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高频交流环形磁芯电感电磁场数值分析与设计优化

Electromagnetic Field Numerical Analysis and Design Optimization of a High-Frequency AC Toroidal-Core Inductor

  • 摘要: 本文选取环形磁芯交流电感作为研究对象,针对几十千赫兹至几百千赫兹工作条件下磁芯饱和、绕组高频损耗及线圈设计约束等问题,采用 MATLAB 二维网格化数值计算与磁路近似方法,分析电流大小和激励频率对磁芯与线圈设计的影响。模型在环形磁芯二维截面上计算磁通密度分布,并结合趋肤深度、交流电阻比、铜损和磁芯损耗进行参数扫描。仿真结果表明,在课程作业假设参数下,原始设计 10 A 时 = 0.349 T,接近 = 0.35 T,存在较高饱和风险;通过等效气隙降低等效磁导率后,改进设计 10 A 时 降至 0.204 T,饱和风险明显降低。同时,频率升高会导致铜线趋肤深度下降、 增大,绕组铜损和磁芯损耗随之增加。结果说明,高频大电流交流电感设计需综合考虑磁芯饱和、线圈高频效应、损耗和散热约束。

     

    Abstract: This paper selects a toroidal-core AC inductor as the research object. Focusing on magnetic core saturation, high-frequency winding loss, and coil design constraints under operating frequencies from tens of kilohertz to several hundred kilohertz, a MATLAB-based two-dimensional grid numerical calculation method combined with magnetic circuit approximation is adopted to analyze the influence of current magnitude and excitation frequency on the design of the magnetic core and coil. The model calculates the magnetic flux density distribution on the two-dimensional cross-section of the toroidal core, and carries out parameter scanning by considering skin depth, AC-to-DC resistance ratio, copper loss, and core loss. The simulation results show that, under the assumed parameters for this coursework, the maximum flux density of the original design reaches at 10 A, which is close to , indicating a relatively high saturation risk. After reducing the effective permeability by introducing an equivalent air gap, the maximum flux density of the improved design decreases to at 10 A, and the saturation risk is significantly reduced. Meanwhile, an increase in frequency leads to a decrease in the skin depth of the copper wire, an increase in and increases in both winding copper loss and core loss. The results indicate that the design of high-frequency high-current AC inductors should comprehensively consider magnetic core saturation, high-frequency effects in the coil, losses, and thermal constraints.

     

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