Higher harmonics in the voltage on a superconducting wire carrying AC electrical current |
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Authors: | Riccardo Tebano Fedor Gömöry |
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Institution: | (1) Istituto Nazionale per la Fisica della Materia, Dipartimento di Scienza dei Materiali dell'Università Statale di Milano-Bicocca, INFM, Milano, Italy;(2) Institute of Electrical Engineering, Slovak Academy of Sciences, Dubravska cest 9, Bratislava, Slovakia;(3) Present address: Pirelli Labs, Viale Sarca, 222, 20126 Milano, Italy |
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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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Keywords: | Type II superconductors critical state AC transport properties |
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