Development of 3-D Numerical Analysis and Applications

3-D 数值分析和应用的开发

• 批准号: 04045036
• 负责人: NAKATA Takayoshi
• 金额: $ 2.88万
• 依托单位: Okayama University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for international Scientific Research
• 财政年份: 1992
• 资助国家: 日本
• 起止时间: 1992 至 1993
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04045036/
• 关键词: 3-D numerical analysis; finite element method; force calculation method; optimal design method; time-periodic finite element method; eddy current; 辺要素; 数値計算法; 非線形

Various methods for analyzing 3-D magnetic fields are developed, and calculation methods of force and torque are verified by comparing with measurement. The results obtained can be summarized as follows :1.Development of Softwares for Calculating 3-D Magnetic Field(1)The finite element formulations of various methods(A-phi, T-OMEGA) are investigated.(2)The CPU time for edge element is shorter than that for nodal element.(3)The convergence of nonlinear iteration of Newton-Raphson method is improved by introducing the nonlinear programming technique.(4)Method for analyzing eddy current in moving conductor is investigated.(5)3-D time-periodic finite element method is developed.2.Verification of Calculation Methods of Force and TorqueThe force and torque of verification models are analyzed, and the accuracies of calculation methods of force and torque are compared each other.3.Development of Optimal Design MethodOptimal design method which determines the size and shape of electrical machinery is developed by combining the finite element method and the nonlinear programming method.4.Development of 3-D Pre-and Post-ProcessorsThe user friendly 3-D mesh generator and post-processor for finite element analysis are developed.

发展了三维磁场分析的各种方法，并通过与测量结果的比较，验证了力和力矩的计算方法。1.三维磁场计算软件的开发（1）研究了各种方法（A-phi，T-OMEGA）的有限元列式。（2）边单元的计算时间比节点单元短。（3）通过引入非线性规划技术，改进了Newton-Raphson法非线性迭代的收敛性。（4）研究了运动导体中涡流的分析方法。（5）建立了三维时间周期有限元法。2.力和扭矩计算方法的验证对验证模型的力和扭矩进行了分析，3.优化设计方法的发展将有限元法与非线性有限元法相结合，提出了确定电机尺寸和形状的优化设计方法4.三维前、后处理程序的开发了用户友好的三维有限元网格生成器和后处理程序。

项目成果

中田高義,高橋則雄,藤原耕二: "A Simple Algorithm for Adaptive Refinement of Tetrahedral Meshes Combined with Edge Elements" IEEE Trans.on Magnetics. 29. 1898-1901 (1993)

Takayoshi Nakata、Norio Takahashi、Koji Fujiwara：“与边缘元素相结合的四面体网格自适应细化的简单算法”IEEE Trans.on Magnetics 29. 1898-1901 (1993)

J.L.Coulomb,G.Meunier: "Use of the Diffuse Element Method for Electromagnetic Field Computation" IEEE Transactions on Magnetics. 29. 1475-1478 (1993)

J.L.Coulomb、G.Meunier：“电磁场计算中扩散元方法的使用”IEEE 磁学汇刊。

中田高義,高橋則雄,藤原耕二: "Analysis of 3-D Nonlinear Eddy Current Problem by Time-Periodic Finite Element Method" Proceedings of CEFC. (1994)

Takayoshi Nakata、Norio Takahashi、Koji Fujiwara：“利用时间周期有限元法分析 3-D 非线性涡流问题”CEFC 论文集（1994 年）。

J.L.Coulomb: "Nonlinear Optimization Methods Applied to Magnetic Actuators Design" IEEE Trans. on Magnetics. 28. 1581-1584 (1992)

J.L.Coulomb：“应用于磁致动器设计的非线性优化方法”IEEE Trans。

K.Fujiwara and T.Nakata: "Method for Determining Relaxation Factor for Modified Newton-Raphson Method" IEEE Trans. on Magnetics. 29. 1862-1865 (1993)

K.Fujiwara 和 T.Nakata：“确定改进牛顿拉夫森法松弛因子的方法”IEEE Trans。