有限公式温度场计算技术及其在永磁电机分析中的应用

Thermal Analysis Techniques of Finite Formulation Method and the Application on Permanent Magnet Machines

永磁电机的温升直接关系电机性能指标和经济指标,对电机温度场的准确计算是设计工作中的要点。该文从有限公式法的基本原理出发,研究任意多面体网格下温度场各类边界的有限公式实现方法,建立对流传热边界的高精度有限公式数学模型。针对具有解析精确解的二维基准散热问题,在同一套网格下分别应用原边界模型和高精度改进边界模型计算导热体温升分布,验证改进模型的可靠性和精确性。应用有限公式温度场计算技术,计算一台2.1k W非晶合金永磁电机的三维温度场。以电机温升实验测量值为基准,对比有限公式法、有限元法在同样网格剖分下的计算精度,验证了电机三维温度场有限公式计算技术的可靠性和计算结果的准确性,对非晶合金永磁电机热分析具有一定的参考意义。

The working performance of a permanent magnet synchronous machine(PMSM) is directly decided by the temperature rise distribution, thus making thermal analysis a key point in machine design. According to the fundamental principles of the finite formulation method(FFM) and the heat transfer theory, the implementation methods of the common boundary conditions in thermal analyses were presented. A FFM based high-precision model of the convective heat transfer boundary was established and illustrated in this paper. The temperature field of a 2 D standard compute instance was analyzed by the original convective model and the modified one exhibited in this paper. Calculation Errors were discussed that confirmed the study. The 3-D temperature field distribution of a 2.1 k W PMSM with an amorphous alloy(AA) core was analyzed by FFM and FEM with the same set of grids. Through the analyses between numerical results and the experimental ones, the superiority and the reliability of the FFM based thermal analysis techniques were confirmed. This paper has a reference value for the thermal analyses of PMSMs utilizing AA cores.