http://iet.metastore.ingenta.com
1887

Calculation of some electromagnetic quantities for circular thick coil of rectangular cross-section and pancake with inverse radial currents

Calculation of some electromagnetic quantities for circular thick coil of rectangular cross-section and pancake with inverse radial currents

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IET Electric Power Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

Here, the new expressions for the mutual inductance and the magnetic force between two Bitter coils (thick coil and pancake) with the inverse radial current densities are presented. These types of coils are used for producing the high magnetic fields. For producing strong magnetic fields, the coils are extremely heated, so that they could be cooled to avoid this problem. During a water-cooled magnet trip, the induced current in coil changes as a function of decay time constant which is determined by the self-inductance and the resistance of the water-cooled magnet. Moreover, such high fields develop the strong magnetic forces which can cause the mechanical stress upon the supporting structure. This way the precise evaluation of these electrical quantities between coils must be calculated to optimise the support structure of Bitter coils. With the newly presented approach, these quantities are obtained in an analytical and semi-analytical form expressed over elliptical integrals and simple integrals. For validating this method, the comparative improved filament method is used.

References

    1. 1)
      • 1. Babic, S., Milojkovic, S., Andjelic, Z., et al: ‘Analytical calculation of the 3D magnetostatic field of a toroidal conductor with rectangular cross section’, IEEE Trans. Magn., 1988, 24, (2), pp. 31623164.
    2. 2)
      • 2. Kim, K.B., Levi, E., Zabar, Z., et al: ‘Restoring force between two non-coaxial circular coils’, IEEE Trans. Magn., 1997, 32, (2), pp. 478484.
    3. 3)
      • 3. Furlani, E.P.: ‘A formula for the levitation force between magnetic disks’, IEEE Trans. Magn., 1993, 29, (6), pp. 41654169.
    4. 4)
      • 4. Conway, J.T.: ‘Exact solutions for the magnetic fields of axisymmetric solenoids and current distributions’, IEEE Trans. Magn., 2001, 37, (1), pp. 29772988.
    5. 5)
      • 5. Akyel, C., Babic, S.I., Kincic, S., et al: ‘Magnetic force calculation between thin circular coils and thin filamentary circular coil in air’, J. Electromagn. Waves Appl., 2007, 21, (9), pp. 12731283.
    6. 6)
      • 6. Lang, M.: ‘Fast calculation method for the forces and stiffness's of permanent-magnet bearings’. 8th Int. Symp. on Magnetic Bearing, Mito, Japan, August 2002, pp. 533537.
    7. 7)
      • 7. Selvaggi, J. P., Salon, J. S., Kwon, O. M., 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., 2007, 43, (4), pp. 11531156.
    8. 8)
      • 8. Ravaud, R., Lemarquand, G., Lemarquand, V., et al: ‘Mutual inductance and force exerted between thick coils’, Prog. Eelectromagn. Res., 2010, 102, pp. 367380.
    9. 9)
      • 9. Shiri, A., Shoulaie, A.: ‘A new methodology for magnetic force calculations between planar spiral coils’, Prog. Eelectromagn. Res., 2009, 95, pp. 3957.
    10. 10)
      • 10. Babic, S., Akyel, C., Salon, S.J., et al: ‘New expressions for calculating the magnetic field created by radial current in massive disks’, IEEE Trans. Magn., 2002, 38, (2), pp. 497500.
    11. 11)
      • 11. Azzerboni, B., Saraceno, G.A., Cardelli, E.: ‘Three dimensional calculation of the magnetic field created by current-carrying massive disks’, IEEE Trans. Magn., 1998, 34, (5), pp. 26012604.
    12. 12)
      • 12. Azzerboni, B., Cardelli, E.: ‘Magnetic field evaluation for disk conductors’, IEEE Trans. Magn., 1993, 29, (6), pp. 24192421.
    13. 13)
      • 13. Ravaud, R., Lemarquand, G.: ‘Analytical expression of the magnetic field created by tile permanent magnets tangentially magnetized and radial current massive disks’, Prog. Eelectromagn. Res. B, 2009, 13, pp. 309328.
    14. 14)
      • 14. Bitter, F.: ‘The design of powerful electromagnets part II. The magnetizing coil’, Rev. Sci. Instrum., 1936, 7, (12), pp. 482489.
    15. 15)
      • 15. Sakai, Y., Inoue, K., Maeda, H.: ‘High-strength and high conductivity Cu-Ag alloy sheets: new promising conductor for high-field bitter coils’, IEEE Trans. Magn., 1994, 30, (4), pp. 21142117.
    16. 16)
      • 16. Nakagawa, Y., Noto, K., Hoshi, A., et al: ‘High field laboratory for superconducting materials, institute for materials research, Tohoku university’, Physica B: Condens. Matter, 1989, 155, (13), pp. 6973.
    17. 17)
      • 17. Ren, Y., Wang, F., Kuang, G., et al: ‘Mutual inductance and force calculations between coaxial bitter coils and superconducting coils with rectangular cross section’, J. Supercond. Nov. Magn., 2010, DOI: 10.1007/s10948-010-1086-0.
    18. 18)
      • 18. Ren, Y., Kuang, G., Chen, W.: ‘Inductance of bitter coil with rectangular cross-section’, J. Supercond. Nov. Magn., 2013, 26, pp. 21592163, DOI: 10.1007/s10948-012-1816-6.
    19. 19)
      • 19. Conway, J.T.: ‘Non coaxial force and inductance calculations for bitter coils and coils with uniform radial current distributions’. Applied Superconductivity and Electromagnetic Devices (ASEMD), 2011 Int. Conf., Sidney, Australia, December 2011, pp. 6164.
    20. 20)
      • 20. Babic, S., Akyel, C.: ‘Mutual inductance and magnetic force calculations for bitter disk coils (pancakes)’, IET Sci. Meas. Technol., 2016, 10, (8), pp. 972976, © The Institution of Engineering and Technology 2016.
    21. 21)
      • 21. Babic, S., Akyel, C.: ‘Mutual inductance and magnetic force calculations for bitter disk coil (pancake) with nonlinear radial current and filamentary circular coil with azimuthal current’, Adv. Electr. Eng., 2016, 2016, Art. no. 3654021, 6 pages, http://dx.doi.org/10.1155/2016/3654021.
    22. 22)
      • 22. Babic, S., Akyel, C.: ‘Calculation of mutual inductance and magnetic force between two thick coaxial bitter coils of rectangular cross section’, IET Electr. Power Appl., 2017, 11, (3), pp. 441446, © The Institution of Engineering and Technology 2017.
    23. 23)
      • 23. Babic, S., Akyel, C.: ‘Mutual inductance and magnetic force calculations between thick bitter circular coil of rectangular cross section with inverse radial current and filamentary circular coil with constant azimuthal current’, IET Electr. Power Appl., 2017, 11, (9), pp. 15961600, © The Institution of Engineering and Technology 2017.
    24. 24)
      • 24. Solin, P., Dolezal, I., Karban, P., et al: ‘Integral methods in low-frequency electromagnetics’, July 2009, ISBN: 978-0-470-19550-5.
    25. 25)
      • 25. Abramowitz, M., Stegun, I. A.: ‘Handbook of mathematical functions’ (National Bureau of Standards Applied Mathematics, Washington, DC, 1972), Series 55, p. 595.
    26. 26)
      • 26. Gradshteyn, S., Ryzhik, I.M.: ‘Table of integrals, series and products’ (Academic Press Inc., New York and London, 1965).
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-epa.2018.0176
Loading

Related content

content/journals/10.1049/iet-epa.2018.0176
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address