New modeling and control methods for flexible rotors with magnetic bearings toward passing through critical speeds caused by elastic modes

This paper proposes a new modeling and control method for flexible rotors using active magnetic bearings (AMB) toward passing through many critical speeds and realizing high-speed rotation. To achieve this, it is necessary to control vibration caused by some elastic modes under acting gyroscopic effect. A suggested model “Extended Reduced Order Physical Model� enables to express motion and vibration simultaneously. Then, we present a controller that combined PID and LQ controllers applied for the model.