AUTHORS: Leonid Prigozhin, Vladimir Sokolovsky
Download as PDF
ABSTRACT: The fast Fourier transform (FFT) based numerical method for thin film magnetization problems in type-II superconductivity has been proposed by Vestgården and Johansen [Supercond. Sci. Technol. Vol. 25, 2012, 104001]. Our work significantly improves the efficiency of their method and extends it to 3D magnetization problems for bulk superconductors and to stacks of flat thin superconducting films of arbitrary shape, the two configurations of interest for a variety of practical applications. The method is efficient, allows for a highly nonlinear current–voltage relation characterising the superconducting material, and is much easier to implement than the recently proposed approaches based upon the finite element methods. We present solutions to two realistic bulk problems, where superconductors are employed for magnetic shielding and as a magnetic field concentrator (a lens). A rescaled solution to a few-film-stack problem was used to obtain an accurate approximation to the anisotropic homogenization limit of magnetization of a densely packed stack of many films.
KEYWORDS: Type-II superconductivity; numerical solution; 3D magnetization problems; fast Fourier transform.
REFERENCES:
[
1] E. Pardo and M. Kapolka, 3D computation of non-linear eddy currents: Variational method and superconducting cubic bulk, J. Comp. Physics, Vol. 344, 2017, pp. 339-363.
[2] M. Olm, S. Badia and A.F. Martín, Simulation of high temperature superconductors and experimental validation, Computer Phys. Communications, Vol. 237, 2019, pp. 154-167.
[3] J.I. Vestgården and T.H. Johansen, Modeling non-local electrodynamics in superconducting films: the case of a right angle corner, Supercond. Sci. Technol. Vol. 25, No.10, 2012, 104001.
[4] L. Prigozhin and V. Sokolovsky, Fast Fourier transform-based solution of 2D and 3D magnetization problems in type-II superconductivity, Supercond. Sci.Technol. Vol. 31, No.5, 2018, 055018.
[5] L. Prigozhin and V. Sokolovsky, 3D simulation of superconducting magnetic shields and lenses using the fast Fourier transform, J. Appl. Physics, Vol. 123, No. 23, 2018, 233901.
[6] L. Prigozhin and V. Sokolovsky, Solution of 3D magnetization problems for superconducting film stacks, Supercond. Sci. and Technol. Vol. 31, No.12, 2018, 125001.
[7] L. Gozzelino, R. Gerbaldo, G. Ghigo, F. Laviano, M. Truccato, A. Agostino, Superconducting and hybrid systems for magnetic field shielding, Supercond. Sci. Technol. Vol. 29, No.3, 2016, 034004.
[8] Z.Y. Zhang, S. Choi, S. Matsumoto, R. Teranishi, G. Giunchi, A.F. Albisetti, T. Kiyoshi, Magnetic lenses using different MgB2 bulk superconductors, Supercond. Sci. Technol. Vol. 25, No.2, 2012, 025009.
[9] J. R. Clem, J.H. Claassen and Y. Mawatari, AC losses in a finite Z stack using an anisotropic homogeneous-medium approximation, Supercond. Sci. Technol. Vol. 20, No.12, 2007, pp. 1130-1139.
[10] Y. Weijia, A.M. Campbell, and T.A. Coombs, A model for calculating the AC losses of second-generation high temperature superconductor pancake coils, Supercond. Sci. Technol. Vol. 22, 2009, 075028.
[11] L. Prigozhin and V. Sokolovsky, Computing AC losses in stacks of high-temperature superconducting tapes, Supercond. Sci. Technol. Vol. 24, No.7, 2011, 075012.
[12] M. Kapolka, V.M.R. Zermeño, S. Zou, A. Morandi, P.L. Ribani, E. Pardo, F. Grilli, Three-dimensional modeling of the magnetization of superconducting rectangularbased bulks and tape stacks, IEEE Trans. Applied Supercond. Vol. 28, No.4, 2018, pp. 1- 6.
