球壳电流系统磁感应强度级数解  

Series Expression of Magnetic Flux Density of Spherical Shell and Current System

作　　者：肖存龙[1] 肖昌汉[1] 周国华[1] 刘胜道[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：《武汉理工大学学报（信息与管理工程版）》2013年第4期465-467,472,共4页Journal of Wuhan University of Technology：Information & Management Engineering

基　　金：国家自然科学基金资助项目(51107145)

摘　　要：针对目前大多数电磁场问题解析解的表示均为磁场的矢量位函数,难以满足磁感应强度精确解的应用需求的问题,推导了球坐标系轴对称条件下的磁感应强度的级数解通式,并以球型线圈的静磁场问题为例,验证了解析式的正确性,最后应用推导出的解析通式分析了铁质球壳对电流线圈磁场的影响。At present, most analytical solution of electromagnetic field is the vector potential of magnetic field. It is difficult to meet the application requirements of magnetic flux density exact solution. To solve this problem, according to the associate legend- re polynomial correlation properties, magnetic flux density general analytical expression of axial symmetrical object was deduced in spherical coordinate system. Then the spherical coils system electromagnetic problem was taken as an example to verify the cor- rectness of the infinite series expression. Finally, the effects of iron spherical shell system on magnetostatic field of ring current coil were discussed through the general analytical expression.

关 键 词：轴对称 解析解通式 连带勒让德多项式 磁感应强度 

分 类 号：O441[理学—电磁学]