Numerical And Analytical Solutions for the Dynamic Stability of Edge Cooled Superconducting Tapes using Two Dimensional Variational Principles

J. Schwartz; J. E.C. Williams; J. Schwartz

doi:10.1109/20.133630

Numerical And Analytical Solutions for the Dynamic Stability of Edge Cooled Superconducting Tapes using Two Dimensional Variational Principles

J. Schwartz, J. E.C. Williams, J. Schwartz

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2 Scopus citations

Abstract

The dynamic stability of an edge cooled superconducting tape is a non-linear, 3D magnetothermal problem. In this analysis, a two dimensional linearized version is solved using variational principles. To accurately model the physical behaviour of the conductor, trial functions are carefully chosen subject to the exact boundary conditions and a numerical solution is obtained. This solution is compared to a recently obtained analytic solution and the one dimensional solution obtained by Hart. The 2D analysis indicates that the finite thermal diffusion in the superconductor can play a significant role for wo/dsc< 100, where Wo is the half width of the tape and dscis the thickness of the superconductor.

Original language	English (US)
Pages (from-to)	2120-2123
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	27
Issue number	2
DOIs	https://doi.org/10.1109/20.133630
State	Published - Mar 1991

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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title = "Numerical And Analytical Solutions for the Dynamic Stability of Edge Cooled Superconducting Tapes using Two Dimensional Variational Principles",

abstract = "The dynamic stability of an edge cooled superconducting tape is a non-linear, 3D magnetothermal problem. In this analysis, a two dimensional linearized version is solved using variational principles. To accurately model the physical behaviour of the conductor, trial functions are carefully chosen subject to the exact boundary conditions and a numerical solution is obtained. This solution is compared to a recently obtained analytic solution and the one dimensional solution obtained by Hart. The 2D analysis indicates that the finite thermal diffusion in the superconductor can play a significant role for wo/dsc< 100, where Wo is the half width of the tape and dscis the thickness of the superconductor.",

author = "J. Schwartz and Williams, {J. E.C.} and J. Schwartz",

note = "Funding Information: This work performed under appointment to the Magnetic Fusion Energy Technology Fellowship which is administered for the U.S. Department of Energy by Oak Ridge Associated Universities.",

year = "1991",

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AU - Schwartz, J.

AU - Williams, J. E.C.

AU - Schwartz, J.

N1 - Funding Information: This work performed under appointment to the Magnetic Fusion Energy Technology Fellowship which is administered for the U.S. Department of Energy by Oak Ridge Associated Universities.

PY - 1991/3

Y1 - 1991/3

N2 - The dynamic stability of an edge cooled superconducting tape is a non-linear, 3D magnetothermal problem. In this analysis, a two dimensional linearized version is solved using variational principles. To accurately model the physical behaviour of the conductor, trial functions are carefully chosen subject to the exact boundary conditions and a numerical solution is obtained. This solution is compared to a recently obtained analytic solution and the one dimensional solution obtained by Hart. The 2D analysis indicates that the finite thermal diffusion in the superconductor can play a significant role for wo/dsc< 100, where Wo is the half width of the tape and dscis the thickness of the superconductor.

AB - The dynamic stability of an edge cooled superconducting tape is a non-linear, 3D magnetothermal problem. In this analysis, a two dimensional linearized version is solved using variational principles. To accurately model the physical behaviour of the conductor, trial functions are carefully chosen subject to the exact boundary conditions and a numerical solution is obtained. This solution is compared to a recently obtained analytic solution and the one dimensional solution obtained by Hart. The 2D analysis indicates that the finite thermal diffusion in the superconductor can play a significant role for wo/dsc< 100, where Wo is the half width of the tape and dscis the thickness of the superconductor.

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Numerical And Analytical Solutions for the Dynamic Stability of Edge Cooled Superconducting Tapes using Two Dimensional Variational Principles

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