Adjoint-Based Adaptive Mesh Refinement Method for Optimizing Computational Efficiency of Transformer Internal Temperature Simulation Models

LI Yuan; CHEN Zhiqiu; LIU Zhihao; GAO Yiran; LIU Jiefeng; ZHANG Guanjun

doi:10.7652/xjtuxb202603016

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Adjoint-Based Adaptive Mesh Refinement Method for Optimizing Computational Efficiency of Transformer Internal Temperature Simulation Models

更新时间：2026-03-09

- Adjoint-Based Adaptive Mesh Refinement Method for Optimizing Computational Efficiency of Transformer Internal Temperature Simulation Models
- Journal of Xi'an Jiaotong University Vol. 60, Issue 3, Pages: 166-174(2026)
- 作者机构：
  
  西安交通大学电气工程学院，710049，西安
  广西大学电气工程学院，530004，南宁
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202603016
  CLC： TM411
- Received：07 June 2025，
  
  Published：10 March 2026
- 稿件说明：
移动端阅览
LI Yuan, CHEN Zhiqiu, LIU Zhihao, et al. Adjoint-Based Adaptive Mesh Refinement Method for Optimizing Computational Efficiency of Transformer Internal Temperature Simulation Models[J]. Journal of Xi'an Jiaotong University, 2026, 60(3): 166-174.
DOI：

LI Yuan, CHEN Zhiqiu, LIU Zhihao, et al. Adjoint-Based Adaptive Mesh Refinement Method for Optimizing Computational Efficiency of Transformer Internal Temperature Simulation Models[J]. Journal of Xi'an Jiaotong University, 2026, 60(3): 166-174. DOI： 10.7652/xjtuxb202603016.

摘要

针对变压器热-流场耦合仿真计算效率低的问题，提出一种基于伴随网格自适应剖分的优化方法。首先，以110 kV油浸自冷式变压器作为研究对象，建立其二维全尺寸闭环热-流场仿真模型，采用有限体积法求解温度场与油流场分布。然后，基于伴随误差估计方法构建变压器热-流场误差指示器，制定网格自适应剖分策略，实现仿真区域网格的自适应加密。最后，将网格自适应剖分方法应用于三角形和四边形主导网格的热-流场数值计算模型，对比验证所提方法的有效性及适用性。结果表明：伴随网格自适应剖分方法可在保证计算准确性的基础上显著提高热-流场耦合仿真模型的计算效率，仿真用时减少50%以上，且计算误差不超过6%，适用于不同类型的二维网格，对三角形网格的优化效果尤佳。

Abstract

To address the low computational efficiency in thermal-fluid coupling simulations of transformers

an optimization method based on adjoint-based adaptive mesh refinement is proposed.Firstly

a 110 kV oil-immersed self-cooled transformer is investigated

and a twodimensional full-scale closed-loop thermal-fluid coupling simulation model is established.The finite volume method is employed to solve the temperature field and oil flow field distributions. Then

an error indicator for the thermal-fluid coupling of the transformer is constructed based on the adjoint error estimation method

and a mesh adaptive refinement strategy is formulated to achieve adaptive mesh encryption in the simulation region.Finally

the adaptive mesh refinement method is applied to thermal-fluid coupling numerical calculation models dominated by triangular and quadrilateral meshes

and the effectiveness and applicability of the proposed method are verified through comparative analysis.The results show that the adjoint-based adaptive mesh refinement method significantly improves the computational efficiency of thermal-fluid coupling simulation models while ensuring calculation accuracy

reducing simulation time by over 50% with a computational error no more than 6%.This method is applicable to different types of twodimensional meshes

with particularly notable optimization effects for triangular meshes.

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