Verification of Softwares for 3-D Eddy Current Analysis

开发了三维涡流分析的各种方法的软件，并对各种方法存在的问题进行了探讨。分析了用于软件验证的标准模型的磁通和涡流分布，并与实测值进行了比较。主要研究结果如下：1.各种分析方法的问题研究和软件开发（1）研究了各种方法（A-phi，A-phi-OMEGA，T-OMEGA）的有限元公式和应用中的问题。(2)边单元的计算时间比节点单元短。(3)研究了A-phi方法的规范条件和格拉德phi。(4)研究了标量位边界元法和有限元与边界元结合法的精度。将表面磁荷法推广到涡流分析。(5)研究了各向异性材料任意方向磁化曲线的表示方法。(6)研究了含运动体的三维耦合问题的瞬态分析.验证模型的磁通和涡流分布分析及与实测值的比较分析了验证模型的三维磁场和涡流分布，并对验证模型的CPU时间和存储量进行了比较。开发了用户友好的三维有限元分析前、后处理程序，建立了基于新的验证方法的磁通和涡流分布的精确测量系统。测量的三维磁通和涡流分布与计算值进行了比较。

Softwares of various methods for 3-D eddy current analysis are developed, and problems of various methods are investigated. The flux and eddy current distributions of standard models for the verification of softwares are analyzed, and they are compared with measured values. The results obtained can be summarized as follows :1. Investigation of Problems of Various Methods of Analysis and Development of Softwares(1) The finite element formulations of various methods (A-phi, A-phi-OMEGA, T-OMEGA) and problems in applying each method are investigated.(2) The CPU time for edge element is shorter than that for nodal element.(3) The gauge condition of the A-phi method and the grad phi are investigated.(4) The boundary element method using the scalar potential and the accuracy of the combination method of finite and boundary elements are investigated. The surface magnetic charge method is expanded to eddy current analysis.(5) The representation of magnetization curve of anisotropic material in an arbitrary direction is investigated.(6) 3-D transient analysis of coupled problem including moving bodies is investigated.2. Analysis of Flux and Eddy Current Distributions of Verification Models and Comparison with Measured Values3-D magnetic field and eddy current distributions of verification models are analyzed, and the CPU time and memory storage are compared each other. The user friendly 3-D pre- and post-processors for finite element analysis are developed.The accurate measuring system of flux and eddy current distributions utilizing newly developed prove method is established. The measured 3-D flux and eddy current distributions are compared with calculated values.