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Stiffness Modeling of Toroidally-Wound BLDC Machine  

Lee, Hyun-Chu (BK21 Mechatronics Group, Chungnam National Univ.)
Yoo, Seong-Yeol (BK21 Mechatronics Group, Chungnam National Univ.)
Noh, Myoung-Gyu (Division of Mechatronics Engineering, Chungnam National Univ.)
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Abstract
Toroidally-wound brushless direct-current (BLOC) machines are compact, highly efficient, and can work across a large magnetic gap. For these reasons, they have been used in pumps, flywheel energy storage systems and left ventricular assist devices among others. The common feature of these systems is a spinning rotor supported by a set of (either mechanical or magnetic) bearings. From the view point of dynamics, it is desirable to increase the first critical speed of the rotor so that it can run at a higher operating speed. The first critical speed of the rotor is determined by the radial stiffnesses of the bearings and the rotor mass. The motor also affects the first critical speed if the rotor is displaced from the rotating center. In this paper, we analytically derive the flux density distribution in a toroidally-wound BLOC machine and also derive the negative stiffness of the motor, based on the assumption that the rotor displacement perturbs the flux density distribution linearly. The estimated negative stiffness is validated by finite element analyses.
Keywords
Brushless DC Machines; Magnetic Fields;
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1 Langley, L. W. and Fisher, R. L., "Toroidally wound brushless DC motor," U.S. Patent, No. 4547713, 1985
2 Antaki, J., Paden, B., Banda, S. and Piovoso, M., "ward winning coAntrol applications," IEEE Control Syst. Mag., Vol. 22, Issue 6, pp. 8-19, 2002   DOI
3 Noh, M. D., Antaki, J. F., Ricci, M., Gardiner, J., Paden, D., Wu, J., Prem, E., Borovetz, H. and Paden, B., "Magnetic design for the PediaFlow ventricularassist device," Artificial Organs, Vol. 32, No. 2, pp. 127-135, 2008   DOI   ScienceOn
4 Chen, C., Paden, B., Antaki, J., Ludlow, J. and Bearnson, G., "Optimal design of permanent magnet bearings with application to the HeartQuest(TM) ventricular assist device," JSME International Journal Series C-Mechanical Systems Machine Elements and Manufacturing, Vol. 46, No. 2, pp. 403-408, 2003   DOI   ScienceOn
5 Beaty, H. W. and Kirtley, J. L., "Electric Motor Handbook," McGraw Hill, 1998
6 Dorrell, D. G., "Calculation of unbalanced magnetic pull in small cage induction motors with skewed rotors and dynamic rotor eccentricity," IEEE Transactions on Energy Conversion, Vol. 11, Issue 3, pp. 483-488, 1996   DOI   ScienceOn
7 Stoll, R. L., "Simple computational model for calculating the unbalanced magnetic pull on a twopole turbogenerator rotor due to eccentricity," IEEProceedings-Electric Power Applications, Vol. 144, No. 4, pp. 263-270, 1997   DOI   ScienceOn
8 Meeker, D. C., http://femm.foster-miller.net
9 Furlani, E. P., "Permanent Magnet and Electromechanical Devices," Academic Press, 2001
10 Yoo, S. Y., Yi, J. and Noh, M. D., "Design of micro flywheel energy storage system," Proceedings of International Conference on Manufacturing, MachineDesign and Tribology(ICMDT2007), 2007
11 Halbach, K., "Design of permanent multipole magnets with oriented rare earth cobalt material," Nuclear Instruments and Methods, Vol. 169, Issue 1, pp. 1-10, 1980   DOI   ScienceOn
12 Caricchi, F., Crescimbini, F. and Honorati, O., "Lowcost compact permanent magnet machine for adjustable-speed pump application," IEEE Transactions on Industry Applications, Vol. 34, Issue 1, pp. 109-116, 1998   DOI   ScienceOn
13 Kanebako, H. and Okada, Y., "New design of hybridtype self-bearing motor for small, high-speed spindle," IEEE/ASME Transactions on Mechatronics, Vol. 8, Issue 1, pp. 111-119, 2003   DOI   ScienceOn