbits. The orbits have been numerically simulated and experimentally verified using a magnetic test rig in a unique configuration. The obtained results demonstrate that the selected approach and the developed techniques have a potential to be successfully applied for technology of high speed machining spindles.