均匀外磁场中铁质球体系统磁场的镜像解析解  

The Image Analytical Solution of the Magnetic Field for Ferromagnetic Sphere System in a Uniform External Magnetic Field

作　　者：姚振宁[1] 刘大明[1] 周国华[1] 朱兴乐[1] 

机构地区：[1]海军工程大学电气工程学院,湖北武汉430033

出　　处：《电子学报》2014年第9期1665-1671,共7页Acta Electronica Sinica

基　　金：国家自然科学基金(No.51277176)

摘　　要：均匀外磁场中铁质球体系统磁场的计算一般是比较困难的,这是因为铁质球体之间的相互磁化比较难处理.从点磁荷与磁介质球系统中的镜像法出发,对磁介质球中的镜像线磁荷进行简化等效,推导出铁质球体系统中镜像磁偶极子和镜像磁荷的表达式.然后计算铁质球体之间各阶相互磁化而产生的附加磁场,进而求出铁质球体系统磁场的镜像解析解,并分析讨论了镜像解析解最大阶数的选择.仿真实验结果表明,镜像解析解的误差非常小,且适用于各种相对磁导率下铁质球体系统磁场的计算.It is very difficult to calculate the magnetic field which a ferromagnetic sphere system produces in a uniform ex-ternal magnetic field ,as a result of the difficulty in handling the mutual magnetization between the ferromagnetic spheres .The ex-pressions of image magnetic dipole and magnetic charge were derived from image method of the system that consists of the point magnetic charge and magnetic medium sphere on condition that the image linear magnetic charges were simplified .Additional mag-netic field was calculated ,which ferromagnetic spheres produce because of the mutual magnetization .The image analytical solution was obtained according to the basic expression for magnetic field of the ferromagnetic sphere system ,and the choice of the maxi-mum order is analyzed .The verified results of the simulation experiment show that the image analytical solution has a very small er-ror ,and applies to all ferromagnetic sphere systems .

关 键 词：铁质球体系统 镜像解析解 磁偶极子 磁荷 

分 类 号：TM153.1[电气工程—电工理论与新技术]