中文摘要：

利用FEMLAB软件模拟出在2D和3D的情况下微电磁石的电磁感应对磁场强度的影响．因为在3D界面下不能完全将实际模型重建，采用缩小实体的方法，将缩小后的模型在2D环境下模拟，可以显示出与大空间范围构造相似的仿真结果．3D仿真结果显示的大体结构及空间范围的情况与2D仿真结果大致相同，且3D仿真结果的误差在正常情况下至少为10％，因此3D与2D仿真环境下的磁体结构是可以比较的．

英文摘要：

In 2D and 3D, the magnetic flux density from a micro electromagnet used for magnetic bio-separation was simulated with FEMLAB software. Due to the complexity of the structure, a fine meshing of the 3D structure is not possible. In order to minimize the memory consumption by reducing the size of the space domain surrounding the magnetic structure and by using a relatively coarse mesh, the effects of reducing the size of the space domain and using a coarse mesh that it is possible to perform a reference simulation with a large space domain and a fine mesh, and the errors made by the approximations were quantified. 3D simulations were carried out with space domain and coarse meshing conditions identical to those in 2D simulations, and it is shown that the approximations in 3D simulations result in an underestimation of the order of 10%. The magnetic structure of 3D simulations can be compared with that of 2D simulations.