Research on Hybrid Finite Element Method Based on Triangle Mesh and Its Application in Fluid-heat Coupled Calculation of Transformer

LI Hao; LIU Gang; LYU Jinchao; JIN Lipeng; HU Wanjun

doi:10.13296/j.1001-1609.hva.2025.07.010

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Research on Hybrid Finite Element Method Based on Triangle Mesh and Its Application in Fluid-heat Coupled Calculation of Transformer

Research & Analysis | 更新时间：2025-06-30

- Research on Hybrid Finite Element Method Based on Triangle Mesh and Its Application in Fluid-heat Coupled Calculation of Transformer
- High Voltage Apparatus Vol. 61, Issue 7, Pages: 82-90(2025)
- 作者机构：
  
  华北电力大学河北省输变电设备安全防御重点实验室，河北　保定　071003
- 作者简介：
- 基金信息：
  
  National Key Research and Development Program of China(2021YFB2401703);Fundamental Research Funds for the Central Universities(2022MS073)
- DOI：10.13296/j.1001-1609.hva.2025.07.010
  CLC：
- Received：11 January 2025，
  
  Revised：12 March 2025，
  
  Published：16 July 2025
- 稿件说明：
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LI Hao, LIU Gang, LYU Jinchao, et al. Research on Hybrid Finite Element Method Based on Triangle Mesh and Its Application in Fluid-heat Coupled Calculation of Transformer[J]. High voltage apparatus, 2025, 61(7): 82-90.
DOI：

LI Hao, LIU Gang, LYU Jinchao, et al. Research on Hybrid Finite Element Method Based on Triangle Mesh and Its Application in Fluid-heat Coupled Calculation of Transformer[J]. High voltage apparatus, 2025, 61(7): 82-90. DOI： 10.13296/j.1001-1609.hva.2025.07.010.

摘要

在采用最小二乘有限元法及迎风有限元法分析变压器流—热耦合问题时，最小二乘有限元计算流场需要采用四边形网格，但对于含有角环、圆角等复杂结构的变压器模型，如果仅采用四边形网格进行剖分，则往往会出现网格畸变现象，此时将无法采用最小二乘有限元法计算流场。为了提高混合有限元法的适用范围，文中提出了一种基于三角形网格实现混合有限元的方法，即将三角形剖分网格处理成四边形网格，实现流场和温度场计算。为验证所提方法的有效性，文中采用混合有限元法分别对单分区模型和带有角环、静电环等复杂结构的换流变压器绕组模型进行流—热耦合计算，并与Fluent软件的仿真结果进行对比。分析结果表明文中所提处理方法可以实现含有复杂结构变压器的流—热耦合计算，进一步提高了混合有限元法解决含有复杂结构的变压器流—热耦合问题的能力。

Abstract

In case of analyzing the fluid-heat coupling of transformer by using the least squares finite element method and the windward finite element method

the least squares finite element method needs using the quadrilateral meshes for the fluid field calculation. However

for the transformer model with complex structures such as corner rings and rounded corners

the use of only quadrilateral meshes for analysis will often cause the phenomenon of mesh distortion and

at this time

the fluid field cannot be calculated by the least squares finite element method. In order to improve the applicability range of the hybrid finite element method

a method to realize the hybrid finite element based on the triangular mesh is proposed in this paper

namely

the triangular mesh is processed to a quadrilateral one to realize the calculation of the fluid field and the temperature field. For verifying the effectiveness of the proposed method

the hybrid finite element method is used in this paper to calculate the fluid-thermal coupling of the single-partition model and the converter transformer winding model with such complex structures as angle rings and electrostatic rings

and is compared with the simulation result of Fluent software. The analysis results show that the processing method proposed in this paper can realize the fluid-heat coupling calculation of the transformer with complex structure and improve further the ability of the hybrid finite element method to solve the fluid-heat coupling problem of the transformer with complex structure.

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