Transient multi-physics behavior of an insert high temperature superconducting no-insulation coil in hybrid superconducting magnets with inductive coupling

doi:10.1007/s10483-023-2960-6

Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (2): 255-272.doi: https://doi.org/10.1007/s10483-023-2960-6

Transient multi-physics behavior of an insert high temperature superconducting no-insulation coil in hybrid superconducting magnets with inductive coupling

Xiang KANG¹, Yujin TONG^1,2, Wei WU², Xingzhe WANG¹

1. Key Laboratory of Mechanics on Western Disaster and Environment, Ministry of Education, College of Civil Engineering and Mechanics, Key Laboratory of Special Function Materials and Structure Design of Ministry of Education, Lanzhou University, Lanzhou 730000, China;
2. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

收稿日期:2022-07-21 修回日期:2022-11-11 发布日期:2023-02-04
通讯作者: Xingzhe WANG, E-mail: xzwang@lzu.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 11932008 and 11672120) and the Fundamental Research Funds for the Central Universities of China (No. lzujbky-2022-kb01)

Transient multi-physics behavior of an insert high temperature superconducting no-insulation coil in hybrid superconducting magnets with inductive coupling

Xiang KANG¹, Yujin TONG^1,2, Wei WU², Xingzhe WANG¹

1. Key Laboratory of Mechanics on Western Disaster and Environment, Ministry of Education, College of Civil Engineering and Mechanics, Key Laboratory of Special Function Materials and Structure Design of Ministry of Education, Lanzhou University, Lanzhou 730000, China;
2. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

Received:2022-07-21 Revised:2022-11-11 Published:2023-02-04
Contact: Xingzhe WANG, E-mail: xzwang@lzu.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 11932008 and 11672120) and the Fundamental Research Funds for the Central Universities of China (No. lzujbky-2022-kb01)

摘要/Abstract

摘要： A transient multi-physics model incorporated with an electromagneto-thermomechanical coupling is developed to capture the multi-field behavior of a single-pancake (SP) insert no-insulation (NI) coil in a hybrid magnet during the charging and discharging processes. The coupled problem is resolved by means of the finite element method (FEM) for the magneto-thermo-elastic behaviors and the Runge-Kutta method for the transient responses of the electrical circuits of the hybrid superconducting magnet system. The results reveal that the transient multi-physics responses of the insert NI coil primarily depend on the charging/discharging procedure of the hybrid magnet. Moreover, a reverse azimuthal current and a compressive hoop stress are induced in the insert NI coil during the charging process, while a forward azimuthal current and a tensile hoop stress are observed during the discharging process. The induced voltages in the insert NI coil can drive the currents flowing across the radial turns where the contact resistance exists. Therefore, it brings forth significant Joule heat, causing a temperature rise and a uniform distribution of this heat in the coil turns. Accordingly, a thermally/mechanically unstable or quenching event may be encountered when a high operating current is flowing in the insert NI coil. It is numerically predicted that a quick charging will induce a compressive hoop stress which may bring a risk of buckling instability in the coil, while a discharging will not. The simulations provide an insight of hybrid superconducting magnets under transient start-up or shutdown phases which are inevitably encountered in practical applications.

关键词: hybrid superconducting magnet, high temperature superconducting (HTS) no-insulation (NI) coil, inductive coupling, multi-physics field, thermal stability

Abstract: A transient multi-physics model incorporated with an electromagneto-thermomechanical coupling is developed to capture the multi-field behavior of a single-pancake (SP) insert no-insulation (NI) coil in a hybrid magnet during the charging and discharging processes. The coupled problem is resolved by means of the finite element method (FEM) for the magneto-thermo-elastic behaviors and the Runge-Kutta method for the transient responses of the electrical circuits of the hybrid superconducting magnet system. The results reveal that the transient multi-physics responses of the insert NI coil primarily depend on the charging/discharging procedure of the hybrid magnet. Moreover, a reverse azimuthal current and a compressive hoop stress are induced in the insert NI coil during the charging process, while a forward azimuthal current and a tensile hoop stress are observed during the discharging process. The induced voltages in the insert NI coil can drive the currents flowing across the radial turns where the contact resistance exists. Therefore, it brings forth significant Joule heat, causing a temperature rise and a uniform distribution of this heat in the coil turns. Accordingly, a thermally/mechanically unstable or quenching event may be encountered when a high operating current is flowing in the insert NI coil. It is numerically predicted that a quick charging will induce a compressive hoop stress which may bring a risk of buckling instability in the coil, while a discharging will not. The simulations provide an insight of hybrid superconducting magnets under transient start-up or shutdown phases which are inevitably encountered in practical applications.

Key words: hybrid superconducting magnet, high temperature superconducting (HTS) no-insulation (NI) coil, inductive coupling, multi-physics field, thermal stability

中图分类号:

Xiang KANG, Yujin TONG, Wei WU, Xingzhe WANG. Transient multi-physics behavior of an insert high temperature superconducting no-insulation coil in hybrid superconducting magnets with inductive coupling[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 255-272.

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Transient multi-physics behavior of an insert high temperature superconducting no-insulation coil in hybrid superconducting magnets with inductive coupling

Transient multi-physics behavior of an insert high temperature superconducting no-insulation coil in hybrid superconducting magnets with inductive coupling

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