Study of the influence of uniform orthogonal background magnetic field on the equivalent inductance of toroidal magnetic cores based on magnetic equivalent circuit network method
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摘要: 电源中的磁性元件对外部磁场天然敏感，其工作特性直接影响电源的输出特性。实现背景磁场的建模是研究电源中磁性元件受强杂散磁场干扰问题的重要前提，但目前关注这一应用场景的相关研究较少，且常用的电磁场分析方法难以兼顾计算的精度和效率。基于等效磁路网络法提出了一种杂散磁场效应的分析方法，该法将研究对象等效生成磁路单元，离散形成网络模型，并通过求解等效磁路系统方程得到模型的场量分布。以一款具体的环形铁氧体磁芯为例，利用等效磁路网络法计算了环形磁芯在直流激励和均匀正交磁场下的场量分布，分析了背景磁场对其等效电感的影响。通过对比等效磁路网络法与有限元法的计算结果，验证了所提分析方法的准确性与高效性，表明了该方法适用于电源受背景磁场干扰问题的分析。Abstract: The magnetic components in power supplies are naturally sensitive to external magnetic fields, and their operating characteristics directly affect the output characteristics of the power supply. Modeling the background magnetic field is an important prerequisite for the study of the interference of magnetic components in power supplies by strong stray magnetic fields, but few studies have focused on this application scenario, and the commonly used methods for electromagnetic field analysis are difficult to balance accuracy and efficiency. In this paper, we propose a method to analyze the effects of stray magnetic fields based on the equivalent magnetic circuit network method, which discrete the research object into magnetic circuit units, equivalently form a network model, and obtain the field distribution of the model by solving the equations of the equivalent magnetic circuit system. We take a toroidal ferrite core as an example, and use the equivalent circuit network method to calculate the field distribution of the toroidal core under DC excitation and uniform orthogonal magnetic field, and analyze the effect of the background magnetic field on its equivalent inductance. By comparing the results of the equivalent circuit network method with those of the finite element method, the accuracy and efficiency of the proposed analysis method are demonstrated, and it is shown that the method is applicable to the analysis of power supplies disturbed by the background magnetic field.
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图 1 等效磁通管及其等效磁路模型
Figure 1. Equivalent flux tube and magnetic equivalent circuit model
图 5 25 ℃时环形磁芯材料的B-H曲线与μr-H曲线
Figure 5. B-H curve and μr-H curve of the material of the toroidal magnetic core at 25 ℃
图 7 环形磁芯模型的求解迭代步骤
Figure 7. Iterative steps for solving the toroidal magnetic core model
图 8 环形磁芯模型的电感值随空气域的变化曲线
Figure 8. Variation curve of inductance value of toroidal magnetic core model with air domain
图 11 环形磁芯模型的相对磁导率分布
Figure 11. Relative permeability distribution of the toroidal magnetic core model
图 12 环形磁芯模型的沿均匀正交磁场方向的磁感应强度矢量分布
Figure 12. Vector distribution of magnetic induction along the direction of the uniform orthogonal magnetic field of the toroidal magnetic core model
图 13 环形磁芯模型的磁感应强度大小分布
Figure 13. Magnetic induction intensity distribution of the toroidal magnetic core model
图 14 MECN与FEA的等效电感计算结果对比
Figure 14. Comparison of equivalent inductance calculation results between MECN and FEA
表 1 MECN和FEA的计算资源比较
Table 1. Computational resource comparison of MECN and FEA
method comparison term number of grids simulation time/s MECN 4015 1.97 FEA 112311 135 
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