北京交通大学学报2025，Vol.49Issue(4)：52-62,11.DOI:10.11860/j.issn.1673-0291.20240074
轨道交通涡流制动器三维电磁模型与性能分析
Three-dimensional electromagnetic model and performance analysis of eddy current brake for rail transit
摘要
Abstract
To address the challenge of accurately calculating the braking force of eddy current brakes(ECBs)in rail transit,this study proposes a three-dimensional electromagnetic model and analyzes the effects of various parameters on braking performance.First,the expression for static air-gap magnetic flux density is derived using the equivalent magnetic circuit method and Maxwell's equations.The influence of the transverse edge effect on braking force is examined,and a correction coefficient for the conductivity of the conductor plate is derived.An equivalent eddy current density model is then estab-lished,leading to analytical expressions for both air-gap flux density and eddy current density.Subse-quently,the impact of the longitudinal end effect on braking force is analyzed,and an expression for the additional air-gap flux density is derived.Based on the relationship between eddy current density and air-gap flux density,an analytical ex-pression for braking force is obtained.Finally,a three-dimensional finite element model is constructed using the design parameters of the Shanghai TR-08 high-speed maglev train's ECB to verify the accuracy of the proposed model.The three-dimensional electromagnetic model is also used to analyze the influence of different parameters on braking perfor-mance.The results indicate that the maximum error between the three-dimensional electromagnetic model and the three-dimensional finite element model is 5.18%,with an average error of 2.35%,validating the accuracy of the three-dimensional electromagnetic model.The braking force in-creases initially and then decreases with rising speed,exhibiting four distinct characteristics in its variation curve:linearity,criticality,attenuation,and stabilization.The additional braking force increases with speed.Properly widening the conductor plate can effectively mitigates the influence of the transverse edge effect.The braking force increases with higher ampere-turns of the excita-tion winding and a wider primary core,while it first increases and then decreases with increasing conductivity and permeability of the conductor plate and with greater primary pole distance.The braking force decreases as the air-gap thickness increases,and the speed corresponding to peak braking force also increases.A thinner conductor plate slows the growth of braking force.Both in-creasing the air-gap thickness and reducing the conductor plate thickness contribute to a more stable braking performance.关键词
涡流制动器/三维电磁模型/有限元法/制动性能Key words
eddy current brake/three-dimensional electromagnetic model/finite element method/braking performance分类
交通工程引用本文复制引用
吕刚,韩天宇..轨道交通涡流制动器三维电磁模型与性能分析[J].北京交通大学学报,2025,49(4):52-62,11.基金项目
国家重点研发计划(2023YFB4301500) （2023YFB4301500）
北京市自然科学基金-小米创新联合基金(L223014) （L223014）
河南省科技研发计划联合基金重点项目(225200810018)National Key R&D Plan(2023YFB4301500) （225200810018）
Beijing Natural Science Foundation(L223014) （L223014）
Joint Fund of Henan Prov-ince Science and Technology R&D Program(225200810018) （225200810018）
