Hysteretic and Loss Modeling of Grain Oriented Silicon Steel Lamination under AC-DC Hybrid Magnetization
Zhao Xiaojun1, Wang Rui1, Du Zhenbin2, Yuan Dongwei1, Du Haiquan3
1. Department of Electrical Engineering North China Electric Power University Baoding 071003 China; 2. Hebei Provincial Key Laboratory of Electromagnetic＆Structural Performance of Power Transmission and Transformation Equipment Baoding 071056 China; 3. State Grid Liaocheng Power Supply Company Liaocheng 252000 China
Abstract：The dynamic and static hysteresis properties as well as loss properties of grain oriented silicon steel lamination under the AC-DC hybrid excitation with both DC bias and harmonic are measured. Then the influence of different excitation factors (such as DC bias magnetic field intensity and harmonic order), on the iron loss is analyzed. A parameter identification method of Preisach model based on asymmetrical major hysteresis loop is proposed, which realizes the accurate simulation of static hysteresis loop. The methods of excess loss simulation and parameter extraction under AC-DC hybrid excitation are investigated. Based on the equivalent relationship between loss separation and magnetic field separation, the Preisach dynamic hysteresis model is obtained. The consistency between the simulated results and the measured ones verifies the validity and accuracy of the proposed method.
赵小军, 王瑞, 杜振斌, 苑东伟, 杜海泉. 交直流混合激励下取向硅钢片磁滞及损耗特性模拟方法[J]. 电工技术学报, 2021, 36(13): 2791-2800.
Zhao Xiaojun, Wang Rui, Du Zhenbin, Yuan Dongwei, Du Haiquan. Hysteretic and Loss Modeling of Grain Oriented Silicon Steel Lamination under AC-DC Hybrid Magnetization. Transactions of China Electrotechnical Society, 2021, 36(13): 2791-2800.
[1] 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): 1-12. 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): 1-12. [2] 刘洋, 杨富尧, 范亚娜, 等. 畸变磁通作用下变压器铁心模型损耗的实验研究与模拟分析[J]. 电工电能新技术, 2017, 36(3): 65-69. Liu Yang, Yang Fuyao, Fan Yana, et al.Experimental study and modeling analysis of iron loss in transformer core model under distorted flux density[J]. Advanced Technology of Electrical Engineering and Energy, 2017, 36(3): 65-69. [3] 康丽, 张艳丽, 唐伟, 等. 基于变系数Steinmetz公式的直流偏磁下铁心损耗计算[J]. 电工技术学报, 2019, 34(增刊1): 1-6. Kang Li, Zhang Yanli, Tang Wei, et al.Calculation of core loss under DC bias based on the variable coefficient Steinmetz formula[J]. Transactions of China Electrotechnical Society, 2019, 34(S1): 1-6. [4] 刘任, 李琳. 基于场分离技术与损耗统计理论的动态Energetic磁滞模型[J]. 中国电机工程学报, 2019, 39(21): 6412-6419. Liu Ren, Li Lin.Dynamic Energetic hysteresis model based on field separation approach and statistical theory of losses[J]. Proceedings of the CSEE, 2019, 39(21): 6412-6419. [5] 刘任, 李琳. 基于模拟退火与Levenberg-Marquardt混合算法的Energetic磁滞模型参数提取[J]. 中国电机工程学报, 2019, 39(3): 875-884, 966. Liu Ren, Li Lin.Parameter extraction for Energetic hysteresis model based on the hybrid algorithm of simulated annealing and Levenberg-Marquardt[J]. Proceedings of the CSEE, 2019, 39(3): 875-884, 966. [6] 李阳. 基于动态J-A磁滞模型直流偏磁下的变压器铁损计算[D]. 天津: 天津工业大学, 2018. [7] Li Yang, Zhu Lihua, Zhu J.Core loss calculation based on finite-element method with Jiles-Atherton dynamic hysteresis model[J]. IEEE Transactions on Magnetics, 2018, 54(3): 1-5. [8] Dlala E.Efficient algorithms for the inclusion of the Preisach hysteresis model in nonlinear finite-element methods[J]. IEEE Transaction on Magnetics, 2011, 47(2): 395-408. [9] Hussain S, Lowther D A.An efficient implementation of the classical Preisach model[J]. IEEE Transactions on Magnetics, 2018, 54(3): 1-4. [10] 段娜娜, 徐伟杰, 李永建, 等. 基于极限磁滞回线法的软磁复合材料磁特性模拟[J]. 电工技术学报, 2018, 33(20): 4739-4745. Duan Nana, Xu Weijie, Li Yongjian, et al.Electromagnetic property modeling of the soft magnetic composite material based on the limiting loop method[J]. Transactions of China Electrotechnical Society, 2018, 33(20): 4739-4745. [11] Mayergoyz I D.Mathematical model of hysteresis and their applications[M]. New York: Academic Press, 2003. [12] 赵志刚, 胡鑫剑. 考虑畸变磁通及局部磁滞回环影响的层叠铁心损耗有效算法及验证[J]. 中国电机工程学报, 2019, 39(24): 7436-7443, 7517. Zhao Zhigang, Hu Xinjian.Effective method and verification of loss calculation for laminated core with distorted flux and minor hysteresis loops[J]. Proceedings of the CSEE, 2019, 39(24): 7436-7443, 7517. [13] 刘任, 李琳, 乔光尧, 等. 考虑偏置小磁滞回环的非正弦激励下磁性材料损耗计算方法[J]. 中国电机工程学报, 2020, 40(19): 6093-6103. Liu Ren, Li Lin, Qiao Guangyao, et al.Calculation method of magnetic material losses under non-sinusoidal excitation considering the biased minor loops[J]. Proceedings of the CSEE, 2020, 40(19): 6093-6103. [14] 赵志刚, 刘佳, 郭莹, 等. 非正弦励磁环境磁性材料改进损耗模型的研究[J]. 电工技术学报, 2019, 34(13): 2693-2699. Zhao Zhigang, Liu Jia, Guo Ying, et al.Investigation on the improved loss model of magnetic materials under non-sinusoidal excitation environment[J]. Transactions of China Electrotechnical Society, 2019, 34(13): 2693-2699. [15] 刘刚, 孙立鹏, 王雪刚, 等. 正弦及谐波激励下的铁心损耗计算方法改进及仿真应用[J]. 电工技术学报, 2018, 33(21): 4909-4918. Liu Gang, Sun Lipeng, Wang Xuegang, et al.Improvement of core loss calculation method and simulation application under sinusoidal and harmonic excitations[J]. Transactions of China Electrotechnical Society, 2018, 33(21): 4909-4918. [16] Bertotti G.Hysteresis in magnetism[M]. San Diego: Academic, 1998. [17] Barbisio E, Fiorillo F, Ragusa C.Predicting loss in magnetic steels under arbitrary induction waveform and with minor hysteresis loops[J]. IEEE Transactions on Magnetics, 2004, 40(4): 1810-1819. [18] Fiorillo F, Novikov A.An improved approach to power losses in magnetic laminations under nonsinusoidal induction waveform[J]. IEEE Transactions on Magnetics, 1990, 26(5): 2904-2910. [19] Popescu M, Ionel D M.A best-fit model of power losses in cold rolled-motor lamination steel operating in a wide range of frequency and magnetization[J]. IEEE Transactions on Magnetics, 2007, 43(4): 1753-1756. [20] Dlala E.A simplified iron loss model for laminated magnetic cores[J]. IEEE Transaction on Magnetics, 2008, 44(11): 3169-3172. [21] 刘任, 李琳. 基于损耗统计理论与J-A磁滞模型的直流偏磁下磁性材料损耗计算方法[J]. 高电压技术, 2019, 45(12): 4062-4069. Liu Ren, Li Lin.Loss prediction of magnetic material under DC bias based on the statistical theory of losses and Jiles-Atherton hysteresis model[J]. High Voltage Engineering, 2019, 45(12): 4062-4069. [22] 刘洋, 张艳丽, 谢德馨, 等. 考虑硅钢片二维矢量磁特性的复数E&S模型[J]. 中国电机工程学报, 2012, 32(3): 144-149. Liu Yang, Zhang Yanli, Xie Dexin, et al.A complex E&S model considering 2D vector magnetic properties of silicon steel sheet[J]. Proceedings of the CSEE, 2012, 32(3): 144-149. [23] Enokizono M, Shimoji H, Horibe T.Loss evaluation of induction motor by using magnetic hysteresis E&S model[J]. IEEE Transaction on Magnetics, 2002, 38(5): 2379-2381. [24] 李长云, 刘亚魁. 直流偏磁条件下变压器铁心磁化特性的Jiles-Atherton修正模型[J]. 电工技术学报, 2017, 32(19): 193-201. Li Changyun, Liu Yakui.Modified Jiles-Atherton model of transformer iron core magnetization characteristics with DC bias[J]. Transactions of China Electrotechnical Society, 2017, 32(19): 193-201. [25] Li D, Qiao Z, Yang N, et al.Study on vector magnetic properties of magnetic materials using hybrid hysteresis model[J]. CES Transactions on Electrical Machines and Systems, 2019, 3(3): 292-296. [26] Zirka S E, Moroz Y I, Harrison R, et al.Inverse hysteresis models for transient simulation[J]. IEEE Transactions on Power Delivery, 2014, 29(2): 552-559. [27] 赵小军. 基于谐波平衡有限元法的变压器直流偏磁特性研究[D]. 北京: 华北电力大学(北京), 2011.
2021, Vol. 36 
