Quench characteristics and mechanical responses during quench propagation in rare earth barium copper oxide pancake coils

doi:10.1007/s10483-021-2699-6

Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (2): 235-250.doi: https://doi.org/10.1007/s10483-021-2699-6

Quench characteristics and mechanical responses during quench propagation in rare earth barium copper oxide pancake coils

Mengdie NIU^1,2, Jing XIA³, Huadong YONG^1,2, Youhe ZHOU^1,2

1. Key Laboratory of Mechanics on Disaster and Environment in Western China, The Ministry of Education of China, Lanzhou University, Lanzhou 730000, China;
2. Department of Mechanics and Engineering Sciences, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China;
3. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

收稿日期:2020-08-23 修回日期:2020-11-16 发布日期:2021-01-30
通讯作者: Huadong YONG E-mail:yonghd@lzu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11872195, 11472120, and 11802036) and the 111 Project (No. B14044)

Quench characteristics and mechanical responses during quench propagation in rare earth barium copper oxide pancake coils

Mengdie NIU^1,2, Jing XIA³, Huadong YONG^1,2, Youhe ZHOU^1,2

1. Key Laboratory of Mechanics on Disaster and Environment in Western China, The Ministry of Education of China, Lanzhou University, Lanzhou 730000, China;
2. Department of Mechanics and Engineering Sciences, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China;
3. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Received:2020-08-23 Revised:2020-11-16 Published:2021-01-30
Contact: Huadong YONG E-mail:yonghd@lzu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11872195, 11472120, and 11802036) and the 111 Project (No. B14044)

摘要/Abstract

摘要： Quench and mechanical behaviors are critical issues in high temperature superconducting (HTS) coils. In this paper, the quench characteristics in the rare earth barium copper oxide (REBCO) pancake coil at 4.2 K are analyzed, and a two-dimensional (2D) axisymmetric electro-magneto-thermal model is presented. The effects of the constituent materials, background field, and coil size are analyzed. An elastoplastic mechanical model is used to study the corresponding mechanical responses during the quench propagation. The variations of the temperature and strain in superconducting layers are compared. The results indicate that the radial strain evolutions can reflect the transverse quench propagation and the tensile hoop and radial stresses in superconducting layers increase with the quench propagation. The possible damages are discussed with the consideration of the effects of the background field and coil size. It is concluded that the high background field significantly increases the maximum tensile hoop and radial stresses in quenching coils and local damage may be caused.

关键词: rare earth barium copper oxide (REBCO) pancake coil, hoop stress, quench characteristic, mechanical response, radial stress

Abstract: Quench and mechanical behaviors are critical issues in high temperature superconducting (HTS) coils. In this paper, the quench characteristics in the rare earth barium copper oxide (REBCO) pancake coil at 4.2 K are analyzed, and a two-dimensional (2D) axisymmetric electro-magneto-thermal model is presented. The effects of the constituent materials, background field, and coil size are analyzed. An elastoplastic mechanical model is used to study the corresponding mechanical responses during the quench propagation. The variations of the temperature and strain in superconducting layers are compared. The results indicate that the radial strain evolutions can reflect the transverse quench propagation and the tensile hoop and radial stresses in superconducting layers increase with the quench propagation. The possible damages are discussed with the consideration of the effects of the background field and coil size. It is concluded that the high background field significantly increases the maximum tensile hoop and radial stresses in quenching coils and local damage may be caused.

Key words: rare earth barium copper oxide (REBCO) pancake coil, hoop stress, quench characteristic, mechanical response, radial stress

中图分类号:

Mengdie NIU, Jing XIA, Huadong YONG, Youhe ZHOU. Quench characteristics and mechanical responses during quench propagation in rare earth barium copper oxide pancake coils[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(2): 235-250.

参考文献

[1] HAHN, S., KIM, K., KIM, K., HU, X. B., PAINTER, T., DIXON, I., KIM, S., BHATTARAI, K. R., NOGUCHI, S., JAROSZYNSKI, J., and LARBALESTIER, D. C. 45.5-tesla direct-current magnetic field generated with a high-temperature superconducting magnet. nature, 570, 496-499(2019) [2] TSUKAMOTO, O., FUJIMOTO, Y., and TAKAO, T. Study on stabilization and quench protection of coils wound of HTS coated conductors considering quench origins-proposal of criteria for stabilization and quench protection. Cryogenics, 63, 148-154(2014) [3] WEIJERS, H. W., MARKIEWICZ, W. D., GAVRILIN, A. V., VORAN, A. J., VIOUCHKOV, Y. L., GUNDLACH, S. R., NOYES, P. D., ABRAIMOV, D. V., BAI, H. Y., HANNAHS, S. T., and MURPHY, T. P. Progress in the development and construction of a 32 T superconducting magnet. IEEE Transactions on Applied Superconductivity, 26, 4300807(2016) [4] TAKAHASHI, S., SUETOMI, Y., TAKAO, T., YANAGISAWA, Y., MAEDA, H., TAKEDA, Y., and SHIMOYAMA, J. I. Hoop stress modification, stress hysteresis and degradation of a REBCO coil due to the screening current under external magnetic field cycling. IEEE Transactions on Applied Superconductivity, 30, 4602607(2020) [5] SUMPTION, M. D., MAJOROS, M., SUSNER, M., LYONS, D., PENG, X., CLARK, C. F., LAWLESS, W. N., and COLLINGS, E. W. Thermal diffusion and quench propagation in YBCO pancake coils wound with ZnO and mylar insulations. Superconductor Science and Technology, 23, 075004(2010) [6] LIU, L. Y., CHEN, Y., ZHANG, H. Y., CHEN, W., SHI, J. T., YANG, X. S., ZHANG, Y., and ZHANG, Y. Quench characteristics comparison between solid nitrogen and conduction cooled REBCO coil under thermal disturbance and over current pulse. IEEE Transactions on Applied Superconductivity, 28, 4603705(2018) [7] ZHANG, M., MATSUDA, K., and COOMBS, T. A. New application of temperature-dependent modelling of high temperature superconductors:quench propagation and pulse magnetization. Journal of Applied Physics, 112, 043912(2012) [8] HAHN, S., PARK, D. K., BASCUNAN, J., and IWASA, Y. HTS pancake coils without turn-to-turn insulation. IEEE Transactions on Applied Superconductivity, 21, 1592-1595(2011) [9] SHIN, H. J., KIM, K. L., CHOI, Y. H., YANG, D., KIM, Y. G., and LEE, H. A study on normal zone propagation behavior of partially insulated GdBCO coil. IEEE Transactions on Applied Superconductivity, 25, 6600404(2015) [10] LECREVISSE, T., BADEL, A., BENKEL, T., CHAUD, X., FAZILLEAU, P., and TIXADOR, P. Metal-as-insulation variant of no-insulation HTS winding technique:pancake tests under high background magnetic field and high current at 4.2 K. Superconductor Science and Technology, 31, 055008(2018) [11] WANG, Y. W., ZHENG, J. X., ZHU, Z. X., ZHANG, M., and YUAN, W. J. Quench behavior of high-temperature superconductor (RE)Ba₂Cu₃O_x CORC cable. Journal of Physics D:Applied Physics, 52, 345303(2019) [12] PI, W., LIU, Z. Q., LI, G. Q., MA, S. W., MENG, Y. R., SHI, Q. M., DONG, J., and WANG, Y. S. 4D simulation of quench behavior in quasi-isotropic superconducting cable of stacked REBCO tapes considering thermal contact resistance. Superconductor Science and Technology, 33, 084005(2020) [13] SU, X. Y., LIU, C., ZHOU, J., ZHANG, X. Y., and ZHOU, Y. H. A method to access the electromechanical properties of superconducting thin film under uniaxial compression. Acta Mechanica Sinica, 36, 1046-1050(2020) [14] BARTH, C., MONDONICO, G., and SENATORE, C. Electro-mechanical properties of REBCO coated conductors from various industrial manufacturers at 77 K, self-field and 4.2 K, 19 T. Superconductor Science and Technology, 28, 045011(2015) [15] ZHANG, X. Y., SUN, C., LIU, C., and ZHOU, Y. H. A standardized measurement method and data analysis for the delamination strengths of YBCO coated conductors. Superconductor Science and Technology, 33, 035005(2020) [16] WANG, T. G., LI, Z. X., GAO, J. J., and GOU, X. F. Mechanical damage of YBa₂Cu₃O₇ coated conducting films caused by its CeO₂ interface with defect. International Journal of Applied Mechanics, 11, 1950038(2019) [17] GRAY, W. H. and BALLOU, J. K. Finite element stress analysis of orthotropic solenoids. Journal of Applied Physics, 48, 3100-3109(1977) [18] ARP, V. Stresses in superconducting solenoids. Journal of Applied Physics, 48, 2026-2036(1977) [19] WANG, L., WANG, Q. L., LI, L. K., QIN, L., LIU, J. H., LI, Y., and HU, X. N. The effect of winding conditions on the stress distribution in a 10.7 T REBCO insert for the 25.7 T superconducting magnet. IEEE Transactions on Applied Superconductivity, 28, 4600805(2018) [20] LIU, D. H., ZHANG, W. W., YONG, H. D., and ZHOU, Y. H. Thermal stability and mechanical behavior in no-insulation high-temperature superconducting pancake coils. Superconductor Science and Technology, 31, 085010(2018) [21] LIU, D. H., ZHANG, W. W., YONG, H. D., and ZHOU, Y. H. Numerical analysis of thermal stability and mechanical response in a no-insulation high-temperature superconducting layer-wound coil. Superconductor Science and Technology, 32, 044001(2019) [22] XIA, J., BAI, H. Y., YONG, H. D., WEIJERS, H. W., PAINTER, T. A., and BIRD, M. D. Stress and strain analysis of a REBCO high field coil based on the distribution of shielding current. Superconductor Science and Technology, 32, 095005(2019) [23] HONG, Z. Y., CAMPBELL, A. M., and COOMBS, T. A. Numerical solution of critical state in superconductivity by finite element software. Superconductor Science and Technology, 19, 1246-1252(2006) [24] COMSOL Co., Ltd. COMSOL Multiphysics Material Library, Beijing (2020) [25] LU, J., CHOI, E. S., and ZHOU, H. D. Physical properties of Hastelloy C-276 at cryogenic temperatures. Journal of Applied Physics, 103, 064908(2008) [26] CHAN, W. K. and SCHWARTZ, J. Improved stability, magnetic field preservation and recovery speed in (Re)Ba₂Cu₃O_x-based no-insulation magnets via a graded-resistance approach. Superconductor Science and Technology, 30, 074007(2017) [27] XU, A., JAROSZYNSKI, J. J., KAMETANI, F., CHEN, Z., LARBALESTIER, D. C., VIOUCHKOV, Y. L., CHEN, Y., XIE, Y., and SELVAMANICKAM, V. Angular dependence of Jc for YBCO coated conductors at low temperature and very high magnetic fields. Superconductor Science and Technology, 23, 014003(2010) [28] DURON, J., GRILLI, F., DUTOIT, B., and STAVREV, S. Modelling the E-J relation of high-Tc superconductors in an arbitrary current range. Physica C:Superconductivity, 401, 231-235(2004) [29] IKEBE, M., FUJISHIRO, H., NAITO, T., NOTO, K., KOHAYASHI, S., and YOSHIZAWA, S. Thermal conductivity of YBCO(123) and YBCO(211) mixed crystals prepared by MMTG. Cryogenics, 34, 57-61(1994) [30] PHILLIPS, N. E. and FISHER, R. A. The specific heat of high-Tc superconductors. Progress in Low Temperature Physics, Elsevier, Amsterdam, 267-357(1992) [31] National Institute of Standards and Technology. Cryogenic Technology Resources, NIST, Gaithersburg (2020) http://cryogenics.nist.gov [32] KIM, N. H. Introduction to Nonlinear Finite Element Analysis, Springer Science+Business Media, New York, 265-366(2015) [33] GAO, P. F., CHAN, W. K., WANG, X. Z., ZHOU, Y. H., and SCHWARTZ, J. Stress, strain and electromechanical analyses of (RE)Ba₂Cu₃O_x conductors using three-dimensional/two-dimensional mixeddimensional modeling:fabrication, cooling and tensile behavior. Superconductor Science and Technology, 33, 044015(2020)

Quench characteristics and mechanical responses during quench propagation in rare earth barium copper oxide pancake coils

Quench characteristics and mechanical responses during quench propagation in rare earth barium copper oxide pancake coils

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 2

编辑推荐

Metrics

本文评价

[1]	Liyuan ZHANG, Cheng ZHANG, Xiqiao FENG, Huajian GAO. Snapping instability in prismatic tensegrities under torsion[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(3): 275-288.
[2]	甄明;蒋志刚;宋殿义;刘飞. Analytical solutions for finite cylindrical dynamic cavity expansion in compressible elastic-plastic materials [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(8): 1039-1050.