一种外磁作用下球壳系统空间磁场的计算方法

A METHOD TO CALCULATE THE SPATIAL MAGNETIC FIELD PRODUCED BY SPHERICAL SHELL SYSTEM IN THE EXTERNAL MAGNETIC FIELD

为了快速分析球形铁磁壳体间的相互磁化影响,提出一种能够计算外磁作用下球壳系统空间磁场的镜像解算法。从外磁作用下的单个球壳与单个球体产生的磁场规律出发,通过引入磁场比例系数把球壳间的相互磁化等效为球体间的相互磁化,并根据镜像法推导出球壳间的相互磁化规律,然后计算球壳间的相互磁化产生的附加空间磁场,从而得到球壳系统空间磁场的镜像解。通过分析衰减程度随阶数变化,讨论了镜像解的计算阶数如何选择。最后仿真实验结果表明,本文镜像解的计算误差较小,且适用于不同厚度的球壳系统空间磁场的计算。

To analysis the mutual magnetization between shell ferromagnetic equipments in the field of magnetic protection of ships,an image algorithm was proposed to calculate the spatial magnetic field of spherical shell system in the external magnetic field.Starting from the magnetic field law of a single spherical shell and a single sphere under the external magnetic field,the mutual magnetization between the spherical shells is equivalent to the mutual magnetization between the spheres by introducing the ratio coefficient of magnetic field.The mathematical expressions which are used to describe one image magnetic dipole and two image magnetic charges were derived according to the image method when one spherical shell magnetizes the other spherical shell.Consequently,additional spatial magnetic field which is produced by the mutual magnetization between the spherical shells can be calculated,and an image solution can be got.The choice of the calculation order for the image solution is discussed by analyzing the change of attenuation degree with the order.Finally,the simulation results show that the image solution proposed in this paper has a very small calculation error,and is suitable for the calculation of the magnetic field of spherical shell system with different thickness.