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Research Papers

Orbit Response Recognition During Touchdowns by Instantaneous Frequency in Active Magnetic Bearings

[+] Author and Article Information
Mindong Lyu

State Key Laboratory of Tribology,
Tsinghua University,
Beijing 100084, China
e-mail: lmd5936@sina.com

Tao Liu

State Key Laboratory of Tribology,
Tsinghua University,
Beijing 100084, China
e-mail: liutao0418@126.com

Zixi Wang

State Key Laboratory of Tribology,
Tsinghua University,
Beijing 100084, China
e-mail: zxwang@mail.tsinghua.edu.cn

Shaoze Yan

Professor
State Key Laboratory of Tribology,
Tsinghua University,
Beijing 100084, China
e-mail: yansz@mail.tsinghua.edu.cn

Xiaohong Jia

State Key Laboratory of Tribology,
Tsinghua University,
Beijing 100084, China
e-mail: jiaxh@mail.tsinghua.edu.cn

Yuming Wang

Professor
State Key Laboratory of Tribology,
Tsinghua University,
Beijing 100084, China
e-mail: yumingwang@tsinghua.edu.cn

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 30, 2016; final manuscript received August 24, 2017; published online October 4, 2017. Assoc. Editor: Patrick S. Keogh.

J. Vib. Acoust 140(2), 021002 (Oct 04, 2017) (11 pages) Paper No: VIB-16-1567; doi: 10.1115/1.4037850 History: Received November 30, 2016; Revised August 24, 2017

During touchdowns of active magnetic bearings (AMB), the violent collision between rotors and touchdown bearings (TDB) can cause damages to both parts. Orbit response recognition provides a way for the AMB controller to automatically switch the control algorithm to actively suppress the rotor–TDB vibration and promptly relevitate the rotor during touchdowns. A novel method based on Hilbert transform (HT) is proposed to recognize the orbit responses (pendulum vibration, combined rub and bouncing, and full rub) in touchdowns. In this method, the rotor suspension status is monitored by the AMB controller in real-time. When touchdown is detected, the rotor displacement signal during the sampling period is intercepted, and the instantaneous frequency (IF) is calculated by HT. Then, the local variance of IF during the sampling period is calculated, and it is compared with the threshold value. Combined rub and bouncing can be identified for it has the largest local variance. Finally, the mean value of IF during the sampling period is calculated and is compared with the other threshold value. Pendulum vibration can be identified for it has a lower and fixed mean value, while full rub has a larger value. The principle of the recognition method is demonstrated by the simulated results of a thermo-dynamic model. The results reveal that the method is feasible in recognizing the orbit responses and can be implemented in the AMB controller to help switch the control algorithms automatically in case of touchdowns.

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Figures

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Fig. 1

Flowchart of the orbit response recognition method

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Fig. 3

Cross-sectioned TDB with thermal nodes

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Fig. 4

Heat transfer network of the TDB

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Fig. 5

Flowchart of numerical computation of the thermo-dynamic model

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Fig. 6

The simulated orbit responses during touchdowns

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Fig. 7

The radial displacement of the rotor (a), rotor displacement in X-direction (b), rotor–TDB contact force (c), and IF of rotor motion in X-direction (d) of case No. 4

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Fig. 8

The radial displacement of the rotor (a), rotor displacement in X-direction (b), rotor–TDB contact force (c), and IF of rotor motion in X-direction (d) of case No. 6

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Fig. 9

The local variance (a) and mean value (b) of IF during each sampling period in case No. 4

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Fig. 10

The local variance (a) and mean value (b) of IF during each sampling period in case No. 6

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Fig. 11

The local variance of IF of the rotor motion

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Fig. 12

The mean value of IF of the rotor motion

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