Mathematical Models For Eddy Currents And Magnetostatics
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Mathematical Models For Eddy Currents And Magnetostatics
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Author : Rachid Touzani
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-01
Mathematical Models For Eddy Currents And Magnetostatics written by Rachid Touzani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-01 with Computers categories.
This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented in the applied mathematics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductors leading to different mathematical models are carefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates are discussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow of electrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications.
Mathematical Models And Numerical Simulation In Electromagnetism
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Author : Alfredo Bermúdez de Castro
language : en
Publisher: Springer
Release Date : 2014-07-22
Mathematical Models And Numerical Simulation In Electromagnetism written by Alfredo Bermúdez de Castro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Mathematics categories.
The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations that should be solved in order to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electric engineering applications, going from the general to the specific, namely, from the full Maxwell’s equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standard exercises related to analytical calculus, the book includes some others oriented to real-life applications solved with MaxFEM free simulation software.
Nonlinear Diffusion Of Electromagnetic Fields
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Author :
language : en
Publisher: Elsevier
Release Date : 1998-04-28
Nonlinear Diffusion Of Electromagnetic Fields written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-28 with Science categories.
Nonlinear Diffusion of Electromagnetic Fields covers applications of the phenomena of non-linear diffusion of electromagnetic fields, such as magnetic recording, electromagnetic shielding and non-destructive testing, development of CAD software, and the design of magnetic components in electrical machinery. The material presented has direct applications to the analysis of eddy currents in magnetically nonlinear and hysteretic conductors and to the study of magnetization processes in electrically nonlinear superconductors. This book will provide very valuable technical and scientific information to a broad audience of engineers and researchers who are involved in these diverse areas. Contains extensive use of analytical techniques for the solution of nonlinear problems of electromagnetic field diffusion Simple analytical formulas for surface impedances of nonlinear and hysteretic media Analysis of nonlinear diffusion for linear, circular and elliptical polarizations of electromagnetic fields Novel and extensive analysis of eddy current losses in steel laminations for unidirectional and rotating magnetic fields Preisach approach to the modeling of eddy current hysteresis and superconducting hysteresis Extensive study of nonlinear diffusion in superconductors with gradual resistive transitions (scalar and vertorial problems)
Computational Electromagnetism
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Author : Alain Bossavit
language : en
Publisher: Academic Press
Release Date : 1998-02-04
Computational Electromagnetism written by Alain Bossavit and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-04 with Technology & Engineering categories.
Computational Electromagnetism refers to the modern concept of computer-aided analysis, and design, of virtually all electric devices such as motors, machines, transformers, etc., as well as of the equipment inthe currently booming field of telecommunications, such as antennas, radars, etc. The present book is uniquely written to enable the reader-- be it a student, a scientist, or a practitioner-- to successfully perform important simulation techniques and to design efficient computer software for electromagnetic device analysis. Numerous illustrations, solved exercises, original ideas, and an extensive and up-to-date bibliography make it a valuable reference for both experts and beginners in the field. A researcher and practitioner will find in it information rarely available in other sources, such as on symmetry, bilateral error bounds by complimentarity, edge and face elements, treatment of infinite domains, etc. At the same time, the book is a useful teaching tool for courses in computational techniques in certain fields of physics and electrical engineering. As a self-contained text, it presents an extensive coverage of the most important concepts from Maxwells equations to computer-solvable algebraic systems-- for both static, quasi-static, and harmonic high-frequency problems. Benefits To the Engineer A sound background necessary not only to understand the principles behind variational methods and finite elements, but also to design pertinent and well-structured software. To the Specialist in Numerical Modeling The book offers new perspectives of practical importance on classical issues: the underlying symmetry of Maxwell equations, their interaction with other fields of physics in real-life modeling, the benefits of edge and face elements, approaches to error analysis, and "complementarity." To the Teacher An expository strategy that will allow you to guide the student along a safe and easy route through otherwise difficult concepts: weak formulations and their relation to fundamental conservation principles of physics, functional spaces, Hilbert spaces, approximation principles, finite elements, and algorithms for solving linear systems. At a higher level, the book provides a concise and self-contained introduction to edge elements and their application to mathematical modeling of the basic electromagnetic phenomena, and static problems, such as eddy-current problems and microwaves in cavities. To the Student Solved exercises, with "hint" and "full solution" sections, will both test and enhance the understanding of the material. Numerous illustrations will help in grasping difficult mathematical concepts.
Computational Electromagnetics And Model Based Inversion
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Author : Harold A Sabbagh
language : en
Publisher: Springer
Release Date : 2013-06-22
Computational Electromagnetics And Model Based Inversion written by Harold A Sabbagh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-22 with Technology & Engineering categories.
This volume will define the direction of eddy-current technology in nondestructive evaluation (NDE) in the twenty-first century. It describes the natural marriage of the computer to eddy-current NDE, and its publication was encouraged by favorable responses from workers in the nuclear-power and aerospace industries. It will be used by advanced students and practitioners in the fields of computational electromagnetics, electromagnetic inverse-scattering theory, nondestructive evaluation, materials evaluation and biomedical imaging, among others, and will be based on our experience in applying the subject of computational electromagnetics to these areas, as manifested by our recent research and publications. Finally, it will be a reference to future monographs on advanced NDE that are being contemplated by our colleagues and others. Its importance lies in the fact that it will be the first book to show that advanced computational methods can be used to solve practical, but difficult, problems in eddy-current NDE. In fact, in many cases these methods are the only things available for solving the problems. The book will cover the topic of computational electromagnetics in eddy-current nondestructive evaluation (NDE) by emphasizing three distinct topics: (a) fundamental mathematical principles of volume-integral equations as a subset of computational electromagnetics, (b) mathematical algorithms applied to signal-processing and inverse scattering problems, and (c) applications of these two topics to problems in which real and model data are used. This will make the book more than an academic exercise; we expect it to be valuable to users of eddy-current NDE technology in industries as varied as nuclear power, aerospace, materials characterization and biomedical imaging. We know of no other book on the market that covers this material in the manner in which we will present it, nor are there any books, to our knowledge, that apply this material to actual test situations that are of importance to the industries cited. It will be the first book to actually define the modern technology of eddy-current NDE, by showing how mathematics and the computer will solve problems more effectively than current analog practice.
Eddy Currents
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Author : Sheppard J. Salon
language : en
Publisher: John Wiley & Sons
Release Date : 2023-11-28
Eddy Currents written by Sheppard J. Salon and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-28 with Science categories.
EDDY CURRENTS Understand the theory of eddy currents with this essential reference Eddy currents are electrical current loops produced when a conductor passes through a magnetic field, or is otherwise subject to a change in magnetic field direction. These currents play a significant role in many industrial processes and areas of electrical engineering. Their properties and applications are therefore a subject of significant interest for electrical engineers and other professionals. Eddy Currents: Theory, Modeling and Applications offers a comprehensive reference on eddy currents in theory and practice. It begins with an introduction to the underlying theory of eddy currents, before proceeding to both closed-form and numerical solutions, and finally describing current and future applications. The result is an essential tool for anyone whose work requires an understanding of these ubiquitous currents. Eddy Currents readers will also find: Professional insights from an author team with decades of combined experience in research and industry Detailed treatment of methods including finite difference, finite element, and integral equation techniques Over 100 computer-generated figures to illustrate key points Eddy Currents is a must-have reference for researchers and industry professionals in electrical engineering and related fields.
Proceedings Of The Third European Conference On Mathematics In Industry
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Author : J. Manley
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Proceedings Of The Third European Conference On Mathematics In Industry written by J. Manley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The European Consortium for Mathematics in Industry (ECMI) was founded, largely due to the driving energy of Michiel Hazewinkel on the 14th April, 1986 in Neustadt-Mussbach in West Germany. The founder signatories were A. Bensoussan (INRIA, Paris), A. Fasano (University of Florence), M. Hazewinkel (CWI, Amsterdam), M. Heilio (Lappeenranta University, Finland), F. Hodnett (University of Limerick, Ireland), H. Martens (Norwegian Institute of Technology, Trondheim), S. McKee (University of Strathclyde, Scotland), H. NeURzert (University of Kaiserslautern, Germany), D. Sundstrom (The Swedish Institute of Applied Mathematics, Stockholm), A. Tayler (University of Oxford, England) and Hj. Wacker (University of Linz, Austria). The European Consortium for Mathematics in Industry is dedicated to: (a) promote the use of mathematical models in Industry (b) educate industrial mathematicians to meet the growing demand for such experts (c) operate on a European scale. ECMI is still a young organisation but its membership is growing fast. Although it has still to persuade more industrialists to join, ECMI certainly operates on a European scale and a flourishing postgraduate programme with student exchange has been underway for some time. It is perhaps fitting that the first open meeting of ECMI was held at the University of Strathclyde in Glasgow. Glasgow is and was the industrial capital of Scotland and was, and arguably still is, Britain's second city after London; when this volume appears it will have rightly donned the mantle of the cultural capital of Europe.
The Finite Element Method For Electromagnetic Modeling
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Author : Gérard Meunier
language : en
Publisher: John Wiley & Sons
Release Date : 2010-01-05
The Finite Element Method For Electromagnetic Modeling written by Gérard Meunier and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-05 with Science categories.
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.
Applied Electromagnetics Using Quickfield And Matlab
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Author : James R. Claycomb
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2010
Applied Electromagnetics Using Quickfield And Matlab written by James R. Claycomb and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
Intended As A Textbook For Electromagnetics Or A Reference For Practicing Engineers, The Book Uses The Computer Software Packages Quickfield And MATLAB For Visualizing Electric And Magnetic Fields, And For Calculating Their Resulting Forces, Charge, And Current Distributions. The Concepts Of Electromagnetism “Come Alive” As The Readers Model Real World Problems And Experiment With Currents In Biological Tissue Under Electrical Stimulation, For Superconducting Magnetic Shielding, Monte Carlo Methods, Etc. The Accompanying CD Includes A Fully Functional Version Of Quickfield (Widely Used In Industry), As Well As Numerous Demonstrations And Simulations With MATLAB.
Magnetic Components
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Author : Peter Zacharias
language : en
Publisher: Springer Nature
Release Date : 2022-12-09
Magnetic Components written by Peter Zacharias and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-09 with Technology & Engineering categories.
The book deals with methods for the description and design of electromagnetic components. Both linear and nonlinear components are covered. For electrical simulations the necessary equivalent circuit diagrams are derived and a general methodology is developed. Possible influences on properties via material selection, winding design and premagnetisation of sections are treated. Measurement characterization, modeling, possible errors and model limits are dealt with extensively. In the last chapter examples are discussed.