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A New Methodology for Magnetic Force Calculations Between Planar Spiral Coils

By Abbas Shiri and Abbas Shoulaie
Progress In Electromagnetics Research, Vol. 95, 39-57, 2009


Due to the special structure of current carrying planar spiral coils, precise calculation of the forces between them is complicated and time-consuming. To overcome these problems, in this paper a new and fast method is proposed for calculation of the magnetic forces between planar spiral coils. The advantage of the proposed method is that just by having the external dimension of coils and their number of turns, the force between them at different distances and with different currents can be calculated. The results obtained by direct and proposed calculation methods show the efficiency of the latter in simplicity and calculation time. The precision of the proposed method has been confirmed by experimental tests done on constructed coils.


Abbas Shiri and Abbas Shoulaie, "A New Methodology for Magnetic Force Calculations Between Planar Spiral Coils," Progress In Electromagnetics Research, Vol. 95, 39-57, 2009.


    1. Ding, X., K. Kuribayashi, and T. Hashida, "Development of a new type tactile sensor using micro electromagnetic coil for human robot ," IEEE International Symposium on Micromechatronics and Human Science , 181-187, 2000.

    2. Atluri, S. and M. Ghovanloo, "A wideband power-efficient inductive wireless link for implantable microelectronic devices using multiple carriers," IEEE International Symp. on Circuits and Systems (ISCAS), 1131-1134, 2006.

    3. Kawabe, K., H. Koyama, and K. Shirae, "Planar inductor," IEEE Trans. on Mag., Vol. 20, No. 5, 1804-1811, 1984.

    4. Sato, T., M. Hasegawa, T. Mizogochi, and M. Sahashi, "Study of high power planar inductor," IEEE Trans. on Mag., Vol. 27, No. 6, 5277-5279, 1991.

    5. Fukuda, Y., T. Inoue, T. Mizoguchi, S. Yatabe, and Y. Tachi, "Planar inductor with ferrite layers for DC-DC converter," IEEE Trans. on Mag., Vol. 39, No. 4, 2057-2061, 2003.

    6. Sasada, I., T. Yamaguchi, K. Harada, and Y. Notohara, "Planar inductors using NiZn ferrite thin plates and the application to high-frequency DC-DC converters," IEEE Trans. on Mag., Vol. 29, No. 6, 3231-3233, 1993.

    7. Kawase, I., T. Sato, K. Yamasawa, and Y. Miura, "A planar inductor using Mn-Zn ferrite/polyimide composite thick film for low-Voltage and large-current DC-DC converter," IEEE Trans. on Mag., Vol. 41, No. 10, 3991-3993, 2005.

    8. Meriched, A., M. Feliachi, and H. Mohellebi, "Electromagnetic forming of thin metal sheets," IEEE Trans. on Mag., Vol. 36, No. 4, 1808-1811, 2000.

    9. Akyel, C., S. I. Babic, S. Kincic, and J. P. Lagace, "Magnetic force calculation of some circular coaxial coils in air," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 9, 1273-1283, 2007.

    10. Babic, S. I. and C. Akyel, "Magnetic force calculation between thin coaxial circular coils in air," IEEE Trans. on Magnetics, Vol. 44, No. 4, 445-452, 2008.

    11. Cheng, D. K., Field and Wave Electromagnetics, 2 Ed., Addison Wesley, 1989.

    12. Shiri, A., "Calculation of magnetic forces between current carrying coils in two plates,", Master of Science Thesis, Iran University of Science & Technology, September 2006 (in Persian).

    13. Shiri, A. and A. Shoulaie, "Calculation of magnetic forces between planar spiral coils," 15th Iranian Conference on Electrical Engineering, Tehran, Iran, 2007 (in Persian).

    14. Spiegel, M. R., Schaum's Outline Series: Mathematical Handbook of Formulas and Tables , McGraw-Hill, 1968.

    15. Urankar, L. and P. Henninger, "Compact extended algorithms for elliptic integrals in electromagnetic field and potential computations part 1: Elliptic integrals of first and second kind with extended integration range," IEEE Trans. on Mag., Vol. 27, No. 5, 4338-4342, 1991.