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Computation of an anisotropic and nonlinear magnetic field by the finite element method
Kunický, Zdeněk ; Vejchodský, Tomáš (advisor) ; Křížek, Michal (referee)
In the present work we study the modelling of stationary magnetic fields in nonlinear anisotropic media by FEM. The magnetic characteristics of such materials are thoroughly examined and eventually applied to the construction of a full 2D model of an anisotropic steel sheet. Some improvements in the construction in comparison with the ones previously published are achieved. We also present an extension of a 3D model of steel and dielectric laminations for anisotropic sheets. We point out that the standard formulations and the subsequent theorems for the boundary value problems in fact do not correspond with the physical situation. Instead, we propose new formulations that reflect the real physical properties of matter. General existence and uniqueness theorems for the obtained boundary value problems are proved as well as the convergence theorems for the discrete solutions. Finally, the conventional and full 2D model of an anisotropic steel sheet are compared in two transformer core models using the adaptive Newton-Raphson iterative scheme and the obtained results are presented and analysed.
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The calculation of magnetic field distribution in nonlinear anisotropic media using the finite element method
Kunický, Zdeněk
Title: The calculation of magnetic field distribution in nonlinear anisotropic media Author: Zdeněk Kunický Department: Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University in Prague Supervisor: RNDr. Tomáš Vejchodský, Ph.D., Mathematical Institute of the Academy of Sciences of the Czech Republic Supervisor's e-mail address: vejchod@math.cas.cz Abstract: In the present work we study the modelling of stationary magnetic fields in nonlinear anisotropic media by FEM. The magnetic characteristics of such materials are thouroughly examined and eventually applied to the construction of a full 2D model of an anisotropic steel sheet. Some improvements in the construction in comparision with the ones previously published were achieved. We point out that the standard formulations and the subsequent theorems for the boundary value problems do not in fact correspond with the physical situation. Instead, we propose new formulations that reflect real physical properties of matter. General existence and uniqueness theorems for the obtained boundary value problems are proved as well as the convergence theo- rems for the discrete solutions. The conventional and full 2D model of an anisotropic steel sheet are compared in two transformer core models using the adaptive Newton- Raphson...
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The calculation of magnetic field distribution in nonlinear anisotropic media using the finite element method
Kunický, Zdeněk
Title: The calculation of magnetic field distribution in nonlinear anisotropic media Author: Zdeněk Kunický Department: Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University in Prague Supervisor: RNDr. Tomáš Vejchodský, Ph.D., Mathematical Institute of the Academy of Sciences of the Czech Republic Supervisor's e-mail address: vejchod@math.cas.cz Abstract: In the present work we study the modelling of stationary magnetic fields in nonlinear anisotropic media by FEM. The magnetic characteristics of such materials are thouroughly examined and eventually applied to the construction of a full 2D model of an anisotropic steel sheet. Some improvements in the construction in comparision with the ones previously published were achieved. We point out that the standard formulations and the subsequent theorems for the boundary value problems do not in fact correspond with the physical situation. Instead, we propose new formulations that reflect real physical properties of matter. General existence and uniqueness theorems for the obtained boundary value problems are proved as well as the convergence theo- rems for the discrete solutions. The conventional and full 2D model of an anisotropic steel sheet are compared in two transformer core models using the adaptive Newton- Raphson...
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Computation of an anisotropic and nonlinear magnetic field by the finite element method
Kunický, Zdeněk ; Křížek, Michal (referee) ; Vejchodský, Tomáš (advisor)
In the present work we study the modelling of stationary magnetic fields in nonlinear anisotropic media by FEM. The magnetic characteristics of such materials are thoroughly examined and eventually applied to the construction of a full 2D model of an anisotropic steel sheet. Some improvements in the construction in comparison with the ones previously published are achieved. We also present an extension of a 3D model of steel and dielectric laminations for anisotropic sheets. We point out that the standard formulations and the subsequent theorems for the boundary value problems in fact do not correspond with the physical situation. Instead, we propose new formulations that reflect the real physical properties of matter. General existence and uniqueness theorems for the obtained boundary value problems are proved as well as the convergence theorems for the discrete solutions. Finally, the conventional and full 2D model of an anisotropic steel sheet are compared in two transformer core models using the adaptive Newton-Raphson iterative scheme and the obtained results are presented and analysed.
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