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Research Papers

Control of Magnetic Bearings for Rotor Unbalance With Plug-In Time-Varying Resonators

[+] Author and Article Information
Christopher Kang

Mechatronics and Controls Laboratory,
Department of Mechanical and
Aerospace Engineering,
University of California, Los Angeles,
Los Angeles, CA 90095
e-mail: chriskang@g.ucla.edu

Tsu-Chin Tsao

Professor
Mechatronics and Controls Laboratory,
Department of Mechanical and
Aerospace Engineering,
University of California, Los Angeles,
Los Angeles, CA 90095
e-mail: ttsao@seas.ucla.edu

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received October 20, 2014; final manuscript received August 20, 2015; published online October 12, 2015. Assoc. Editor: Ryozo Nagamune.

J. Dyn. Sys., Meas., Control 138(1), 011001 (Oct 12, 2015) (11 pages) Paper No: DS-14-1428; doi: 10.1115/1.4031575 History: Received October 20, 2014; Revised August 20, 2015

Rotor unbalance, common phenomenon of rotational systems, manifests itself as a periodic disturbance synchronized with the rotor's angular velocity. In active magnetic bearing (AMB) systems, feedback control is required to stabilize the open-loop unstable electromagnetic levitation. Further, feedback action can be added to suppress the repeatable runout but maintain closed-loop stability. In this paper, a plug-in time-varying resonator is designed by inverting cascaded notch filters. This formulation allows flexibility in designing the internal model for appropriate disturbance rejection. The plug-in structure ensures that stability can be maintained for varying rotor speeds. Experimental results of an AMB–rotor system are presented.

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Figures

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Fig. 1

Actuator–sensor placement of MBC500 turbo

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Fig. 2

X-plane coordinates (Y-plane identical)

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Fig. 3

SysID data versus model fit of decoupled open-loop systems

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Fig. 5

Addition of plug-in controller C to feedback system

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Fig. 6

Components of harmonic resonator (Cr)

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Fig. 7

FG comparison for various F designs at 200 Hz

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Fig. 8

Sensitivity function of plug-in resonators

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Fig. 9

Stability criterion (Eq. (9)) of Y-plane systems

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Fig. 10

Robust stability of plug-in resonator

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Fig. 11

Rotor displacement—plug-in resonator using ZPEC and ZMEC inversion

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Fig. 12

Rotor displacement spectrum—plug-in resonator using ZPEC and ZMEC

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Fig. 13

General rotor speed profile

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Fig. 14

Rotor displacement—three-peak plug-in resonator for varying speeds

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Fig. 15

Rotor displacement spectrum—three-peak plug-in resonator at 36≤t≤41 s

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