应用渐近边界条件技术计算螺管线圈的电感与磁场分布

Asymptotic Boundary Conditions for Finite Element Analysis of Flux Distribution and Inductance of the Spiral Coil

采用一种新的边界条件处理技术——渐近边界条件技术，计算了螺管线圈的电感与磁场分布．结果表明：（１）采用该技术后，计算结果具有较高的精度，且同时能够显著地减小求解区域，大大地降低了计算工作量；（２）该技术保留了有限元法的显著优点——系数矩阵的高度稀疏性和对称性；（３）在同一人工边界上，采用的渐近边界条件的阶数越高，解的精度相应地就越高．

This paper presents a finite element formulation for the solution of flux distribution and inductance of the spiral coil using a new technique——asymptotic boundary condition technique (ABC). The numerical results show that (1) ABC technique yields more accurate results and can reduce the region of artificial boundary as much as possible, so the calculation efficiency can be improved dramatically. (2) ABC technique preserves the sparsity and symmetry of the finite element matrix. (3) Higher order ABC is more accurate than the lower order one on the same boundary.