非正弦激励下硅钢片的磁滞特性模拟及损耗计算
|
摘要
利用硅钢磁环极限磁滞回线测量值推导出起始于极限磁滞回线下降支的一阶回转曲线,从而得到用于模拟磁滞特性的Everett函数,并给出利用Everett函数计算高阶回转曲线的方法,实现了基于Preisach模型的硅钢磁环磁滞特性模拟;然后从磁滞损耗定义出发,对含不同幅值小磁滞回环时的磁滞损耗进行分析计算,并与实验测试结果进行对比。结果表明:这种磁滞特性模拟方法能够简化Preisach模型的实现,并能够准确地模拟出磁性材料的高阶回转曲线;利用该方法分析计算得到的静态磁滞损耗与实验结果相吻合,且损耗值与小磁滞回环的幅值呈正相关性。
With the experimental data of silicon steel ring, this paper deduced the first order reversal curves(FORCs) of the descending branch of the limiting hysteresis loop, thus obtaining the Everett function applied in calculating high order reversal curves. In this way, we succeeded in simulating the hysteresis property of silicon steel ring based on the Preisach model. Then, this paper calculated the hysteresis loss of minor hysteresis loops with different amplitudes and compared the calculation with test results. The comparison results showed that the method mentioned above simplifies the Preisach model and accurately simulates the high order reversal curves of magnetic material. The static hysteresis loss calculated by the method is consistent with the experimental results, and the loss value is positively correlated with the amplitude of the small hysteresis loop.
With the experimental data of silicon steel ring, this paper deduced the first order reversal curves(FORCs) of the descending branch of the limiting hysteresis loop, thus obtaining the Everett function applied in calculating high order reversal curves. In this way, we succeeded in simulating the hysteresis property of silicon steel ring based on the Preisach model. Then, this paper calculated the hysteresis loss of minor hysteresis loops with different amplitudes and compared the calculation with test results. The comparison results showed that the method mentioned above simplifies the Preisach model and accurately simulates the high order reversal curves of magnetic material. The static hysteresis loss calculated by the method is consistent with the experimental results, and the loss value is positively correlated with the amplitude of the small hysteresis loop.
引文
[1] BERTOTTI G.Hysteresis in magnetism[M].Academic Press,USA,1998.
[2] MAYERGOYZ I D.The classical preisach model of hysteresis[J].Mathematical Models of Hysteresis & Their Applications,2003:149-223.
[3] MAYERGOYZ I D,FRIEDMAN G.Generalized preisach model of hysteresis[J].IEEE Transactions on Magnetics,1988,24(1):212-217.
[4] DOONG T,MAYERGOYZ I.On numerical implementa-tion of hysteresis models[J].IEEE Transactions on Magnetics,2003,21(5):1853-1855.
[5] MAYERGOYZ I D.Mathematical models of hysteresis[J].Physical Review Letters,2003,22(5):603-608.
[6] MAYERGOYZ I D,FRIEDMAN G.On the integral equation of the vector preisach hysteresis model[J].IEEE Transactions on Magnetics,2003,23(5):2638-2640.
[7] 李富华,刘德志,陈俊全,等.基于Lorentzian函数的Preisach磁滞模型辨识与验证[J].电工技术学报,2011,26(2):1-7.LI Fuhua,LIU Dezhi,CHEN Junquan.Identification of a preisach hysteresis model with lorentzian function and its verification[J].Transaction of China Electrotechnical Society,2011,26(2):1-7.
[8] 赵小军,崔灿,李琳,等.基于定点谐波平衡法的铁心磁滞与损耗特性分析[J].电工技术学报,2014,29(7):10-18.ZHAO Xiaojun,CUI Can,LI Lin.Analysis of the hysteresis and loss characteristics in the laminated core by fixed-point harmonic-balanced method[J].Transaction of China Electrotechnical Society,2014,29(7):10-18.
[9] 何源,李新,罗建.利用磁滞回线辨识变压器励磁电感研究[J].电力系统保护与控制,2013,41(14):19-24.HE Yuan,LI Xin,LUO Jian.Distinguishing magnetizing inductance of power transformer based on hysteresis loop[J].Power System Protection and Control,2013,41(14):19-24.
[10] VECCHIO R D.An efficient procedure for modeling complex hysteresis processes in ferromagnetic materials[J].IEEE Transactions on Magnetics,1980,16(5):809-811.
[11] NAIDU S R.Simulation of the hysteresis pheno-menon using Preisach′s theory[J].IEE Proceedings A_Physical Science,Measurement and Instrumentation,Management and Education,1990,137(2):73-79.
[12] DLALA E.Efficient algorithms for the inclusion of the preisach hysteresis model in nonlinear finite-element methods[J].IEEE Transactions on Magnetics,2011,47(2):395-408.
[13] MARIAN K.Kazimierczuk.高频磁性器件[M].北京:电子工业出版社,2012.
[14] TURTELLI R S,ANTONI M,GR?SSINGER R,et al.Influence of the induction B(T) shape on hysteresis and loss measurements of soft magnetic materials[J].IEEE Transactions on Magnetics,2016,52(5):1-4.
[15] TURTELLI R S,HARTL S,GR?SSINGER R,et al.Hysteresis and loss measurements on the plastically deformed Fe-(3 wt%)si under sinusoidal and triangular external field[J].IEEE Transactions on Magnetics.2016,52(5):1-7.
[16] HATAKEYAMA T,ONDA K.Core loss estimation of various materials magnetized with the symmetrical/asymmetrical rectangular voltage[J].IEEE Transactions on Power Electronics,2014,29(12):6628-6635.
[17] 张宁,李琳,魏晓光.非正弦激励下磁心损耗的计算方法及实验验证[J].电工技术学报,2016,31(17):224-232.ZHANG Ning,LI Lin,WEI Xiaoguang.Calculation method and experimental verification of core losses under non-sinusoidal excitation[J].Transaction of China Electrotechnical Society,2016,31(17):224-232.
[18] TAITODA T,TAKAHASHI Y.FUJIWARA K.Iron loss esti-mation method for a general hysteresis loop with minor loops[J].IEEE Transactions on Magnetics,2015,51(11):1-4.
[19] IBRAHIM M,PILLAY P A.Hybrid model for improved hysteresis loss prediction in electrical machines[C].Energy Conversion Congress and Exposition,IEEE,2013:4348-4355.
[20] 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.
[21] ZHAO H,RAGUSA C,BARRIERE O D L,et al.Magnetic loss versus frequency in non-oriented steel sheets and its prediction:minor loops,PWM,and the limits of the analytical approach[J].IEEE Transactions on Magnetics,2017,53(11):1-4.
[2] MAYERGOYZ I D.The classical preisach model of hysteresis[J].Mathematical Models of Hysteresis & Their Applications,2003:149-223.
[3] MAYERGOYZ I D,FRIEDMAN G.Generalized preisach model of hysteresis[J].IEEE Transactions on Magnetics,1988,24(1):212-217.
[4] DOONG T,MAYERGOYZ I.On numerical implementa-tion of hysteresis models[J].IEEE Transactions on Magnetics,2003,21(5):1853-1855.
[5] MAYERGOYZ I D.Mathematical models of hysteresis[J].Physical Review Letters,2003,22(5):603-608.
[6] MAYERGOYZ I D,FRIEDMAN G.On the integral equation of the vector preisach hysteresis model[J].IEEE Transactions on Magnetics,2003,23(5):2638-2640.
[7] 李富华,刘德志,陈俊全,等.基于Lorentzian函数的Preisach磁滞模型辨识与验证[J].电工技术学报,2011,26(2):1-7.LI Fuhua,LIU Dezhi,CHEN Junquan.Identification of a preisach hysteresis model with lorentzian function and its verification[J].Transaction of China Electrotechnical Society,2011,26(2):1-7.
[8] 赵小军,崔灿,李琳,等.基于定点谐波平衡法的铁心磁滞与损耗特性分析[J].电工技术学报,2014,29(7):10-18.ZHAO Xiaojun,CUI Can,LI Lin.Analysis of the hysteresis and loss characteristics in the laminated core by fixed-point harmonic-balanced method[J].Transaction of China Electrotechnical Society,2014,29(7):10-18.
[9] 何源,李新,罗建.利用磁滞回线辨识变压器励磁电感研究[J].电力系统保护与控制,2013,41(14):19-24.HE Yuan,LI Xin,LUO Jian.Distinguishing magnetizing inductance of power transformer based on hysteresis loop[J].Power System Protection and Control,2013,41(14):19-24.
[10] VECCHIO R D.An efficient procedure for modeling complex hysteresis processes in ferromagnetic materials[J].IEEE Transactions on Magnetics,1980,16(5):809-811.
[11] NAIDU S R.Simulation of the hysteresis pheno-menon using Preisach′s theory[J].IEE Proceedings A_Physical Science,Measurement and Instrumentation,Management and Education,1990,137(2):73-79.
[12] DLALA E.Efficient algorithms for the inclusion of the preisach hysteresis model in nonlinear finite-element methods[J].IEEE Transactions on Magnetics,2011,47(2):395-408.
[13] MARIAN K.Kazimierczuk.高频磁性器件[M].北京:电子工业出版社,2012.
[14] TURTELLI R S,ANTONI M,GR?SSINGER R,et al.Influence of the induction B(T) shape on hysteresis and loss measurements of soft magnetic materials[J].IEEE Transactions on Magnetics,2016,52(5):1-4.
[15] TURTELLI R S,HARTL S,GR?SSINGER R,et al.Hysteresis and loss measurements on the plastically deformed Fe-(3 wt%)si under sinusoidal and triangular external field[J].IEEE Transactions on Magnetics.2016,52(5):1-7.
[16] HATAKEYAMA T,ONDA K.Core loss estimation of various materials magnetized with the symmetrical/asymmetrical rectangular voltage[J].IEEE Transactions on Power Electronics,2014,29(12):6628-6635.
[17] 张宁,李琳,魏晓光.非正弦激励下磁心损耗的计算方法及实验验证[J].电工技术学报,2016,31(17):224-232.ZHANG Ning,LI Lin,WEI Xiaoguang.Calculation method and experimental verification of core losses under non-sinusoidal excitation[J].Transaction of China Electrotechnical Society,2016,31(17):224-232.
[18] TAITODA T,TAKAHASHI Y.FUJIWARA K.Iron loss esti-mation method for a general hysteresis loop with minor loops[J].IEEE Transactions on Magnetics,2015,51(11):1-4.
[19] IBRAHIM M,PILLAY P A.Hybrid model for improved hysteresis loss prediction in electrical machines[C].Energy Conversion Congress and Exposition,IEEE,2013:4348-4355.
[20] 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.
[21] ZHAO H,RAGUSA C,BARRIERE O D L,et al.Magnetic loss versus frequency in non-oriented steel sheets and its prediction:minor loops,PWM,and the limits of the analytical approach[J].IEEE Transactions on Magnetics,2017,53(11):1-4.