Exact solutions for the mutual inductance of circular coils and elliptic coils

IEEE Transactions on Magnetics

Volumn 48, Issue 1, 2012, Pages 81-94

  Conway, John T ^a  

^a UNIVERSITY OF AGDER   (Norway)

Author keywords

Bessel functions; coils; inductance; magnetic fields

Indexed keywords

COILS; ELLIPTIC INTEGRALS; EXACT SOLUTION; MUTUAL INDUCTANCE; NUMERICAL RESULTS; PARALLEL AXES; SAMPLE GEOMETRY;

BESSEL FUNCTIONS; INTEGRAL EQUATIONS; MAGNETIC FIELDS;

INDUCTANCE;

EID: 84855473498     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2011.2161768     Document Type: Article

References (26)

1. J. T. Conway, "Mutual inductance for an explicitly finite number of turns," Progr. Electromagn. Res. B, vol. 28, pp. 273-287, 2011.
2. J. T. Conway, "Inductance calculations for circular coils of rectangular cross section and parallel axes using Bessel and Struve functions," IEEE Trans. Magn., vol. 46, no. 1, pp. 75-81, Jan. 2010.
3. J. T. Conway, "Non coaxial inductance calculations without the vector potential for axisymmetric coils and planar coils," IEEE Trans. Magn., vol. 44, no. 4, pp. 453-462, Apr. 2008. (Pubitemid 351467494)
4. J. T. Conway, "Inductance calculations for noncoaxial coils using Bessel functions," IEEE Trans. Magn., vol. 43, no. 3, pp. 1023-1034, Mar. 2007. (Pubitemid 46375711)
5. C. Akyel, S. Babic, and M. M. Mahmoudi, "Mutual inductance calculation for non coaxial circular coils with parallel axes," PIER 91, pp. 287-301, 2009.
6. S. I. Babic and C. Akyel, "Calculating mutual inductance between circular coils with inclined axes in air," IEEE Trans. Magn., vol. 44, no. 7, pp. 1743-1750, Jul. 2008.
7. S. I. Babic 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, pp. 1661-1669, Jun. 2006. (Pubitemid 43832986)
8. S. Babic, S. Salon, and C. Akyel, "The mutual inductance of two thin disk coils in air," IEEE Trans. Magn., vol. 40, no. 2, pp. 822-825, Mar. 2004.
9. S. Babic, C. Akyel, and S. Salon, "New procedures for calculating the mutual inductance of the system: Thin circular coil-massive circular solenoid," IEEE Trans. Magn., vol. 39, no. 3, pp. 1131-1134, May 2003.
10. C. Akyel, S. Babic, and S. Kincic, "New procedures for calculating the mutual inductance of coaxial circular coils (circular coil - Disk coil)," IEEE Trans. Magn., vol. 38, no. 5, pp. 2367-2369, Sep. 2002. (Pubitemid 35444515)
11. S. Babic and C. Akyel, "Improvement in calculation of the self- and mutual inductance of thin wall solenoids and disk coils," IEEE Trans. Magn., vol. 36, no. 4, pp. 1970-1975, Jul. 2000. (Pubitemid 32020283)
12. R. Ravaud, G. Lemarquand, S. Babic, V. Lemarquand, and C. Akyel, "Cylindrical magnets and coils: Fields, forces, and inductances," IEEE Trans. Magn., vol. 46, no. 9, pp. 3585-3590, Sep. 2010.
13. R. Ravaud, G. Lemarquand, V. Lemarquand, S. Babic, and C. Akyel, "Mutual inductance and force exerted between thick coils," Progress in Electromagnetics Research, PIER 102, pp. 367-380, 2010.
14. G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1944.
15. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 7th ed. New York: Academic, 2007.
16. M. Abramowitz and I. S. Stegun, Handbook of Mathematical Functions. New York: Dover, 1972.
17. J. T. Conway, "Calculations for a disk source and a general detector using a radiation vector potential," Nucl. Instrum. Methods A., vol. 589, no. 1, pp. 20-33, 2008.
18. S. Wolfram, The Mathematica Book, 5th ed. Champaign, IL: Wolfram Media, 2003.
19. W. K. H. Panofsky and M. Phillips, Classical Electricity & Magnetism. Reading, MA: Addison-Wesley, 1962.
20. W. R. Smythe, Static and Dynamic Electricity, 3rd ed. New York: McGraw-Hill, 1968.
21. J. D. Jackson, Classical Electrodynamics, 2nd ed. New York: Wiley, 1975.
22. J. T. Conway, "Exact solutions for the magnetic fields of solenoids and current distributions," IEEE Trans. Magn., vol. 37, no. 4, pp. 2977-2988, Jul. 2001. (Pubitemid 32969526)
23. J. H. Graf, "Ueber die addition und substraction der argumente bei Bessel'schen functionen nebst einer anwendung," Math. Ann., vol. 43, pp. 136-144, 1893.
24. A. Gervois and H. Navelet, "Integrals of three Bessel functions and Legendre functions. II," J. Math. Phys., vol. 26, no. 4, pp. 645-655, Apr. 1985.
25. J. T. Conway, "Analytical solutions for the Newtonian gravitational field induced by matter within axisymmetric boundaries," Mon. Not. R. Astron. Soc., vol. 316, pp. 540-554, 2000.
26. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. New York: Gordon and Breach, 1986, vol. 2.