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首页> 外文学位 >THE FINITE ELEMENT ANALYSIS OF ELECTROMECHANICAL DEVICES WITH ANISOTROPIC PERMANENT-MAGNETS (GALERKIN, ELECTROMAGNETIC FIELD, PETROV-GALERKIN, SAMARIUM-COBALT, FERRITE, NONLINEAR).
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THE FINITE ELEMENT ANALYSIS OF ELECTROMECHANICAL DEVICES WITH ANISOTROPIC PERMANENT-MAGNETS (GALERKIN, ELECTROMAGNETIC FIELD, PETROV-GALERKIN, SAMARIUM-COBALT, FERRITE, NONLINEAR).

机译：具有各向异性永磁体（伽勒金，电磁场，彼得罗夫-伽勒金，SA钴，铁素体，非线性）的机电设备的有限元分析。

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摘要

Finite element analysis is applied to solve the Poisson equation for a stationary magnetic field in an anisotropic and saturable magnetic medium typically encountered in electromechanical devices with anisotropic permanent-magnets. Finite element equations were formulated using a weighted residual standard Galerkin method. The Galerkin method is proved, through the application of certain theorems found in the literature, to be more general in nature than the Rayleigh-Ritz method.;To solve the nonlinear algebraic equations resulting from the Galerkin method, a sequential direct iteration scheme is adopted in this work. The optimum underrelaxation factor, needed for direct iteration schemes, is found both theoretically and experimentally with good correlation. The various cases that arise from adjusting the underrelaxation factor are presented. Different convergence criteria, used in solving electromagnetic field problems, are surveyed. Different methods of modeling the magnetization characteristics are compared. It is concluded that the straight-line segment method provides acceptable accuracy and appreciable reduction in computation costs.;The Galerkin method is applied to a practical problem such as a permanent-magnet linear motor used in computer disc drives. It is shown, that the total stored magnetic energy is a minimum when all the finite elements have converged. Two of the convergence criteria surveyed are found to provide acceptable agreement. It is shown that with proper choice of (1) the initial estimate of the reluctivities; (2) the method of modeling the magnetization characteristics; and (3) the underrelaxation factor, a relatively fast convergence rate and appreciable reduction in computation costs can be achieved. The flux density vector is computed at different locations inside and outside the linear motor. The computed air gap flux density distribution is compared to the measured value and resulted in an agreement with acceptable experimental error.;The Galerkin method when applied to electromagnetic field problems with anisotropic and saturable media is shown to be both theoretically accurate and requiring significantly fewer algebraic manipulations.
机译：应用有限元分析来求解具有各向异性永磁体的机电设备中通常遇到的各向异性且可饱和的磁性介质中的固定磁场的泊松方程。有限元方程式是使用加权残差标准Galerkin方法制定的。通过应用文献中发现的某些定理，证明了Galerkin方法比Rayleigh-Ritz方法具有更一般的性质；为了解决由Galerkin方法产生的非线性代数方程，采用了顺序直接迭代方案在这项工作中。理论上和实验上都发现了直接迭代方案所需的最佳欠松弛因子，并且具有良好的相关性。介绍了由于调整欠松弛因子而引起的各种情况。研究了用于解决电磁场问题的不同收敛准则。比较了建模磁化特性的不同方法。得出的结论是，直线段方法提供了可接受的精度，并显着降低了计算成本。Galerkin方法应用于诸如磁盘驱动器中使用的永磁线性电动机之类的实际问题。结果表明，当所有有限元都收敛时，总的存储磁能为最小值。发现调查的两个收敛标准可以提供可接受的协议。结果表明，通过适当选择（1）磁阻率的初始估计值； （2）建模磁化特性的方法； （3）松弛因子较低，收敛速度较快，计算成本明显降低。在线性电动机内部和外部的不同位置计算磁通密度矢量。将计算出的气隙磁通密度分布与测量值进行比较，得出可以接受的实验误差。； Galerkin方法应用于各向异性和饱和介质的电磁场问题时，理论上是准确的，并且所需的代数要少得多操作。

著录项

  • 作者

    SAEB, MAGDY MOHAMMED.;

  • 作者单位

    University of California, Irvine.;

  • 授予单位 University of California, Irvine.;
  • 学科 Computer Science.
  • 学位 Ph.D.
  • 年度 1985
  • 页码 128 p.
  • 总页数 128
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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