一种基于目标场法的球型线圈设计方法  

AN APPROACH TO SPHERICAL COILS DESIGN BASED ON THE TARGET FIELD APPROACH

作　　者：白烨[1] 王秋良[1] 余运佳[1] 夏平畴[1] 

机构地区：[1]中国科学院电工研究所,北京100080

出　　处：《中国电机工程学报》2004年第6期132-136,共5页Proceedings of the CSEE

摘　　要：对球坐标系下的拉氏方程使用分离变量法,把球壳表面电流产生的磁场按照傅里叶—连带勒让德公式展开。可以得到磁场和电流的逆运算关系。这样就可以计算出在球壳内部产生指定的目标磁场B_Z所需的球面电流密度分布。该文发展了Turner等人提出的目标场法,可以在球型线圈内部较大的空间内产生给定形态的各种磁场,满足高能物理、医学、空间探测等方面的需要。利用该方法,该文计算了能在球内沿Z轴方向产生均匀磁场和均匀梯度磁场的电流密度分布,并用商用有限元软件进行了验证。Using the method of separation of variables and expanding the magnetic field generated by currents flowing on a sphere by means of Fourier-Legendre expansion, we can obtain the inverse relationship between the current density and magnetic field.The current density required to generate a specified target field B_Z inside the sphere may be evaluated. This approach develops Turner's target field method and can generate all kinds of z-axis specified field in large usable volumes inside the sphere, which can satisfy the requirement of high-energy physics,medical treatment,space detection etc. In this paper the surface current density that can generate uniform z-axis field and gradient field that vasty linearly along the z direction is calculated by this method.The validation of this approach is also verified by commercial finite element method software.

关 键 词：球型线圈 设计方法 目标场法 分离变量法 磁场 

分 类 号：TM55[电气工程—电器]