Qiang LIU, Ming-shi ZHAO, Bang-cheng HAN, et al. Energy optimization and experimental for a permanent magnet-biased redial magnetic bearing[J]. Optics and precision engineering, 2019, 27(11): 2420-2428.
DOI:
Qiang LIU, Ming-shi ZHAO, Bang-cheng HAN, et al. Energy optimization and experimental for a permanent magnet-biased redial magnetic bearing[J]. Optics and precision engineering, 2019, 27(11): 2420-2428. DOI: 10.3788/OPE.20192711.2420.
Energy optimization and experimental for a permanent magnet-biased redial magnetic bearing
To address the requirement for low power of a magnetically suspended flywheel
the energy optimization of permanent magnet-biased radial magnetic bearing is studied. The magnetic circuit and working principles are introduced
based on the current stiffness and displacement stiffness mathematical models of a magnetic bearing
and the energy optimization factor
σ
of a magnetic bearing is obtained. The objective function of the power consumption of the magnetic bearing is then established
followed by optimization of the consumption. Subsequently
a mathematical expression for optimal power consumption and the value of
σ
are determined. The power consumption of the magnetic bearing is simulated and verified using the finite element method. The obtained results are tallied with the results of the theoretical analysis. Finally
based on the results of the optimization
a magnetic bearing is developed and power consumption is tested to improve the existing 15-Nms magnetically suspended flywheel. The results show that when the amplitude is 10 μm
the value of optimal power consumption for each winding is 0.85 W
with a maximum error of 7% compared with the theoretical optimal power consumption of 0.79 W. The designed efficiency of a magnetic bearing consuming low power is improved using the energy optimization method
which is important for the power optimization of flywheel systems.
WANG H, WU J F, LI Y, et al .. Thermal design of attitude control flywheel system for small satellites[J]. Opti. Precision Eng ., 2015, 23(8): 2265-2272.(in Chinese)
LIU Q, ZHAO Y, DAI F Y, et al .. Novel internal Lorentz magnetic bearing for magnetic bearing gyrowheel[J]. Opti. Precision Eng ., 2018, 26(2): 399-409.(in Chinese)
LIU Q, WANG K, REN Y, et al .. Novel repeatable launch locking/unlocking device for magnetically suspended momentum flywheel[J]. Mechatronics, 2018, 54: 16-25.
HAN B CH, HE Z, ZHAI L X, et al .. Loss calculation and thermal-structural coupling analysis of a single gimbal magnetically suspended control moment gyroscope[J]. Opt. Precision Eng ., 2018, 26(10): 2463-2474. (in Chinese)
JIA Y, LI D M, ZHAO Y L, et al .. Static and dynamic load capacity of piezoelectric actuated ultrasonic levitation precision bearing[J]. Opt. Precision Eng., 2018, 27(5): 1103-1109. (in Chinese)
WU L T, WANG D, SU Z Z, et al .. Leakage magnetic field and precise magnetic circuit model of the permanent magnetic biased radial magnetic bearing[J]. Transactions of China Electrotechnical Society, 2017, 32(11): 118-125.(in Chinese)
MATSUZAKI T, TAKEMOTO M, OGASAWARA S, et al .. A basic study of a novel homopolar type magnetic bearing unifying four C-shaped cores for high output and low loss[J]. IEEE Transaction on Magnetics, 2015: 51(11): 8114604.
YOHJI O, HIROAKI K, et al .. MIRACBEARING: New concept of magnetic bearing[C]. Proc 9th International Symposium on magnetic bearings, Lexington, Kentucky, 2004.
FANG J C, SUN J J. New permanent magnet biased radial magnetic bearing in magnetic suspending flywheel application[J]. Joumal of Beijing University of Aeronautics and Astronautics , 2011, 32(11): 1304-1307. (in Chinese)
PARK S H, LEE C W. Decoupled control of a disk-type rotor equipped with a three-pole hybrid magnetic bearing[J]. ASME Transactions on Mechatronics, 2010, 15(5): 793-804.
JI L, XU L X, JIN C W. Research on a low power consumption six-pole heteropolar hybrid magnetic bearing[J]. IEEE Transactions on Magnetics, 2013, 49(8): 4918-4926.
ZHAO X S, DENG Z Q, WANG X L, et al .. Three magnetic pole permanent magnetism bias radial direction magnetic bearing: CN200710135183.8[P]. 2009-06-03. http://www.soopat.com/Patent/200710135183 http://www.soopat.com/Patent/200710135183 . (in Chinese)
NA U J. Fault tolerance of homopolar magnetic bearings[J]. Journal of Sound and Vibration, 2004, 272(3/4/5): 495-511.
HANG B CH, FANG J C, SUN J J, et al .. PM offset external rotor radial magnetic bearing with redundant structure: CN200710063271.1[P]. 2009-01-14. http://www.soopat.com/Patent/200710063271lx=FMSQ http://www.soopat.com/Patent/200710063271lx=FMSQ . (in Chinese)
RAJAGOPAL K R, SIVADASAN K K. Low-stiction magnetic bearing for satellite application[J]. Journal of Applied Physics, 2002, 91(10): 6994.
HOU E Y, LIU K. Investigation of axial capacity of radial hybrid magnetic bearing[J] . IEEE Transactions on Magnetics , 2012, (48): 38-46.
HOU E Y, LIU K. Tilting characteristic of a 2-axis radial hybrid magnetic bearing[J]. IEEE Transactions on Magnetics , 2013, 49(8): 4900-4910.
WANG H Z, LIU K, AO P. Magnetic field and specific axial load capacity of hybrid magnetic bearing[J]. IEEE Transactions on Magnetics, 2013, 49(8): 4911-4917.
XU Y L, XIN F. Model establishment and parameter calculation of permanent magnet-biased hybrid magnetic bearing with magnet in rotor[C]. 2007 2nd IEEE Conference on Industrial Electronics and Applications, May 23-25, 2007. Harbin, China. New York, USA: IEEE, 2007.
XU Y L, DUN Y Q, WANG X H, et al .. Analysis of hybrid magnetic bearing with a permanent magnet in the rotor by FEM[J]. IEEE Transactions on Magnetics, 2006, 42(4): 1363-1366.
LIU Q, FANG J CH, HAN B C. Detection of locking protection effect for magnetic bearing flywheel[J]. Opti. Precision Eng ., 2015, 23(1): 157-164.(in Chinese)
FANG J C, XU X B, XIE J J. Active vibration control of rotor imbalance in active magnetic bearing systems[J]. Journal of Vibration and Control , 2015, 21(4): 684-700.