基于矢量有限元的变压器漏磁降阶算法研究

田淞铂; 王宇; 高吉普; 韩雪; 李小彬

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基于矢量有限元的变压器漏磁降阶算法研究

更新时间：2026-01-12

- 基于矢量有限元的变压器漏磁降阶算法研究
- Research on reduced order algorithm for transformer leakage flux based on vector finite element method
- 电力大数据 2025年第10期
- 作者机构：
  
  贵州电网有限责任公司电力科学研究院
- 作者简介：
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- 纸质出版：2025
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田淞铂, 王宇, 高吉普, 等. 基于矢量有限元的变压器漏磁降阶算法研究[J]. 电力大数据, 2025,(10).

田淞铂, 王宇, 高吉普, et al. Research on reduced order algorithm for transformer leakage flux based on vector finite element method[J]. 2025, (10).
田淞铂, 王宇, 高吉普, 等. 基于矢量有限元的变压器漏磁降阶算法研究[J]. 电力大数据, 2025,(10). DOI：

田淞铂, 王宇, 高吉普, et al. Research on reduced order algorithm for transformer leakage flux based on vector finite element method[J]. 2025, (10). DOI：

摘要

为了解决变压器磁场仿真计算长期依赖国外商业软件且计算效率低的问题，提出了一种基于矢量有限元的变压器三维磁场全阶算法，并基于本征正交分解方法（Proper Orthogonal Decomposition

POD）构建了变压器磁场的降阶模型。以220kV单相自耦变压器为研究对象，通过对比自主研发全阶模型、COMSOL商业软件仿真计算结果，验证了全阶算法的准确性。在全阶模型的基础上，利用POD方法对全阶模型的计算结果进行特征提取，选取出合适的正交基，实现了全阶模型的降阶。通过220kV变压器三维漏磁计算模型进行了降阶算法的对比验证，研究结果表明:降阶模型计算结果的相对误差与全阶模型相比不超过6%，计算效率提升了17.35倍，验证了本文方法的有效性和可行性。研究结果可为变压器三维漏磁的快速计算技术开发与应用提供方法和途径。

Abstract

To address the long-standing reliance on foreign commercial software for transformer magnetic field simulation calculations and the resulting low computational efficiency

a full-order algorithm for three-dimensional transformer magnetic fields based on vector finite elements is proposed. A reduced-order model of the transformer magnetic field is constructed using the Proper Orthogonal Decomposition (POD) method. Using a 220kV single-phase autotransformer as the study subject

the accuracy of the full-order algorithm was validated by comparing results from the independently developed full-order model with those from COMSOL commercial software simulations. Building upon the full-order model

the POD method was employed to extract features from its computational results

selecting appropriate orthogonal bases to achieve model order reduction. The reduced-order algorithm was validated through comparative analysis using a 3D leakage flux computational model of a 220kV transformer. Results demonstrate that the relative error of the reduced-order model"s calculations does not exceed 6% compared to the full-order model

while computational efficiency improves by 17.35 times

confirming the effectiveness and feasibility of the proposed method. These findings provide methodologies and pathways for developing and applying rapid computational techniques for transformer 3D leakage flux analysis.

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references

贺兴,艾芊,朱天怡,等．数字孪生在电力系统应用中的机遇和挑战[J]．电网技术,2020,44(06):2009-2019.

WANG WD, LIU ML, LI JH. Research and realization of virtual-real control of robot system for off-heap detector assisted installation based on digital twin[J]. IEEE Journal of Radio Frequency Identification, 2022, 6: 810-814.

CHENG TS, DUAN T, DINAVAHI V. Real-time cyber-physical digital twin for low earth orbit satellite constellation network enhanced wide-area power grid[J]. IEEE Open Journal of the Industrial Electronics Society, 2024, 5: 1029-1041.

王青于,楚智霖,程建伟,等．换流变阀侧套管极性反转暂态电场模型降阶[J]．高电压技术,2023,49(06):2420-2431.

黄天超,王泽忠,李宇妍．换流变压器直流偏磁对油箱涡流损耗的影响[J]．电工技术学报,2023,38(08):2004-2014．HUANG Tianchao, WANG Zezhong, LI Yuyan. The influence of converter transformer DC bias on eddy current loss of tank[J]. Transactions of China Electrotechnical Society, 2023, 38(08): 2004-2014.

林晓明,陈则徐,陈宇,等．基于“磁-热-流”耦合的三绕组有载调压变压器涡流损耗与温度场仿真分析[J]．变压器,2023,60(06):20-24.

高勇,王杰,毛雅茹,等．10kV油浸式配电变压器过电流温升试验案例研究[J]．电力大数据,2023,26(11):61-69.

荆澜涛,董雪情,杨超,等．面向数字孪生应用的变压器温度场有限元降阶建模方法研究[J]．高电压技术,2023,49(06):2408-2419.

SCHULTSCHIK A, FARLE O, DYCZIJ R. Model order reduction method for the finite-element simulation of inhomogeneous waveguides[J]. IEEE Transactions on Magnetics, 2008, 44(6): 1394-1397

刘刚,荣世昌,武卫革,等．基于混合有限元法和降阶技术的油浸式变压器绕组2维瞬态流-热耦合场分析[J]．高电压技术,2022,48(05):1695-1705.

LAW Y M, TAGEDDINE D, DUFOUR S. 3-D Numerical modeling for the magnetization of superconductors using a local discontinuous galerkin finite element method[J]. IEEE Transactions on Magnetics, 2019, 55(8): 1-11.

ARABSALMANABADI B, ARAB H, AMADOR VHG, et al. A three-dimensional discontinuous galerkin time-domain finite element method for electromagnetic modeling of wireless power transfer coils[J]. IEEE Open Journal of the Industrial Electronics Society, 2021, 2: 360-371.

ANTONOPOULOS DC, DOUGALIS VA. Galerkin-finite element methods for the shallow water equations with characteristic boundary conditions[J]. IMA Journal of Numerical Analysis, 2017, 37(1): 266-295.

MONTIER L, HENNERON T, GOURSAUD B, et al. Balanced proper orthogonal decomposition applied to magnetoquasi-static problems through a stabilization methodology[J]. IEEE Transactions on Magnetics, 2017, 53(7): 1-10.

LI RY, CHENG P, LAN H. Surrogate modeling of field performance analysis and optimization via hierarchical proper orthogonal decomposition and adaptive sampling radial basis function[J]. IEEE Transactions on Transportation Electrification, 2024, 10(4): 7695-7708.

NICOLINI JL, TEIXEIRA FL. Reduced-order modeling of advection-dominated kinetic plasma problems by shifted proper orthogonal decomposition[J]. IEEE Transactions on Plasma Science, 2021, 49(11): 3689-3699.

刘刚,胡万君,郝世缘,等．包含快照选择策略的POD-QDEIM油浸式变压器绕组瞬态温升降阶算法研究及其实验验证[J]．中国电机工程学报,2024,44(12):4998-5011.

GUO JW, LIU P, DINAVAHI V, et al. Model order reduction for real-time fpga-based finite element transient simulation of three-phase transformer[J]. IEEE Open Access Journal of Power and Energy, 2022, 9: 328-339.

张重远,刘迪程,高成龙,等．基于Twin Builder的110kV油浸式变压器3维磁场降阶模型及损耗分析[J]．高电压技术,2024,50(03):941-951.

AHAGON A, KAMEARI A. New types of second-order edge element by reducing edge variables for electromagnetic field analysis[J]. IEEE Transactions on Magnetics, 2017, 53(6): 1-4.田淞铂(1998),男,硕士,工程师,主要从事电力设备数值计算与模型降阶技术研究。