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

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 Y₂Co₁₇ 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.