几何对称性在变压器温度场有限元法计算中的研究

变压器铁心温度场计算模型因边界条件不具有对称性而造成计算区域为电磁场计算区域的一倍.针对这一实际问题,本文分析了利用几何对称性从已有的属于一半区域的模块运行结果直接得到全区域的相应模块的运行结果的可能性,提出了实施方案和相应程序,从理论上解决了变压器电磁场计算与温度场计算之间的良好衔接问题,并且由于大量减少CPU时间而具有实际意义。

Geometrical Symmetry in Temperature Field Calculation of Transformer Core with Finite Element Method

The computation model for numerical calculation of tempcrature field of a transformer core is studied. In this model the problem domain for temperature field is exactly double of that for electromagnetic field of the same core due to the fact. that the boundary conditions on the midplanc arc asymmetrical for the former and symmetrical for the latter. To solve this practical problem, this paper analyses the possibility of directly obtaining the results of corresponding modules for whole domain from the results of modules for half domain of thermal field during operation with the help of geometrical symmetry and puts forward an implementing scheme and corresponding program. It is helpful to enhance the compability of computation programmes of thermal and electromagnetic fields in principles, and to save the CPU time on computer in practice.