High Performance Finite Element Algorithm for Electro-thermal Coupling Field Based on High Order Elements

2022 IEEE 5th International Conference on Electronics Technology (ICET) Pub Date : 2022-05-13 DOI:10.1109/icet55676.2022.9825264

Tianyu Xiong, Xiaosong Zhu, Yuan Fang, Shi Long

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Abstract

The numerical calculation and analysis of electrothermal coupling field play an important role in fault analysis and structural optimization of power equipment. However, the traditional electrothermal coupling finite element algorithm has poor calculation accuracy and consumes a long time. In this paper, a high-performance finite element algorithm for electro-thermal coupling field based on high order element is proposed. The mathematical model of electro-thermal coupling is established, and the high-order grid elements with better approximation effect are generated to improve the calculation accuracy. At the same time, the correlation between each step of the algorithm is analyzed, and an efficient electro-thermal coupling algorithm based on GPU is designed to improve the calculation accuracy. The computational performance of the algorithm is analyzed through a numerical case. The results show that the algorithm significantly improves the calculation accuracy, and its calculation efficiency can reach about 50 times of the traditional serial finite element algorithm.

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基于高阶元的电热耦合场的高性能有限元算法

电热耦合场的数值计算与分析对电力设备的故障分析和结构优化具有重要意义。然而，传统的电热耦合有限元算法计算精度差，耗时长。本文提出了一种基于高阶元的高性能电热耦合场有限元算法。建立了电热耦合数学模型，生成了近似效果较好的高阶网格元，提高了计算精度。同时，分析了算法各步之间的相关性，设计了一种基于GPU的高效电热耦合算法，提高了计算精度。通过一个算例分析了该算法的计算性能。结果表明，该算法显著提高了计算精度，其计算效率可达到传统串行有限元算法的50倍左右。

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2022 IEEE 5th International Conference on Electronics Technology (ICET)

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