基于改进Preisach模型的软磁复合材料复杂励磁损耗计算方法

doi:10.19595/j.cnki.1000-6753.tces.250423

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (6267 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract Soft magnetic composites (SMCs) have shown significant potential for applications in key magnetic components of power electronic converters (e.g., DC inductors, high-frequency transformers) owing to their distributed air-gap structure and high saturation density. However, the loss characteristics of such materials under complex excitation states (DC bias, non-sinusoidal excitation) are difficult to accurately assess using traditional methods, thereby restricting device design and optimization. This paper proposes an improved Preisach hysteresis model and an eddy-current loss decomposition method for calculating hysteresis and eddy-current losses in soft-magnetic composites.
In hysteresis loss calculation, the traditional limiting-hysteresis-loop Preisach model requires only a single saturated hysteresis loop. Still, its prediction accuracy is limited in the low-density region. This paper proposes a multiple-hysteresis-loop correction method to refine the distribution function of the hysteresis operator in the Preisach plane by incorporating multiple sets of measured hysteresis-loop data, including the low-density region. Specifically, the Preisach plane is discretized into grid cells, and the grid's magnetic moment density distribution matrix is adjusted using measured data to improve the model's accuracy for hysteresis loops at low magnetic densities and under DC bias. The results show that the improved model's error in the range 0.3~1.0 T is lower than that of the original model. It exhibits more stable computational performance under DC bias conditions, outperforming the traditional Jiles-Atherton model in predicting coercivity and remanent magnetization.
For eddy-current loss, this paper decomposes the total eddy-current loss into two components, intra-particle and inter-particle losses, based on the micro structural characteristics of soft-magnetic composites. The local eddy current effect of the magnetic powder in the ferromagnetic phase causes intra-particle loss. The loss density is modeled as a function of the geometric parameter and the magnetic powder's conductivity. At the same time, macroscopic conductive paths generate interparticle losses due to incomplete cladding of the insulating layer, which are quantified by the material's homogenized conductivity and shape factor. The eddy-current loss characteristic parameter ξ is proposed. It depends solely on material properties and simplifies loss calculations under non-sinusoidal excitation, such as square-wave or triangular-wave excitation.
The energy storage inductor in a Boost converter and the high-frequency transformer in an LLC resonant converter are used as platforms, both designed for a switching frequency of 30 kHz. Pure iron powder cores are prepared by the sol-gel method, and the inductor losses in continuous and discontinuous conduction modes, as well as the core losses of the high-frequency transformer under the same magnetic density ripple, are predicted by combining the multiple-hysteresis-loop Preisach model with the eddy-current loss formula. The experimental results show that the proposed improved method achieves a total loss prediction accuracy of no more than 5% relative to the traditional method in complex excitation scenarios, such as single-ended excitation. In addition, the computational efficiency is high, with a single hysteresis-loss solution taking approximately 8.7 s. It can be integrated into the FEA post-processing workflow and is suitable for loss assessment of complex-shaped cores.

Key words： Soft magnetic composite Preisach model loss separation non-sinusoidal excitation

Received: 17 March 2025

PACS:

TM153

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Shi Kaimeng
	Zhang Dianhai
	Xu Xuefeng
	Zhao Xuanzhe
	Ren Ziyan

Cite this article:

Shi Kaimeng,Zhang Dianhai,Xu Xuefeng等. Complex Excitation Loss Calculation Method for Soft Magnetic Composites Based on Improved Preisach Model[J]. Transactions of China Electrotechnical Society, 2026, 41(6): 1805-1816.

URL:

https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.250423 OR https://dgjsxb.ces-transaction.com/EN/Y2026/V41/I6/1805

[1] Li Yang, Luo Zhichao, Li Yongjian, et al.Modeling of Fe-based soft magnetic materials for multiphysical analysis of medium-frequency transformers[J]. IEEE Transactions on Power Electronics, 2024, 39(10): 12249-12260.
[2] 刘成成, 杜汉东, 雷刚, 等. 逆变器供电下混合磁心爪极永磁电机的多物理场耦合分析[J]. 电工技术学报, 2025, 40(6): 1758-1770.
Liu Chengcheng, Du Handong, Lei Gang, et al.Multi-physics coupling analysis of permanent magnet claw pole machine with hybrid cores by inverter power supply[J]. Transactions of China Electrotechnical Society, 2025, 40(6): 1758-1770.
[3] Wan Zhenyu, Li Yongjian, Wang Haoming, et al.Optimization design of high-frequency matrix transformer for solid-state transformer[J]. IEEE Transactions on Power Electronics, 2024, 39(10): 12384-12396.
[4] 赵志刚, 白若南, 陈天缘, 等. 基于智能优化算法的高频变压器电磁结构优化设计[J]. 电工技术学报, 2024, 39(18): 5610-5625.
Zhao Zhigang, Bai Ruonan, Chen Tianyuan, et al.Optimization design of electromagnetic structure of high frequency transformer based on intelligent optimization algorithm[J]. Transactions of China Electrotechnical Society, 2024, 39(18): 5610-5625.
[5] Li Yang, Zou Jun, Li Yongjian, et al.Prediction of core loss in transformer laminated core under DC bias based on generalized preisach model[J]. IEEE Transactions on Magnetics, 2024, 60(3): 8400405.
[6] Zhou Yan, Zhu Weibo, Tong Guanghui.A core loss calculation method for DC/DC power converters based on sinusoidal losses[J]. IEEE Transactions on Power Electronics, 2022, 38(1): 692-702.
[7] 付裕恒, 李琳. 考虑拉应力对无取向硅钢磁滞特性非单调影响的磁弹性耦合磁滞模型[J]. 电工技术学报, 2025, 40(20): 6407-6421.
Fu Yuheng, Li Lin.Magnetoelastic coupled hysteresis model of non-oriented silicon steel sheet considering the non-monotonic influence of tensile stress[J]. Transactions of China Electrotechnical Society, 2025, 40(20): 6407-6421.
[8] 李慧奇, 廖峪茹, 马光, 等. 考虑应力作用下取向硅钢片的改进损耗分离模型[J]. 电工技术学报, 2025, 40(10): 3097-3106.
Li Huiqi, Liao Yuru, Ma Guang, et al.Improved loss separation model of oriented silicon steel sheets considering the influence of stress[J]. Transactions of China Electrotechnical Society, 2025, 40(10): 3097-3106.
[9] 赵小军, 肖玉辰, 武欣怡, 等. 考虑磁滞的定点谐波有限元算法在非对称直流偏磁工况下的应用[J]. 电工技术学报, 2025, 40(23): 7485-7497.
Zhao Xiaojun, Xiao Yuchen, Wu Xinyi, et al.Application of fixed point harmonic finite element algorithm considering hysteresis in asymmetric dcbiased magnetic conditions[J]. Transactions of China Electrotechnical Society, 2025, 40(23): 7485-7497.
[10] 赵志刚, 贾慧杰, 刘朝阳, 等. 考虑PWM波形特征的纳米晶磁心损耗模型的研究及验证[J]. 电工技术学报, 2024, 39(6): 1602-1612.
Zhao Zhigang, Jia Huijie, Liu Zhaoyang, et al.Research and verification of nanocrystalline core loss model considering PWM waveform characteristics[J]. Transactions of China Electrotechnical Society, 2024, 39(6): 1602-1612.
[11] Cao Yuliang, Ngo K, Dong Dong.A scalable electronicembedded transformer, a new concept toward ultrahigh-frequency high-power transformer in DC-DC converters[J]. IEEE Transactions on Power Electronics, 2023, 38(8): 9278-9293.
[12] Ren Yuzhan, Wang Youhua, Liu Chengcheng.Lowfrequency electromagnetic transient modeling of shell-type transformers based on dynamic JilesAtherton hysteresis model[J]. IEEE Transactions on Magnetics, 2024, 60(9): 7300905.
[13] 荆盈, 张艳丽, 王振, 等. 计及Preisach算子状态信息的智能磁滞模型及其分布函数[J]. 电工技术学报, 2026, 41(1): 70-81.
Jing Ying, Zhang Yanli, Wang Zhen, et al.Intelligent Hysteresis model and its distribution function considering the state information of the Preisach operator[J]. Transactions of China Electrotechnical Society, 2026, 41(1): 70-81.
[14] 刘任, 杜莹雪, 李琳, 等. 解析逆Preisach磁滞模型[J]. 电工技术学报, 2023, 38(10): 2567-2576.
Liu Ren, Du Yingxue, Li Lin, et al.Analytical inverse Preisach hysteresis model[J]. Transactions of China Electrotechnical Society, 2023, 38(10): 2567-2576.
[15] Liu Ren, Gu Chaoyang, Sun Jiangdong, et al.Analytical inverse preisach model and its comparison with inverse Jiles-Atherton model in terms of accuracy and computational speed[J]. IEEE Transactions on Magnetics, 2023, 59(11): TMAG.2023.
[16] 黄文美, 房昱同, 刘雨欣, 等. 计及偏置磁场变化的磁致伸缩逆效应能量平均磁滞模型[J]. 电工技术学报, 2025, 40(9): 2840-2851.
Huang Meiwen, Fang Yutong, Liu Xinyu, et al.Magnetostrictive inverse effect energy-averaged hysteresis model accounting for bias field variations[J]. Transactions of China Electrotechnical Society, 2025, 40(9): 2840-2851.
[17] 陈彬, 王川源, 刘洋, 等. 基于磁导-电容类比法和解析Preisach模型的铁心动态磁滞建模方法[J]. 电工技术学报, 2024, 39(18): 5576-5587.
Chen Lin, Wang Chuanyuan, Liu Yang, et al.Dynamic hysteresis modeling method for iron core based on permeance-capacitance analogy and analytic Preisach model[J]. Transactions of China Electrotechnical Society, 2024, 39(18): 5576-5587.
[18] 李湖胜, 高兵, 赵能桐, 等. 考虑非线性滞后的大功率超磁致伸缩换能器场路耦合瞬态模型[J]. 电工技术学报, 2025, 40(19): 6180-6191.
Li Husheng, Gao Bing, Zhao Nengtong, et al.Transient model of field-circuit coupling for highpower giant magnetostrictive transducer considering hysteresis nonlinearity[J]. Transactions of China Electrotechnical Society, 2025, 40(19): 6180-6191.
[19] 李永建, 李宗明, 利雅婷, 等. 考虑磁-力耦合效应的混合磁滞模型研究[J]. 电工技术学报, 2024, 39(22): 6941-6951.
Li Yongjian, Li Zongming, Li Yating, et al.Study of hybrid hysteresis model considering magnetic-force coupling effect[J]. Transactions of China Electrotechnical Society, 2024, 39(22): 6941-6951.
[20] Zhu Jianguo.Numerical modelling of magnetic materials for computer aided design of electromagnetic devices[D]. Sydney: University of Technology Sydney, 1994.
[21] 马阳阳, 李永建, 孙鹤, 等. 基于深度置信网络算法的面向铁磁材料旋转磁滞损耗的矢量磁滞模型[J]. 电工技术学报, 2023, 38(15): 4063-4075.
Ma Yangyang, Li Yongjian, Sun He, et al.Vector hysteresis model for rotational hysteresis loss of ferromagnetic materials based on deep belief network algorithm[J]. Transactions of China Electrotechnical Society, 2023, 38(15): 4063-4075.
[22] Chiriac H, Lupu N, Tibu M.Design and preparation of new Fe-based bulk amorphous alloys torroids[J]. IEEE Transactions on Magnetics, 2003, 39(5): 3040-3042.
[23] Bertotti G.General properties of power losses in soft ferromagnetic materials[J]. IEEE Transactions on Magnetics, 1988, 24(1): 621-630.
[24] 丁伟. 铁/钠钙硅酸盐玻璃软磁复合材料的制备与性能研究[D]. 哈尔滨: 哈尔滨工业大学, 2014.
Ding Wei.Study on prepartion and properties of iron/ soda lime silicate glass soft magnetic composites[D]. Harbin: Harbin Institute of Technology, 2014.
[25] Yang Bai, Wu Zhangben, Zou Zhiyu, et al.Highperformance Fe/SiO₂ soft magnetic composites for low-loss and high-power applications[J]. Journal of Physics D: Applied Physics, 2010, 43(36): 365003.