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Coupled Electromagnetic Field/Circuit Simulation. Modeling and Numerical Analysis

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 912/5 ( reviews)

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Book Synopsis Coupled Electromagnetic Field/Circuit Simulation. Modeling and Numerical Analysis by : Sascha Baumanns

Download or read book Coupled Electromagnetic Field/Circuit Simulation. Modeling and Numerical Analysis written by Sascha Baumanns. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: Today's most commonly used circuit models increasingly tend to lose their validity in circuit simulation due to rapid technological developments, miniaturization and increased complexity of integrated circuits. The starting point of this thesis was to tackle these challenges by refining the critical parts of the circuit by combining circuit simulation directly with distributed device models. The approach set out in this thesis couples partial differential equations for electromagnetic devices - modeled by Maxwell's equations -, to differential-algebraic equations, which describe basic circuit elements including memristors and the circuit's topology. First, Maxwell's equations are spatially discretized and a potential formulation is derived, the coupled system is then formulated as a differential-algebraic equation with a properly stated leading term and analyzed. Topological and modeling conditions are presented to guarantee the tractability index of these differential-algebraic equations to be no greater than two. Finally, local solvability, perturbation results and an algorithm to calculate consistent initializations are derived for a general class of differential-algebraic equations with a properly stated leading term having tractability index-2.

Mathematical Models and Numerical Simulation in Electromagnetism

2014-07-22 Mathematics
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Release : 2014-07-22
Genre : Mathematics
Kind : eBook
Book Rating : 495/5 ( reviews)

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Book Synopsis Mathematical Models and Numerical Simulation in Electromagnetism by : Alfredo Bermúdez de Castro

Download or read book Mathematical Models and Numerical Simulation in Electromagnetism written by Alfredo Bermúdez de Castro. This book was released on 2014-07-22. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Analysis and Simulation of Field Models in Accelerator Circuits

2021-01-04 Technology & Engineering
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Release : 2021-01-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 733/5 ( reviews)

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Book Synopsis Mathematical Analysis and Simulation of Field Models in Accelerator Circuits by : Idoia Cortes Garcia

Download or read book Mathematical Analysis and Simulation of Field Models in Accelerator Circuits written by Idoia Cortes Garcia. This book was released on 2021-01-04. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the analysis and development of numerical methods for the time-domain analysis of multiphysical effects in superconducting circuits of particle accelerator magnets. An important challenge is the simulation of “quenching”, i.e. the transition of a material from the superconducting to the normally electrically conductive state. The book analyses complex mathematical structures and presents models to simulate such quenching events in the context of generalized circuit elements. Furthermore, it proposes efficient parallelized algorithms with guaranteed convergence properties for the simulation of multiphysical problems. Spanning from theoretical concepts to applied research, and featuring rigorous mathematical presentations on one side, as well as simplified explanations of many complex issues, on the other side, this book provides graduate students and researchers with a comprehensive introduction on the state of the art and a source of inspiration for future research. Moreover, the proposed concepts and methods can be extended to the simulation of multiphysical phenomena in different application contexts.

Scientific Computing in Electrical Engineering

2007-05-30 Computers
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Release : 2007-05-30
Genre : Computers
Kind : eBook
Book Rating : 806/5 ( reviews)

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Book Synopsis Scientific Computing in Electrical Engineering by : G. Ciuprina

Download or read book Scientific Computing in Electrical Engineering written by G. Ciuprina. This book was released on 2007-05-30. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of selected papers presented at the last Scientific Computing in Electrical Engineering (SCEE) Conference, held in Sinaia, Romania, in 2006. The series of SCEE conferences aims at addressing mathematical problems which have a relevance to industry, with an emphasis on modeling and numerical simulation of electronic circuits, electromagnetic fields but also coupled problems and general mathematical and computational methods.

Numerical Analysis of Nonlinear Partial Differential-algebraic Equations

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 781/5 ( reviews)

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Book Synopsis Numerical Analysis of Nonlinear Partial Differential-algebraic Equations by : Michael Matthes

Download or read book Numerical Analysis of Nonlinear Partial Differential-algebraic Equations written by Michael Matthes. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: Various mathematical models in many application areas give rise to systems of so called partial or abstract differential-algebraic equations (ADAEs). A substantial mathematical treatment of nonlinear ADAEs is still at an initial stage.In this thesis two approaches for treating nonlinear ADAEs are presented. The first one represents an extension of an approach by Tischendorf for the treatment of a specific class of linear ADAEs to the nonlinear case. It is based on the Galerkin approach and the theory of monotone operators for evolution equations. Unique solvability of the ADAE and strong convergence of the Galerkin solutions is proven. Furthermore it is shown that this class of ADAEs has Perturbation Index 1 and at most ADAE Index 1. In the second approach we formulate two prototypes of coupled systems where a semi-explicit differential-algebraic equation is coupled to an infinite dimensional algebraic operator equation or an evolution equation. For both prototypes unique solvability, strong convergence of Galerkin solutions and a Perturbation Index 1 result is shown. Both prototypes can be applied to concrete coupled systems in circuit simulation relying on a new global solvability result for the nonlinear equations of the Modified Nodal Analysis under suitable topological assumptions.

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