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Higher harmonics in the voltage on a superconducting wire carrying AC electrical current

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Central European Journal of Physics

Abstract

The problem of determining the harmonic content in the voltage that appears on a superconducting wire carrying cosine-like AC current was resolved theoretically, using two approaches. First, the Fourier components of the voltage spectrum were found by numerical integration. Importance of individual terms was established, leading to two conclusions: a) it is the cosine component of the 3rd harmonic that represents the bulk of harmonic distortion, b) for the practical purposes it is sufficient to consider higher harmonics with n ≤ 7. Then, the analytical formulas were derived. While for the sine components a general expression containing an infinite series was found, closed-form formulas were derived for the cosine components of the harmonics 1, 3, 5, 7. Consequences of the results to the experimental technique used to study the AC transport properties of superconductors are discussed.

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Author notes

  1. Riccardo Tebano

    Present address: Pirelli Labs, Viale Sarca, 222, 20126, Milano, Italy

Authors and Affiliations

  1. Istituto Nazionale per la Fisica della Materia, Dipartimento di Scienza dei Materiali dell'Università Statale di Milano-Bicocca, INFM, Milano, Italy

    Riccardo Tebano

  2. Institute of Electrical Engineering, Slovak Academy of Sciences, Dubravska cest 9, Bratislava, Slovakia

    Fedor Gömöry

Authors
  1. Riccardo Tebano
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  2. Fedor Gömöry
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Tebano, R., Gömöry, F. Higher harmonics in the voltage on a superconducting wire carrying AC electrical current. centr.eur.j.phys. 1, 246–257 (2003). https://doi.org/10.2478/BF02476295

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  • DOI: https://doi.org/10.2478/BF02476295

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