A Uniform Control Method for Imbalance Compensation and Automation Balancing in Active Magnetic Bearing-Rotor Systems

The undesired synchronous vibration due to rotor mass imbalance is a main disturbance source in all rotating machinery including active magnetic bearing (AMB)-rotor systems. In the AMB-rotor system, imbalance compensation, which causes the AMB actuators to spin a rotor about its geometric axis, and automation balancing, which spins a rotor about its inertial axis, are two kinds of common control aim for the rotor imbalance control. In this study, the internal relation between the imbalance compensation and the automation balancing is analyzed and a uniform control method is proposed. With the identical control algorithm, the proposed control method can realize the automation balancing or the imbalance compensation, respectively, by switching the controller’s junction position in the original control loop. The proposed control method does not depend on the dynamic plant model, because its algorithm is based on the real-time identification for the Fourier coefficient of the rotor imbalance disturbance. In this paper, the process of identification algorithm is given in detail and all the possible junction forms of the controller are illustrated. By the simulations, the identification performances of the control algorithm are compared in the conditions with three variable factors, including the signal noise ratio (SNR), the imbalance phase and the identification delay time. The noise level has considerable influence on the identification precision, but the imbalance phase has little. To prolong the identification delay time will be of benefit to improve the identification precision but slow down the identification process. Experiments, which are carried out on an AMB-rigid rotor test rig, indicate that by switching the junction position of the controller in control loop, both kinds of rotor imbalance control can achieve the good effectiveness.

[1]  E. Vahedforough,et al.  Estimation and Rejection of Unknown Sinusoidal Disturbances Using a Generalized Adaptive Forced Balancing Method , 2007, 2007 American Control Conference.

[2]  Jianjun Shi,et al.  Active Balancing and Vibration Control of Rotating Machinery: A Survey , 2001 .

[3]  B. Shafai,et al.  Magnetic bearing control systems and adaptive forced balancing , 1994, IEEE Control Systems.

[4]  Dennis S. Bernstein,et al.  Adaptive force balancing of an unbalanced rotor , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[5]  C. R. Knospe Robustness of Unbalance Response Controllers , 1992 .

[6]  Abdelfatah M. Mohamed,et al.  Application of discrete-time gain-scheduled Q-parameterization controllers to magnetic bearing systems with imbalance , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[7]  Chen Yi-qing Research on Adaptive Filter Control of Imbalance Vibration , 2007 .

[8]  Zhang Dekui Unbalance vibration control methods for active magnetic bearings system , 2000 .

[9]  Xiaoyou Zhang,et al.  Compensation of rotor imbalance for precision rotation of a planar magnetic bearing rotor , 2003 .

[10]  Kenzo Nonami,et al.  Unbalance Vibration Control of Magnetic Bearing Systems Using Adaptive Algorithm with Disturbance Frequency Estimation , 1998 .

[11]  Abdelfatah M. Mohamed,et al.  Modeling and robust control of self-sensing magnetic bearings with unbalance compensation , 1997, Proceedings of the 1997 IEEE International Conference on Control Applications.

[12]  Carl R. Knospe,et al.  Robustness of Adaptive Unbalance Control of Rotors with Magnetic Bearings , 1996 .

[13]  Didier Dumur,et al.  Attenuation of Vibrations due to Unbalance of an Active Magnetic Bearings Milling Electro-Spindle , 2001 .

[14]  G. Schweitzer,et al.  Magnetic bearings : theory, design, and application to rotating machinery , 2009 .

[15]  T. Ishimatsu,et al.  Unbalance compensation of magnetic bearings , 1994, Proceedings of IECON'94 - 20th Annual Conference of IEEE Industrial Electronics.

[16]  M. N. Sahinkaya,et al.  Vibration control of multi-mode rotor-bearing systems , 1983, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[17]  G. Silva-Navarro,et al.  Finite element modeling and unbalance compensation for a two disks asymmetrical rotor system , 2008, 2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control.

[18]  Lih-Chang Lin,et al.  Fuzzy dynamic output feedback control with adaptive rotor imbalance compensation for magnetic bearing systems , 2004, IEEE Trans. Syst. Man Cybern. Part B.

[19]  Dennis S. Bernstein,et al.  Adaptive autocentering control for an active magnetic bearing supporting a rotor with unknown mass imbalance , 1996, IEEE Trans. Control. Syst. Technol..

[20]  J. Shi,et al.  The direct method for adaptive feed-forward vibration control of magnetic bearing systems , 2002, 7th International Conference on Control, Automation, Robotics and Vision, 2002. ICARCV 2002..

[21]  Raoul Herzog,et al.  Unbalance compensation using generalized notch filters in the multivariable feedback of magnetic bearings , 1996, IEEE Trans. Control. Syst. Technol..

[22]  George T. Flowers,et al.  Suppression of Persistent Rotor Vibrations Using Adaptive Techniques , 2006 .

[23]  A. Traxler,et al.  Design and Application of a Magnetic Bearing for Vibration Control and Stabilization of a Flexible Rotor , 1989 .