Dynamic Analysis of Flexible Rotor Suspended by Active Magnetic Bearings with LQR Controller
2018
期刊
Proceedings of the 2018 26th International Conference on Nuclear Engineering
Dynamic characteristics of active magnetic bearing (AMB)-
flexible rotor system are closely related to control law. To
analyze dynamic characteristics of flexible rotor suspended by
AMBs with linear quadratic regulation (LQR) controller, a
simple and effective method based on numerical calculation of
unbalanced response is proposed in this article. The model of
flexible rotor is established based upon Euler-Bernoulli beam
theory and Lagrange’s equation. Disc on the rotor and its Gyro
effect are taken into account. LQR controller based on error and
its derivative is developed to control electromagnetic force of
AMB at each degree of freedom (DOF) in real time. Under the
unbalanced exciting force, the steady-state response and
transient response in time domain of each node of flexible rotor
at 0-4000 rad/s are calculated numerically. The critical speeds of
rotor are obtained by identification method quickly and easily.
