中国电机工程学报2024，Vol.44Issue(13)：5431-5440,后插1,11.DOI:10.13334/j.0258-8013.pcsee.230524
基于Maxwell方程和R-L分数阶导数的高频激励条件下纳米晶材料磁滞特性预测模型
Hysteresis Characteristics Prediction Method of Nanocrystalline Materials Under High-frequency Excitation Based on Maxwell's Equation and R-L Fractional Derivative
摘要
Abstract
Accurate prediction of hysteresis characteristics of nanocrystalline at high frequency is of great significance to the optimization design of magnetic components of power electronic transformers.Based on Maxwell's equation and Riemann-Liouville(R-L)fractional derivative,a prediction method of hysteresis loop considering skin effect is established in this paper.First,based on Maxwell's equation,the prediction method of eddy current considering the skin effect is deduced and established.Second,in response to the problem that existing methods for static hysteresis characteristics and excess effects do not consider the influence of skin effect,based on the R-L fractional derivative,a prediction method of static hysteresis and excess effects considering skin effect is established.A parameter calculation method for damping coefficient ρ and non-integer order n is proposed.Finally,based on the magnetic field separation theory,a prediction method for the magnetic properties of nanocrystalline is established at high frequency.Compared with the measured results of nanocrystalline 1K107B at high frequency,the effectiveness of the proposed method is verified.Compared with the traditional method,it enhances prediction accuracy by 35.8%.关键词
Maxwell方程/Riemann-Liouville(R-L)分数阶导数/趋肤效应/磁滞回线Key words
Maxwell's equation/Riemann-Liouville(R-L)fractional derivative/skin effect/hysteresis loop分类
信息技术与安全科学引用本文复制引用
姬俊安,赵志刚,张时,杜振斌,翟志强,贾慧杰..基于Maxwell方程和R-L分数阶导数的高频激励条件下纳米晶材料磁滞特性预测模型[J].中国电机工程学报,2024,44(13):5431-5440,后插1,11.基金项目
国家自然科学基金项目(面上基金项目)(52077053). Project Supported by National Natural Science Foundation of China(General Program)(52077053). （面上基金项目）
