NDLI: An Evaluation of Stability Indices Using Sensitivity Functions for Active Magnetic Bearing Supported High-Speed Rotor

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Takahashi, Naohiko Fujiwara, Hiroyuki Ito, Makoto Fukushima, Yasuo Matsushita, Osami
Copyright Year	2005
Abstract	Active magnetic bearing (AMB) systems are intrinsically unstable but stabilized by feedback control. In order to evaluate objectively the stability, a standard criterion is necessary. One of the indices for stability evaluation is a maximum gain of sensitivity functions. Radial positions of the rotor are regulated by four-axis control, that is, a radial system needs to be treated as a multi-input multi-output (MIMO) system. One of general criteria for evaluating the stability of a MIMO system is a maximum singular value of a sensitivity function matrix, which needs 16 matrix elements for calculation. It is, however, easier to regard each control axis as an independent single-input single-output (SISO) system and it can be evaluated by just four sensitivity functions. ISO/DIS 14839-3 will employ this concept. This paper discusses the stability evaluation as a SISO system with parallel/conical mode separation or side-by-side treatment, and a MIMO system using maximum singular value, also these differences. In addition to this, a conversion from the usual x,y-axis form to forward/backward form is proposed and the stability is evaluated for the system in the converted form. For experimental evaluation, a test rig diverted from a high-speed turbo compressor rated at 180kW was used. The transfer functions were measured by exciting the system with swept signals at rotor standstill and at 30,000r/min rotational speed. For stability limit evaluation, the control loop gain was increased or a phase lag was inserted in the control loop to lead the system to be nearby unstable intentionally. Using these test results, the differences among the evaluation manners are discussed.
Sponsorship	Design Engineering Division and Computers and Information in Engineering Division
Starting Page	1153
Ending Page	1162
Page Count	10
File Format	PDF
ISBN	0791847381
DOI	10.1115/DETC2005-84836
e-ISBN	0791837661
Volume Number	Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C
Conference Proceedings	ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2005-09-24
Publisher Place	Long Beach, California, USA
Access Restriction	Subscribed
Subject Keyword	Stability Feedback Rotors Transfer functions Compressors Turbochargers Magnetic bearings Signals Separation (technology)
Content Type	Text
Resource Type	Article

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