高电压技术2025，Vol.51Issue(12)：5723-5734,12.DOI:10.13336/j.1003-6520.hve.20241115
基于磁场张量的变压器绕组电磁力研究
Research on Transformer Winding Electromagnetic Force Based on Magnetic Field Tensor
摘要
Abstract
To further improve the computational speed and accuracy of electromagnetic force in transformer windings,this paper proposes a winding electromagnetic force calculation method based on the second-order magnetic field tensor,and the electromagnetic force distribution in a 500 kV converter transformer during a short-circuit fault is adopted as a case study.First,the primary distribution pattern of the magnetic field in the winding is determined by using the first-order tensor B of the magnetic flux density in the Cartesian coordinate system,and its correlation with the electro-magnetic force F is verified.Next,the scalar distribution of B and the form of the second-order tensor are further studied.Correlation analysis reveals that the variation in the magnitude and direction of B is in complete agreement with the dis-tribution characteristics of the electromagnetic force.Subsequently,the relationship between the second-order tensor and the electromagnetic force is fitted by using the gradient boosting regression tree model,and the optimal hyperparameters are determined through Bayesian optimization.Finally,a 35 kV scaled-down transformer test platform is constructed,and the measured electromagnetic force is compared in detail with the fitted values based on short-circuit test results.The rel-ative error does not exceed 1.8%,validating the effectiveness and universality of the proposed method.This approach simplifies the calculation process and enhances computational efficiency while maintaining accuracy,providing signifi-cant reference value for transformer design and analysis with broad engineering applicability.关键词
磁场/二阶张量/单相短路/电磁力/机器学习Key words
magnetic field/second-order tensor/single-phase short circuit/electromagnetic force/machine learning引用本文复制引用
YANG Fan,GAO Sance,JIA Hongyi,WANG Pengbo..基于磁场张量的变压器绕组电磁力研究[J].高电压技术,2025,51(12):5723-5734,12.基金项目
国家重点研发计划(2021YFB2401700). Project supported by National Key R&D Program of China(2021YFB2401700). （2021YFB2401700）
