Force and stiffness of passive magnetic bearings using permanent magnets. part 2: Radial magnetization

IEEE Transactions on Magnetics

Volumn 45, Issue 9, 2009, Pages 3334-3342

  Ravaud, R ^a   Lemarquand, G ^a   Lemarquand, V ^a  

^a UNIVERSITÉ DU MAINE   (France)

Author keywords

Analytical calculation; Magnetic bearing; Magnetic forces; Ring permanent magnet

Indexed keywords

AIR-GAPS; ANALYTICAL CALCULATION; ANALYTICAL EXPRESSIONS; COMPUTATIONAL COSTS; CURVATURE EFFECT; MAGNETIC FORCE; MAGNETIC FORCES; NUMERICAL EVALUATIONS; PASSIVE MAGNETIC BEARINGS; RADIAL MAGNETIZATION; RELATIVE POSITIONS; RING DIMENSION; RING PERMANENT MAGNET; SEMI-ANALYTICAL; SEMI-ANALYTICAL EXPRESSION;

BEARINGS (STRUCTURAL); FINITE ELEMENT METHOD; MAGNETIC BEARINGS; MAGNETISM; PERMANENT MAGNETS; STIFFNESS;

MAGNETIC MATERIALS;

EID: 69649087735     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2009.2025315     Document Type: Article

References (29)

1. J. P. Yonnet, "Passive magnetic bearings with permanent magnets," IEEE Trans. Magn., vol.MAG-14, no.5, pp. 803-805, Sep. 1978.
2. J. P. Yonnet, "Permanent magnet bearings and couplings," IEEE Trans. Magn., vol.MAG-17, no.1, pp. 1169-1173, Jan. 1981.
3. B. Azzerboni, E. Cardelli, and A. Tellini, "Computation of the magnetic field in massive conductor systems," IEEE Trans. Magn., vol.25, no.6, pp. 4462-4473, Nov. 1989.
4. E. P. Furlani, S. Reznik, and A. Kroll, "A three-dimensional field solution for radially polarized cylinders," IEEE Trans. Magn., vol.31, no.1, pp. 844-851, Jan. 1995.
5. G. Akoun and J. P. Yonnet, "3d analytical calculation of the forces exerted between two cuboidal magnets," IEEE Trans. Magn., vol.MAG-20, no.5, pp. 1962-1964, 1984.
6. K. Kim, E. Levi, Z. Zabar, and L. Birenbaum, "Mutual inductance of noncoaxial circular coils with constant current density," IEEE Trans. Magn., vol.33, no.5, pp. 4303-4309, Sep. 1997.
7. J. P. Selvaggi, S. Salon, O. M. Kwon, and M. V. K. Chari, "Calculating the external magnetic field from permanent magnets in permanent-magnet motors-An alternative method," IEEE Trans. Magn., vol.40, no.5, pp. 3278-3285, Sep. 2004.
8. J. Conway, "Inductance calculations for noncoaxial coils using Bessel functions," IEEE Trans. Magn., vol.43, no.3, pp. 1023-1034, Mar. 2007.
9. J. Conway, "Noncoaxial inductance calculations without the vector potential for axisymmetric coils and planar coils," IEEE Trans. Magn., vol.44, no.10, pp. 453-462, Oct. 2008.
10. J. P. Selvaggi, S. Salon, O. M. Kwon, and M. V. K. Chari, "Computation of the three-dimensional magnetic field from solid permanent-magnet bipolar cylinders by employing toroidal harmonics," IEEE Trans. Magn., vol.43, no.10, pp. 3833-3839, Oct. 2007.
11. K. Kim, E. Levi, Z. Zabar, and L. Birenbaum, "Restoring force between two noncoaxial circular coils," IEEE Trans. Magn., vol.32, no.2, pp. 478-484, Mar. 1996.
12. S. Babic, C. Akyel, S. Salon, and S. Kincic, "New expressions for calculating the magnetic field created by radial current in massive disks," IEEE Trans. Magn., vol.38, no.2, pp. 497-500, Mar. 2002.
13. S. Babic and M. M. Gavrilovic, "New expression for calculating magnetic fields due to current-carrying solid conductors," IEEE Trans. Magn., vol.33, no.5, pp. 4134-4136, Sep. 1997.
14. P. Samanta and H. Hirani, "Magnetic bearing configurations: Theoretical and experimental studies," IEEE Trans. Magn., vol.44, no.2, pp. 292-300, Feb. 2008.
15. B. Azzerboni and G. Saraceno, "Three-dimensional calculation of the magnetic field created by current-carrying massive disks," IEEE Trans. Magn., vol.34, no.5, pp. 2601-2604, Sep. 1998.
16. B. Azzerboni and E. Cardelli, "Magnetic field evaluation for disk conductors," IEEE Trans. Magn., vol.29, no.6, pp. 2419-2421, Nov. 1993.
17. B. Azzerboni, E. Cardelli, M. Raugi, A. Tellini, and G. Tina, "Analytic expressions for magnetic field from finite curved conductors," IEEE Trans. Magn., vol.27, no.2, pp. 750-757, Mar. 1991.
18. C. Blache and G. Lemarquand, "New structures for linear displacement sensor with high magnetic field gradient," IEEE Trans. Magn., vol.28, no.5, pp. 2196-2198, Sep. 1992.
19. G. Lemarquand and V. Lemarquand, "Annular magnet position sensor," IEEE Trans. Magn., vol.26, no.5, pp. 2041-2043, Sep. 1990.
20. H. L. Rakotoarison, J. P. Yonnet, and B. Delinchant, "Using coulom-bian approach for modeling scalar potential and magnetic field of a permanent magnet with radial polarization," IEEE Trans. Magn., vol.43, no.4, pp. 1261-1264, Apr. 2007.
21. V. Lemarquand, J. F. Charpentier, and G. Lemarquand, "Nonsinusoidal torque of permanent-magnet couplings," IEEE Trans. Magn., vol.35, no.5, pp. 4200-4205, Sep. 1999.
22. J. F. Charpentier and G. Lemarquand, "Calculation of ironless permanent magnet coupling using semi-numerical magnetic pole theory method," COMPEL, vol.20, no.1, pp. 72-89, 2001.
23. P. Elies and G. Lemarquand, "Analytical optimization of the torque of a permanent-magnet coaxial synchronous coupling," IEEE Trans. Magn., vol.34, no.4, pp. 2267-2273, Jul. 1998.
24. Z. Zhu, Z. Xia, and D. Howe, "Comparison of Halbach magnetized brushless machines based on discrete magnet segments or a single ring magnet," IEEE Trans. Magn., vol.38, no.5, pp. 2997-2999, Sep. 2002.
25. R. Ravaud, G. Lemarquand, V. Lemarquand, and C. Depollier, "Analytical calculation of the magnetic field created by permanent-magnet rings," IEEE Trans. Magn., vol.44, no.8, pp. 1982-1989, Aug. 2008.
26. R. Ravaud, G. Lemarquand, V. Lemarquand, and C. Depollier, "The three exact components of the magnetic field created by a radially magnetized tile permanent magnet," Progr. Electromagn. Res., PIER, vol.88, pp. 307-319, 2008.
27. R. Ravaud, G. Lemarquand, V. Lemarquand, and C. Depollier, "Discussion about the analytical calculation of the magnetic field created by permanent magnets.," Progr. Electromagn. Res. B, vol.11, pp. 281-297, 2009.
28. R. Ravaud, G. Lemarquand, V. Lemarquand, and C. Depollier, "Magnetic field produced by a tile permanent magnet whose polarization is both uniform and tangential," Progr. Electromagn. Res. B, vol.13, pp. 1-20, 2009.
29. E. Durand, Magnetostatique. Paris, France: Masson Editeur, 1968.