Search search
submit Submit
Publication Date
to
Vol. 98
Latest Volume
All Volumes
PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
All Journals
PIER PIER B PIER C PIER M PIER Letters
2009-10-28
Magnetic Field Produced by a Parallelepipedic Magnet of Various and Uniform Polarization
By
Romain Ravaud,

    Dr. Romain Ravaud

    Laboratoire d'Acoustique de l'Universite du Maine

    France

    Homepage

Guy Lemarquand

    Prof. Guy Lemarquand

    Laboratoire d'Acoustique de l'Universite du Maine

    France

    Homepage

Progress In Electromagnetics Research, Vol. 98, 207-219, 2009
doi:10.2528/PIER09091704
Abstract
This paper deals with the modeling of parallelepipedic magnets of various polarization directions. For this purpose, we use the coulombian model of a magnet for calculating the magnetic potential in all points in space. Then, we determine the three components of the magnetic field created by a parallepiped magnet of various polarization direction. These three components and the scalar magnetic potential are also expressed in terms of fully analytical terms. It is to be noted that the formulas determined in this paper are more general that the ones established in the literature and can be used for optimization purposes. Moreover, our study is carried out without using any simplifying assumptions. Consequently, these expressions are accurate whatever the magnet dimensions. This analytical formulation is suitable for the design of unconventional magnetic couplings, electric machines and wigglers.
Citation
Romain Ravaud, and Guy Lemarquand, "Magnetic Field Produced by a Parallelepipedic Magnet of Various and Uniform Polarization," Progress In Electromagnetics Research, Vol. 98, 207-219, 2009.
doi:10.2528/PIER09091704
References

1. 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, 3125-3217, 2000.
doi:10.1109/20.908707

2. 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.

3. 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

4. Yonnet, J. P., Rare-earth Iron Permanent Magnets, Ch. Magnetomechanical devices, Oxford science publications, 1996.

5. Ravaud, R., 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

6. 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

7. Furlani, E. P., Permanent Magnet and Electromechanical Devices: Materials, Analysis and Applications, Academic Press, 2001.

8. Furlani, E. P. and M. Knewston, "A three-dimensional field solution for permanent-magnet axial-field motors," IEEE Trans. Magn., Vol. 33, No. 3, 2322-2325, 1997.
doi:10.1109/20.573849

9. 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

10. 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

11. 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

12. 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

13. Yonnet, J. P., et al. "Analytical calculation of permanent magnet couplings," IEEE Trans. Magn., Vol. 29, No. 6, 2932-2934, 1993.
doi:10.1109/20.280913

14. Blache, C. and G. Lemarquand, "New structures for linear displacement sensor with hight magnetic field gradient," IEEE Trans. Magn., Vol. 28, No. 5, 2196-2198, 1992.
doi:10.1109/20.179441

15. Conway, J., "Noncoaxial inductance calculations without the vector potential for axisymmetric coils and planar coils," IEEE Trans. Magn., Vol. 44, No. 4, 453-462, 2008.
doi:10.1109/TMAG.2008.917128

16. Babic, S. I., F. Sirois, and C. Akyel, "Validity check of mutual inductance formulas for circular filaments with lateral and angular misalignments," Progress In Electromagnetics Research M, Vol. 8, 15-26, 2009.
doi:10.2528/PIERM09060105

17. 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

18. 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

19. Rakotoarison, H. L., J. P. Yonnet, and B. Delinchant, "Using coulombian approach for modeling scalar potential and magnetic field of a permanent magnet with radial polarization," IEEE Trans. Magn., Vol. 43, No. 4, 1261-1264, 2007.
doi:10.1109/TMAG.2007.892316

20. Varga, E. and A. Beyer, "Magnetic field of a uniformly magnetized hollow cylinder," IEEE Trans. Magn., Vol. 34, No. 3, 613-618, 1998.
doi:10.1109/20.668053

21. Zhilichev, Y., "Calculation of magnetic field of tubular permanent magnet assemblies in cylindrical bipolar coordinates," IEEE Trans. Magn., Vol. 43, No. 7, 3189-3195, 2007.
doi:10.1109/TMAG.2007.894636

22. Selvaggi, J. P., et al. "Computation of the three-dimensional magnetic field from solid permanent-magnet bipolar cylinders by employing toroidal harmonics," IEEE Trans. Magn., Vol. 43, No. 10, 3833-3839, 2007.
doi:10.1109/TMAG.2007.902995

23. Selvaggi, J. P., et al. "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

24. Selvaggi, J. P., et al. "Computation of the external magnetic field, near-field or far-field from a circular cylindrical magnetic source using toroidal functions," IEEE Trans. Magn., Vol. 43, No. 4, 1153-1156, 2007.
doi:10.1109/TMAG.2007.892275

25. Ravaud, R. and G. Lemarquand, "Comparison of the coulombian and amperian current models for calculating the magnetic field produced by arc-shaped permanent magnets radially magnetized," Progress In Electromagnetics Research, Vol. 95, 309-327, 2009.
doi:10.2528/PIER09042105

26. Xia, Z., Z. Q. Zhu, and D. Howe, "Analytical magnetic field analysis of Halbach magnetized permanent-magnet machines," IEEE Trans. Magn., Vol. 40, No. 4, 1864-1872, 2004.
doi:10.1109/TMAG.2004.828933

27. Wang, J., G. W. Jewell, and D. Howe, "Design optimisation and comparison of permanent magnet machines topologies," IEE Proc. Elect. Power Appl., Vol. 148, 456-464, 2001.
doi:10.1049/ip-epa:20010512

28. Ravaud, R. and G. Lemarquand, "Discussion about the magnetic field produced by cylindrical Halbach structures," Progress In Electromagnetics Research B, Vol. 13, 275-308, 2009.
doi:10.2528/PIERB09012004

29. Ravaud, R. and G. Lemarquand, "Mechanical properties of a ferrofluid seal: Three-dimensional analytical study based on the coulombian model ," Progress In Electromagnetics Research B, Vol. 13, 385-407, 2009.
doi:10.2528/PIERB09020601

30. Ravaud, R. and G. Lemarquand, "Design of ironless loudspeakers with ferrofluid seals: Analytical study based on the coulombian model," Progress In Electromagnetics Research B, Vol. 14, 285-309, 2009.
doi:10.2528/PIERB09031904

31. 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

Download Full Article (278) View Full Article volume
The EM Academy piers.org jpier.org Who's Who in EM
Copyright © 2022 The Electromagnetics Academy. All Rights Reserved.