The Impact of Different Nonlinear <i>E-J</i> Relations on the Solvability and Convergence of High-Temperature Superconductor Quench Simulations
The current sharing process and increase in the electric field are closely related to the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">E-J</i> relation during the quench of high-temperature superconductor (HTS). <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">E-J</i> power-law relation of the type <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">E = E<sub>c</sub>(J/J<sub>c</sub>)</i><sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> is widely used in modeling the dynamics of HTS, with <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">E<sub>c</sub></i> typically defined as 10<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">−4</sup> V/m, corresponding with the electric field when the current density <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">J</i> equals the critical current density <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">J<sub>c</sub></i>. This value is much lower than the electric field within a 40-μm-thick copper stabilizer carrying a current greater than 10 A, as well as the average electric field observed in the quenching zone during experiments. It means the current density is far greater than the critical current density when quench happens. The high ratio of <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">J/J<sub>c</sub></i> along with the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">E-J</i> power-law relation brings difficulty in the convergence of the numerical model. This paper presented the comparison of the numerical simulation of the quench propagation problem in a single tape model with three nonlinearity <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">E-J</i> relations. The comparison reveals that one of these relations, in particular, significantly enhances the solvability and convergence of the quench model while resulting in smaller relative errors.
Authors
- Hui Yu (ORCID: https://orcid.org/0000-0002-9917-7871)
- Shige Yang (ORCID: https://orcid.org/0009-0002-0991-3917)
- Y. F. Chen (ORCID: https://orcid.org/0009-0001-4692-7712)
- Guangli Kuang (ORCID: https://orcid.org/0009-0004-1691-308X)
- Bowen Xie (ORCID: https://orcid.org/0009-0004-5857-5103)
- S. Li (ORCID: https://orcid.org/0009-0005-2381-1732)
- Shili Jiang (ORCID: https://orcid.org/0009-0006-8289-7828)
- Yafei Tao (ORCID: https://orcid.org/0009-0008-8811-4809)
- Donghui Jiang (ORCID: https://orcid.org/0009-0009-1065-2137)
- Guoruihang Li (ORCID: https://orcid.org/0009-0007-7761-0359)
- Bohan Tang (ORCID: https://orcid.org/0009-0000-7203-4515)
- Wangnan Shang (ORCID: https://orcid.org/0009-0006-7899-7842)
- Wenge Chen (ORCID: https://orcid.org/0000-0002-7483-4708)
Institutions
- University of Science and Technology of China (CN)
- Chinese Academy of Sciences (CN)
- Hefei Institutes of Physical Science (CN)
- High Magnetic Field Laboratory (CN)
Publication Details
- Journal
- IEEE Transactions on Applied Superconductivity
- Published
- 2024-12-30
- DOI
- https://doi.org/10.1109/tasc.2024.3522069
- Citations
- 1
- Primary Topic
- Physics of Superconductivity and Magnetism
- Type
- article
- Field-Weighted Citation Impact
- 0.31