Temperature and Frequency Dependence of Magnetic Losses in Fe-Co
We investigate the temperature dependence of the energy loss <inline-formula> <tex-math notation="LaTeX">$W(f)$ </tex-math></inline-formula> of 0.10 and 0.20 mm thick Fe-Co-V sheets (Vacoflux Ⓡ and Vacodur Ⓡ) in the range −50 &#x...
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10274079/ |
| _version_ | 1797659033209929728 |
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| author | Nicoleta Banu Enzo Ferrara Massimo Pasquale Fausto Fiorillo Olivier De La Barriere Daniel Brunt Adam Wilson Stuart Harmon |
| author_facet | Nicoleta Banu Enzo Ferrara Massimo Pasquale Fausto Fiorillo Olivier De La Barriere Daniel Brunt Adam Wilson Stuart Harmon |
| author_sort | Nicoleta Banu |
| collection | DOAJ |
| description | We investigate the temperature dependence of the energy loss <inline-formula> <tex-math notation="LaTeX">$W(f)$ </tex-math></inline-formula> of 0.10 and 0.20 mm thick Fe-Co-V sheets (Vacoflux Ⓡ and Vacodur Ⓡ) in the range −50 °C <inline-formula> <tex-math notation="LaTeX">$\le T \le155 ^{\circ }\text{C}$ </tex-math></inline-formula>. The measurements, performed from DC to <inline-formula> <tex-math notation="LaTeX">${f}$ </tex-math></inline-formula> = 5 kHz on ring samples and Epstein strips, show that <inline-formula> <tex-math notation="LaTeX">$W(f)$ </tex-math></inline-formula> passes through a minimum value around room temperature at all tested polarization values (<inline-formula> <tex-math notation="LaTeX">$1.0\le J_{\mathrm {p}} \le1.9$ </tex-math></inline-formula> T). The largest effect occurs under quasi-static regime and declines with frequency, depending on the sheet thickness and the ensuing role of the dynamic loss. The somewhat abnormal increase of the quasi-static loss <inline-formula> <tex-math notation="LaTeX">$W_{\mathrm {hyst}}$ </tex-math></inline-formula> with temperature, which contrasts with a concurrent decrease of the magnetocrystalline anisotropy constant, is interpreted in terms of temperature-dependent internal stresses and their change with <inline-formula> <tex-math notation="LaTeX">$T$ </tex-math></inline-formula>. The stresses are assumed to derive from the different thermal expansion coefficients of the ordered and disordered structural phases, a conclusion made plausible by the highly magnetostrictive properties of the material, dwelling in a low anisotropy environment. The AC properties are treated by adapting the loss decomposition to the inception and development of a non-uniform induction profile across the sheet thickness (skin effect) at high frequencies. The classical loss component is calculated via the numerical solution of the Maxwell’s diffusion equation, where the magnetic constitutive equation of the material is identified with the normal magnetization curve. It turns out that the so-found <inline-formula> <tex-math notation="LaTeX">$W_{\mathrm {class}}(f)$ </tex-math></inline-formula> and the resulting excess loss <inline-formula> <tex-math notation="LaTeX">$W_{\mathrm {exc}}(f)$ </tex-math></inline-formula> are moderately dependent on temperature and <inline-formula> <tex-math notation="LaTeX">$W(f)$ </tex-math></inline-formula> eventually tends towards a slow monotonical decrease with <inline-formula> <tex-math notation="LaTeX">${T}$ </tex-math></inline-formula> at the highest frequencies. |
| first_indexed | 2024-03-11T18:09:04Z |
| format | Article |
| id | doaj.art-3a42b9cd5adf49879ce10d98ba28ec23 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-03-11T18:09:04Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
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| series | IEEE Access |
| spelling | doaj.art-3a42b9cd5adf49879ce10d98ba28ec232023-10-16T23:00:31ZengIEEEIEEE Access2169-35362023-01-011111142211143210.1109/ACCESS.2023.332294110274079Temperature and Frequency Dependence of Magnetic Losses in Fe-CoNicoleta Banu0Enzo Ferrara1https://orcid.org/0000-0001-7254-8065Massimo Pasquale2https://orcid.org/0000-0002-8336-1391Fausto Fiorillo3https://orcid.org/0000-0003-0298-7251Olivier De La Barriere4Daniel Brunt5Adam Wilson6Stuart Harmon7https://orcid.org/0000-0002-7011-0067Advanced Materials Metrology and Life Sciences Division, Istituto Nazionale di Ricerca-Metrologica (INRIM), Turin, ItalyAdvanced Materials Metrology and Life Sciences Division, Istituto Nazionale di Ricerca-Metrologica (INRIM), Turin, ItalyAdvanced Materials Metrology and Life Sciences Division, Istituto Nazionale di Ricerca-Metrologica (INRIM), Turin, ItalyAdvanced Materials Metrology and Life Sciences Division, Istituto Nazionale di Ricerca-Metrologica (INRIM), Turin, ItalyLaboratoire SATIE, CNRS—ENS Paris-Saclay, Gif sur Yvette, FranceNational Physical Laboratory, Teddington, U.KNational Physical Laboratory, Teddington, U.KNational Physical Laboratory, Teddington, U.KWe investigate the temperature dependence of the energy loss <inline-formula> <tex-math notation="LaTeX">$W(f)$ </tex-math></inline-formula> of 0.10 and 0.20 mm thick Fe-Co-V sheets (Vacoflux Ⓡ and Vacodur Ⓡ) in the range −50 °C <inline-formula> <tex-math notation="LaTeX">$\le T \le155 ^{\circ }\text{C}$ </tex-math></inline-formula>. The measurements, performed from DC to <inline-formula> <tex-math notation="LaTeX">${f}$ </tex-math></inline-formula> = 5 kHz on ring samples and Epstein strips, show that <inline-formula> <tex-math notation="LaTeX">$W(f)$ </tex-math></inline-formula> passes through a minimum value around room temperature at all tested polarization values (<inline-formula> <tex-math notation="LaTeX">$1.0\le J_{\mathrm {p}} \le1.9$ </tex-math></inline-formula> T). The largest effect occurs under quasi-static regime and declines with frequency, depending on the sheet thickness and the ensuing role of the dynamic loss. The somewhat abnormal increase of the quasi-static loss <inline-formula> <tex-math notation="LaTeX">$W_{\mathrm {hyst}}$ </tex-math></inline-formula> with temperature, which contrasts with a concurrent decrease of the magnetocrystalline anisotropy constant, is interpreted in terms of temperature-dependent internal stresses and their change with <inline-formula> <tex-math notation="LaTeX">$T$ </tex-math></inline-formula>. The stresses are assumed to derive from the different thermal expansion coefficients of the ordered and disordered structural phases, a conclusion made plausible by the highly magnetostrictive properties of the material, dwelling in a low anisotropy environment. The AC properties are treated by adapting the loss decomposition to the inception and development of a non-uniform induction profile across the sheet thickness (skin effect) at high frequencies. The classical loss component is calculated via the numerical solution of the Maxwell’s diffusion equation, where the magnetic constitutive equation of the material is identified with the normal magnetization curve. It turns out that the so-found <inline-formula> <tex-math notation="LaTeX">$W_{\mathrm {class}}(f)$ </tex-math></inline-formula> and the resulting excess loss <inline-formula> <tex-math notation="LaTeX">$W_{\mathrm {exc}}(f)$ </tex-math></inline-formula> are moderately dependent on temperature and <inline-formula> <tex-math notation="LaTeX">$W(f)$ </tex-math></inline-formula> eventually tends towards a slow monotonical decrease with <inline-formula> <tex-math notation="LaTeX">${T}$ </tex-math></inline-formula> at the highest frequencies.https://ieeexplore.ieee.org/document/10274079/Fe-Co alloysmagnetic energy losstemperatureskin effectsoft magnetic materials |
| spellingShingle | Nicoleta Banu Enzo Ferrara Massimo Pasquale Fausto Fiorillo Olivier De La Barriere Daniel Brunt Adam Wilson Stuart Harmon Temperature and Frequency Dependence of Magnetic Losses in Fe-Co IEEE Access Fe-Co alloys magnetic energy loss temperature skin effect soft magnetic materials |
| title | Temperature and Frequency Dependence of Magnetic Losses in Fe-Co |
| title_full | Temperature and Frequency Dependence of Magnetic Losses in Fe-Co |
| title_fullStr | Temperature and Frequency Dependence of Magnetic Losses in Fe-Co |
| title_full_unstemmed | Temperature and Frequency Dependence of Magnetic Losses in Fe-Co |
| title_short | Temperature and Frequency Dependence of Magnetic Losses in Fe-Co |
| title_sort | temperature and frequency dependence of magnetic losses in fe co |
| topic | Fe-Co alloys magnetic energy loss temperature skin effect soft magnetic materials |
| url | https://ieeexplore.ieee.org/document/10274079/ |
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