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| Analysis of Grain Size and Volume Fraction of Nanocrystalline Alloy on High Frequency Magnetic Loss Characteristics |
| Dai Lingjun1, Zou Liang1, Guo Kaihang2, Zhang Li1, Li Yongjian3, Sun Qiuxia4 |
1. School of Electrical Engineering Shandong University Jinan 250061 China;
2. Dalian Power Supply Company of State Grid Liaoning Electric Power Company Dalian 116001 China;
3. Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province Hebei University of Technology Tianjin 300130 China;
4. Shandong Taikai Transformer Co. Ltd Taian 271000 China |
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Abstract With the continuous development of long distance DC power transmission and energy storage system in China, High Frequency Transformer which can realize DC voltage transformation through high power electronic devices and their control technology has been gradually applied. However, as the working frequency gradually increases to kilohertz, the core loss will increase greatly under the complex magnetic field at high frequency, and higher requirements are put forward for the performance of the core materials used in High Frequency Transformer. Nanocrystalline alloy is a kind of composite bipolar ferromagnetic material, not only has high saturation magnetic induction intensity, high effective magnetic permeability, low loss and low coercivity excellent soft magnetic properties, and low cost, simple preparation, high heat resistance, has widely used in high frequency ferromagnetic material.
In order to clarify the relationship between high-frequency magnetic loss and internal microstructure of nanocrystalline alloy, a three-dimensional model of nanocrystalline alloy at mesoscopic scale was established based on G. Herzer's random anisotropy theory. Then, based on the ring sample method, an AC test system was constructed to measure the magnetic loss of nanocrystalline alloy with the volume fraction V=60% and the grain size d=10nm under alternating magnetic field excitation with amplitude H=0.7 T and frequency f =10 kHz. Next, to obtain magnetic loss of the model, a sinusoidal alternating magnetic field with the same amplitude and frequency was applied to the model. And the above two loss values are compared to verify the correctness of the model. Finally taking crystal phase volume fraction V and grain size d as research parameters, the influence of microstructure change on high frequency magnetic loss was investigated from the mesoscopic level, and the functional relationship between high frequency magnetic loss and volume fraction V and grain size d was obtained.
The results show that the high frequency magnetic loss increases with the increase of volume fraction V and grain size d. This is because the high frequency loss of the material is mainly composed of eddy current loss. And the eddy current loss of the material is positively correlated with volume fraction V and grain size d, so when V and d increases, the high frequency loss of the material will increase. Meanwhile, the resistivity of the material will also increase with the increase of V and d, and the eddy current loss is inversely proportional to the resistivity of the material. Therefore, the eddy current loss of the nanocrystalline alloy will increase with the increase of V and d. Among them, grain size d has a more significant effect on high frequency loss of materials. When the external magnetic field frequency f remains constant (10 kHz) and the volume fraction V increases from 60% to 80%, the increase rate of high frequency magnetic loss is 27.11%. Accordingly, when the grain size d increases from 6 nm to 15 nm, the increase rate of high frequency loss is 51.83%. As can be seen from the functional relations among the three, both grain size d and volume fraction V are positively correlated with eddy current loss, but their coefficients are different. The coefficient of grain size d is larger than that of volume fraction V. Therefore, the change of grain size d has a more significant impact on the high frequency loss of materials.
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Received: 06 September 2022
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[1] 赵志刚, 徐曼, 胡鑫剑. 基于改进损耗分离模型的铁磁材料损耗特性研究[J]. 电工技术学报, 2021, 36(13): 2782-2790.
Zhao Zhigang, Xu Man, Hu Xinjian.Research on magnetic losses characteristics of ferromagnetic materials based on improvement loss separation model[J]. Transactions of China Electrotechnical Society, 2021, 36(13): 2782-2790.
[2] 孙鹤, 李永建, 刘欢, 等. 非正弦激励下纳米晶铁心损耗的计算方法与实验验证[J]. 电工技术学报, 2022, 37(4): 827-836.
Sun He, Li Yongjian, Liu Huan, et al.The calculation method of nanocrystalline core loss under non-sinusoidal excitation and experimental verification[J]. Transactions of China Electrotechnical Society, 2022, 37(4): 827-836.
[3] 袁发庭, 吕凯, 刘健犇, 等. 基于电磁-热-结构多物理场耦合的铁心电抗器线圈结构优化方法[J]. 电工技术学报, 2022, 37(24): 6431-6441.
Yuan Fating, Lü Kai, Liu Jianben, et al.Coil structures optimization method of iron core reactor based on electromagnetic-thermal-structure multi-physical field coupling[J]. Transactions of China Electrotechnical Society, 2022, 37(24): 6431-6441.
[4] 孙鹤, 李永建, 刘欢, 等. 非正弦激励下纳米晶铁心损耗的计算方法与实验验证[J]. 电工技术学报, 2022, 37(4): 827-836.
Sun He, Li Yongjian, Liu Huan, et al.The calculation method of nanocrystalline core loss under non-sinusoidal excitation and experimental verification[J]. Transactions of China Electrotechnical Society, 2022, 37(4): 827-836.
[5] 迟青光, 张艳丽, 陈吉超, 等. 非晶合金铁心损耗与磁致伸缩特性测量与模拟[J]. 电工技术学报, 2021, 36(18): 3876-3883.
Chi Qingguang, Zhang Yanli, Chen Jichao, et al.Measurement and modeling of loss and magnetostrictive properties for the amorphous alloy core[J]. Transactions of China Electrotechnical Society, 2021, 36(18): 3876-3883.
[6] 赵志刚, 徐曼, 胡鑫剑. 基于改进损耗分离模型的铁磁材料损耗特性研究[J]. 电工技术学报, 2021, 36(13): 2782-2790.
Zhao Zhigang, Xu Man, Hu Xinjian.Research on magnetic losses characteristics of ferromagnetic materials based on improvement loss separation model[J]. Transactions of China Electrotechnical Society, 2021, 36(13): 2782-2790.
[7] 王哲, 谢基表, 张忠福, 等. 铁基非晶、纳米晶软磁合金研究概况[J]. 山东冶金, 2019, 41(3): 42-46.
Wang Zhe, Xie Jibiao, Zhang Zhongfu, et al.Research status of Fe based amorphous and nanocrystalline soft magnetic alloys[J]. Shandong Metallurgy, 2019, 41(3): 42-46.
[8] 杨庆新, 李永建. 先进电工磁性材料特性与应用发展研究综述[J]. 电工技术学报, 2016, 31(20): 1-29.
Yang Qingxin, Li Yongjian.Characteristics and developments of advanced magnetic materials in electrical engineering: a review[J]. Transactions of China Electrotechnical Society, 2016, 31(20): 1-29.
[9] Füzer J, Dobák S, Kollár P.Magnetization dynamics of FeCuNbSiB soft magnetic ribbons and derived powder cores[J]. Journal of Alloys and Compounds, 2015, 628: 335-342.
[10] Kenzelmann S, Rufer A, Dujic D, et al.Isolated DC/DC structure based on modular multilevel converter[J]. IEEE Transactions on Power Electronics, 2015, 30(1): 89-98.
[11] Li T, Li Yanhui, Wu Licheng, et al.Improvement of soft magnetic properties of a Fe84Nb7B9 nanocrystalline alloy by synergistic substitution of P and Hf[J]. Journal of Alloys and Compounds, 2022, 918: 165735.
[12] Zhou Jian, Meng Li, Yang Fuyao, et al.Effect of heat treatment on dynamic magnetic properties and microstructures of Fe73.5Cu1Nb3Si13.5B9 nanocrystalline alloy[J]. Journal of Materials Science: Materials in Electronics, 2017, 28(9): 6829-6836.
[13] Zhang Zongyang, Liu Xiansong, Feng Shuangjiu, et al.The glass formation ability and soft magnetic properties of the Fe79Si9B4.5P1.5CuNbx nanocrystalline alloys[J]. Journal of Magnetism and Magnetic Materials, 2020, 497: 165990.
[14] 伍珈乐. 纳米晶合金介观高频饱和机理的微磁学分析[D]. 济南: 山东大学, 2018.
[15] 韩智云, 邹亮, 伍珈乐, 等. 外部和内部因素对纳米晶合金kHz级饱和磁化过程影响的微磁学分析[J]. 电工技术学报, 2019, 34(8): 1589-1598.
Han Zhiyun, Zou Liang, Wu Jiale, et al.Micromagnetic analysis of external and internal impact factors on kHz level saturation magnetization for nanocrystalline alloy[J]. Transactions of China Electrotechnical Society, 2019, 34(8): 1589-1598.
[16] 张长庚. 电工软磁材料三维磁特性测量及耦合磁滞和各向异性的电磁有限元模拟[D]. 天津: 河北工业大学, 2016.
[17] Zhi Q Z, Dong B S, Chen W Z, et al.Elevated temperature initial permeability study of Fe73.5Cu1Nb3Si13.5B9 alloy[J]. Materials Science and Engineering: A, 2007, 448(1/2): 249-252.
[18] Bottauscio O, Manzin A.Comparison of multiscale models for eddy current computation in granular magnetic materials[J]. Journal of Computational Physics, 2013, 253: 1-17.
[19] Fan Xingdu, Zhang Tao, Jiang Mmufeng, et al. Synthesis of novel FeSiBPCCu alloys with high amorphous forming abilityand good soft magnetic propertie[J]. Journal of Non-Crystalline Solids, 2019, 503-504: 36-43.
[20] Matsumori H, Shimizu T, Wang Xiongfei, et al.A practical core loss model for filter inductors of power electronic converters[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2018, 6(1): 29-39.
[21] Zhang Zhidong.Magnetic structures, magnetic domains and topological magnetic textures of magnetic materials[J]. Acta Physica Sinica, 2015, 64(6): 067503.
[22] 马海健, 魏文庆, 鲍文科, 等. 铁基纳米晶软磁合金研究进展及应用展望[J]. 稀有金属材料与工程, 2020, 49(8): 2904-2912.
Ma Haijian, Wei Wenqing, Bao Wenke, et al.Research progress and application prospect of Fe-based nanocrystalline soft magnetic alloys[J]. Rare Metal Materials and Engineering, 2020, 49(8): 2904-2912.
[23] Herzer G.Modern soft magnets: amorphous and nanocrystalline materials[J]. Acta Materialia, 2013, 61(3): 718-734.
[24] 贺佳. Nd2Fe14B/α''-Fe16N2核/壳结构纳米复合材料的微磁学模拟[D]. 临汾: 山西师范大学, 2021.
[25] 吴琛, 严密. 金属软磁复合材料研究进展[J]. 中国材料进展, 2018, 37(8): 582-589.
Wu Chen, Yan Mi.Research progress on soft magnetic composites[J]. Materials China, 2018, 37(8): 582-589.
[26] 赵青. 非晶纳米晶磁材料在复杂激磁条件下的损耗特性研究[D]. 天津: 河北工业大学, 2017.
[27] Taghvaei A H, Shokrollahi H, Janghorban K, et al.Eddy current and total power loss separation in the iron-phosphate-polyepoxy soft magnetic composites[J]. Materials & Design, 2009, 30(10): 3989-3995.
[28] Hossein Taghvaei A, Ebrahimi A, Gheisari K, et al.Analysis of the magnetic losses in iron-based soft magnetic composites with MgO insulation produced by sol-gel method[J]. Journal of Magnetism and Magnetic Materials, 2010, 322(23): 3748-3754. |
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2023, Vol. 38 
