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Application of Steinmetz Formula in M-Type Barium Ferrite

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Abstract

The AC magnetic parameters of the “softened” BaTi1.2Co1.2Fe8.6O19-σ samples were measured using a B-H analyzer. As magnetic induction intensity amplitude Bm increases, quality factor Q first decreases and then increases. The growth rate of magnetic loss power Pcv is different in different Bm intervals. According to Steinmetz formula, Pcv (Bm) relationships in different Bm intervals were fitted, and Q (Bm) relationships were derived; the change trend of Q with Bm was semi-quantitatively explained. In different Bm intervals, as Bm increases, the growth rate of hysteresis loop area A is also different. The most intuitive manifestation is that the shape of the hysteresis loops has changed significantly. When Bm is low, the shape is “elliptical,” and as Bm increases, A increases faster. When Bm is high, the shape of the loops gradually evolves into “S-shape.” The ends of the loops become sharp and curved, and the growth rate of A slows down. The variation trend of Pcv with Bm obtained from Steinmetz formula is consistent with the variation trend of hysteresis loop area and shape.

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Funding

This work was supported by the National Key R&D Program of China (Grant Nos. 2021YFB3502400 and 2022YFB3504800) and the Key Research and Development Plan of Anhui Province (Nos. 202003a05020051 and 202003c08020012).

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Authors and Affiliations

  1. School of Physics and Optoelectronic Engineering, Anhui University, Hefei, 230601, China

    Qingrong Lv

  2. School of Materials Science and Engineering, Engineering Technology Research Center of Magnetic Materials, Anhui University, Hefei, 230601, China

    Shoujin Zhu, Shuangjiu Feng, Xiansong Liu, Xucai Kan & Yang Yujie

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  1. Qingrong Lv
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  2. Shoujin Zhu
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  3. Shuangjiu Feng
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  4. Xiansong Liu
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Correspondence to Shuangjiu Feng.

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Lv, Q., Zhu, S., Feng, S. et al. Application of Steinmetz Formula in M-Type Barium Ferrite. J Supercond Nov Magn 36, 1991–1996 (2023). https://doi.org/10.1007/s10948-023-06642-0

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  • DOI: https://doi.org/10.1007/s10948-023-06642-0

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