一种基于、V—_s－ψ模型的三维涡流场数值算法及其在远场涡流三维缺损检测中的应用

An Improved Algorithm for 3D Eddy Current Analysis Based on A .V-As-ψ Potentials

本文提出了一种改进的三维涡流场算法，即Ａ、Ｖ－Ａｓ－ψ算法，它避免了现有涡流算法中因在源区内使用双标量位所带来的磁位跃变等不利因素，具有通用、方便和精度高、实现简单等优点。文中还对旋度－旋度算子（××）下的有限元方程作了较详细的分析，并给出数值算例。结果表明，该方法对于提高精度、简化三维涡流场计算具有一定的帮助。将本文方法用于远场涡流三维缺损的有限元分析，得到了满意的结果。

in this paper an improved algorithm for 3D eddy current analysis is presented which is called A .V- As - ψ algorithm.It may avoid the “jump potential problem' for magnetic scalar potential on connecting surface between source and nonsource regions,which is produced by using two-scalar potential method in current treatment.The new method has the advantages of simplicity,high accuracy and wide application.On the other hand the analysis of finite element equations under curl ×curl× ( × ×) operator is also given in detail, and some numerical examples, including a remote field eddy current inspection,are accompanyed to show the reliability of the given method.