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. 2018 Oct 24;11(11):2079.
doi: 10.3390/ma11112079.

Modeling the Hysteresis Loop of Ultra-High Permeability Amorphous Alloy for Space Applications

Michał Nowicki  1 , Roman Szewczyk  2 , Tomasz Charubin  3 , Andriy Marusenkov  4 , Anton Nosenko  5 , Vasyl Kyrylchuk  6
Affiliations

Modeling the Hysteresis Loop of Ultra-High Permeability Amorphous Alloy for Space Applications

Michał Nowicki et al. Materials (Basel). .

Abstract

This paper presents investigation results regarding the Jiles-Atherton-based hysteresis loop modeling of ultra-high permeability amorphous alloy MELTA® MM-5Co. The measurement stand is capable of accurately measuring minor and major hysteresis loops for such a material together with exemplary measurement results. The main source of the measurement error is highlighted, which includes the Earth's field influence. The results of hysteresis loop modeling with the original Jiles-Atherton model and with two of its modifications are given. In all cases, the parameters of the Jiles-Atherton model were identified in two-step identification on the basis of a differential evolution optimization algorithm. The results indicate that both the original and modified Jiles-Atherton models are suitable for modeling the ultra-soft amorphous alloy. However, the hysteresis model's parameters vary significantly.

Keywords: high permeability; hysteresis modeling; soft magnetic materials.

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Conflict of interest statement

The authors declare no conflict of interest. The funders had no role in the design of the study, in the collection, analyses, or interpretation of the data, in the writing of the manuscript, or in the decision to publish the results.

Figures

Figure 1
Figure 1
Typical sample used in the investigation, a ring-shaped core with a small cross-section, with 400 sensing windings, ensuring high measurement signal. Magnetization was provided with a straight magnetizing rod, which ensured a homogenous magnetizing field in the sample.
Figure 2
Figure 2
Differential scanning calorimetry investigation of the Co67Fe3Cr3B12Si15 amorphous alloy.
Figure 3
Figure 3
Schematic diagram of the developed Ferrograph system [17].
Figure 4
Figure 4
Dependence of measured maximal induction Bm value on the external homogeneous field. Values normalized with a Bmax for an external field equal 0 ± 0.01 μT in all three axes. Each of the axes were investigated separately. The obtained values for fields in the plane of the ring sample (X and Y) are similar while the influence of the transverse field (Z axis, along the axis of the ring core) is negligible.
Figure 5
Figure 5
The measurement results for the ring-shaped core made of the amorphous Co67Fe3Cr3B12Si15 alloy was annealed for 1 h at 440 °C in the presence of magnetic field H, which is equal to 40 kA/m applied in the direction of the amorphous alloy ribbon. The maximal points of the minor hysteresis loops follow the normal magnetization curve (blue line—hysteresis loop for magnetizing field Hm = 0.5 A/m; green line—Hm = 1.5 A/m; red line—Hm = 3 A/m).
Figure 6
Figure 6
An anhysteretic magnetization curve (black line) is determined in Step 1 on the base of major hysteresis loop measurement results (red line).
Figure 7
Figure 7
Modeling results (black lines) according to Equation (7). The measurement results are presented as red lines.
See this image and copyright information in PMC

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