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Mathematical Models For Eddy Currents And Magnetostatics


Mathematical Models For Eddy Currents And Magnetostatics
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Mathematical Models For Eddy Currents And Magnetostatics


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


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.



Proceedings Of The Third European Conference On Mathematics In Industry


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.



Magnetic Components


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.



Eddy Current Approximation Of Maxwell Equations


Eddy Current Approximation Of Maxwell Equations
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Author : Ana Alonso Rodriguez
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-22

Eddy Current Approximation Of Maxwell Equations written by Ana Alonso Rodriguez 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 2010-11-22 with Mathematics categories.


This book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. It takes into account all the most used formulations, placing the problem in a rigorous functional framework.



Spectral And High Order Methods For Partial Differential Equations Icosahom 2016


Spectral And High Order Methods For Partial Differential Equations Icosahom 2016
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Author : Marco L. Bittencourt
language : en
Publisher: Springer
Release Date : 2017-11-07

Spectral And High Order Methods For Partial Differential Equations Icosahom 2016 written by Marco L. Bittencourt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-07 with Mathematics categories.


This book features a selection of high-quality papers chosen from the best presentations at the International Conference on Spectral and High-Order Methods (2016), offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.



Numerical Approximation Of The Magnetoquasistatic Model With Uncertainties


Numerical Approximation Of The Magnetoquasistatic Model With Uncertainties
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Author : Ulrich Römer
language : en
Publisher: Springer
Release Date : 2016-07-27

Numerical Approximation Of The Magnetoquasistatic Model With Uncertainties written by Ulrich Römer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-27 with Technology & Engineering categories.


This book presents a comprehensive mathematical approach for solving stochastic magnetic field problems. It discusses variability in material properties and geometry, with an emphasis on the preservation of structural physical and mathematical properties. It especially addresses uncertainties in the computer simulation of magnetic fields originating from the manufacturing process. Uncertainties are quantified by approximating a stochastic reformulation of the governing partial differential equation, demonstrating how statistics of physical quantities of interest, such as Fourier harmonics in accelerator magnets, can be used to achieve robust designs. The book covers a number of key methods and results such as: a stochastic model of the geometry and material properties of magnetic devices based on measurement data; a detailed description of numerical algorithms based on sensitivities or on a higher-order collocation; an analysis of convergence and efficiency; and the application of the developed model and algorithms to uncertainty quantification in the complex magnet systems used in particle accelerators.



Mathematical Models For The Design Of Electrical Machines


Mathematical Models For The Design Of Electrical Machines
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Author : Frédéric Dubas
language : en
Publisher: MDPI
Release Date : 2021-03-15

Mathematical Models For The Design Of Electrical Machines written by Frédéric Dubas and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-15 with Technology & Engineering categories.


This book is a comprehensive set of articles reflecting the latest advances and developments in mathematical modeling and the design of electrical machines for different applications. The main models discussed are based on the: i) Maxwell–Fourier method (i.e., the formal resolution of Maxwell’s equations by using the separation of variables method and the Fourier’s series in 2-D or 3-D with a quasi-Cartesian or polar coordinate system); ii) electrical, thermal and magnetic equivalent circuit; iii) hybrid model. In these different papers, the numerical method and the experimental tests have been used as comparisons or validations.



Systems Decision And Control In Energy Vi


Systems Decision And Control In Energy Vi
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Author : Vitalii Babak
language : en
Publisher: Springer Nature
Release Date : 2024-09-20

Systems Decision And Control In Energy Vi written by Vitalii Babak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-20 with Technology & Engineering categories.


This book presents the defining hallmark of 2023's energy panorama which lies in the resounding impetus toward sustainability—a seismic paradigm shift echoing across industries, policies, and societal aspirations. Heightened awareness of climate change, environmental degradation, and the imperatives of decarbonization propel an unprecedented surge toward renewable energy alternatives. Solar, wind, hydro, geothermal, and other sustainable modalities witness not only technological advancements but a transformative surge in accessibility, affordability, and scalability, redefining the global energy matrix. Within this transformative landscape, innovation emerges as the fulcrum catalyzing the metamorphosis of energy systems. Breakthroughs in energy storage technologies, smart grid optimization, and decentralized energy solutions orchestrate a symphony of efficiency, enabling the seamless integration of intermittent renewable sources while ensuring grid stability and resilience. The amalgamation of artificial intelligence, big data analytics, and energy systems heralds a new frontier of smart, adaptive energy networks, revolutionizing the paradigm of energy consumption and management. Furthermore, the geopolitical milieu assumes heightened significance in shaping the contours of global energy dynamics. Interwoven with alliances, trade dynamics, and international agreements, geopolitics exerts profound influences on energy security, infrastructural investments, and the trajectory of sustainable energy transitions. Collaborative endeavors and multilateral initiatives reverberate as essential instruments in navigating the complexities of a globally interconnected energy landscape. However, amid the triumphant strides toward a sustainable energy future, challenges persist. The intricacies of phasing out legacy infrastructures, addressing socio-economic disparities, navigating policy ambiguities, and fostering inclusive energy transitions underscore the labyrinthine complexities that necessitate astute navigation and multifaceted solutions.



Maxwell S Equations


Maxwell S Equations
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Author : Ulrich Langer
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-07-08

Maxwell S Equations written by Ulrich Langer and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-08 with Mathematics categories.


This volume collects longer articles on the analysis and numerics of Maxwell’s equations. The topics include functional analytic and Hilbert space methods, compact embeddings, solution theories and asymptotics, electromagnetostatics, time-harmonic Maxwell’s equations, time-dependent Maxwell’s equations, eddy current approximations, scattering and radiation problems, inverse problems, finite element methods, boundary element methods, and isogeometric analysis.