基于损耗统计理论的动态J-A磁滞模型
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摘要
针对传统基于损耗分离经验法的动态J-A模型缺乏物理基础、精度较低的问题,通过借鉴磁场强度分离的理念,将损耗统计理论引入原始静态J-A模型,提出了一种基于损耗统计理论的新型动态J-A模型。其中,静态磁场强度分量利用静态J-A模型求解,而涡流及剩余磁场强度分量则根据损耗统计理论推导而得。通过将计算结果与测量结果对比,表明本文所提动态J-A模型相比于传统基于损耗分离经验法的动态J-A模型精度较高,模型参数物理意义更为明确。
The traditional dynamic J-A model based on the empirical method of loss separation lacks physical foundation and has low accuracy. Referring to the idea of magnetic field intensity separation,the statistical theory of losses is introduced into the original static J-A model. Therefore,a new dynamic J-A model based on the statistical theory of losses is proposed. Among them,the static J-A model is used to solve the static magnetic field strength component,and the eddy current and anomalous magnetic field strength components are derived from the statistical theory of losses. Comparing the calculated results with the measured results,the dynamic J-A model proposed in this paper is more accurate than the traditional dynamic J-A model,which is based on the empirical method of loss separation. In terms of physical meaning of the parameters,the dynamic J-A model proposed in this paper is more explicit than the traditional one.
The traditional dynamic J-A model based on the empirical method of loss separation lacks physical foundation and has low accuracy. Referring to the idea of magnetic field intensity separation,the statistical theory of losses is introduced into the original static J-A model. Therefore,a new dynamic J-A model based on the statistical theory of losses is proposed. Among them,the static J-A model is used to solve the static magnetic field strength component,and the eddy current and anomalous magnetic field strength components are derived from the statistical theory of losses. Comparing the calculated results with the measured results,the dynamic J-A model proposed in this paper is more accurate than the traditional dynamic J-A model,which is based on the empirical method of loss separation. In terms of physical meaning of the parameters,the dynamic J-A model proposed in this paper is more explicit than the traditional one.
引文
[1]Chwastek K,Szczygowski J,Wilczyński W.Modelling dynamic hysteresis loops in steel sheets[J].COMPELInternational Journal for Computation&Mathematics in E-lectrical&Electronic Engineering,2009,28(3):603-612.
[2]Olivier de la Barrière,Carlo Ragusa,Carlo Appino,et al.Prediction of energy losses in soft magnetic materials under arbitrary induction waveforms and DC bias[J].IEEETransactions on Industrial Electronics,2017,64(3):2522-2529.
[3]刘洋,杨富尧,范亚娜,等(Liu Yang,Yang Furao,Fan Yana,et al.).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(Experimental study and modeling analysis of iron loss in transformer core model under distorted flux)[J].电工电能新技术(Advanced Technology of Electrical Engineering and Energy),2017,36(3):65-69.
[4]Cinzia Beatrice,Samuel Dobák,Enzo Ferrara,et al.Broadband magnetic losses of nanocrystalline ribbons and powder cores[J].Journal of Magnetism and Magnetic Materials,2016,420:317-323.
[5]Steinmetz C P.On the law of hysteresis[J].Proceedings of the IEEE,1984,72(2):197-221.
[6]Jiles D C.Frequency dependence of hysteresis curves in conducting magnetic materials[J].Journal of Applied Physics,1994,75(10):3490-3492.
[7]Du R,Robertson P.Dynamic Jiles-Atherton model for determining the magnetic power loss at high frequency in permanent magnet machines[J].IEEE Transactions on Magnetics,2015,51(6):7301210.
[8]Chwastek K.Modeling of dynamic hysteresis loops using the Jiles-Atherton approach[J].Mathematical and Computer Modelling of Dynamical Systems,2009,15(1):95-105.
[9]Hamimid M,Mimoune S M,Feliachi M.Hybrid magnetic field formulation based on the losses separation method for modified dynamic inverse Jiles-Atherton model[J].Physica B:Condensed Matter,2011,406(14):2755-2757.
[10]Baghel A P S,Kulkarni S V.Dynamic loss inclusion in the Jiles-Atherton(JA)hysteresis model using the original JA approach and the field separation approach[J].IEEE Transactions on Magnetics,2014,50(2):7009004.
[11]李长云,刘亚魁(Li Changyun,Liu Yakui).直流偏磁条件下变压器铁心磁化特性的Jiles-Atherton修正模型(Modified Jiles-Atherton model of transformer iron core magnetization characteristics with DC bias)[J].电工技术学报(Transactions of China Electrotechnical Society),2017,32(19):193-201.
[12]李晓萍,文习山,陈慈萱(Li Xiaoping,Wen Xishan,Chen Cixuan).单相变压器直流偏磁励磁电流仿真分析(Simulation analysis of DC bias excitation current of single phase transformer)[J].高电压技术(High Voltage Engineering),2005,31(9):8-10.
[13]Liu Ren,Li Lin.Simulated annealing algorithm coupled with a deterministic method for parameter extraction of energetic hysteresis model[J].IEEE Transactions on Magnetics,2018,54(11):7301105.
[14]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.
[15]Fulginei F R,Salvini A.Softcomputing for the identification of the Jiles-Atherton model parameters[J].IEEETransactions on Magnetics,2005,41(3):1100-1108.
[16]李泽涛(Li Zetao).基于J-A模型的单相变压器建模和偏磁研究(Modeling and magnetic bias of singlephase transformer based on J-A model)[D].天津:河北工业大学(Tianjin:Hebei University of Technology),2014.
[17]曹林,何金良,张波(Cao Lin,He Jinliang,Zhang Bo).直流偏磁状态下电力变压器铁心动态磁滞损耗模型及验证(Dynamic hysteresis loss model of power transformer under DC current biasing and its verification)[J].中国电机工程学报(Proceedings of the CSEE),2008,28(24):141-146.
[18]Li Y,Zhu L,Zhu J.Core loss calculation based on finite-element method with Jiles-Atherton dynamic hysteresis model[J].IEEE Transactions on Magnetics,2018,54(3):1300105.
[19]刘任,李琳(Liu Ren,Li Lin).基于损耗分离理论的非正弦激励磁心损耗计算方法研究(Research on calculation methods for core losses under nonsinusoidal excitation based on loss separation theory)[J].电工电能新技术(Advanced Technology of Electrical Engineering and Energy),2018,37(9):1-9.
[20]Jesenik M,Goricˇan V,Trlep M,et al.Magnetic field calculation considering the measured hysteresis[J].Journal of Magnetism&Magnetic Materials,2008,320(20):e988-e991.
[21]王洋,刘志珍(Wang Yang,Liu Zhizhen).基于蛙跳模糊算法的Jiles Atherton铁心磁滞模型参数确定(Determination of Jiles Atherton core hysteresis model parameters based on fuzzy-shuffled frog leaping algorithm)[J].电工技术学报(Transactions of China Electrotechnical Society),2017,32(4):154-161.
[22]Hussain S,Lowther D A.Prediction of iron losses using Jiles-Atherton model with interpolated parameters under the conditions of frequency and compressive stress[J].IEEE Transactions on Magnetics,2016,52(3):1-4.
[23]Yamamoto T,Ohya Y.Single sheet tester for measuring core losses and permeabilities in a silicon steel sheet[J].IEEE Transactions on Magnetics,1974,10(2):157-159.
[2]Olivier de la Barrière,Carlo Ragusa,Carlo Appino,et al.Prediction of energy losses in soft magnetic materials under arbitrary induction waveforms and DC bias[J].IEEETransactions on Industrial Electronics,2017,64(3):2522-2529.
[3]刘洋,杨富尧,范亚娜,等(Liu Yang,Yang Furao,Fan Yana,et al.).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(Experimental study and modeling analysis of iron loss in transformer core model under distorted flux)[J].电工电能新技术(Advanced Technology of Electrical Engineering and Energy),2017,36(3):65-69.
[4]Cinzia Beatrice,Samuel Dobák,Enzo Ferrara,et al.Broadband magnetic losses of nanocrystalline ribbons and powder cores[J].Journal of Magnetism and Magnetic Materials,2016,420:317-323.
[5]Steinmetz C P.On the law of hysteresis[J].Proceedings of the IEEE,1984,72(2):197-221.
[6]Jiles D C.Frequency dependence of hysteresis curves in conducting magnetic materials[J].Journal of Applied Physics,1994,75(10):3490-3492.
[7]Du R,Robertson P.Dynamic Jiles-Atherton model for determining the magnetic power loss at high frequency in permanent magnet machines[J].IEEE Transactions on Magnetics,2015,51(6):7301210.
[8]Chwastek K.Modeling of dynamic hysteresis loops using the Jiles-Atherton approach[J].Mathematical and Computer Modelling of Dynamical Systems,2009,15(1):95-105.
[9]Hamimid M,Mimoune S M,Feliachi M.Hybrid magnetic field formulation based on the losses separation method for modified dynamic inverse Jiles-Atherton model[J].Physica B:Condensed Matter,2011,406(14):2755-2757.
[10]Baghel A P S,Kulkarni S V.Dynamic loss inclusion in the Jiles-Atherton(JA)hysteresis model using the original JA approach and the field separation approach[J].IEEE Transactions on Magnetics,2014,50(2):7009004.
[11]李长云,刘亚魁(Li Changyun,Liu Yakui).直流偏磁条件下变压器铁心磁化特性的Jiles-Atherton修正模型(Modified Jiles-Atherton model of transformer iron core magnetization characteristics with DC bias)[J].电工技术学报(Transactions of China Electrotechnical Society),2017,32(19):193-201.
[12]李晓萍,文习山,陈慈萱(Li Xiaoping,Wen Xishan,Chen Cixuan).单相变压器直流偏磁励磁电流仿真分析(Simulation analysis of DC bias excitation current of single phase transformer)[J].高电压技术(High Voltage Engineering),2005,31(9):8-10.
[13]Liu Ren,Li Lin.Simulated annealing algorithm coupled with a deterministic method for parameter extraction of energetic hysteresis model[J].IEEE Transactions on Magnetics,2018,54(11):7301105.
[14]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.
[15]Fulginei F R,Salvini A.Softcomputing for the identification of the Jiles-Atherton model parameters[J].IEEETransactions on Magnetics,2005,41(3):1100-1108.
[16]李泽涛(Li Zetao).基于J-A模型的单相变压器建模和偏磁研究(Modeling and magnetic bias of singlephase transformer based on J-A model)[D].天津:河北工业大学(Tianjin:Hebei University of Technology),2014.
[17]曹林,何金良,张波(Cao Lin,He Jinliang,Zhang Bo).直流偏磁状态下电力变压器铁心动态磁滞损耗模型及验证(Dynamic hysteresis loss model of power transformer under DC current biasing and its verification)[J].中国电机工程学报(Proceedings of the CSEE),2008,28(24):141-146.
[18]Li Y,Zhu L,Zhu J.Core loss calculation based on finite-element method with Jiles-Atherton dynamic hysteresis model[J].IEEE Transactions on Magnetics,2018,54(3):1300105.
[19]刘任,李琳(Liu Ren,Li Lin).基于损耗分离理论的非正弦激励磁心损耗计算方法研究(Research on calculation methods for core losses under nonsinusoidal excitation based on loss separation theory)[J].电工电能新技术(Advanced Technology of Electrical Engineering and Energy),2018,37(9):1-9.
[20]Jesenik M,Goricˇan V,Trlep M,et al.Magnetic field calculation considering the measured hysteresis[J].Journal of Magnetism&Magnetic Materials,2008,320(20):e988-e991.
[21]王洋,刘志珍(Wang Yang,Liu Zhizhen).基于蛙跳模糊算法的Jiles Atherton铁心磁滞模型参数确定(Determination of Jiles Atherton core hysteresis model parameters based on fuzzy-shuffled frog leaping algorithm)[J].电工技术学报(Transactions of China Electrotechnical Society),2017,32(4):154-161.
[22]Hussain S,Lowther D A.Prediction of iron losses using Jiles-Atherton model with interpolated parameters under the conditions of frequency and compressive stress[J].IEEE Transactions on Magnetics,2016,52(3):1-4.
[23]Yamamoto T,Ohya Y.Single sheet tester for measuring core losses and permeabilities in a silicon steel sheet[J].IEEE Transactions on Magnetics,1974,10(2):157-159.