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Technical Brief

Stiffness Measurement of Permanent Magnet Biased Radial Magnetic Bearing in MSFW

[+] Author and Article Information
Sun Jinji

Key Laboratory of Fundamental Science
for National Defense,
Novel Inertial Instrument and Navigation
System Technology,
School of Instrument Science and
Opto-Electronics Engineering,
BeiHang University,
Beijing 100191, China
e-mail: sunjinji2001@163.com

Bai Guochang

School of Mechanical Engineering,
Zhengzhou University,
Zhengzhou 450001, China
e-mail: bai_guochang@126.com

Yang Lei

Space Precision Bearing Application Laboratory,
Beijing Institute of Control Engineering,
Beijing 100854, China
e-mail: leiyang1985@tom.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 8, 2014; final manuscript received April 5, 2015; published online July 1, 2015. Assoc. Editor: Dejan Milutinovic.

J. Dyn. Sys., Meas., Control 137(9), 094505 (Sep 01, 2015) (5 pages) Paper No: DS-14-1199; doi: 10.1115/1.4030721 History: Received May 08, 2014; Revised April 05, 2015; Online July 01, 2015

To measure current stiffness and displacement stiffness of permanent magnet biased radial magnetic bearing, a new stiffness measurement method is proposed for magnetically suspended flywheel (MSFW). The detailed stiffness measurement method is proposed in this paper. At first, the suspension force and stiffness characteristics of the permanent magnet biased radial magnetic bearing are studied using magnetic circuit method and finite element method (FEM). Second, the detailed stiffness measurement method of permanent magnet biased radial magnetic bearing is proposed. It has two procedures, one is the determination of the magnetic center in radial magnetic bearing when the gravity of rotor is in the +x(+y) direction and −x(−y) direction, respectively, then the current stiffness can be obtained, and the other is the calculation of the displacement stiffness according to the relationship between rotor displacement and current. A prototyped MSFW with angular moments of 50 Nms is manufactured, and the proposed stiffness measurement method of permanent magnet biased radial magnetic bearing is verified by prototyped experiments.

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Figures

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Fig. 2

50 Nms MSFW prototype

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Fig. 3

Permanent magnet biased radial magnetic bearing with outer rotor: (a) axial sectional view and (b) end view

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Fig. 4

Equivalent magnetic circuits of permanent magnet biased radial magnetic bearing: (a) equivalent magnetic circuit of the bias flux and (b) equivalent magnetic circuit of the control flux under a stator pole

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Fig. 5

Relationships among radial force, displacement, and coil current: (a) Radial force versus radial displacement and (b) radial displacement versus coil current characteristics

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Fig. 6

Measurement test system

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Fig. 7

Prototyped permanent magnet biased radial magnetic bearing

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