journal article·2020-06-01Open access

Representation of anisotropic magnetic characteristic observed in a non-oriented silicon steel sheet

B. Upadhaya, L. Perkkiö, P. Rasilo, A. Belahcen, P. Handgruber, A. Arkkio

AIP Advances· Volume 10· Issue 6

Abstract

This article presents a modified Jiles–Atherton hysteresis model for a weakly anisotropic non-oriented silicon steel sheet. In a toroidal inductor, the magnetic flux density can point toward any direction compared to the sheet orientation, and the hysteresis model should take this into account. We identify the model parameters independently for unidirectional alternating B(H)-characteristics in seven different directions. Then, we construct an anisotropic hysteresis model, where the model parameters can depend on the magnitude and direction of the applied magnetic flux density. We demonstrate that the parameters identified in the rolling and transverse directions of the silicon steel sheet (M400-50A) are sufficient to describe the hysteresis losses in other directions.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Magnetic Properties and Applications · Magnetic properties of thin films · Microstructure and Mechanical Properties of Steels

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Electrical Engineering and Automation, Aalto University 1 , FI-00076 Espoo, Finland

Department of Mathematics and Systems Analysis, Aalto University 2 , FI-00076 Espoo, Finland

Unit of Electrical Engineering, Tampere University 3 , FI-33014 Tampere, Finland

Institute of Fundamentals and Theory in Electrical Engineering, Graz University of Technology 4 , Graz A-8010, Austria

References (48)

Show source-provided references
1. Macroscopic anisotropy characterization of SiFe using a rotational single sheet tester10.1109/20.489857 ↗
2. Anisotropic properties of non-oriented steel sheets10.1049/iet-epa.2013.0087 ↗
3. Anisotropy of losses in non-oriented iron silicon sheets: Influence on electrical machine applications10.1109/tmag.2015.2494856 ↗
4. Modeling of two-dimensional magnetic properties based on one-dimensional magnetic measurements10.1109/tmag.2012.2198878 ↗
5. Effect of grain size, deformation, aging and anisotropy on hysteresis loss of electrical steels10.1016/s0304-8853(00)00076-7 ↗
6. Anisotropic generalization of vector Preisach hysteresis models for nonoriented steels10.1109/tmag.2014.2353691 ↗
7. Theory of ferromagnetic hysteresis10.1016/0304-8853(86)90066-1 ↗
8. Numerical determination of hysteresis parameters for the modelling of magnetic properties using the theory of ferromagnetic hysteresis10.1109/20.119813 ↗
9. A model of anisotropic anhysteretic magnetization10.1109/20.539344 ↗
10. Hysteresis modelling of the GO laminations for arbitrary in-plane directions taking into account the dynamics of orthogonal domain walls10.1016/j.jmmm.2016.02.007 ↗
11. 2003
12. A dynamical vector hysteresis model based on an energy approach10.1109/tmag.2006.872473 ↗
13. Comparison of Preisach and Jiles–Atherton models to take into account hysteresis phenomenon for finite element analysis10.1016/s0304-8853(02)01463-4 ↗
14. A simple vector generalization of the Jiles–Atherton model of hysteresis10.1109/20.539337 ↗
15. Modelling dynamic losses under rotational magnetic flux10.1109/tmag.2011.2173755 ↗
16. Modelling anisotropy in non-oriented electrical steel sheet using vector Jiles–Atherton model10.1108/compel-09-2016-0399 ↗
17. Differential phenomenological models for the magnetization processes in soft MnZn ferrites10.1109/20.650244 ↗
18. Coupled magnetoelastic theory of magnetic and magnetostrictive hysteresis10.1109/20.221036 ↗
19. On the parameter identification and application of the Jiles–Atherton hysteresis model for numerical modeling of measured characteristics10.1109/20.767167 ↗
20. Evaluation of hysteresis loss using variable pinning parameter10.1108/03321640310459252 ↗
21. Fitting experimental anhysteretic curves of ferromagnetic materials and investigation of the effect of temperature and tensile stress10.1016/0304-8853(96)00248-x ↗
22. Introducing a domain flexing function in the Jiles-Atherton hysteresis model10.1016/j.jmmm.2007.08.016 ↗
23. Numerical modeling of static hysteresis loop using variable parameters10.1002/jnm.1915 ↗
24. Modelling magnetic properties of high silicon steel10.1016/j.jmmm.2009.11.006 ↗
25. Inverse Jiles–Atherton vector hysteresis model10.1109/tmag.2004.830998 ↗
26. An inverse Jiles–Atherton model to take into account hysteresis in time-stepping finite-element calculations10.1109/20.996206 ↗
27. 2009
28. 1972
29. 2000 · 66
30. Generalization of hysteresis modeling to anisotropic materials10.1063/1.364843 ↗
31. Generalized form of anhysteretic magnetization function for Jiles–Atherton theory of hysteresis10.1063/1.3249581 ↗
32. 1997
33. Anhysteretic functions for the Jiles–Atherton model10.1109/tmag.2014.2354315 ↗
34. Suitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel grades10.1063/1.4975135 ↗
35. Reversible magneto-elastic behavior: A multiscale approach10.1016/j.jmps.2007.06.003 ↗
36. Numerical optimization of a hysteresis model10.1016/j.physb.2003.08.046 ↗
37. On physical aspects of the Jiles–Atherton hysteresis models10.1063/1.4747915 ↗
38. 2009
39. 1998
40. The Jiles–Atherton model with variable pinning parameter10.1109/tmag.2003.812716 ↗
41. Examination of the equivalence of ferromagnetic hysteresis models describing the dependence of magnetization on magnetic field and stress10.1109/tmag.2008.2009877 ↗
42. Representation of microstructural features and magnetic anisotropy of electrical steels in an energy-based vector hysteresis model10.1063/1.4994199 ↗
43. Comparison of anisotropic Energy-based and Jiles–Atherton models of ferromagnetic hysteresis10.1109/tmag.2020.2964745 ↗
44. Extension of the model of the magnetic characteristics of anisotropic metallic glasses10.1088/0022-3727/40/14/002 ↗
45. Softcomputing for the identification of the Jiles–Atherton model parameters10.1109/tmag.2004.843345 ↗
46. Optimizing the Jiles–Atherton model of hysteresis by a genetic algorithm10.1109/20.917182 ↗
47. Identification of Jiles-Atherton model parameters using particle swarm optimization10.1109/tmag.2007.914867 ↗
48. Vector hysteresis model associated with FEM in a self-excited induction generator modeling10.1109/tmag.2015.2483201 ↗