Equations of Motion of a Magnetic Bearing Wheel (MBW) with Inclined Magnetic Poles

A Magnetic Bearing Wheel (MBW) with inclined magnetic poles which is composed of six electromagnets and six displacement sensors and enables a 5-DOF magnetic bearing, has been developed. This paper deals with equations of motion of the MBW. In general, these equations are formulated in consideration of only the rotor imbalance. However, besides the imbalance, there are actually other disturbance factors in the magnetic bearing and the ordinary equations are difficult to simulate the actual disturbance properties of the MBW. In this paper, the more accurate equations of motion of the MBW are formulated in consideration of all disturbance factors of the MBW including property differences among six electromagnets. In addition, the accuracy of the proposed equations is verified by the coincidence of simulation and experimental results.