基于Sablik-Preisach模型的非晶合金磁滞与磁致伸缩特性模拟方法  

Simulation of Hysteresis and Magnetostriction Properties of Amorphous Alloys Based on Sablik-Preisach Model

作　　者：赵小军[1] 窦富城 徐永生 傅明利 刘磊 刘兰荣 ZHAO Xiaojun;DOU Fucheng;XU Yongsheng;FU Mingli;LIU Lei;LIU Lanrong(Department of Electrical Engineering,North China Electric Power University,Baoding 071003,China;Southern Power Grid Research Institute Co.,Ltd.,Guangzhou 510080,China;Hebei Provincial Key Laboratory of Electromagnetic&Structural Performance of Power Transmission and Transformation Equipment,Baoding 071056,China)

机构地区：[1]华北电力大学电力工程系,保定071003 [2]南方电网科学研究院有限责任公司,广州510080 [3]河北省输变电装备电磁与结构性能重点实验室,保定071056

出　　处：《高电压技术》2024年第10期4407-4418,共12页High Voltage Engineering

基　　金：国家自然科学基金(52177006);北京市自然科学基金(3212036)。

摘　　要：非晶铁芯具有优异的高频磁性能,但较电工钢等软磁材料具有更显著的磁致伸缩效应,在高频及谐波激励下的磁致伸缩特性较为复杂。该文基于内能最小原理,根据磁滞能量密度函数描述磁滞与磁致伸缩的耦合关系,并利用磁畴能量沿磁场方向贡献的总和表示无磁滞磁化强度,建立以磁滞效应为基础的Sablik模型。采用将基本磁化曲线线性分段的方法对涡流损耗的表达式进行修正,进而建立动态Preisach模型,引入铁磁材料的非线性本构关系,构造单频正弦激励下磁滞与磁致伸缩解析表达式,并提出相应参数辨识方法。在谐波激励下,基于线性叠加原理推导对应场量的表达式,并进一步提出谐波激励下非晶合金的磁滞与磁致伸缩特性模拟方法。最后,模拟了非晶合金材料分别在正弦和谐波激励下的磁滞回线与磁致伸缩回线,通过与测量结果及传统方法进行对比,结果表明所提方法在正弦和谐波激励下的损耗与磁致伸缩误差分别小于5%与10%,验证了所提方法的准确性和通用性。Amorphous iron cores have excellent high-frequency magnetic properties,but have more significant magnetostrictive effects than soft magnetic materials such as electrical steel,and the magnetostrictive properties under high-frequency and harmonic excitation are more complicated.In this paper,based on the principle of minimum internal energy,the coupling relationship between hysteresis and magnetostriction is described according to the hysteresis energy density function,and the hysteresis-free magnetisation strength is expressed by the sum of the contributions of magnetic domain energy along the magnetic field direction,so as to establish the Sablik model based on the hysteresis effect.The expression of eddy current loss is corrected by the method of linear segmentation of the basic magnetisation curve,and then the dynamic Preisach model is established.The nonlinear intrinsic relationship of ferromagnetic materials is introduced to construct the analytical expressions of hysteresis and magnetostriction under single-frequency sinusoidal excitation,and the corresponding parameter identification methods are proposed.Under harmonic excitation,the expressions of the corresponding field quantities are derived based on the principle of linear superposition,and the simulation methods of hysteresis and magnetostriction properties of amorphous alloy under harmonic excitation are further proposed.Finally,the hysteresis and magnetostrictive loops of amorphous alloy material under sinusoidal and harmonic excitations are simulated,respectively.By comparing the results with measurements and conventional methods,the results show that the loss and magnetostriction errors of the proposed method are less than 5%and 10%for sinusoidal and harmonic excitations,respectively,which verifies the accuracy and versatility of the proposed method.

关 键 词：非晶合金 磁畴能量 Sablik模型 PREISACH模型 谐波激励 

分 类 号：TM27[一般工业技术—材料科学与工程] TM40[电气工程—电工理论与新技术]