Development of 3-D Numerical Analysis and Applications

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。

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.