Analysis of vector hysteresis models in comparison to anhysteretic magnetization model

Analysis of vector hysteresis models in comparison to anhysteretic magnetization model
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矢量磁滞模型与非磁滞磁化模型的比较分析

DOI:
10.1051/epjap/2020200019
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发表时间:
2020
期刊:
The European Physical Journal Applied Physics
影响因子:
--
通讯作者:
K. Hameyer
K. Hameyer
中科院分区:
--
文献类型:
--
作者:
X. Xiao;F. Müller;G. Bavendiek;K. Hameyer

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电机和磁致动器的设计需要精确的模型来表示铁磁材料中的磁滞效应。铁芯的磁非线性通常用无滞回磁化曲线来考虑。在此假设下,可以完全忽略迟滞效应对计算结果的影响。针对矢量非滞回各向异性模型,对不同滞回模型,特别是实用代数模型(PAM)和矢量停止模型进行了比较研究。PAM原来是一个有效的模型实现了一个数学方程。多细胞停止模型依赖于一致的热力学公式,其耗散对应于干摩擦样元素。这两种模型都实现了本构关系,其中磁通密度矢量作为独立的输入和磁场强度作为输出。利用旋转式单片试验机(RSST),对硅含量为2.4wt%的FeSi 24 - 50 A(FeSi)材料试样,在相应的场分布下进行各种试验。利用实测数据对模型进行参数化和验证。通过数值试验,将计算结果与各向异性无滞回模型的计算结果进行了比较。
The design of electrical machines and magnetic actuators requires accurate models to represent hysteresis effects in ferromagnetic materials. The magnetic nonlinearity of the iron core is usually considered by an anhysteretic magnetization curve. With this assumption, hysteresis’ effects in the field computation are completely neglected. This paper presents a comparative study of different hysteresis models, particularly Pragmatic Algebraic Model (PAM) and vector stop model, with regard to a vector anhysteretic anisotropic model. The PAM turns out to be an efficient model implemented with one mathematical equation. The multi cells stop model relies on a consistent thermodynamic formulation, whose dissipation corresponds to a dry friction-like element. Both models implement a constitutive relationship, in which the magnetic flux density vector as independent input and magnetic field strength as output. With a rotational single sheet tester (RSST), various tests for a sample of material FeSi24-50A (FeSi) with a silicon proportion of 2.4 wt% can be proceeded under the application of relevant field distribution. The obtained measured data are applied to parameterize and validate the models. Following numerical experiments the results are compared with those obtained by means of an anhysteretic anisotropic model.
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