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Hankel Transform Application for Calculation of Ring Coils Inductance. Part 2

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Abstract

Changes in the geometric parameters of ring coils, which are an essential element of transducer design used for non-destructive testing of ferromagnetic metals, entail a change in the self-induction coefficient (inductance) of alternating magnetic field source. In the article, on the basis of proposed approach [1], the equations for determining the ring coils inductance are obtained, allowing to take into account real dimensions of inductors. They are equally suitable for situations where coil is located in an empty space, as well as near a conductive ferromagnetic or non-ferromagnetic metal. Calculating the inductance of ring coil located near magnetized, conductive ferromagnetic plate, we found that circuit inductance is the frequency-dependent complex-valued function vs distance between plate and ring coil. The measurements of the inductance of a coil located above a conductive ferromagnetic plate with a change in the non-contact value were carried out. The obtained results testify to physical meaningfulness and reliability of theoretical statements and calculations. These qualitative and quantitative results correspond to generally accepted energy definition of self-induction coefficient.

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Authors and Affiliations

  1. Kyiv Scientific Research Institute of Hydrodevices, Kyiv, Ukraine

    O. N. Petrischev

  2. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine

    M. I. Romanyuk

  3. National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine

    G. M. Suchkov

Authors
  1. O. N. Petrischev
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  2. M. I. Romanyuk
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  3. G. M. Suchkov
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Correspondence to O. N. Petrischev.

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O. N. Petrischev, M. I. Romanyuk, and G. M. Suchkov

The authors declare that they have no conflict of interest.

The initial version of this paper in Russian is published in the journal “Izvestiya Vysshikh Uchebnykh Zavedenii. Radioelektronika,” ISSN 2307-6011 (Online), ISSN 0021-3470 (Print) on the link http://radio.kpi.ua/article/view/S0021347020070018 with DOI: https://doi.org/10.20535/S0021347020070018

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Petrischev, O.N., Romanyuk, M.I. & Suchkov, G.M. Hankel Transform Application for Calculation of Ring Coils Inductance. Part 2. Radioelectron.Commun.Syst. 63, 329–342 (2020). https://doi.org/10.3103/S0735272720070018

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  • DOI: https://doi.org/10.3103/S0735272720070018

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