中国物理B ›› 2025, Vol. 34 ›› Issue (11): 117501-117501.doi: 10.1088/1674-1056/ae00ad

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High-frequency complex permeability calculation for metallic soft magnetic particles with easy magnetization plane in non-magnetic medium

Liangrui Tan(谭梁睿)1, Donglin He(何东霖)1, Zhibiao Xu(徐志彪)1, Guowu Wang(王国武)2, Shengyu Yang(杨晟宇)1, Shaoyong Leng(冷绍勇)1, Ruilong Li(李睿龙)1, and Tao Wang(王涛)1   

  1. 1 School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China;
    2 Ninth Institute, China Electronics Technology Group Corporation, Mianyang 621000, China
  • 收稿日期:2025-06-04 修回日期:2025-07-30 接受日期:2025-08-29 发布日期:2025-11-10
  • 通讯作者: Jurong Zhang E-mail:wtao@lzu.edu.cn
  • 基金资助:
    This work was supported by the National Key R&D Program of China (Grant No. 2021YFB3501300), the 9th Research Institute of China Electronics Technology Group Corporation’s open projects (Grant No. 2024SK-002-01), and the Science and Technology Project of Gansu Province (Grant No. 22YF7GA001).

High-frequency complex permeability calculation for metallic soft magnetic particles with easy magnetization plane in non-magnetic medium

Liangrui Tan(谭梁睿)1, Donglin He(何东霖)1, Zhibiao Xu(徐志彪)1, Guowu Wang(王国武)2, Shengyu Yang(杨晟宇)1, Shaoyong Leng(冷绍勇)1, Ruilong Li(李睿龙)1, and Tao Wang(王涛)1   

  1. 1 School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China;
    2 Ninth Institute, China Electronics Technology Group Corporation, Mianyang 621000, China
  • Received:2025-06-04 Revised:2025-07-30 Accepted:2025-08-29 Published:2025-11-10
  • Contact: Jurong Zhang E-mail:wtao@lzu.edu.cn
  • About author:2025-117501-250983.pdf
  • Supported by:
    This work was supported by the National Key R&D Program of China (Grant No. 2021YFB3501300), the 9th Research Institute of China Electronics Technology Group Corporation’s open projects (Grant No. 2024SK-002-01), and the Science and Technology Project of Gansu Province (Grant No. 22YF7GA001).

摘要: Soft magnetic composites made from metallic magnetic particles with an easy magnetization plane (referred to as easy-plane metallic soft magnetic composites (SMC)) are considered ideal materials for the next generation of power electronic devices. This advantage is attributed to their ability to maintain high permeability at elevated frequencies. Despite these advantages, a definitive mathematical model that connects the high-frequency magnetic properties (e.g., effective permeability) of easy-plane metallic SMCs to the intrinsic properties of the particles is still lacking. In this work, a theoretical calculation model for the effective permeability of easy-plane metallic SMCs was formulated. This model was derived from a skin effect-corrected Landau-Lifshitz-Gilbert (LLG) equation and integrated with effective medium theory incorporating inter-particle interaction. To validate the model, we prepared samples of easy-plane Y$_{2}$Co$_{17}$ particle/PU SMCs with varying particle sizes and volume fractions. The experimental results showed a strong agreement with the calculated values. This research offers critical theoretical backing for the design and optimization of soft magnetic materials intended for high-frequency applications.

关键词: easy-plane material, high-frequency, soft magnetic composites, complex permeability, Landau-Lifshitz-Gilbert (LLG) equation

Abstract: Soft magnetic composites made from metallic magnetic particles with an easy magnetization plane (referred to as easy-plane metallic soft magnetic composites (SMC)) are considered ideal materials for the next generation of power electronic devices. This advantage is attributed to their ability to maintain high permeability at elevated frequencies. Despite these advantages, a definitive mathematical model that connects the high-frequency magnetic properties (e.g., effective permeability) of easy-plane metallic SMCs to the intrinsic properties of the particles is still lacking. In this work, a theoretical calculation model for the effective permeability of easy-plane metallic SMCs was formulated. This model was derived from a skin effect-corrected Landau-Lifshitz-Gilbert (LLG) equation and integrated with effective medium theory incorporating inter-particle interaction. To validate the model, we prepared samples of easy-plane Y$_{2}$Co$_{17}$ particle/PU SMCs with varying particle sizes and volume fractions. The experimental results showed a strong agreement with the calculated values. This research offers critical theoretical backing for the design and optimization of soft magnetic materials intended for high-frequency applications.

Key words: easy-plane material, high-frequency, soft magnetic composites, complex permeability, Landau-Lifshitz-Gilbert (LLG) equation

中图分类号:  (Dynamic properties?)

  • 75.40.Gb
85.70.-w (Magnetic devices) 85.70.Ay (Magnetic device characterization, design, and modeling)