| Title:
|
Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets (English) |
| Author:
|
Melkes, František |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
401-412 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Mathematical treatment of a planar magnetic field excited by permanent magnets is presented. A special two-sided condition for differential magnetic reluctivity is introduced to prove the unique existence of both the weak and the approximate solutions and also a certain error estimate. Notes to numerical algorithm and practical applications are given. (English) |
| Keyword:
|
magnetic field with permanent magnets |
| Keyword:
|
variational formulation |
| Keyword:
|
two-sided unique existence condition |
| Keyword:
|
finite element method |
| MSC:
|
65N30 |
| MSC:
|
78M10 |
| idZBL:
|
Zbl 1099.65113 |
| idMR:
|
MR2151464 |
| DOI:
|
10.1007/s10492-005-0030-2 |
| . |
| Date available:
|
2009-09-22T18:23:11Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134614 |
| . |
| Reference:
|
[1] P. Adamec, A. Delong, and B. Lencová: Miniature magnetic electron lenses with permanent magnets.J. Micr. 179 (1995), 129–132. 10.1111/j.1365-2818.1995.tb03622.x |
| Reference:
|
[2] C. C. Chan, K. T. Chau, J. Z. Jiang, W. Xia, M. Zhu, and R. Zhang: Novel permanent magnet motor drives for electric vehicles.IEEE Trans. Ind. Electron 43 (1996), 331–339. 10.1109/41.491357 |
| Reference:
|
[3] C. C. Chan, J. Z. Jiang, W. Xia, and K. T. Chau: Novel wide range speed control of permanent magnet brushless motor drives.IEEE Trans. Power Electron 10 (1995), 539–546. 10.1109/63.406841 |
| Reference:
|
[4] M. Enokizono, K. Matsumura: Magnetic field analysis of a permanent magnet motor by finite element method.JSAEM 3, Applied Electromagnetics in Materials (1995), 349–356. |
| Reference:
|
[5] M. V. Ferreira da Luz, P. Dular, N. Sadowski, Ch. Geuzaine, and J. P. A. Bastos: Analysis of a permanent magnet generator with dual formulations using periodicity conditions and moving band.IEEE Trans. Magn. 38 (2002), 961–964. 10.1109/20.996247 |
| Reference:
|
[6] J. Y. Gan, K. T. Chau, Y. Wang, C. C. Chan, and D. J. Z. Jiang: Design and analysis of a new permanent magnet brushless DC Machine.IEEE Trans. Magn. 36 (2000), 3353–3356. 10.1109/20.908798 |
| Reference:
|
[7] W. Kamminga: Finite-element solutions for devices with permanent magnets.J. Phys. D: Appl. Phys. 8 (1975), 841–855. 10.1088/0022-3727/8/7/017 |
| Reference:
|
[8] Y. Kawase, T. Ota, and H. Fukunaga: 3-D eddy current analysis in permanent magnet of interior permanent magnet motors.IEEE Trans. Magn. 36 (2000), 1863–1866. 10.1109/20.877808 |
| Reference:
|
[9] Y. Kawase, T. Yamaguchi, and Y. Hayashi: Analysis of cogging torque of permanent magnet motor by 3-D finite element method.IEEE Trans. Magn. 31 (1995), 2044–2047. 10.1109/20.376445 |
| Reference:
|
[10] M. Kos, F. Melkes, and M. Stolařík: Numerical computation of magnetic fields of synchronous machines with permanent magnets. In: TES 1982.(1982), VUES Brno, theoretical number, 43–52. (Czech) |
| Reference:
|
[11] M. V. F. da Luz, P. Dular, N. Sadowski, Ch. Geuzaine, and J. P. A. Bastos: Analysis of a permanent magnet generator with dual formulations using periodicity conditions and moving band.IEEE Trans. Magn. 38 (2002), 961–964. 10.1109/20.996247 |
| Reference:
|
[12] F. Melkes: Mathematical treatment of planar magnetic fields with permanent magnets.Interdisciplinary Applied Electromagnetics, CSAEM, Brno, 1996, pp. 69–76. |
| Reference:
|
[13] F. Melkes: Rod permanent magnet in an external magnetic field.Acta Technica ČSAV (1990), 146–155. |
| Reference:
|
[14] F. Melkes, A. Ženíšek: On a certain two-sided symmetric condition in magnetic field analysis and computations.Appl. Math 42 (1997), 147–159. MR 1430406, 10.1023/A:1022295111737 |
| Reference:
|
[15] J. Polák: Variational Principles and Methods of Electromagnetic Field Theory.Academia, Prague, 1988. (Czech) |
| Reference:
|
[16] H. Polinder, M. J. Hoeijmakers: Eddy-current losses in the segmented surface-mounted magnets of a PM machine.IEE Proc. Electr. Power Appl. 146 (1999), 261–266. 10.1049/ip-epa:19990091 |
| Reference:
|
[17] Y. Wang, K. T. Chau, C. C. Chan, and J. Z. Jiang: Transient analysis of a new outer-rotor permanent-magnet brushless DC drive using circuit-field-torque coupled time-stepping finite-element method.IEEE Trans. Magn. 38 (2002), 1297–1300. 10.1109/20.996331 |
| . |
