TY - JOUR
T1 - A Stable FEM-BEM Hybrid Method for the Numerical Simulation of Magnetomechanical Coupled Problem with Both Inductive and Conductive Current Excitations Aiming to Application to Tokamak In-Vessel Structures
AU - Li, Xudong
AU - Pei, Cuxiang
AU - Xie, Shejuan
AU - Chen, Zhenmao
AU - Uchimoto, Tetsuya
AU - Takagi, Toshiyuki
N1 - Funding Information:
Manuscript received December 4, 2019; revised April 2, 2020; accepted June 22, 2020. Date of publication July 9, 2020; date of current version August 11, 2020. This work was supported in part by the National Key Research and Development Program of China under Grant 2017YFF0209703, in part by the National Science Foundation of China under Grant 11927801 and Grant 51407132, and in part by the Fundamental Research Funds for the Central Universities under Grant xjj2018211. The review of this article was arranged by Senior Editor E. Surrey. (Corresponding author: Zhenmao Chen.) Xudong Li, Cuxiang Pei, Shejuan Xie, and Zhenmao Chen are with the State Key Laboratory for Strength and Vibration of Mechanical Structures, Shaanxi Engineering Research Center for NDT and Structural Integrity Evaluation, Xi’an Jiaotong University, Xi’an 710049, China (e-mail: chenzm@xjtu.edu.cn).
Publisher Copyright:
© 1973-2012 IEEE.
PY - 2020/8
Y1 - 2020/8
N2 - The in-vessel structures of tokamak devices sustain large electromagnetic force due to both induced eddy current and halo current. The coupling effect between the electromagnetic field and the mechanical vibration of the structures has a significant influence on the structural dynamic response. To assess the coupled mechanical behavior of in-vessel structures, a numerical method was proposed in this article based on the hybrid finite-element method and boundary-element method. The plasma current and halo current were modeled as a series of current filaments and a pair of current source-sink, respectively. To deal with the nonlinearity due to the coupling term of the magnetic flux density and the velocity, the block Gauss-Seidel iterative algorithm was adopted in the numerical method. The proposed numerical method was first validated against the experimental data of the TEAM 16 benchmark problem and then applied to the dynamic analysis of a simplified halo current problem of typical tokamak structures. The numerical method was proved both effective and numerically stable for the analysis of magnetomechanical coupled problem based on the reasonable simulation results.
AB - The in-vessel structures of tokamak devices sustain large electromagnetic force due to both induced eddy current and halo current. The coupling effect between the electromagnetic field and the mechanical vibration of the structures has a significant influence on the structural dynamic response. To assess the coupled mechanical behavior of in-vessel structures, a numerical method was proposed in this article based on the hybrid finite-element method and boundary-element method. The plasma current and halo current were modeled as a series of current filaments and a pair of current source-sink, respectively. To deal with the nonlinearity due to the coupling term of the magnetic flux density and the velocity, the block Gauss-Seidel iterative algorithm was adopted in the numerical method. The proposed numerical method was first validated against the experimental data of the TEAM 16 benchmark problem and then applied to the dynamic analysis of a simplified halo current problem of typical tokamak structures. The numerical method was proved both effective and numerically stable for the analysis of magnetomechanical coupled problem based on the reasonable simulation results.
KW - Finite-element method and the boundary-element method (FEM-BEM)
KW - Gauss-Seidel iteration
KW - halo current
KW - magneto-mechanical coupling
KW - tokamak structures
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U2 - 10.1109/TPS.2020.3005955
DO - 10.1109/TPS.2020.3005955
M3 - Article
AN - SCOPUS:85089875302
SN - 0093-3813
VL - 48
SP - 2902
EP - 2907
JO - IEEE Transactions on Plasma Science
JF - IEEE Transactions on Plasma Science
IS - 8
M1 - 9137718
ER -