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A Method for Calculating the Mutual Inductance of a Coil System Using a Model of an Axially Magnetized Cylinder

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Abstract

A method for calculating the mutual inductance of a system of tightly wound coils through the energy of axially magnetized cylinders is proposed. Formulas for calculating 3D fields of a cylinder and coils expressed in terms of elliptical integrals are obtained. Тhe volume-average demagnetization factor of the cylinder is shown to be equal to the Nagaoka coefficient for the self-inductance of short coils.

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REFERENCES

  1. http://coil32.ru/; http://g3ynh.info/zdocs/magnetics/.

  2. P. L. Kalantarov and P. A. Tseitlin, Inductance Analysis: A Reference Book (Energoatomizdat, Leningrad, 1986) [in Russian].

    Google Scholar 

  3. E. Pursell, Electricity and Magnetism (Cambridge Univ. Press, Cambridge, 2013).

    Book  Google Scholar 

  4. A. K. Andreev, J. Mach. Manuf. Reliab. 48, 26 (2019).

    Article  Google Scholar 

  5. H. Bateman, Partial Differential Equations of Mathematical Physics (Dover, New York, 1944).

    MATH  Google Scholar 

  6. A. K. Andreev, Magnetostatics of Ferromagnets (MAI, Moscow, 2011) [in Russian].

  7. G. Eason, B. Noble, and I. N. Sneddon, Phil. Trans. R. Soc. London, Ser. A 247, 529 (1955).

    Article  ADS  Google Scholar 

  8. R. I. Joseph and E. Schlömann, J. Appl. Phys. 36, 1579 (1964).

    Article  ADS  Google Scholar 

  9. Handbook of Mathematical Functions, Ed. by M. Abramo-witz and I. Stegun (Nation. Bureau of Standards, New York, 1964).

  10. A. K. Andreev, State Registration Certificate of Computer Program No. 2012614673, Byull. Izobret., No. 3 (2012), Part 2, p. 378.

  11. T. Taniguchi, J. Magn. Magn. Mater. 452, 464 (2018).

    Article  ADS  Google Scholar 

  12. A. Caciagli, R.  J. Baars, A. P. Philipse, and B. W. M. Kuipers, J. Magn. Magn. Mater. 456, 423 (2018).

    Article  ADS  Google Scholar 

  13. H. Nagaoka, J. Colloid Sci. 27, 18 (1909).

    Google Scholar 

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Correspondence to A. K. Andreev.

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Translated by G. Dedkov

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Andreev, A.K. A Method for Calculating the Mutual Inductance of a Coil System Using a Model of an Axially Magnetized Cylinder. Tech. Phys. Lett. 46, 1096–1099 (2020). https://doi.org/10.1134/S1063785020110024

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  • DOI: https://doi.org/10.1134/S1063785020110024

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