Calculation of two-dimensional magnetic field by finite-difference method

Yongxing Xu

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Calculation of two-dimensional magnetic field by finite-difference method

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- Calculation of two-dimensional magnetic field by finite-difference method
- Nuclear Techniques Vol. 06, Issue 1, (1983)
- 作者机构：
  
  中国科学院近代物理研究所
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Received：05 July 1980，
  
  Published：1983-02
- 稿件说明：
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Yongxing Xu. Calculation of two-dimensional magnetic field by finite-difference method[J]. Nuclear techniques, 1983, 06(1): 43-46,76,77.
DOI：

Yongxing Xu. Calculation of two-dimensional magnetic field by finite-difference method[J]. Nuclear techniques, 1983, 06(1): 43-46,76,77. DOI：

摘要

随着加速器事业及电机电器工业的发展，电磁铁的磁场分布形态越来越受到人们的关心。近年来，随着大型电子计算机的问世，就有可能用计算方法求解磁场。作为二阶椭圆型偏微分方程其解法可分为两大类，有限元素法及差分法。采用三角形单元的有限元素法

能适应边界及二种介质交界面的复杂的几何形状。由于这种特定的灵活性使得它在磁场计算中受到广泛重视。矩形网格的差分法不需要产生不均匀的三角形网格，因而上机前准备工作较小。并也不象有限元素法那样在迭代过程中要化相当长时间来重新计算方程的系数矩阵。这样，这种方法简洁、紧凑，减少了计算时间。因而它仍不失为磁场计算的一种好方法。国际上有些通用程序如NUTCRACKER

[3]

、GRACY

［3］

等就是用差分方法求解磁场的。

Abstract

The magnetic vetor potential A is used for calculation of two-dimensional magnetic field. The difference equations with irregular rectangular meshes are deduced from variational derivation

with the formula satisfying the boundary condition ∂A/∂n=0 derived naturally. Finally the simultaneous non-linear equations are solved by non-linear successive overrela-xation method. The results of calculation are rather well for the example magnet.

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references

A. M. Winslow , Proc. int. conf. magnet technol ., 1965 , p. 170 .

许永兴和马英杰， 1979年全国加速器技术交流会论文选集，p. 377 .

J. S. Colonias , Particle accelerator design: computer programs , Academic Press , 1974 .

许永兴，用差分法计算偏转磁铁二维场，中国科学院近代物理所资料，7611- F 11-11 .

S. V. Ahamed and E. A. Erdelyi , IEEE Trans. Power Apparatus & Systems PAS-85 , 61 （ 1966 ）.

P. Concus , Proc. int. conf. magnet technol ., 1965 , P. 164 .

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