1552. Vibration control for active magnetic bearing high‑speed flywheel rotor system with modal separation and velocity estimation strategy

Liangliang Chen1, Changsheng Zhu2, Meng Wang3, Kejian Jiang4

1, 2, 3College of Electrical Engineering, Zhejiang University, Hangzhou 310027, Zhejiang Province, China

4College of Informatics and Electronics, Zhejiang Sci-Tech University,
Hangzhou 310018, Zhejiang Province, China

1Corresponding author

E-mail: 1chenlian0510@163.com, 2zhu_zhang@zju.edu.cn, 3zjuwm@ aliyun.com, 4jkjofzju@163.com

(Received 22 August 2014; received in revised form 23 October 2014; accepted 5 December 2014)

Abstract. The active magnetic bearing (AMB) high-speed flywheel rotor system is a multivariable, nonlinear, and strongly coupled system with significant gyroscopic effect, which puts a strain on its stability and control performances. It is very difficult for traditional decentralized controllers, such as proportional‑derivative controller (PD controller), to deal with such complex system. In order to improve the stability, control performances and robustness against noise of the AMB high-speed flywheel rotor system, a new control strategy was proposed based on the mathematical model of the AMB high-speed flywheel rotor system in this paper. The proposed control strategy includes two key subsystems: the modal separation subsystem, which allows direct control over the rotor rigid modes, and the velocity estimation controller, which improves the robustness against noise. Integration of modeling results into the final controller was also described. Its ability and effectiveness to control the AMB high-speed flywheel rotor system was investigated by simulations and experiments. The results show that proposed control strategy can separately regulate the stiffness and the damping of conical mode and parallel mode of the AMB high‑speed flywheel rotor system, and obviously improve the stability, dynamic behaviors and robustness against noise of the AMB high-speed flywheel rotor system in the high rotating speed region.

Keywords: active magnetic bearing (AMB), flywheel energy storage system, gyroscopic effect, modal separation, velocity estimation.

References

[1]        Schweitzer G. Maslen E. H. Magnetic Bearings, Theory, Design, and Application to Rotating Machinery. Springer-Verlag, Berlin Heidelberg, 2009.

[2]        Ahrens M., Kucera L., Larsonneur R. Performance of a magnetically suspended flywheel energy storage device. IEEE Transaction on Control Systems Technology, Vol. 4, Issue 5, 1996, p. 494‑502.

[3]        Bleuler H. Decentralized control of magnetic rotor bearing systems. PhD Thesis, Federal Institute of Technology (ETH), Zurich, Switzerland, 1984.

[4]        Kascak A. F., Brown G. V., Jansen R. H., Dever T. P. Stability limits of a PD controller for a flywheel supported on rigid rotor and magnetic bearings. Proceedings of AIAA Guidance, Navigation, and Control Conference, San Francisco, USA, 2005, p. 1144‑1155.

[5]        Sivrioglu S., Nonami K. Sliding mode control with time-varying hyper-plane for AMB systems. IEEE/ASME Transaction on Mechatronics, Vol. 3, Issue 1, 1998, p. 51‑59.

[6]        Rundell A. E., Drakunov S. V., DeCarlo R. A. A sliding mode observer and controller for stabilization of rotational motion of a vertical shaft magnetic bearing. IEEE Transactions on Control Systems Technology, Vol. 4, Issue 5, 1996, p. 598‑608.

[7]        Nonami K., Ito T. -synthesis of flexible rotor-magnetic bearing systems. IEEE Transactions on Control Systems Technology, Vol. 4, Issue 5, 1996, p. 503‑512.

[8]        Lanzon A., Tsiotras P. A combined application of H loop shaping and μ-synthesis to control high‑speed flywheels. IEEE Transactions on Control Systems Technology, Vol. 13, Issue 5, 2005, p. 766‑777.

[9]        Sivrioglu S., Nonami K. LMI approach to gain scheduled H control beyond PID control for gyroscopic rotor magnetic bearing system. Proceedings of the 35th IEEE Conference on Decision and Control, Kobe, Japan, 1996, p. 3694-3699.

[10]     Duan G., Howe D. Robust magnetic bearing control via eigenstructure assignment dynamical compensation. IEEE Transactions on Control Systems Technology, Vol. 11, Issue 2, 2003, p. 204‑215.

[11]     Zhang K., Zhao L., Zhao H. B. LQR method research on control of the flywheel system suspended by AMBs. Journal of Mechanical Engineering, Vol. 40, Issue 2, 2004, p. 127‑131.

[12]     Lum K. Y., Coppola V. T., Bernstein D. S. Adaptive autocentering control for an active magnetic bearing supporting a rotor with unknown mass imbalance. IEEE Transactions on Control Systems Technology, Vol. 4, Issue 5, 1996, p. 587‑597.

[13]     Zhu K. Y., Xiao Y., Rajendra A. U. Optimal control of the magnetic bearings for a flywheel energy storage system. Mechatronics, Vol. 19, Issue 8, 2009, p. 1221‑1235.

[14]     Schuhmann T., Hofmann W., Werner R. Improving operational performance of active magnetic bearings using kalman filter and state feedback control. IEEE Transactions on Industrial Electronics, Vol. 59, Issue 2, 2012, p. 821‑829.

[15]     Lindau J. D., Knospe C. R. Feedback linearization of an active magnetic bearing with voltage control. IEEE Transactions on Control Systems Technology, Vol. 10, Issue 1, 2002, p. 21‑31.

[16]     Chen K. Y., Tung P. C., Fan Y. H. Switching-type self-tuning fuzzy PID control of an active magnetic bearing system. Applied Mechanics and Materials, Vol. 284, 2013, p. 2330‑2336.

[17]     Lei S. L., Palazzolo A., Na U., Kascak A. Non-linear fuzzy logic control for forced large motions of spinning shafts. Journal of Sound and Vibration, Vol. 235, Issue 3, 2000, p. 435‑449.

[18]     Okada Y., Nagai B., Shimane T. Cross-feedback stabilization of the digitally controlled magnetic bearing. Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 114, Issue 1, 1992, p. 54‑59.

[19]     Shimane T., Nagai B., Okada Y. High-speed gyroscopic instability and cross-feedback compensation of a digitally controlled magnetic bearing. Transactions of the Japan Society of Mechanical Engineers, Part C, Vol. 56, Issue 528, 1990, p. 2079‑2084, (in Japanese).

[20]     Brown G. V., Kascak A., Jansen R. H., Dever T. P., Duffy K. P. Stability gyroscopic modes in magnetic bearing supported flywheels by using cross-axis proportional gains. Proceedings of AIAA Guidance, Navigation and Controls Conference, San Francisco, USA, 2005, p. 1132‑1143.

[21]     Horowitz I. M. Synthesis of Feedback Systems. Academic Press, New York, 1963.

[22]     Zhong Z. X., Zhu C. S. Vibration of flexible rotor systems with two-degree-of-freedom PID controller of active magnetic bearings. Journal of Vibroengineering, Vol. 15, Issue 3, 2013, p. 1302‑1310.

[23]     Dever T. P., Brown G. V., Duffy K. P., Jansen R. H. Modeling and development of a magnetic bearing controller for a high speed flywheel system. Proceedings of 2nd International Energy Conversion Engineering Conference, Providence, RI, United states, 2004, p. 888‑899.

[24]     Dimond T., Allaire P., Mushi S., Lin Z., Yoon S. Y. Modal tilt/translate control and stability of a rigid rotor with gyroscopics on active magnetic bearings. International Journal of Rotating Machinery, Vol. 2012, Issue 2012, 2012, p. 1‑10.

Cite this article

Chen Liangliang, Zhu Changsheng, Wang Meng, Jiang Kejian Vibration control for active magnetic bearing high‑speed flywheel rotor system with modal separation and velocity estimation strategy. Journal of Vibroengineering, Vol. 17, Issue 2, 2015, p. 757‑775.

 

JVE International Ltd. Journal of Vibroengineering. Mar 2015, Volume 17, Issue 2. ISSN 1392-8716