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.

References

1.
Jeon
,
S.
,
Ahn
,
H. J.
, and
Chang
,
I. B.
,
2001
, “
New Design of Cylindrical Capacitive Sensor for On-Line Precision Control of AMB Spindle
,”
IEEE Trans. Instrum. Meas.
,
50
(
3
), pp.
757
763
.10.1109/19.930450
2.
Han
,
B. C.
,
Zheng
,
S. Q.
,
Wang
,
X.
, and
Yuan
,
Q.
,
2012
, “
Integral Design and Analysis of Passive Magnetic Bearing and Active Radial Magnetic Bearing for Agile Satellite Application
,”
IEEE Trans. Magn.
,
48
(
6
), pp.
1959
1966
.10.1109/TMAG.2011.2180731
3.
Tsai
,
N. C.
, and
Chiang
,
C. W.
,
2012
, “
High-Frequency Linear Compressor and Lateral Position Regulation
,”
IEEE Trans. Control Syst. Technol.
,
20
(
1
), pp.
127
138
.10.1109/TCST.2011.2105872
4.
Budig
,
P. K.
,
2010
, “
Magnetic Bearings and Some New Applications
,”
XIX International Conference on Electrical Machines (ICEM)
,
Rome
, pp.
1
7
.
5.
Bailey
,
C.
,
Saban
,
D.
, and
Pinto
,
P.
,
2009
, “
Design of High Speed, Direct Connected Permanent-Magnet Motors and Generators for the Petrochemical Industry
,”
IEEE Trans. Ind. Appl.
,
45
(
3
), pp.
1159
1165
.10.1109/TIA.2009.2018964
6.
Eaton
,
D.
,
Rama
,
J.
, and
Singhal
,
S.
,
2010
, “
Magnetic Bearing Application and Economics
,”
IEEE PCIC Conference Record
, pp.
156
173
.
7.
Fang
,
J. C.
,
Sun
,
J. J.
,
Xu
,
Y. L.
, and
Wang
,
X.
,
2009
, “
A New Structure of Permanent Magnet Biased Axial Hybrid Magnetic Bearing
,”
IEEE Trans. Magn.
,
45
(
12
), pp.
5319
5325
.10.1109/TMAG.2009.2024687
8.
Fang
,
J. C.
,
Sun
,
J. J.
,
Liu
,
H.
, and
Tang
,
J. Q.
,
2010
, “
A Novel 3-DOF Axial Hybrid Magnetic Bearing
,”
IEEE Trans. Magn.
,
46
(
12
), pp.
4034
4045
.10.1109/TMAG.2010.2074206
9.
Sun
,
J. J.
, and
Fang
,
J. C.
,
2011
, “
A Novel Structure of Permanent-Magnet-Biased Radial Hybrid Magnetic Bearing
,”
J. Magn. Magn. Mater.
,
323
(
2
), pp.
202
208
.10.1016/j.jmmm.2010.08.053
10.
Ravaud
,
R.
,
Lemarquand
,
G.
, and
Lemarquand
,
V.
,
2009
, “
Force and Stiffness of Passive Magnetic Bearings Using Permanent Magnets. Part 2: Radial Magnetization
,”
IEEE Trans. Magn.
,
45
(
9
), pp.
3334
3342
.10.1109/TMAG.2009.2025315
11.
Sotelo
,
G. G.
,
Andrade
,
R.
, and
Ferreira
,
A. C.
,
2007
, “
Magnetic Bearing Sets for a Flywheel System
,”
IEEE Trans. Appl. Supercond.
,
17
(
2
), pp.
2150
2153
.10.1109/TASC.2007.899268
12.
Imoberdorf
,
P.
,
Zwyssig
,
C.
,
Round
,
S. D.
, and
Kolar
,
J. W.
,
2007
, “
Combined Radial-Axial Magnetic Bearing for a 1 kW, 500,000 rpm Permanent Magnet Machine
,”
22nd Annual IEEE Applied Power Electronics Conference
, pp.
1434
1440
.
13.
Sun
,
J. J.
,
Ren
,
Y.
, and
Fang
,
J. C.
,
2011
, “
Passive Axial Magnetic Bearing With Halbach Magnetized Array in Magnetically Suspended Control Moment Gyro Application
,”
J. Magn. Magn. Mater.
,
323
(
15
), pp.
2103
2107
.10.1016/j.jmmm.2011.02.020
14.
Fang
,
J. C.
,
Zheng
,
S. Q.
, and
Han
,
B. C.
,
2012
, “
Attitude Sensing and Dynamic Decoupling Based on Active Magnetic Bearing of MSCMG
,”
IEEE Trans. Instrum. Meas.
,
61
, pp.
338
348
.10.1109/TIM.2011.2164289
15.
Nikolajsen
,
J. L.
,
1988
, “
Experimental Investigation of an Eddy-Current Bearing
,”
First International Symposium on Magnetic Bearings
,
Switzerland
, pp.
111
118
.
16.
Moses
,
H. J.
,
Pickney
,
F. D.
, and
Weise
,
D. A.
,
1988
, “
Magnetic Bearing Turbomachinery Operating Experience
,”
First International Symposium on Magnetic Bearings
,
Switzerland
, pp.
245
258
.
17.
Sortore
,
C. K.
,
Allaire
,
P. E.
,
Maslen
,
E. H.
,
Humphris
,
R. R.
, and
Studer
,
P. A.
,
1990
, “
Permanent Magnet Biased Magnetic Bearings-Design, Construction and Testing
,”
Second International Symposium on Magnetic Bearings
,
Japan
, pp.
175
182
.
18.
Zhang
,
C.
,
Nguyen
,
T. D.
,
Tseng
,
K. J.
, and
Zhang
,
S.
,
2010
, “
Stiffness Analysis and Levitation Force Control of the Active Magnetic Bearing for a Partially-Self-Bearing Flywheel System
,”
IEEE International Conference on Sustainable Energy Technologies (ICSET)
, pp.
1
6
.
19.
Wu
,
G. Q.
,
Zhou
,
J. L.
, and
Wang
,
X. P.
,
2010
, “
Study of Current and Displacement Stiffness Characteristics of AMB System
,”
2010 International Conference on Electrical and Control Engineering
, pp.
4258
4261
.
20.
Yang
,
J. Y.
,
Zhang
,
W. Y.
, and
Ge
,
Y. J.
,
2010
, “
A Precise Measurement of Windings Axes and Stiffness Coefficient for Power Magnetic Bearing
,”
2010 International Conference on Electrical and Control Engineering
, pp.
4258
4261
.
21.
Sun
,
J. J.
,
Chen
,
D.
, and
Ren
,
Y.
,
2013
, “
Stiffness Measurement Method of Repulsive Passive Magnetic Bearing in SGMSCMG
,”
IEEE Trans. Instrum. Meas.
,
62
(
11
), pp.
2960
2965
.10.1109/TIM.2013.2256818
You do not currently have access to this content.