Active magnetic bearing (AMB) is the device to support and control rotating shaft. Feedback linearization is one of the methods to compensate the system nonlinearity, and it is often used in the control of AMB. Some parameters in the electromagnetic force model have often been ignored or their parametric uncertainty from the nominal values has been calibrated; however, their influence on the stability has not been investigated. In this paper, the influence of the parametric uncertainty in the electromagnetic force model on the stability of AMB is investigated. The equilibrium positions and their stability are investigated and clarified analytically. Furthermore, the choice of the parameter value for improving the stability of AMB with feedback linearization is proposed, and its effectiveness is explained analytically. It is shown that the proposed choice of the parameter value also reduces the remained nonlinearity significantly. The validity of theoretical results and proposed choice of the parameter value are confirmed by experiment.
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July 2018
Research-Article
Nonlinear Analysis for Influence of Parametric Uncertainty on the Stability of Rotor System With Active Magnetic Bearing Using Feedback Linearization
Junya Kato,
Junya Kato
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho,
Chikusa-ku 464-8603, Nagoya, Japan
Nagoya University,
Furo-cho,
Chikusa-ku 464-8603, Nagoya, Japan
Search for other works by this author on:
Tsuyoshi Inoue,
Tsuyoshi Inoue
Mem. ASME
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: inoue.tsuyoshi@nagoya-u.jp
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: inoue.tsuyoshi@nagoya-u.jp
Search for other works by this author on:
Kentaro Takagi,
Kentaro Takagi
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho, Chikusa-ku
Nagoya 464-8603, Japan
Nagoya University,
Furo-cho, Chikusa-ku
Nagoya 464-8603, Japan
Search for other works by this author on:
Shota Yabui
Shota Yabui
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho, Chikusa-ku
Nagoya 464-8603, Japan
Nagoya University,
Furo-cho, Chikusa-ku
Nagoya 464-8603, Japan
Search for other works by this author on:
Junya Kato
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho,
Chikusa-ku 464-8603, Nagoya, Japan
Nagoya University,
Furo-cho,
Chikusa-ku 464-8603, Nagoya, Japan
Tsuyoshi Inoue
Mem. ASME
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: inoue.tsuyoshi@nagoya-u.jp
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: inoue.tsuyoshi@nagoya-u.jp
Kentaro Takagi
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho, Chikusa-ku
Nagoya 464-8603, Japan
Nagoya University,
Furo-cho, Chikusa-ku
Nagoya 464-8603, Japan
Shota Yabui
Department of Mechanical Systems Engineering,
Nagoya University,
Furo-cho, Chikusa-ku
Nagoya 464-8603, Japan
Nagoya University,
Furo-cho, Chikusa-ku
Nagoya 464-8603, Japan
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 30, 2017; final manuscript received April 24, 2018; published online May 28, 2018. Assoc. Editor: Firdaus Udwadia.
J. Comput. Nonlinear Dynam. Jul 2018, 13(7): 071004 (9 pages)
Published Online: May 28, 2018
Article history
Received:
November 30, 2017
Revised:
April 24, 2018
Citation
Kato, J., Inoue, T., Takagi, K., and Yabui, S. (May 28, 2018). "Nonlinear Analysis for Influence of Parametric Uncertainty on the Stability of Rotor System With Active Magnetic Bearing Using Feedback Linearization." ASME. J. Comput. Nonlinear Dynam. July 2018; 13(7): 071004. https://doi.org/10.1115/1.4040128
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