西南交通大学学报2024,Vol.59Issue(4) :786-794.DOI:10.3969/j.issn.0258-2724.20230551

基于非线性电感的混合电磁铁磁力计算方法

Calculation Method of Magnetic Force of Hybrid Electromagnets Based on Nonlinear Inductance

申璐 张立伟 修三木 张孟磊 杨长青 吕尚阳
西南交通大学学报2024,Vol.59Issue(4) :786-794.DOI:10.3969/j.issn.0258-2724.20230551

基于非线性电感的混合电磁铁磁力计算方法

Calculation Method of Magnetic Force of Hybrid Electromagnets Based on Nonlinear Inductance

申璐 1张立伟 1修三木 1张孟磊 1杨长青 1吕尚阳1
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作者信息

  • 1. 北京交通大学电气工程学院,北京 100044
  • 折叠

摘要

为提高混合电磁铁磁力计算的准确性和效率,综合考虑解析法计算速度快和有限元法计算精度高的优势,提出一种基于非线性电感的混合电磁铁磁力计算方法.首先,分析混合电磁铁电感与电流的关系,建立考虑磁饱和的非线性电感模型;然后,采用等效面电流法,将2种典型的混合电磁铁结构(结构a、结构b)等效为多电磁线圈的纯电磁铁结构,进而利用能量平衡法推导出通用于串联磁路型混合电磁铁磁力表达式,其中非线性电感的参数变量由有限元仿真法拟合得到.研究结果表明:结构a和结构b利用本文所述方法得到的电磁力计算结果与传统有限元仿真结果的平均偏差为2.54%和2.37%,结构a与实验测量的平均偏差为2.63%,且与传统有限元法相比,计算效率极大提升,即本文所述方法通过较少任务的有限元仿真得到远高于现有解析公式准确性的电磁力计算结果.

Abstract

In order to improve the accuracy and efficiency of the magnetic force calculation of hybrid electromagnets,this paper took into account the advantages of fast calculation speed of the analytical method and high calculation accuracy of the finite element method and proposed a calculation method of the magnetic force of hybrid electromagnets based on the nonlinear inductance.The paper first analyzed the relationship between the inductance and current of the hybrid electromagnet and established a nonlinear inductance model considering magnetic saturation.Then,the equivalent surface current method was used to equate two typical hybrid electromagnet structures(structure a,structure b)into pure electromagnet structures with multi-electromagnetic coils.The magnetic force expression of the series magnetic circuit type hybrid electromagnet was derived by using the energy balance method,in which the parameter variables of the nonlinear inductance model were fitted by the finite element simulation method.The research results show that the average deviations between the electromagnetic force calculation results of structures a and b obtained by the proposed method and the traditional finite element simulation are 2.54%and 2.37%,and the average deviation between structure a and experimental measurement is 2.63%.Compared with the traditional finite element method,the calculation efficiency is greatly improved.In other words,the proposed method obtains electromagnetic force calculation results that are much more accurate than the existing analytical formulas through finite element simulation with fewer tasks.

关键词

混合电磁铁/非线性电感/能量平衡法/有限元法/磁力计算

Key words

hybrid electromagnet/nonlinear inductance/energy balance method/finite element method/magnetic force calculation

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基金项目

中央高校基本科研业务费专项(2022YJS153)

出版年

2024
西南交通大学学报
西南交通大学

西南交通大学学报

CSTPCD北大核心
影响因子:0.973
ISSN:0258-2724
参考文献量13
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