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research-article

Nonlinear Analysis for Influence of Parametric Uncertainty on the Stability of Rotor system with Active Magnetic Bearing using Feedback Linearization

[+] Author and Article Information
Junya Kato

Non Member, Nagoya Univ. Dept. of Mechanical Systems Engineering, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
nasal89b4@gmail.com

Tsuyoshi Inoue

ASME Member, Nagoya Univ. Dept. of Mechanical Systems Engineering, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
inoue.tsuyoshi@nagoya-u.jp

Kentaro Takagi

Non Member, Nagoya Univ. Dept. of Mechanical Systems Engineering, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
takagi@nuem.nagoya-u.ac.jp

Shota Yabui

Non Member, Nagoya Univ. Dept. of Mechanical Systems Engineering, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
yabui@nuem.nagoya-u.ac.jp

1Corresponding author.

ASME doi:10.1115/1.4040128 History: Received November 30, 2017; Revised April 24, 2018

Abstract

Active magnetic bearing (AMB) is the devise to support and control the 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 has often been ignored or their parametric uncertainty from the nominal values were calibrated, however, their influence on the stability have 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 of the system 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 parameter value also reduces the remained nonlinearity significantly. The validity of theoretical results and proposed choice of parameter value are confirmed by experiment.

Copyright (c) 2018 by ASME
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