Abstract
The stationary electric field, current pattern and coupling losses in a multfilamentary, superconducting, twisted, torus-shaped wire are calculated for a torus placed in a homogeneous magnetic field increasing in time at a constant rate and parallel to the torus plane. The radius of the wire is considered to be small compared to the mean radius of the torus. An important parameter for the problem is the ratio between the twist length of the superconducting filaments and the mean radius of the torus. In the configuration considered this parameter is small. The coupling losses are approximately inversely proportional to the square of this ratio. Furthermore, for the wire to have unsaturated parts, the analysis shows that the rate of change of the magnetic field must decrease when this ratio increases.
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References
P.C. Rem, Numerical models for ac superconductors. Thesis, University of Twente, June 1986.
D. Ciazynski and B. Turck, Theoretical and experimental study of the saturation of a superconducting composite under fast changing magnetic field.Cryogenics 24 (1984) 507–514.
R.A. Hartmann, A contribution to the understanding of ac losses in composite superconductors. Thesis, University of Twente, Sept. 1989.
B. Turck, Courants de circulation et pertes dans les composites supraconducteurs soumis a une induction longitudinale variable.Revue de physiquee appliquée (1976) 369.
G. Ries and K.P. Jüngst, Filament coupling in multifilamentary superconductors in pulsed longitudinal fields.Cryogenics (March 1976).
Fusion Technology 14 (1988).
H. London, Alternating current losses in superconductors of the second kind.Phys. Rev. Lett. 6 (1963) 162–165.
C.P. Bean, Magnetization of hard superconductors.Phys. Rev. Lett 8 (1962) 250–253.
W.J. CarrJr., Electromagnetic theory for filamentary superconductors.Phys. Rev. B 11 (1975) 1547–1554.
P.M. Morse and H. Feshbach,Methods of Theoretical Physics, New York: McGraw-Hill (1953).
M. Abramowitz and I. Stegun,Handbook of Mathematical Functions. New York: John Wiley & Sons (1972).
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Niessen, E.M.J., Van De Klundert, L.J.M., Van Damme, R.M.J. et al. Coupling losses in superconducting, torus-shaped wires due to applied magnetic field changes. J Eng Math 26, 395–413 (1992). https://doi.org/10.1007/BF00042742
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DOI: https://doi.org/10.1007/BF00042742