471
Views
14
CrossRef citations to date
0
Altmetric
Articles

Calculation of the Magnetic Field Created by a Thick Coil

, , , &
Pages 1405-1418 | Published online: 03 Apr 2012

References

  • Babic , S. 1988 . Analytical calculation of the 3D magnetostatic field of a torroidal conductor with rectangular cross section . IEEE Trans. Magn. , 24 ( No. 6 ) : 3162 – 3164 .
  • Garrett , M. W. 1951 . Axially symmetric systems for generating and measuring magnetic fields . J. Appl. Phys. , 22 : 1091
  • Garrett , M. W. 1963 . Calculations of fields, forces and mutual inductances of current systems by elliptic integrals . J. Appl. Phys. , 34 : 2567 – 2573 .
  • Urankar , L. 1982 . Vector potential and magnetic field of currentcarrying finite arc segment in analytical form. Part 3: Exact computation for rectangular cross section . IEEE Trans. Magn. , 18 ( No. 6 ) : 1860 – 1867 .
  • Diserens , N. J. 1983 . A search for faster magnetic field routines for curved conductors . IEEE Trans. Magn. , 19 ( No. 6 ) : 2304 – 2306 .
  • Babic , S. I. and Gavrilovic , M. M. 1997 . New expression for calculating magnetic fields due to current-carrying solid conductors . IEEE Trans. Magn. , 33 ( No. 5 ) : 4134 – 4136 .
  • Azzerboni , B. 1991 . Analytic expressions for magnetic field from finite curved conductors . IEEE Trans. Magn. , 27 ( No. 2 ) : 750 – 757 .
  • Azzerboni , B. and Cardelli , E. 1993 . Magnetic field evaluation for disk conductors . IEEE Trans. Magn. , 29 ( No. 6 ) : 2419 – 2421 .
  • Azzerboni , B. 1993 . Magnetic field evaluation for thick annular conductors . IEEE Trans. Magn. , 29 ( No. 3 ) : 2090 – 2094 .
  • Ravaud , R. and Lemarquand , G. 2009 . Analytical expression of the magnetic field created by tile permanent magnets tangentially magnetized and radial currents in massive disks . Progress In Electromagnetics Research B , 13 : 309 – 328 .
  • Akyel , C. , Babic , S. I. and Mahmoudi , M.-M. 2009 . Mutual inductance calculation for non-coaxial circular air coils with parallel axes . Progress In Electromagnetics Research , 91 : 287 – 301 .
  • Babic , S. I. and Akyel , C. 2008 . Calculating mutual inductance between circular coils with inclined axes in air . IEEE Trans. Magn. , 44 ( No. 7 ) : 1743 – 1750 .
  • Babic , S. I. and Akyel , C. 2008 . Magnetic force calculation between thin coaxial circular coils in air . IEEE Trans. Magn. , 44 ( No. 4 ) : 445 – 452 .
  • Shiri , A. and Shoulaie , A. 2009 . A new methodology for magnetic force calculations between planar spiral coils . Progress In Electromagnetics Research , 95 : 39 – 57 .
  • Costa , E. M. M. 2009 . A basic analysis about induced emf of planar coils to ring coils . Progress In Electromagnetics Research B , 17 : 85 – 100 .
  • Conway , J. 2007 . Inductance calculations for noncoaxial coils using bessel functions . IEEE Trans. Magn. , 43 ( No. 3 ) : 1023 – 1034 .
  • Conway , J. 2008 . Noncoaxial inductance calculations without the vector potential for axisymmetric coils and planar coils . IEEE Trans. Magn. , 44 ( No. 4 ) : 453 – 462 .
  • Kim , K. 1996 . Restoring force between two noncoaxial circular coils . IEEE Trans. Magn. , 32 ( No. 32 ) : 478 – 484 .
  • Selvaggi , J. P. 2007 . Computation of the three-dimensionalmagnetic field from solid permanent-magnet bipolar cylinders by employing toroidal harmonics . IEEE Trans. Magn. , 43 ( No. 10 ) : 3833 – 3839 .
  • Selvaggi , J. P. 2007 . Computation of the external magnetic field, near-field or far-field from a circular cylindrical magnetic source using toroidal functions . IEEE Trans. Magn. , 43 ( No. 4 ) : 1153 – 1156 .
  • Mahomy , C. 1995 . A novel approach to the calculation of RF magnetic and electric fields for NMR coils of arbitrary geometry . Journal of Magnetic Resonance , B107 ( No. 2 ) : 145 – 151 .
  • Forbes , L. K. 1997 . Rapid computation of static fields produced by thick circular solenoids . IEEE Trans. Magn. , 33 ( No. 5 ) : 4405 – 4410 .
  • Ravaud , R. 2008 . Analytical calculation of the magnetic field created by permanent-magnet rings . IEEE Trans. Magn. , 44 ( No. 8 ) : 1982 – 1989 .
  • Ravaud , R. and Lemarquand , G. 2009 . 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 , 95
  • Furlani , E. P. 2001 . Permanent Magnet and Electromechanical Devices: Materials, Analysis and Applications , Academic Press .
  • Furlani , E. P. and Knewston , M. 1997 . A three-dimensional field solution for permanent-magnet axial-field motors . IEEE Trans. Magn. , 33 ( No. 3 ) : 2322 – 2325 .
  • Ravaud , R. 2008 . The three exact components of the magnetic field created by a radially magnetized tile permanent magnet . Progress In Electromagnetics Research , 88 : 307 – 319 .
  • Varga , E. and Beyer , A. 1998 . Magnetic field of a uniformly magnetized hollow cylinder . IEEE Trans. Magn. , 34 ( No. 3 ) : 613 – 618 .
  • Ravaud , R. and Lemarquand , G. 2009 . Modelling an ironless loudspeaker by using three-dimensional analytical approaches . Progress In Electromagnetics Research , 91 : 53 – 68 .
  • Vourc’h , E. , Joubert , P. Y. and Cima , L. 2009 . Analytical and numerical analyses of a current sensor using non linear effects in a flexible magnetic transducer . Progress In Electromagnetics Research , 99 : 323 – 338 .
  • Jian , L. and Chau , K. T. 2009 . Analytical calculation of magnetic field distribution in coaxial magnetic gears . Progress In Electromagnetics Research , 92 : 1 – 16 .
  • Charpentier , J. F. and Lemarquand , G. 2001 . Calculation of ironless permanent magnet coupling using semi-numerical magnetic pole theory method . COMPEL , 20 ( No. 1 ) : 72 – 89 .
  • Lemarquand , V. 1999 . Nonsinusoidal torque of permanentmagnet couplings . IEEE Trans. Magn. , 35 ( No. 5 ) : 4200 – 4205 .
  • Ravaud , R. 2008 . Ironless loudspeakers with ferrofluid seals . Archives of Acoustics , 33 ( No. 4S ) : 3 – 10 .
  • http://www.univ-lemans.fr/glemar
  • http://www.sc.kyushu-u.ac.jp/kajikawa.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.