Calculation of Magnetostriction Coefficient for Laser-Scribed Grain-Oriented Silicon Steel Based onMagnetic Domain Interaction

doi:10.11900/0412.1961.2018.00242

Acta Metall Sin

2019, Vol. 55

Issue (3): 362-368 DOI: 10.11900/0412.1961.2018.00242

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Calculation of Magnetostriction Coefficient for Laser-Scribed Grain-Oriented Silicon Steel Based onMagnetic Domain Interaction

Shuangjie CHU¹,Yongjie YANG¹,Zhenghua HE²,Yuhui SHA²(

),Liang ZUO^2,³

1. Baoshan Iron & Steel Cooperation Limited, Shanghai 201900, China
2. Key Laboratory for Anisotropy and Texture of Materials, Ministry of Education, Northeastern University, Shenyang 110819, China
3. Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China

Cite this article:

Shuangjie CHU,Yongjie YANG,Zhenghua HE,Yuhui SHA,Liang ZUO. Calculation of Magnetostriction Coefficient for Laser-Scribed Grain-Oriented Silicon Steel Based onMagnetic Domain Interaction. Acta Metall Sin, 2019, 55(3): 362-368.

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Abstract

Grain-oriented silicon steel is a key material used for iron cores of transformers because grain-oriented is most desirable for magnetic cores. With the rapid development of modern power industry, the requirement for grain-oriented silicon steel with lower magnetostriction and iron loss have exigent. Although the application of laser-scribed technology can effectively reduce iron loss by refining main magnetic domain in high permeability grain-oriented silicon steels, the influence of laser-scribing on the magnetostriction of grain-oriented silicon steel is still controversial due to the complex magnetic domain structure led by interaction among crystal orientation, surface tension and scribing parameters. In this work, a magnetostriction model for laser-scribed grain-oriented silicon steel is proposed based on the relationship between magnetostrictive coefficient and two kinds of 90° magnetic domain, stress closure domain and transverse domain, and the interaction effects of laser scribing parameters and orientation deviation angle (tilt angle of [001] easy axis out of sheet surface) are analyzed. The orientation deviation angle determines which 90° domain structure of either transverse domain or stress closure domain acts as the dominant factor for magnetostrictive behavior. The stress closure domain and stray magnetic field introduced by laser scribing can reduce the magnetostriction coefficient originated from orientation deviation angle. The theoretical calculation on the effects of laser-scribed energy density and laser-scribed spacing on magnetostriction coefficient is in agreement with the direct experimental measurement. The proposed model concerning the interaction between laser-scribing parameters and orientation deviation angle can provide the theoretical basis to reduce the noise of laser-scribed grain-oriented silicon steel.

Key words: magnetostriction magnetic domain grain-oriented silicon steel laser scribing orientation deviation angle

Received: 04 June 2018

ZTFLH:

TG113.2

Fund: National Key Research and Development Program of China(2016YFB0300305);National Natural Science Foundation of China(51671049);Baosteel Research Project(BGFZ18A09)

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	Shuangjie CHU
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	Liang ZUO

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https://www.ams.org.cn/EN/10.11900/0412.1961.2018.00242 OR https://www.ams.org.cn/EN/Y2019/V55/I3/362

Fig.1 Models of domain structures in grain-oriented silicon steel (W_L—length of lancet domain, W_w—width of lancet domain, W₉₀—width of closure domain, ND—normal direcition, RD—rolling direcrtion)(a) lancet domain and transverse domain (b) stress closure domain

Fig.2 Domain energies (E_main, E_lancet, E_closure) and stray field energy (E_stT) as a function of laser energy density (E_a) (E_main—energy of 180° domain wall, E_lancet—energy of lancet domain system, E_closure—energy of closure domain system, β—orientation deviation angle, D_p—laser-scribing spacing, D₂—laser-scribed width)

Fig.3 Dependence of magnetostriction coefficients on β under different E_a (λ_transverse—magnetostriction coefficient induced by transverse domain, λ_closure—magnetostriction coefficient induced by closure domain)

Fig.4 Magnetostriction coefficients as a function of E_a under the magnetic induction intensity B_m=1.7 T (a) and B_m=1.9 T (b) (B₈—magnetic induction intensity at external magnetic field of 800 A/m. The parameters for measurement and calculation are D_p=5 mm, B₈=1.93 T, β= 3.0°, D₂=0.1 mm)

Fig.5 Magnetostriction coefficients of grain-orientated silicon steel B23P095 as a function of E_a under B_m=1.7 T (a) and B_m=1.9 T (b) (D_p=4 mm, B₈=1.92 T, β= 3.5°, D₂=0.1 mm)

Fig.6 Magnetostriction coefficients as a function of D_p for different β (Sheet thickness 0.3 mm, laser-scribing depth 0.05 mm, tensile force of coating 10 MPa, laser-scribed depth D₁=0.05 mm, E_a=6 mJ/mm², D₂=0.1 mm)

Table 1 The comparison of measured and calculated magnetostriction coefficients vs laser-scribing spacing

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