An Electric-Thermal-Solid Physical Fields Coupling Calculation Based on FELAC Platform

Mengfan Xu, Hua Li, Z. Song, Qian Xu, Xining Zhang, P. Fu
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Abstract

The Electric-Thermal-Solid physical fields coupling calculation is necessary to research the high-power electrical device. Some commercial Finite Element Method (FEM) software, such as ANSYS and COMSOL, can be used for calculating this coupling field matter. These software encapsulate solver libraries based on standard mathematical equations of electric field, thermal field and solid field, and provide coupling interface between them. However, for unusual and more complex physical fields coupling problems, whose mathematical equations are different from the standard equations, hence the commercial FEM software are hardly to get accurate calculation results. This paper proposes a new solution and more convenient method based on Finite Element Language And it’s Compiler (FELAC) for experienced professionals and researchers to deal with this solution. Firstly, the modified mathematical equations should be established. Then the weak form of equations and FELAC script files can be written directly. The FELAC will automatically generates the FEM calculation program and display simulation results. In this paper, a typical Electric-Thermal-Solid coupling analysis model is introduced as an demonstration, of which the weak form is deduced to write finite element files, and the project is established in FELAC for analysis. The simulation results are compared with COMSOL to verify the correctness of calculation.
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基于FELAC平台的电-热-固物理场耦合计算
电-热-固物理场耦合计算是大功率电气器件研究的必要条件。一些商业有限元软件,如ANSYS和COMSOL,可以用来计算这种耦合场。这些软件封装了基于电场、热场和固体场标准数学方程的求解器库,并提供了它们之间的耦合接口。然而,对于异常和更复杂的物理场耦合问题,其数学方程与标准方程不同,因此商用有限元软件很难得到准确的计算结果。本文提出了一种基于有限元语言及其编译器(FELAC)的新的解决方案和更方便的方法,供有经验的专业人员和研究人员处理该方案。首先,建立修正后的数学方程。然后可以直接编写弱形式方程和FELAC脚本文件。FELAC将自动生成有限元计算程序并显示仿真结果。本文以典型的电-热-固耦合分析模型为例,推导了该模型的弱形式,编写了有限元文件,并在FELAC中建立了分析程序。将仿真结果与COMSOL进行了比较,验证了计算的正确性。
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