New analytic-numerical solutions for the mutual inductance of two coaxial circular coils with rectangular cross section in air

IEEE Transactions on Magnetics

Volumn 42, Issue 6, 2006, Pages 1661-1669

  Babic, Slobodan I ^a,b   Akyel, Cevdet ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^b International Compumag Society   (Canada)

Author keywords

Filament method; Maxwell's coils; Mutual inductance; Neumann's formula

Indexed keywords

FILAMENT METHOD; MAXWELL'S COILS; MUTUAL INDUCTANCE; NEUMANN'S FORMULA;

AIR; COAXIAL CABLES; FUNCTION EVALUATION; INDUCTANCE; INTEGRAL EQUATIONS; MAXWELL EQUATIONS;

ELECTRIC COILS;

EID: 33744817064     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2006.872626     Document Type: Article

References (22)

1. F. W. Grover, Inductance Calculations. New York: Dover, 1964, ch. 2 and 13.
2. H. B. Dwight, Electrical Coils and Conductors. New York: McGraw-Hill, 1945.
3. C. Snow, Formulas for Computing Capacitance and Inductance. Washington, DC: National Bureau of Standards Circular 544, Dec. 1954.
4. G. Zhong and C. K. Koh, "Exact closed form formula for partial mutual inductance of on-chip interconnects, " in Proc. 2002 IEEE Int. Conf. Computer Design: VLSI in Computers and Processors, ICCD.
5. D. Yu and K. S. Han, "Self-inductance of air-core circular coils with rectangular cross-section, " IEEE Trans. Magn., vol. MAG-23, no. 6, pp. 3916-3921, Nov. 1987.
6. A. V. Kildishev, "Application of spheroidal functions in magnetostatics, " IEEE Trans. Magn., vol. 40, no. 2, pp. 846-849, Mar. 2004.
7. K.-B. Kim, E. Levi, Z. Zabar, and L. Birenbaum, "Mutual inductance of noncoaxial circular coils with constant current density, " IEEE Trans. Magn., vol. 33, no. 5, pp. 3916-3921, Sep. 1997.
8. S. Babic 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, pp. 678-684, Jul. 2000.
9. C. Akyel, 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, pt. 1, pp. 1367-1369, Sep. 2002.
10. S. Babic, 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, pp. 1131-1134, May 2003.
11. S. Babic, S. J. Salon, and C. Akyel, "The mutual inductance of two thin coaxial disk coils in air, " IEEE Trans. Magn., vol. 40, no. 2, pp. 822-825, Mar. 2004.
12. L. Bottura, "Inductance calculation for conductors of arbitrary shape, " CRYO /02 /028, Apr. 5, 2002.
13. K. Kajikawa and K. Kaiho, "Usable ranges of some expressions for calculation of the self-inductance of a circular coil of rectangular cross section, " (in Japanese) Cryogenic Eng., vol. 30, no. 7, pp. 324-332, 1995.
14. M. Catrysse, B. Hermans, and R. Puers, "An inductive power system with integrated bi-directional data-transmission, " Sens. Actuators A, Phys., vol. 115, ISSN: 0924-4247, no. 2-3, pp. 221-229, Sep. 21, 2004.
15. S. F. Pichorim and P. J. Abatti, "Design of coils for millimeter and submillimeter sized biotelemetry, " IEEE Trans. Magn., vol. 51, no. 8, pp. 1487-1489, Aug. 2004.
16. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, set. 55. Washington, DC: National Bureau of Standards Applied Mathematics, Dec. 1972, p. 595.
17. M. Liao, Z. Zabar, E. Levy, and L. Birenbaum, "Numerical calculation of the inductance of circular coils, " in 5th Symp. Electromagnetic Launch Technology, Touluse, France, Apr. 10-13, 1995.
18. Z. Zabar, X. N. Lu, E. Levi, L. Birenbaum, and J. Creedon, "Experimental results and performance analysis of a 500 m/sec linear induction launcher (LIL), " IEEE Trans. Magn., vol. 31, no. 1, pp. 522-527, Jan. 1995.
19. Infolytica Corp., MagNet version 6.4.1 [Online]. Available: http://www.infolytica.com/en/marcetcs/appspec/cstudies/coaxial%20coils_2Dcs.pdf
20. C. A. Borghi, U. Reggiani, and G. Zama, "Calculation of mutual inductance by means of the toroidal multipole expansion method, " IEEE Trans. Magn., vol. 25, no. 4, pp. 2992-2994, Jul. 1989.
21. M. W. Garet, "Calculation of fields, forces and mutual inductances of current systems by elliptic integrals, " J. Appl. Phys., vol. 34, pp. 2567-2573, 1963.
22. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products. New York: Academic, 1965.