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Development of Methods for Analyzing Eddy Currents in Moving Conductors and Verification

移动导体涡流分析方法的开发和验证

基本信息

批准号：
06452201
负责人：
NAKATA Takayoshi
金额：
$ 3.58万
依托单位：
Okayama University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (B)
财政年份：
1994
资助国家：
日本
起止时间：
1994 至 1995
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-06452201/
关键词：
Velocity Term Eddy Current Moving Coordinate System Fixed Coordinate System Finite Element Method Magnetic Vector Potential Electric Scalar Potential ICCG method 過電流三次元有限要素法電磁スカラポテンシャル風上有限要素法

项目摘要

The methods for analyzing 3-D eddy currents in moving conductors are developed and the various methods are compared with each other. The acceleration of the ICCG method which is used as solver for large linear equation systems is also investigated. The results obtained can be summarized as follows :1.Development of Methods for Analyzing Eddy Currents in Moving ConductorsThe methods for analyzing magnetic circuits with moving conductors are systematically classified and the preferable method for each circuit is shown. The treatment of eddy current term using moving and fixed coordinate systems are investigated and the software is developed.2.Comparison of Various MethodsThe methods using moving and fixed coordinate systems are compared with each other from the standpoints of accuracy, memory requirement and CPU time by using a verification model. The results obtained can be described as follows :(1) In the transient analysis, the moving coordinate system is superior from the standpoints of accuracy, computer storage and CPU time.(2) In the dc and ac steady state analysis for large Peclet numbers, spurious oscillations occur when using a fixed coordinate system with ordinary Galerkin finite element method. The solution using a moving coordinate system, however, can be obtained with a high reliability. The optimal value of the time step for the moving coordinate system is also clarified.3.Acceleration of Solving Large Linear Equation SystemsThe algorithm for the calculation of the distribution of non-zero entries in ICCG method is improved in order to accelerate the computation. It is shown that the convergence characteristics of the ICCG method for the analysis using magnetic vector potential and edge elements can be considerably massively improved by introducing the electric scalar potential.

提出了运动导体中三维涡流的分析方法，并对各种方法进行了比较。研究了ICCG法在求解大型线性方程组中的加速问题。所得结果可总结如下：1。运动导体中涡流分析方法的发展对运动导体磁路的分析方法进行了系统的分类，并给出了每种磁路的优选方法。研究了动坐标系和定坐标系下涡流项的处理方法，并开发了相应的软件。各种方法的比较通过验证模型，从精度、内存需求和CPU时间三个方面对运动坐标系和固定坐标系下的方法进行了比较。结果表明：(1)在瞬态分析中，运动坐标系在精度、计算机存储量和CPU时间上均优于运动坐标系。(2)在大Peclet数的直流和交流稳态分析中，普通伽辽金有限元法在固定坐标系下会产生杂散振荡。而采用运动坐标系的解则具有较高的可靠性。明确了运动坐标系下时间步长的最优值。求解大型线性方程组的加速为了提高计算速度，对ICCG法中非零项分布的计算算法进行了改进。结果表明，引入电标量势后，采用磁矢量势和边元分析的ICCG方法的收敛特性得到了显著改善。