两类鞍形线圈产生磁场均匀性效能的研究

以毕奥-萨伐尔定律在笛卡尔直角坐标下对两种鞍形匀场线圈进行数学建模,通过对两种轴对称线圈单组的数值分析得出线圈系统在径向磁场分布的一般特征,在理论计算获得线圈最佳结构下利用Matlab优化结构参数。对比了这两类鞍形线圈在轴上和空间立方体的磁场均匀区大小及与中心磁场的相对偏差。并给出了这两种线圈磁场相对偏差ε≤1%的有效匀场空间区域,为主动屏蔽系统的线圈类型选择提供了参考依据。

Research on Magnetic Uniformity Performance of Two Kinds of Saddle Coils for Magnetic Shielding

The essay established mathematical models of two kinds of saddle shim coils under the Cartesian coordinates based on the Biot-Savart Law,the general characteristic of magnetic field distribution has been numerical analyzed in radial direction. Meanwhile, utilizing Matlab software to optimize the coils parameters under theoretical deduced optimum structure, the magnetic field uniformity area and the deviation relative to center magnetic field intensity in axis and cubic space produced by these two kinds of saddle coils are compared under the optimum magnetic uniformity .Additionally, homogeneous magnetic field effective space area of these two kinds of saddle coils is given on the condition of its relative deviation less than 1%,which provided the theoretical basis and reference for the design and research of the radial dimensional of magnetic field compensation system.