Analytic calculation of magnetic force between two current-carrying coils

doi:10.1007/s10483-015-1924-9

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (4): 475-486.doi: https://doi.org/10.1007/s10483-015-1924-9

Analytic calculation of magnetic force between two current-carrying coils

Xiaofan GOU, Jian QIN

College of Mechanics and Materials, Hohai University, Nanjing 210098, China

收稿日期:2014-05-09 修回日期:2014-08-07 出版日期:2015-04-01 发布日期:2015-04-01
通讯作者: Xiaofan GOU E-mail:xfgou@hhu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11372096) and the Program for Research Fund for the Doctoral Program of Higher Education of China

Analytic calculation of magnetic force between two current-carrying coils

Xiaofan GOU, Jian QIN

College of Mechanics and Materials, Hohai University, Nanjing 210098, China

Received:2014-05-09 Revised:2014-08-07 Online:2015-04-01 Published:2015-04-01
Contact: Xiaofan GOU E-mail:xfgou@hhu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11372096) and the Program for Research Fund for the Doctoral Program of Higher Education of China

摘要/Abstract

摘要： Current-carrying coils are basic elements in electromagnetic equipments, for example, in high field magnets from high temperature superconducting wires or tapes. In the assembly of these systems and their current-carrying operation, unavoidable mis-alignment and shift from the original position can be induced by disturbances such as the imbalance of magnetic force due to safety problems. For two current-carrying coils with non-coplanar axes, the analytic expression of the magnetic force between the two coils is presented according to the rule of Ampere circulation and the Biot-Savart law. Based on the expression, the dependence of the magnetic force on the size and the relative position of each other is further investigated, and the variation of the magnetic force is obtained with the above parameters.

关键词: analytic calcula-tion, magnetic force, current-carrying coil, non-coplanar axis

Abstract: Current-carrying coils are basic elements in electromagnetic equipments, for example, in high field magnets from high temperature superconducting wires or tapes. In the assembly of these systems and their current-carrying operation, unavoidable mis-alignment and shift from the original position can be induced by disturbances such as the imbalance of magnetic force due to safety problems. For two current-carrying coils with non-coplanar axes, the analytic expression of the magnetic force between the two coils is presented according to the rule of Ampere circulation and the Biot-Savart law. Based on the expression, the dependence of the magnetic force on the size and the relative position of each other is further investigated, and the variation of the magnetic force is obtained with the above parameters.

Key words: current-carrying coil, magnetic force, analytic calcula-tion, non-coplanar axis

中图分类号:

O302

Xiaofan GOU;Jian QIN. Analytic calculation of magnetic force between two current-carrying coils[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(4): 475-486.

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Analytic calculation of magnetic force between two current-carrying coils

Analytic calculation of magnetic force between two current-carrying coils

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