Modeling of Electrical Machines Hysteresis Losses Under Mechanical Stresses

Silva, Indiara P. C. da; Miranda, Rodrigo A.; Sadowski, Nelson; Batistela, Nelson J.; Bernard, Laurent D.; Bastos, João Pedro A.

doi:10.1590/2179-10742024v23i3283838

Acessibilidade / Reportar erro

Brasil

Journal of Microwaves, Optoelectronics and Electromagnetic Applications

Español English

Brasil

Español English

sumário « anterior atual seguinte »

Sumário

Article • J. Microw. Optoelectron. Electromagn. Appl. 23 (3) • 2024 • https://doi.org/10.1590/2179-10742024v23i3283838 copy

Modeling of Electrical Machines Hysteresis Losses Under Mechanical Stresses

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract

The effect of mechanical stress on hysteresis losses of electrical steel sheets is investigated in this paper. Experimental data obtained from a dedicated bench are used in a curve fitting procedure to analyze the parameters behavior for a hysteresis losses model over a range of mechanical compressive and tensile stresses. By applying the concept of equivalent stress, a finite element model is simulated, and the hysteresis losses are a posteriori calculated considering an equivalent stress distribution over a single-phase induction motor stator.

Index Terms
Electrical Machines; Finite Element Method; Hysteresis Losses; Magneto-mechanical coupling.

Model	Formulation	References
1	$W_{h_{1}} = K_{h_{1}} B_{p}^{α_{01}}$	[⁸[8] C. P. Steinmetz, “On the law of hysteresis”, Proceedings of the IEEE, vol.72, 1984, doi: 10.1109/PROC.1984.12842. https://doi.org/10.1109/PROC.1984.12842.... ]
2	$W_{h_{2}} = K_{h_{2}} B_{p}^{α_{0}_{2} + α_{1_{2}} B_{p}}$	[⁹[9] M. I. Miller, T. J. E.; McGilp, “PC-BDC 6.5 for Windows-Software.” SPEED Laboratory, University of Glasgow, 2004.]
3	$W_{h_{3}} = K_{h_{3}} B_{p}^{α_{0}_{3} + α_{1}_{3} B_{p} + α_{2_{3}} B_{p}^{2}}$	[¹⁰[10] Y. Chen and P. Pillay, “An improved formula for lamination core loss calculations in machines operating with high frequency and high flux density excitation”, IEEE Industry Applications Society, vol. 2, pp. 759-766, 2002, doi: 10.1109/IAS.2002.1042645. https://doi.org/10.1109/IAS.2002.1042645... ]
4	$W_{h_{4}} = K_{h_{4}} B_{p}^{α_{0}_{4} + α_{1_{4}} B_{p} + α_{2_{4}} B_{p}^{2} + α_{3}_{4} B_{p}^{3}}$	[¹¹[11] D. M. Ionel et al., “On the variation with flux and frequency of the core loss coefficients in electrical machines,” IEEE Transactions on Industry Application, vol. 42, no. 3, pp. 658-667, 2006, doi: 10.1109/TIA.2006.872941. https://doi.org/10.1109/TIA.2006.872941.... ]
5	$W_{h_{5}} = x_{1_{5}} B_{p} + x_{2_{5}} B_{p}^{2}$	[¹²[12] N. J. Batistela, Characterization and electromagnetic modeling of Silicon-steel sheets, PhD Dissertation, University Federal of Santa Catarina, 2001.]
6	$W_{h_{6}} = x_{0_{6}} + x_{1_{6}} B_{p} + x_{2_{6}} B_{p}^{2} + x_{3_{6}} B_{p}^{3} + x_{4_{6}} B_{p}^{4} + x_{5_{6}} B_{p}^{5} + x_{6_{6}} B_{p}^{6}$	[¹³[13] B. J. Mailhé, Characterization and modelling of the magnetic behaviour of electrical steel under mechanical, PhD Dissertation, University Federal of Santa Catarina, 2018.]

g_k(σ)
Parameter	K_h₄	α_0₄	α_3₄
c₀	-0.0799	7.0457	0.1010
c₁	0.1645	0.1353	0.0863
c₂	2.0046	2.1080	0.5571
c₃	-0.0723	6.7549	0.0216
c₄	-0.1757	0.1400	0.3961
c₅	2.1370	-2.1605	5.4053
c₆	0.0215	1.2905	0.0537
R²	0.9915	0.9960	0.9892

Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo Praça Mauá, n°1, 09580-900 São Caetano do Sul - S. Paulo/Brasil, Tel./Fax: (55 11) 4238 8988 - São Caetano do Sul - SP - Brazil
E-mail: editor_jmoe@sbmo.org.br

Acompanhe os números deste periódico no seu leitor de RSS