电机三维温度场的有限公式法计算技术

发布时间：2018-09-11 14:56

【摘要】：有限公式法是一种类似有限积分技术的新型数值计算方法,其应用及理论研究仍在完善中。基于有限公式法下温度场代数场控制方程及其三维离散格式,该文对通用化程序编制中的对流散热边界条件简化处理、基于单元分析的模块化程序设计、计算数据前后处理等问题做了相关工作。讨论了有限公式法在三维复杂求解域问题中适用性与计算性能,并从数值计算角度验证了线性插值下有限公式法具有二阶计算精度。最后,结合3台不同结构、冷却方式的永磁电机三维温度场分析来说明有限公式法在复杂求解域问题上计算的准确性。就文中仿真算例而言,在相同网格、求解自由度以及求解迭代算法下,有限公式法比有限元法节约计算时间在12%~71.5%,两者计算占用内存基本一致。
[Abstract]:The finite formula method is a new numerical method similar to the finite integral technique, and its application and theoretical research are still in the process of perfection. Based on the algebraic field control equation of temperature field under finite formula method and its three dimensional discrete scheme, this paper simplifies the boundary conditions of convection and heat dissipation in general programming, and designs a modular program based on element analysis. Some related work has been done before and after processing the data. The applicability and computational performance of the finite formula method in 3D complex domain problems are discussed, and the second order accuracy of the finite formula method under linear interpolation is verified from the point of view of numerical calculation. Finally, the accuracy of the finite formula method in solving complex domain problems is illustrated by three dimensional temperature field analysis of three permanent magnet motors with different structures and cooling methods. As far as the simulation example is concerned, under the same grid, the degree of freedom and the iterative algorithm, the calculation time of finite formula method is 12 / 71.5 than that of the finite element method, which is basically the same as the memory occupied by the two methods.
【作者单位】：沈阳工业大学国家稀土永磁电机工程技术研究中心;河北电机股份有限公司;
【基金】：国家自然科学基金(51677122,51307111) 国家重点研发计划(2016YFB0300503) 国家科技支撑计划项目(2013BAE08B00)~~
【分类号】：TM301

【参考文献】