The Jiles-Atherton(J-A)model based magnetization theory is widely used in the magnetic modeling field,however,its effectiveness for DC bias conditions remains to be verified.Based on the physical implication of magnetization,it was deduced that the combined DC-biased magnetization can be decomposed as the sum of the AC and DC components.According to the total current law,the mathematical expression of magnetic field intensity was obtained.Combined with Langevin Equation,a modified expression of the magnetization curve without hysteresis was deduced.Based on the Law of energy conservation,a modified differential magnetization model was acquired under DC bias as well as inclusion of reasonable reversible coefficients..According to asymmetrical behavior of the magnetization curve,a partition solution methodology was proposed to determine the parameters of the modified J-A model.Simulations and experiments showed good coincidence,and verified effectiveness of the proposed model as to further analyze and compute the excitation currents and iron-core losses for the DC bias conditions.
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. Transactions of China Electrotechnical Society, 2017, 32(19): 193-201.
[1] 陈志伟,白保东,陈德志,等.电力变压器直流偏磁现象形成机理及一种抑制措施的研究[J].电工技术学报,2015,30(14):208-214.
Chen Zhiwei,Bai Baodong,Chen Dezhi,et al.Research on the formation mechanism and suppression method of transformer DC bias [J].Transactions of China Electrotechnical Society,2015,30(14):208-214.
[2] PR Price.Geomagnetically induced current effect on transformers [J].IEEE Transactions on Power Delivery,2002,7(4):1002-1008.
[3] 王佳音,白保东,刘宏亮,等.直流偏磁对变压器振动噪声的影响[J].电工技术学报,2015,30(8):57-61.
Wang Jiayin,Bai Baodong,Liu Hongliang,et al.Research on vibration and noise of transformersunder DC bias [J].Transactions of China Electrotechnical Society,2015,30(8):57-61.
[4] 李贞,李庆民,李长云,等.直流偏磁条件下变压器的谐波畸变特征[J].电力系统保护与控制,2010,38(24):52-55.
Li Zhen,Li Qingmin,Li Changyun,et al.Harmonic distortion feature of AC transformers caused by DC bias[J].Power System Protection and Control,2010,38(24):52-55.
[5] Bolduc L,Langlois P,Boteler D,et al.A study of geomagnetic disturbances in Quebec.I.general results[J].IEEE Transactions on Power Delivery,1998,13(4):1251-1256.
[6] 李长云,李庆民,李贞,等.直流偏磁条件下电流互感器的传变特性[J].中国电机工程学报,2010,30(19):127-132.
Li Changyun,Li Qingmin,Li Zhen,et al.Transfer characteristics of current transformers with DC bias[J].Proceedings of the CSEE,2010,30(19):127-132.
[7] 李长云,李庆民,李贞,等.直流偏磁和剩磁同时作用下保护用电流互感器的暂态特性研究[J].电力系统保护与控制,2010,38(23):107-111.
Li Changyun,Li Qingmin,Li Zhen,et al.Research on the transient characteristics of the protective CTS with co-impacts of DC bias and remnant flux[J].Power System Protection and Control,2010,38(23):107-111.
[8] 郭满生,梅桂华,刘东升,等.直流偏磁条件下电力变压器铁心B-H曲线及非对称励磁电流[J].电工技术学报,2009,24(5):46-51,59.
Guo Mansheng,Mei Guihua,Liu Dongsheng,et al.B-H curve based on core and asymmetric magnetizing current in DC-biased transformers[J].Transactions of China Electrotechnical Society,2009,24(5):46-51,59.
[9] Jiles D C,Atherton D L.Theory of ferromagnetic hysteresis[J].Journal of Applied Physics,1984,55(6):2115-2120.
[10]李贞,李庆民,李长云,等.J-A 磁化建模理论的质疑与修正方法研究[J].中国电机工程学报,2011,31(3):124-131.
Li Zhen,Li Qingmin,Li Changyun,et al.Queries on the J-A modeling theory of the magnetization process in ferromagnets and proposed correction method [J].Proceedings of the CSEE,2011,31(3):124-131.
[11]赵小军,李琳,程志光,等.基于直流偏磁实验的叠片铁心磁化特性分析[J].电工技术学报,2011,26(1):7-13.
Zhao Xiaojun,Li Lin,Cheng Zhiguang,et al.Analysis of magnetizing characteristic of laminated core based on the DC-biasing experiment[J].Transactions of China Electrotechnical Society,2011,26(1):7-13.
[12]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,et al.Analysis of the hysteresis and loss characteristics in the laminated core by fixed-point harmonic-balanced method[J].Transactions of China Electrotechnical Society,2014,29(7):10-18.
[13]Chandrasena W,Mclaren P G,Annakkage U D,et al.An improved low-frequency transformer model for use in GIC studies[J].IEEE Transactions Power Delivery,2004,19(2):645-650.
[14]白保东,赵晓旋,陈德志,等.基于J-A模型对直流偏磁条件下变压器励磁电流的模拟及实验研究[J].电工技术学报,2013,28(增刊2):162-166.
Bai Baodong,Zhao Xiaoxuan,Chen Dezhi,et al.Simulation and experiment research on transformer excitation current under DC magnetic bias based on J-A model[J].Transactions of China Electrotechnical Society,2013,28(S2),162-166.
[15]赵志刚,程志光,刘福贵,等.基于漏磁通补偿的导磁钢板直流偏磁杂散损耗特性模拟[J].电工技术学报,2015,30(8):38-44.
Zhao Zhigang,Cheng Zhiguang,Liu Fugui,et al.Modeling of the DC-biased stray-field loss of magnetic steel plate based on compensator of leakage flux[J].Transactions of China Electrotechnical Society,2015,30(8):38-44.
[16]Jiles D C,Atherton D L.Theory of ferromagnetic hysteresis[J].Journal of Magnetism and Magnetic Materials,1986,61(1-2):48-60.
[17]Jiles D C.Frequency dependence of hysteresis curves in conducting magnetic materials[J].Journal of Applied Physics,1994,76(10):5849-5855.
[18]赵小军,李琳,程志光,等.应用谐波平衡有限元法的变压器直流偏磁现象分析[J].中国电机工程学报,2010,30(21):103-108.
Zhao Xiaojun,Li Lin,Cheng Zhiguang,et al.Analysis of the DC bias phenomenon in transformers based on harmonic-balanced finite element method[J].Proceedings of the CSEE,2010,30(21):103-108.
[19]赵凯华,陈熙谋.铁磁学[M].3版.北京:高等教育出版社,2011.
[20]Chikazumi S.Physics of magnetism[M].New York:Wiley,1964.
2017, Vol. 32 
