Study on stability and rotating speed stable region of magnetically suspended rigid rotors using extended Nyquist criterion and gain-stable region theory

Wei, J., Liu, K. and Radice, G. (2017) Study on stability and rotating speed stable region of magnetically suspended rigid rotors using extended Nyquist criterion and gain-stable region theory. ISA Transactions, 66, pp. 154-163. (doi: 10.1016/j.isatra.2016.10.001)

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Abstract

This paper presents a novel and simple method to analyze the absolute stability and the rotor speed stable region of a magnetically suspended rotor (MSR). At the beginning of the paper, a complex variable is introduced to describe the movement of the MSR and a complex coefficient transfer function is obtained accordingly. The equivalent stability relationship between this new variable and the two traditional deflection angles is also demonstrated in a simple way. The detailed characteristics of the open-loop MSR system with time delay are studied carefully based on the characteristics of its Nyquist curve. A sufficient and necessary condition of absolute stability is then deduced by using an extended complex Nyquist stability criterion for MSRs. Based on the relationship between the rotor speed and gain-stable region proposed in this paper, the rotor speed stable region can be solved simply and directly. The usefulness and effectiveness of the proposed approaches are validated by examples and simulations.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Radice, Dr Gianmarco
Authors: Wei, J., Liu, K., and Radice, G.
College/School:College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
Journal Name:ISA Transactions
Publisher:Elsevier
ISSN:0019-0578
ISSN (Online):1879-2022
Published Online:13 October 2016
Copyright Holders:Copyright © 2016 ISA
First Published:First published in ISA Transactions 66:154-166
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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