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Current density in two parallel cylindrical conductors and their inductance

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Abstract

The general method for calculating the current density in two parallel conductors of arbitrary cross section is used to calculate the current density in two solid conductors of circular cross section that does not change along the conductors. The conductors are supplied from a source of sinusoidal voltage in steady state. Based on the calculated current density, the impedance of a segment of two conductors is examined. The calculated exact inductance values are compared with the values obtained via calculation using formulae published in the literature.

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References

  1. Coufal O (2014) Current density in two solid parallel conductors and their impedance. Electr Eng 96:287–297. doi:10.1007/s00202-014-0296-z

    Article  Google Scholar 

  2. Coufal O (2007) Current density in a pair of solid coaxial conductors. Electromagnetics 27:299–320

    Article  Google Scholar 

  3. Micu DD, Czumbil L, Christoforidis GC, Papadopulos T (2012) Semi-infinite integral implementation in the development steps of Interfstud electromagnetic interference software. In: 47th International universities’ power egineering conference, London. http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6398640. 4–7 Sept 2012

  4. Deri A, Tevan G, Semlyen A, Castanheira A (1981) The complex ground return plane A simplified model for homogeneous and multi-layer earth return. IEEE Trans Power Appar Syst PAS 100:3686–3693

    Article  Google Scholar 

  5. Budak BM, Fomin SV (1967) Kratnye integraly i ryady. Nauka Publishing House, Moscow

    Google Scholar 

  6. Ralston A, Rabinowitz P (2001) A first course in numerical analysis, 2nd edn. Dover Publications Inc., Mineola, New York

    MATH  Google Scholar 

  7. IEC 60050-131:2002/A1:2008 international electrotechnical vocabulary–part 131: circuit theory

  8. Coufal O (2013) On resistance and inductance of solid conductors. J Eng 2013(526072):1–14. doi:10.1155/2013/526072

    Article  Google Scholar 

  9. Lide DR (2007) CRC handbook of chemistry and physics, 88th edn. CRC Press, Boca Raton

    Google Scholar 

  10. Coufal O Current density in a long solitary tubular conductor. J Phys A Math Theor 41(145401): 1–14. doi:10.1088/1751-8113/41/14/145401

  11. Bajcsy J et al (1977) Encyclopaedia of electrical engineering: theoretical electrical engineering, in Slovak, vol 1. Alfa, Bratislava

    Google Scholar 

  12. Haňka L (1975) Electromagnetic theory, in Czech. SNTL, Prague

    Google Scholar 

  13. Maxwell JC (1954) A treatise on electricity and magnetism: unabridged, vol II, 3rd edn. Dover Publications Inc., New York

    MATH  Google Scholar 

  14. Jackson JD (1998) Classical electrodynamics, 3rd edn. Wiley, New York

    MATH  Google Scholar 

  15. Mayer D (2012) Applied electromagnetism, in Czech. KOPP, České Budějovice

    Google Scholar 

  16. Hlávka J (1968) Electrical engineering I, physical foundations: part 1, in Czech. SNTL, Prague

    Google Scholar 

  17. Matick RE (1995) Transmission lines for digital and communication networks. IEEE Press, New York

    Google Scholar 

  18. Feynman RP, Leighton RB, Sands M (2010) The Feynman lectures on physics. The new millennium edition, vol 2. Basic Books, New York

    Google Scholar 

  19. Coufal O (2012) On inductance and resistance of solitary long solid conductor. Acta Tech 57(1):75–89

    MathSciNet  Google Scholar 

  20. Brandão Faria JA (2011) Skin effect in inhomegeneous Euler–Cauchy tubular conductors. Prog Electromagn Res M 18:89–101

    Article  Google Scholar 

  21. Raven MS (2013) Maxwell’s vector potential method, transient currents and the skin effect. Acta Tech 58(3):337–350

  22. Raven MS (2014) Skin effect in the time domain via vector potentials. Acta Tech 59(1):49–62

    MathSciNet  Google Scholar 

Download references

Acknowledgments

The paper was prepared at the Centre for Research and Utilization of Renewable Energy (CVVOZE). The author gratefully acknowledges financial support from National Feasibility Programme I of the Ministry of Education, Youth and Sport of the Czech Republic under Project No. LO1210.

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Authors and Affiliations

  1. Brno University of Technology, Technická 3082/12, 616 00, Brno, Czech Republic

    Oldřich Coufal

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  1. Oldřich Coufal
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Correspondence to Oldřich Coufal.

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Coufal, O. Current density in two parallel cylindrical conductors and their inductance. Electr Eng 99, 519–523 (2017). https://doi.org/10.1007/s00202-016-0378-1

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  • DOI: https://doi.org/10.1007/s00202-016-0378-1

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