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Électromagnétisme, en vue de la modélisation

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Release : 2004-03-11
Genre : Science
Kind : eBook
Book Rating : 202/5 ( reviews)

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Book Synopsis Électromagnétisme, en vue de la modélisation by : Alain Bossavit

Download or read book Électromagnétisme, en vue de la modélisation written by Alain Bossavit. This book was released on 2004-03-11. Available in PDF, EPUB and Kindle. Book excerpt: Comment poser et résoudre les équations de Maxwell ? On présente ici les outils nécessaires : formulations faibles, éléments d’arêtes, méthodes intégrales, en insistant sur la modélisation, c’est-à-dire la « mise en équations » de situations concrètes : il y a en effet, pour chaque catégorie de problèmes en électrotechnique un modèle mathématique approprié, qu’il faut savoir dériver des équations fondamentales. Depuis sa rédaction, ce cours a été enseigné dans plusieurs formations doctorales européennes, destinées à des ingénieurs en électrotechnique et à des étudiants en analyse numérique.

Electromagnétisme, en vue de la modélisation

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Release : 1993-01-01
Genre : Electromagnetism
Kind : eBook
Book Rating : 223/5 ( reviews)

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Book Synopsis Electromagnétisme, en vue de la modélisation by : Alain Bossavit

Download or read book Electromagnétisme, en vue de la modélisation written by Alain Bossavit. This book was released on 1993-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Comment poser et résoudre les équations de Maxwell ? On présente ici les outils nécessaires : formulations faibles, éléments d’arêtes, méthodes intégrales, en insistant sur la modélisation, c’est-à-dire la « mise en équations » de situations concrètes : il y a en effet, pour chaque catégorie de problèmes en électrotechnique (chauffage par induction, machines et moteurs électriques, cavités résonnantes, etc.), un modèle mathématique approprié, qu’il faut savoir dériver des équations fondamentales. Pour chacun des modèles étudiés dans ce livre (« Maxwell complet », « conduction », « ondes en milieu borné », etc.) on donne la formulation appropriée et la version « discrétisée », c’est-à-dire exploitable sur un ordinateur, que la méthode des éléments finis permet d’en déduire.

The Finite Element Method for Electromagnetic Modeling

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Release : 2010-01-05
Genre : Science
Kind : eBook
Book Rating : 807/5 ( reviews)

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Book Synopsis The Finite Element Method for Electromagnetic Modeling by : Gérard Meunier

Download or read book The Finite Element Method for Electromagnetic Modeling written by Gérard Meunier. This book was released on 2010-01-05. Available in PDF, EPUB and Kindle. Book excerpt: Written by specialists of modeling in electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail. Chapters 1 to 4 present general 2D and 3D static and dynamic formulations by the use of scalar and vector unknowns and adapted interpolations for the fields (nodal, edge, face or volume). Chapter 5 is dedicated to the presentation of different macroscopic behavior laws of materials and their implementation in a finite element context: anisotropy and hysteretic properties for magnetic sheets, iron losses, non-linear permanent magnets and superconductors. More specific formulations are then proposed: the modeling of thin regions when finite elements become misfit (Chapter 6), infinite domains by using geometrical transformations (Chapter 7), the coupling of 2D and 3D formulations with circuit equations (Chapter 8), taking into account the movement, particularly in the presence of Eddy currents (Chapter 9) and an original approach for the treatment of geometrical symmetries when the sources are not symmetric (Chapter 10). Chapters 11 to 13 are devoted to coupled problems: magneto-thermal coupling for induction heating, magneto-mechanical coupling by introducing the notion of strong and weak coupling and magneto-hydrodynamical coupling focusing on electromagnetic instabilities in fluid conductors. Chapter 14 presents different meshing methods in the context of electromagnetism (presence of air) and introduces self-adaptive mesh refinement procedures. Optimization techniques are then covered in Chapter 15, with the adaptation of deterministic and probabilistic methods to the numerical finite element environment. Chapter 16 presents a variational approach of electromagnetism, showing how Maxwell equations are derived from thermodynamic principles.

Mathematical Methods In Electromagnetism: Linear Theory And Applications

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Release : 1996-07-13
Genre : Mathematics
Kind : eBook
Book Rating : 383/5 ( reviews)

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Book Synopsis Mathematical Methods In Electromagnetism: Linear Theory And Applications by : Michel Cessenat

Download or read book Mathematical Methods In Electromagnetism: Linear Theory And Applications written by Michel Cessenat. This book was released on 1996-07-13. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with basic tools to solve problems of electromagnetism in their natural functional frameworks thanks to modern mathematical methods: integral surface methods, and also semigroups, variational methods, etc., well adapted to a numerical approach.As examples of applications of these tools and concepts, we solve several fundamental problems of electromagnetism, stationary or time-dependent: scattering of an incident wave by an obstacle, bounded or not, by gratings; wave propagation in a waveguide, with junctions and cascades. We hope that mathematical notions will allow a better understanding of modelization in electromagnetism and emphasize the essential features related to the geometry and nature of materials.

Magnetic Materials and 3D Finite Element Modeling

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Release : 2017-04-28
Genre : Technology & Engineering
Kind : eBook
Book Rating : 524/5 ( reviews)

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Book Synopsis Magnetic Materials and 3D Finite Element Modeling by : João Pedro A. Bastos

Download or read book Magnetic Materials and 3D Finite Element Modeling written by João Pedro A. Bastos. This book was released on 2017-04-28. Available in PDF, EPUB and Kindle. Book excerpt: Magnetic Materials and 3D Finite Element Modeling explores material characterization and finite element modeling (FEM) applications. This book relates to electromagnetic analysis based on Maxwell’s equations and application of the finite element (FE) method to low frequency devices. A great source for senior undergraduate and graduate students in electromagnetics, it also supports industry professionals working in magnetics, electromagnetics, ferromagnetic materials science and electrical engineering. The authors present current concepts on ferromagnetic material characterizations and losses. They provide introductory material; highlight basic electromagnetics, present experimental and numerical modeling related to losses and focus on FEM applied to 3D applications. They also explain various formulations, and discuss numerical codes. • Furnishes algorithms in computational language • Summarizes concepts related to the FE method • Uses classical algebra to present the method, making it easily accessible to engineers Written in an easy-to-understand tutorial format, the text begins with a short presentation of Maxwell’s equations, discusses the generation mechanism of iron losses, and introduces their static and dynamic components. It then demonstrates simplified models for the hysteresis phenomena under alternating magnetic fields. The book also focuses on the Preisach and Jiles–Atherton models, discusses vector hysterisis modeling, introduces the FE technique, and presents nodal and edge elements applied to 3D FE formulation connected to the hysteretic phenomena. The book discusses the concept of source-field for magnetostatic cases, magnetodynamic fields, eddy currents, and anisotropy. It also explores the need for more sophisticated coding, and presents techniques for solving linear systems generated by the FE cases while considering advantages and drawbacks.

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