Magnetic Couplings with Cylindrical and Plane Air Gaps: Influence of the Magnet Polarization Direction.

doi:10.2528/PIERB09051903

PIER B
Progress In Electromagnetics Research B	ISSN: 1937-6472

Home > Vol. 16 > pp. 333-349

MAGNETIC COUPLINGS WITH CYLINDRICAL AND PLANE AIR GAPS: INFLUENCE OF THE MAGNET POLARIZATION DIRECTION.

By R. Ravaud and G. Lemarquand

Full Article PDF (302 KB)
Abstract:
This paper presents a comparison of cylindrical and plane air gap magnetic couplings in which the tile permanent magnet polarizations can be either radial or tangential or axial. The expressions of the torque transmitted between the two rotors of each coupling are determined by using the coulombian approach. All the calculations are performed without any simplifying assumptions. Consequently, the expressions obtained are accurate and enable a fast comparison between the structures presented in this paper.

Citation:
R. Ravaud and G. Lemarquand, "Magnetic couplings with cylindrical and plane air gaps: influence of the magnet polarization direction.," Progress In Electromagnetics Research B, Vol. 16, 333-349, 2009.
doi:10.2528/PIERB09051903
http://www.jpier.org/pierb/pier.php?paper=09051903

References:
1. Baran, W. and M. Knorr, "Synchronous couplings with sm co5 magnets," 2nd Int. Workshop on Rare-earth Cobalt Permanent Magnets and Their Applications, 140-151, Dayton, Ohio, USA, 1976.

2. Yonnet, J. P., "Permanent magnet bearings and couplings," IEEE Trans. Magn., Vol. 17, No. 1, 1169-1173, 1981.
doi:10.1109/TMAG.1981.1061166

3. Yonnet, J. P., S. Hemmerlin, E. Rulliere, and G. Lemarquand, "Analytical calculation of permanent magnet couplings," IEEE Trans. Magn., Vol. 29, No. 6, 2932-2934, 1993.
doi:10.1109/20.280913

4. Furlani, E. P., "Formulas for the force and torque of axial couplings," IEEE Trans. Magn., Vol. 29, No. 5, 2295-2301, 1993.
doi:10.1109/20.231636

5. Nagrial, M. M., "Design optimization of magnetic couplings using high energy magnets," Electric Power Components and Systems, Vol. 21, No. 1, 115-126, 1993.
doi:10.1080/07313569308909638

6. Furlani, E. P. and T. S. Lewis, "A two-dimensional model for the torque of radial couplings," Int J. Appl. Elec. Mech., Vol. 6, No. 3, 187-196, 1995.

7. Furlani, E. P., R. Wang, and H. Kusnadi, "A three-dimensonal model for computing the torque of radial couplings," IEEE Trans. Magn., Vol. 31, No. 5, 2522-2526, 1995.
doi:10.1109/20.406554

8. Furlani, E. P., "Analysis and optimization of synchronous magnetic couplings," Journal of Applied Physics, Vol. 79, No. 8, 4692-4694, 1996.
doi:10.1063/1.361872

9. Elies, P. and G. Lemarquand, "Analytical optimization of the torque of a permanent-magnet coaxial synchronous coupling," IEEE Trans. Magn., Vol. 34, No. 4, 2267-2273, 1998.
doi:10.1109/20.703865

10. Li, Y., J. Zou, and Y. Lu, "Optimum design of magnet shape in permanent-magnet synchronous motors," IEEE Trans. Magn., Vol. 39, No. 11, 3523-4205, 2003.

11. Ravaud, R., G. Lemarquand, V. Lemarquand, and C. Depollier, "Torque in permanent magnet couplings: Comparison of uniform and radial magnetization," Journal of Applied Physics, Vol. 105, No. 5, 2009.
doi:10.1063/1.3074108

12. Selvaggi, J. P., 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, 3278-3285, 2004.
doi:10.1109/TMAG.2004.831653

13. Kwon, O. M., C. Surussavadee, M. V. K. Chari, S. Salon, and K. S. Vasubramaniam, "Analysis of the far field of permanent magnet motors and effects of geometric asymmetries and unbalance in magnet design," IEEE Trans. Magn., Vol. 40, No. 3, 435-442, 2004.
doi:10.1109/TMAG.2004.824117

14. Perigo, E., R. Faria, and C. Motta, "General expressions for the magnetic flux density produced by axially magnetized toroidal permanent magnets," IEEE Trans. Magn., Vol. 43, No. 10, 3826-3832, 2007.
doi:10.1109/TMAG.2007.904708

15. Jian, L. and K. T. Chau, "Analytical calculation of magnetic field distribution in coaxial magnetic gears," Progress In Electromagnetics Research, Vol. 92, 1-16, 2009.
doi:10.2528/PIER09032301

16. Babic, S. I., C. Akyel, and M. M. Gavrilovic, "Calculation improvement of 3D linear magnetostatic field based on fictitious magnetic surface charge," IEEE Trans. Magn., Vol. 36, No. 5, 3125-3127, 2000.
doi:10.1109/20.908707

17. Yonnet, J. P., Rare-earth Iron Permanent Magnets, Ch. Magne-tomechanical Devices, Oxford Science Publications, 1996.

18. Huang, S. M. and C. K. Sung, "Analytical analysis of magnetic couplings with parallelepiped magnets," Journal of Magnetism and Magnetic Materials, Vol. 239, 614-616, 2002.
doi:10.1016/S0304-8853(01)00683-7

19. Ravaud, R., G. Lemarquand, V. Lemarquand, and C. Depollier, "The three exact components of the magnetic field created by a radially magnetized tile permanent magnet," Progress In Electromagnetics Research, Vol. 88, 307-319, 2008.
doi:10.2528/PIER08112708

20. Ravaud, R., G. Lemarquand, V. Lemarquand, and C. Depollier, "Permanent magnet couplings: Field and torque three-dimensional expressions based on the coulombian model," IEEE Trans. Magn., Vol. 45, No. 4, 1950-1958, 2009.
doi:10.1109/TMAG.2008.2010623

21. Ravaud, R. and G. Lemarquand, "Analytical expression of the magnetic field created by tile permanent magnets tangentially magnetized and radial currents in massive disks," Progress In Electromagnetics Research B, Vol. 13, 309-328, 2009.
doi:10.2528/PIERB09012704

22. Ravaud, R., G. Lemarquand, V. Lemarquand, and C. Depollier, "Magnetic field produced by a tile permanent magnet whose polarization is both uniform and tangential," Progress In Electromagnetics Research B, Vol. 13, 1-20, 2009.
doi:10.2528/PIERB08121901

23. Babic, S. I. and C. Akyel, "Improvement in the analytical calculation of the magnetic field produced by permanent magnet rings," Progress In Electromagnetics Research C, Vol. 5, 71-82, 2008.

24. Ravaud, R., G. Lemarquand, V. Lemarquand, and C. Depollier, "Discussion about the analytical calculation of the magnetic field created by permanent magnets," Progress In Electromagnetics Research B, Vol. 11, 281-297, 2009.
doi:10.2528/PIERB08112102

25. Furlani, E. P., S. Reznik, and A. Kroll, "A three-dimensonal field solution for radially polarized cylinders," IEEE Trans. Magn., Vol. 31, No. 1, 844-851, 1995.
doi:10.1109/20.364587

26. Furlani, E. P., "Field analysis and optimization of ndfeb axial field permanent magnet motors," IEEE Trans. Magn., Vol. 33, No. 5, 3883-3885, 1997.
doi:10.1109/20.619603

27. Akoun, G. and J. P. Yonnet, "3D analytical calculation of the forces exerted between two cuboidal magnets," IEEE Trans. Magn., Vol. 20, No. 5, 1962-1964, 1984.
doi:10.1109/TMAG.1984.1063554

28. Elies, P. and G. Lemarquand, "Analytical study of radial stability of permanent magnet synchronous couplings," IEEE Trans. Magn., Vol. 35, No. 4, 2133-2136, 1999.
doi:10.1109/20.774183

29. Yao, Y. D., D. R. Huang, C. C. Hsieh, D. Y. Chiang, S. J. Wang, and T. F. Ying, "The radial magnetic coupling studies of perpendicular magnetic gears," IEEE Trans. Magn., Vol. 32, No. 5, 5061-5063, 1996.
doi:10.1109/20.539490

30. Furlani, E. P., "A two-dimensional analysis for the coupling of magnetic gears," IEEE Trans. Magn., Vol. 33, No. 3, 2317-2321, 1997.
doi:10.1109/20.573848

31. Lemarquand, V., J. F. Charpentier, and G. Lemarquand, "Nonsinusoidal torque of permanent-magnet couplings," IEEE Trans. Magn., Vol. 35, No. 5, 4200-4205, 1999.
doi:10.1109/20.799068

32. Charpentier, J. F. and G. Lemarquand, "Calculation of ironless permanent magnet coupling using semi-numerical magnetic pole theory method," COMPEL, Vol. 20, No. 1, 72-89, 2001.

33. Charpentier, J. F. and G. Lemarquand, "Optimal design of cylindrical air-gap synchronous permanent magnet couplings," IEEE Trans. Magn., Vol. 35, No. 2, 1037-104, 1999.
doi:10.1109/20.748851

34. Charpentier, J. F. and G. Lemarquand, "Optimization of unconventional p.m. couplings," IEEE Trans. Magn., Vol. 38, No. 2, 1093-1096, 2002.
doi:10.1109/20.996280

35. Babic, S. I. and C. Akyel, "Magnetic force calculation between thin coaxial circular coils in air," IEEE Trans. Magn., Vol. 44, No. 4, 445-452, 2008.
doi:10.1109/TMAG.2007.915292

36. Akyel, C., S. I. Babic, and M. M. Mahmoudi, "Mutual inductance calculation for non-coaxial circular air coils with parallel axes," Progress In Electromagnetics Research, Vol. 91, 287-301, 2009.
doi:10.2528/PIER09021907

37. Wang, R., E. P. Furlani, and Z. J. Cendes, "Design and analysis of a permanent-magnet axial coupling using 3D finite element field computation," IEEE Trans. Magn., Vol. 30, No. 4, 2292-2295, 1994.
doi:10.1109/20.305733

38. Azzerboni, B., G. A. Saraceno, and E. Cardelli, "Threedimen-sional calculation of the magnetic field created by currentcarrying massive disks," IEEE Trans. Magn., Vol. 34, No. 5, 2601-2604, 1998.
doi:10.1109/20.717601

39. Chau, K. T., D. Zhang, J. Z. Jiang, and L. Jian, "Transient analysis of coaxial magnetic gears using finite element comodeling," Journal of Applied Physics, Vol. 103, No. 7, 1-3, 2008.
doi:10.1063/1.2831491

40. Bancel, F. and G. Lemarquand, "Three-dimensional analytical optimization of permanent magnets alternated structure," IEEE Trans. Magn., Vol. 34, No. 1, 242-247, 1998.
doi:10.1109/20.650248