Abstract

Fault tolerance is one of the effective methods to improve the reliability of magnetic bearings, and the redundant magnetic bearing provides a feasible measure for fault-tolerant control. The linearization and accuracy of the electromagnetic force (EMF) from the redundant structures is crucial for designing fault-tolerant controllers. In the magnetic bearing with a redundant structure, the current distribution matrix W is an important factor that affects the accuracy of EMF. In this paper, we improved the accuracy of the EMF model and took the eight-pole symmetrical radial magnetic bearing as the research object. The corresponding displacement compensation matrices have been calculated for the different coils that fail in the magnetic bearing while the rotor is at the non-equilibrium position. Then, we propose a fault-tolerant control strategy that includes displacement compensation. The rigid body dynamics model of the rotor, supported by magnetic bearings with redundant structures, is established. Moreover, to verify the effectiveness of the proposed control strategy, we combined the rigid body dynamics model of the rotor with a fault-tolerant control strategy, and the corresponding simulation has been carried out. In the case of disturbance force and some coils fail in magnetic bearing and compared with the fault-tolerant control that absents the displacement compensation factors. The simulations demonstrate the disturbance rejection of magnetically levitated rotor system can be enhanced. The robustness of the rotor has been improved with the fault-tolerant control strategy proposed in this paper.

Highlights

  • Magnetic bearings are considered to be superior to conventional bearings because of no physical contact, low rotation friction, high speed, and long life [1,2,3]

  • Compared with Equation (10), the electromagnetic force (EMF) model described in Equation (30) includes the displacement compensation matrices, and the EMFs model is more accurate than the EMFs model expressed in Equation (10)

  • Considering the 8th pole coil fail or 6-7-8th coils fail in magnetic bearing with redundant structures, marked red color parts as shown in Figure 7, the corresponding displacement compensation matrices K8x, K8y and K678x, K678y are obtained as Equations (38) and (39)

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Summary

Introduction

Magnetic bearings are considered to be superior to conventional bearings because of no physical contact, low rotation friction, high speed, and long life [1,2,3]. Maslen and Meeker et al [9] have proposed a generalized bias current linearization method for heteropolar magnetic-levitated bearings. They designed a current distribution matrix to obtain the current in the remaining coils. The bias current linearization method and current distribution matrix approach have provided a theoretical basis for the fault-tolerant control of redundant magnetic bearings. Cheng and Baixin Cheng [19] have calculated the displacement compensation matrices with no failed coiled in the redundant magnetic bearings and added the compensation matrices to the current distribution matrix The result showed it could improve the accuracy of the electromagnetic force. Maximum current of coils, effectively suppressing the disturbance force, and improving the robustness of the whole system

Generalized Bias Current Linearization of Magnetic Bearings
Fault-Tolerant Control Based Improved EMFs Model
Curves
Improved EMF Model
Numerical Calculation of the Improved EMF Model
Design the Fault-Tolerant Controller
Simulation ofthe
Magnetically-Levitated Rotor Dynamics
Simulation Verification
10. Control
12. Trajectories
Findings
Conclusions
Full Text
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