Vol. 91

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2009-03-31

Mutual Inductance Calculation for Non-Coaxial Circular Air Coils with Parallel Axes

By Cevdet Akyel, Slobodan Babic, and Mohamed-Mehdi Mahmoudi
Progress In Electromagnetics Research, Vol. 91, 287-301, 2009
doi:10.2528/PIER09021907

Abstract

We present a practical and simple method for calculating the mutual inductance between two non-coaxial circular coils with parallel axes. All possible circular coils such as coils of rectangular cross section, thin wall solenoids, thin disk coils (pancakes) and circular filamentary coils are taken into consideration. We use Grover's formula for the mutual inductance between two filamentary circular coils with parallel axes. The filament method is applied for all coil combinations, for coils of the rectangular cross section and for thin coils. We consider that the proposed method is very simple, accurate and practical for engineering applications. Computed mutual inductance values obtained by the proposed method have been verified by previously published data and the software Fast-Henry. All results are in a very good agreement. This method can be used in various electromagnetic applications such as coil guns, tubular linear motors, transducers, actuators and biomedical implanted sensors.

Citation


Cevdet Akyel, Slobodan Babic, and Mohamed-Mehdi Mahmoudi, "Mutual Inductance Calculation for Non-Coaxial Circular Air Coils with Parallel Axes," Progress In Electromagnetics Research, Vol. 91, 287-301, 2009.
doi:10.2528/PIER09021907
http://www.jpier.org/PIER/pier.php?paper=09021907

References


    1. Catrysse, M., B. Hermans, and R. Puers, "An inductive power system with integrated bidirectional data-transmission," Sens. Actuators A, Phys., Vol. 115, No. 2–3, 221-229, Sep. 21, 2004.

    2. Babic, S. and C. Akyel, "Calculating mutual inductance between circular coils with inclined axes in air," IEEE Trans.Magn., Vol. 44, No. 7, 1743-1750, July 2008.
    doi:10.1109/TMAG.2008.920251

    3. Grover, F. W., Inductance Calculations, Chaps. 2 and 13, Dover, New York, 1964.

    4. Dwight, H. B., Electrical Coils and Conductors, McGraw-Hill Book Company, New York, 1945.

    5. Snow, C., Formulas for Computing Capacitance and Inductance, National Bureau of Standards Circular 544, Washington DC, Dec. 1954.

    6. Kalantarov, P. L., Inductance Calculations, National Power Press, Moscow, 1955.

    7. Babic, S. and C. Akyel, "An improvement in calculation of the self- and mutual inductance of thin-wall solenoids and disk coils," IEEE Trans. Magn., Vol. 36, No. 4, 678-684, 2000.
    doi:10.1109/TMAG.2000.875240

    8. Akyel, C., S. Babic, and S. Kincic, "New and fast procedures for calculating the mutual inductance of coaxial circular coils (disk coil — Circular coil)," IEEE Trans. Magn., Vol. 38, No. 5, Part 1, 1367-1369, 2002.
    doi:10.1109/TMAG.2002.803576

    9. Babic, S., C. Akyel, and S. J. Salon, "New procedures for calculating the mutual inductance of the system: Filamentary circular coil-massive circular solenoid," IEEE Trans. Magn., Vol. 38, No. 5, 1131-1134, 2003.
    doi:10.1109/TMAG.2003.810550

    10. Babic, S., S. J. Salon, and C. Akyel, "The mutual inductance of two thin coaxial disk coils in air," IEEE Trans. on Magn., Vol. 40, No. 1, 822-825, 2004.
    doi:10.1109/TMAG.2004.824810

    11. Babic, S. I. and C. Akyel, "New mutual inductance calculation of the magnetically coupled coils: Thin disk coil — Thin wall solenoid," Journal of Electromagnetic Waves and Appllications, Vol. 20, No. 10, 1281-1290, 2006.
    doi:10.1163/156939306779276794

    12. Babic, S. I. and C. Akyel, "New analytic-numerical solutions for the mutual inductance of two coaxial circular coils with rectangular cross section in air," IEEE Trans. Magn., Vol. 42, No. 6, 1661-1669, Jun. 2006.
    doi:10.1109/TMAG.2006.872626

    13. Koledintseva, M. Y., J. L. Drewniak, T. P. Van Doren, D. J. Pommerenke, M. Cocchini, and D. M. Hockanson, "Method of edge currents for calculating mutual external inductance in a microstrip structure," Progress In Electromagnetics Research, PIER 80, 197-224, 2008.

    14. Koledintseva, M. Y., J. L. Drewniak, T. P. Van Doren, D. J. Pommerenke, M. Cocchini, and D. M. Hockanson, "Mutual external inductance in stripline structures," Progress In Electromagnetics Research, PIER 80, 349-368, 2008.

    15. Chaoui, M., H. Ghariani, M. Lahiani, F. Sellami, and , "Maximum of mutual inductance by inductive link," The 14th Onternational Conference on Microelectronics 2002-ICM, 265-268, Dec. 11-13, 2002.

    16. Conway, J. T., "Inductance calculations for noncoaxial coils using bessel functions," IEEE Trans. on Magn., Vol. 43, No. 3, 1023-1034, Mar. 2007.
    doi:10.1109/TMAG.2006.888565

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

    18. Ravaud, 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

    19. Ravaud, R., G. Lemarquand, V. Lemarquand, and C. Depollier, "Magnetic field produced by a tile permanent magnet whose polarization is both uniform and tangential ," Progress In Electromagnetics Research B, Vol. 13, 1-20, 2009.
    doi:10.2528/PIERB08121901

    20. 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

    21. Kamon, M., M. J. Tsuk, and J. White, "Fast-Henry: A multipole-accelerated 3-D inductance extraction program," IEEE Trans. Microwave Theory Tech., Vol. 42, 1750-1758, Sep. 1994.
    doi:10.1109/22.310584

    22. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, National Burea of Standards Applied Mathematics, Series 5, Washington DC, Dec. 1972.