Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets

František Melkes

Applications of Mathematics (2005)

  • Volume: 50, Issue: 4, page 401-412
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Melkes, František. "Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets." Applications of Mathematics 50.4 (2005): 401-412. <http://eudml.org/doc/33229>.

@article{Melkes2005,
abstract = {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.},
author = {Melkes, František},
journal = {Applications of Mathematics},
keywords = {magnetic field with permanent magnets; variational formulation; two-sided unique existence condition; finite element method; magnetic field with permanent magnets; variational formulation; two-sided unique existence condition; finite element method},
language = {eng},
number = {4},
pages = {401-412},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets},
url = {http://eudml.org/doc/33229},
volume = {50},
year = {2005},
}

TY - JOUR
AU - Melkes, František
TI - Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets
JO - Applications of Mathematics
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 4
SP - 401
EP - 412
AB - 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.
LA - eng
KW - magnetic field with permanent magnets; variational formulation; two-sided unique existence condition; finite element method; magnetic field with permanent magnets; variational formulation; two-sided unique existence condition; finite element method
UR - http://eudml.org/doc/33229
ER -

References

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  1. 10.1111/j.1365-2818.1995.tb03622.x, J.  Micr. 179 (1995), 129–132. (1995) DOI10.1111/j.1365-2818.1995.tb03622.x
  2. 10.1109/41.491357, IEEE Trans. Ind. Electron 43 (1996), 331–339. (1996) DOI10.1109/41.491357
  3. 10.1109/63.406841, IEEE Trans. Power Electron 10 (1995), 539–546. (1995) DOI10.1109/63.406841
  4. Magnetic field analysis of a permanent magnet motor by finite element method, JSAEM 3, Applied Electromagnetics in Materials (1995), 349–356. (1995) 
  5. 10.1109/20.996247, IEEE Trans. Magn. 38 (2002), 961–964. (2002) DOI10.1109/20.996247
  6. 10.1109/20.908798, IEEE Trans. Magn. 36 (2000), 3353–3356. (2000) DOI10.1109/20.908798
  7. 10.1088/0022-3727/8/7/017, J.  Phys.  D: Appl. Phys. 8 (1975), 841–855. (1975) DOI10.1088/0022-3727/8/7/017
  8. 10.1109/20.877808, IEEE Trans. Magn. 36 (2000), 1863–1866. (2000) DOI10.1109/20.877808
  9. 10.1109/20.376445, IEEE Trans. Magn. 31 (1995), 2044–2047. (1995) DOI10.1109/20.376445
  10. Numerical computation of magnetic fields of synchronous machines with permanent magnets. In: TES 1982, (1982), VUES Brno, theoretical number, 43–52. (Czech) (1982) 
  11. 10.1109/20.996247, IEEE Trans. Magn. 38 (2002), 961–964. (2002) DOI10.1109/20.996247
  12. Mathematical treatment of planar magnetic fields with permanent magnets, Interdisciplinary Applied Electromagnetics, CSAEM, Brno, 1996, pp. 69–76. (1996) 
  13. Rod permanent magnet in an external magnetic field, Acta Technica ČSAV (1990), 146–155. (1990) 
  14. 10.1023/A:1022295111737, Appl. Math 42 (1997), 147–159. (1997) MR1430406DOI10.1023/A:1022295111737
  15. Variational Principles and Methods of Electromagnetic Field Theory, Academia, Prague, 1988. (Czech) (1988) 
  16. 10.1049/ip-epa:19990091, IEE Proc. Electr. Power Appl. 146 (1999), 261–266. (1999) DOI10.1049/ip-epa:19990091
  17. 10.1109/20.996331, IEEE Trans. Magn. 38 (2002), 1297–1300. (2002) DOI10.1109/20.996331

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