Dynamics of magnetic field penetration into soft ferromagnets
We propose an approach to solve the coupled problem of the magnetic field penetration into soft ferromagnets and a frequency dependent magnetic hysteresis. The magnetic field diffusion is related to the macroscopic eddy currents. The hysteresis model is related to the microscopic eddy currents deriv...
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Published in | Journal of applied physics Vol. 117; no. 24 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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Melville
American Institute of Physics
28.06.2015
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Abstract | We propose an approach to solve the coupled problem of the magnetic field penetration into soft ferromagnets and a frequency dependent magnetic hysteresis. The magnetic field diffusion is related to the macroscopic eddy currents. The hysteresis model is related to the microscopic eddy currents derived from the magnetic domain wall movements, and is responsible for the frequency dependence of hysteresis loops. In this paper, based on a lumped model and fractional derivative operators, we demonstrate that it is possible to replace the coupled diffusion/dynamic hysteresis in a simplest formulation using fractional operators. Such a formulation can be solved easily. Instead of solving a 1D problem of diffusion, we show here that a lumped model with appropriate fractional time derivative operator can be an exact formulation of the problem. In addition, we confirm that the model is using experimental available information, obtained by standard single sheet tester measuring bench (the tangential surface excitation field, and the cross section average induction). |
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AbstractList | We propose an approach to solve the coupled problem of the magnetic field penetration into soft ferromagnets and a frequency dependent magnetic hysteresis. The magnetic field diffusion is related to the macroscopic eddy currents. The hysteresis model is related to the microscopic eddy currents derived from the magnetic domain wall movements, and is responsible for the frequency dependence of hysteresis loops. In this paper, based on a lumped model and fractional derivative operators, we demonstrate that it is possible to replace the coupled diffusion/dynamic hysteresis in a simplest formulation using fractional operators. Such a formulation can be solved easily. Instead of solving a 1D problem of diffusion, we show here that a lumped model with appropriate fractional time derivative operator can be an exact formulation of the problem. In addition, we confirm that the model is using experimental available information, obtained by standard single sheet tester measuring bench (the tangential surface excitation field, and the cross section average induction). We propose an approach to solve the coupled problem of the magnetic field penetration intosoft ferromagnets and a frequency dependent magnetic hysteresis. The magnetic fielddiffusion isrelated to the macroscopic eddy currents. The hysteresis model is related to the microscopiceddy currentsderived from the magnetic domain wall movements, and is responsible for the frequencydependence of hysteresis loops. In this paper, based on a lumped model and fractionalderivative operators, we demonstrate that it is possible to replace the coupleddiffusion/dynamic hysteresis in a simplest formulation using fractional operators. Such aformulation can be solved easily. Instead of solving a 1D problem of diffusion, we show here that alumped model with appropriate fractional time derivative operator can be an exactformulation of the problem. In addition, we confirm that the model is using experimentalavailable information, obtained by standard single sheet tester measuring bench (thetangential surface excitation field, and the cross section average induction). We propose an approach to solve the coupled problem of the magnetic field penetration into soft ferromagnets and a frequency dependent magnetic hysteresis. The magnetic field diffusion is related to the macroscopic eddy currents. The hysteresis model is related to the microscopic eddy currents derived from the magnetic domain wall movements, and is responsible for the frequency dependence of hysteresis loops. In this paper, based on a lumped model and fractional derivative operators, we demonstrate that it is possible to replace the coupled diffusion/dynamic hysteresis in a simplest formulation using fractional operators. Such a formulation can be solved easily. Instead of solving a 1D problem of diffusion, we show here that a lumped model with appropriate fractional time derivative operator can be an exact formulation of the problem. In addition, we confirm that the model is using experimental available information, obtained by standard single sheet tester measuring bench (the tangential surface excitation field, and the cross section average induction). © 2015 AIP Publishing LLC. |
Author | Litak, G. Guyomar, D. Ducharne, B. Sebald, G. |
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Cites_doi | 10.1007/BF02745588 10.1007/s11071-011-0207-z 10.1051/epjap:1999105 10.1063/1.333582 10.1115/1.4023010 10.1109/TCT.1964.1082270 10.1115/1.4000563 10.1063/1.1723212 10.1007/s11071-014-1883-2 10.1063/1.3393814 10.1088/0022-3727/40/19/042 10.1007/BF01349418 10.1109/20.179574 10.1155/2010/639801 10.1016/S0304-8853(02)01463-4 10.1103/RevModPhys.86.1169 10.1063/1.4861942 10.1109/20.767225 10.1103/PhysRevB.42.856 10.1109/20.43994 10.1109/TMAG.2007.916673 10.1109/TMAG.2004.824816 10.1103/PhysRev.80.1090 10.3390/e15104122 10.1088/0022-3727/41/12/125410 10.1007/s11071-008-9377-8 10.1063/1.1769093 10.1088/0022-3727/40/2/032 10.1109/20.703857 |
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Keywords | Frequency dependence Surface excitations Fractional operators Ferromagnetic materials Single sheet testers Hysteresis loops Magnets Magnetic field diffusion Fractional derivative operator Magnetic domains Problem solving Ferromagnetism Magnetic materials Magnetism Diffusion Magnetic fields Eddy currents Magnetic field penetrations Frequency dependent Hysteresis |
Language | English |
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References | (2023071421054950900_c11) 1995 (2023071421054950900_c21) 2010; 2010 (2023071421054950900_c2) 1999; 35 (2023071421054950900_c9) 1958; 7 (2023071421054950900_c30) 2004; 96 (2023071421054950900_c12) 1988; 24 (2023071421054950900_c1) 1999; 5 (2023071421054950900_c8) 2003; 261 (2023071421054950900_c22) 2013; 15 (2023071421054950900_c33) 2010 (2023071421054950900_c20) 2010; 63 (2023071421054950900_c18) 2010; 107 (2023071421054950900_c29) 2009; 56 (2023071421054950900_c16) 2008; 41 (2023071421054950900_c14) 1950; 80 (2023071421054950900_c28) 1964; 11 (2023071421054950900_c26) 2012; 68 (2023071421054950900_c31) 2014; 24 (2023071421054950900_c5) 1998; 34 (2023071421054950900_c10) 2007; 40 (2023071421054950900_c25) 1990; 42 (2023071421054950900_c32) 1999 (2023071421054950900_c4) 2008; 44 (2023071421054950900_c27) 2004 (2023071421054950900_c13) 1958; 29 (2023071421054950900_c3) 1992; 28 (2023071421054950900_c19) 2015; 80 (2023071421054950900_c6) 1935; 94 (2023071421054950900_c15) 2004; 40 (2023071421054950900_c7) 1984; 55 (2023071421054950900_c17) 2007; 40 (2023071421054950900_c24) 2014; 86 (2023071421054950900_c23) 2013; 8 |
References_xml | – volume: 7 start-page: 829 year: 1958 ident: 2023071421054950900_c9 publication-title: Nuovo Cimento doi: 10.1007/BF02745588 – volume: 68 start-page: 107 year: 2012 ident: 2023071421054950900_c26 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-011-0207-z – volume-title: Fractional Differential Equations year: 1999 ident: 2023071421054950900_c32 – volume: 5 start-page: 63 year: 1999 ident: 2023071421054950900_c1 publication-title: Eur. Phys. J. Appl. Phys. doi: 10.1051/epjap:1999105 – volume: 55 start-page: 2115 year: 1984 ident: 2023071421054950900_c7 publication-title: J. Appl. Phys. doi: 10.1063/1.333582 – volume: 8 start-page: 031008 year: 2013 ident: 2023071421054950900_c23 publication-title: J. Comput. Nonlinear Dyn. doi: 10.1115/1.4023010 – volume: 11 start-page: 210 year: 1964 ident: 2023071421054950900_c28 publication-title: IEEE Trans. Circuit Theory doi: 10.1109/TCT.1964.1082270 – volume: 63 start-page: 010801 year: 2010 ident: 2023071421054950900_c20 publication-title: Appl. Mech. Rev. doi: 10.1115/1.4000563 – volume: 29 start-page: 532 year: 1958 ident: 2023071421054950900_c13 publication-title: Appl. Phys. doi: 10.1063/1.1723212 – volume: 80 start-page: 491 year: 2015 ident: 2023071421054950900_c19 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-014-1883-2 – start-page: 4065 year: 1995 ident: 2023071421054950900_c11 article-title: Modeling of a non-linear conductive magnetic circuit: Part 1: Definition and experimental validation of an equivalent problem – volume: 107 start-page: 114108 year: 2010 ident: 2023071421054950900_c18 publication-title: J. Appl. Phys. doi: 10.1063/1.3393814 – volume: 40 start-page: 6048 year: 2007 ident: 2023071421054950900_c17 publication-title: J. Phys. D: Appl. Phys. doi: 10.1088/0022-3727/40/19/042 – volume: 94 start-page: 277 year: 1935 ident: 2023071421054950900_c6 publication-title: Z. Phys. doi: 10.1007/BF01349418 – volume-title: Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation year: 2010 ident: 2023071421054950900_c33 – volume: 28 start-page: 2614 year: 1992 ident: 2023071421054950900_c3 publication-title: IEEE Trans. Magn. doi: 10.1109/20.179574 – volume: 2010 start-page: 639801 year: 2010 ident: 2023071421054950900_c21 publication-title: Math. Probl. Eng. doi: 10.1155/2010/639801 – volume: 261 start-page: 139 year: 2003 ident: 2023071421054950900_c8 publication-title: J. Magn. Magn. Mater. doi: 10.1016/S0304-8853(02)01463-4 – volume: 86 start-page: 1169 year: 2014 ident: 2023071421054950900_c24 publication-title: Rev. Mod. Phys. doi: 10.1103/RevModPhys.86.1169 – volume: 24 start-page: 013107 year: 2014 ident: 2023071421054950900_c31 publication-title: Chaos doi: 10.1063/1.4861942 – volume: 35 start-page: 1398 year: 1999 ident: 2023071421054950900_c2 publication-title: IEEE Trans. Magn. doi: 10.1109/20.767225 – volume: 42 start-page: 856 year: 1990 ident: 2023071421054950900_c25 publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.42.856 – volume: 24 start-page: 621 year: 1988 ident: 2023071421054950900_c12 publication-title: IEEE Trans. Magn. doi: 10.1109/20.43994 – volume: 44 start-page: 1214 year: 2008 ident: 2023071421054950900_c4 publication-title: IEEE Trans. Magn. doi: 10.1109/TMAG.2007.916673 – volume: 40 start-page: 872 year: 2004 ident: 2023071421054950900_c15 publication-title: IEEE Trans. Magn. doi: 10.1109/TMAG.2004.824816 – volume: 80 start-page: 1090 year: 1950 ident: 2023071421054950900_c14 publication-title: Phys. Rev. doi: 10.1103/PhysRev.80.1090 – volume: 15 start-page: 4122 year: 2013 ident: 2023071421054950900_c22 publication-title: Entropy doi: 10.3390/e15104122 – start-page: 400 year: 2004 ident: 2023071421054950900_c27 – volume: 41 start-page: 125410 year: 2008 ident: 2023071421054950900_c16 publication-title: J. Phys. D: Appl. Phys. doi: 10.1088/0022-3727/41/12/125410 – volume: 56 start-page: 45 year: 2009 ident: 2023071421054950900_c29 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-008-9377-8 – volume: 96 start-page: 2785 year: 2004 ident: 2023071421054950900_c30 publication-title: J. Appl. Phys. doi: 10.1063/1.1769093 – volume: 40 start-page: 551 year: 2007 ident: 2023071421054950900_c10 publication-title: J. Phys. D: Appl. Phys. doi: 10.1088/0022-3727/40/2/032 – volume: 34 start-page: 2207 year: 1998 ident: 2023071421054950900_c5 publication-title: IEEE Trans. Magn. doi: 10.1109/20.703857 |
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Snippet | We propose an approach to solve the coupled problem of the magnetic field penetration into soft ferromagnets and a frequency dependent magnetic hysteresis. The... We propose an approach to solve the coupled problem of the magnetic field penetration intosoft ferromagnets and a frequency dependent magnetic hysteresis. The... |
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SubjectTerms | Applied physics Domain walls Eddy currents Engineering Sciences Ferromagnetism Hysteresis loops Hysteresis models Magnetic domains Magnetic fields Operators Penetration |
Title | Dynamics of magnetic field penetration into soft ferromagnets |
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