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Determination of the Mutual Inductance Between Parallel Lines by Making Use of Struve’s Function

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Environmental and Space Electromagnetics

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Abstract

This paper shows an exact formula of mutual inductance (MI) emploied special functions, and points out that the result from Carson’s formula is better than that from Pollaczek’s formula under the conditions of small distance between wires and small earth conductivity. Finally by using special functions, the method to determine the MI between three phase power lines and a communication line is given.

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References

  1. Pollaczek: Uber das feld einez unendlich langen wechselstromdurch flossen einfachleitung, ENT, 0, 1926.

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  2. Carson: Wave propagation in overhead wires with ground return, BSTJ, Oct., 1926.

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  3. Gao Yougang: Some applications of Bessel function in protection technique of telecommunication Lines, Telecommunication USSR, No. 11, 1959.

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  4. CCITT Directives concerning the protection of telecommunication lines, p.133, 1963.

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  5. Lu Yinghua, Gao Yougang: The mutual coupling inductance between three phase power lines and communication lines, Journal of Beijing Univ. of Posts and Telecoms., No. 1, 1983.

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  6. Watson: A treaties of the theory of Bessel functions, 1945.

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  7. Gao Yougang: Inductive coupling and resistive coupling, People’s Pub. House of Posts and Telecoms., Beijing, China, 1979.

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Author information

Authors and Affiliations

  1. EMC Laboratory, Beijing University of Posts and Telecoms, Beijing, PR China

    Y-G. Gao & Y-H. Lu

Authors
  1. Y-G. Gao
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  2. Y-H. Lu
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Editor information

Editors and Affiliations

  1. College of Science & Technology, Nihon University, 1-8-14, Kanda Surugadai, 101, Chiyoda-ku, Tokyo, Japan

    Hiroshi Kikuchi (Professor, URSI Commission E Chairman) (Professor, URSI Commission E Chairman)

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© 1991 Springer-Verlag Tokyo

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Gao, YG., Lu, YH. (1991). Determination of the Mutual Inductance Between Parallel Lines by Making Use of Struve’s Function. In: Kikuchi, H. (eds) Environmental and Space Electromagnetics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68162-5_38

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  • DOI: https://doi.org/10.1007/978-4-431-68162-5_38

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68164-9

  • Online ISBN: 978-4-431-68162-5

  • eBook Packages: Springer Book Archive

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