Mathematical Models In Electrical Circuits Theory And Applications

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Mathematical Models in Electrical Circuits: Theory and Applications

Author : C. A. Marinov
Publisher : Springer Science & Business Media
ISBN 13 : 9401134405
Total Pages : 171 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Mathematical Models in Electrical Circuits: Theory and Applications by : C. A. Marinov

Download or read book Mathematical Models in Electrical Circuits: Theory and Applications written by C. A. Marinov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the 'Et moi ... si favait su comment en revenir, je n'y seTais point alle.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded n- sense', The series is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One scrvice logic has rendered com puter science .. .'; 'One service category theory has rendcred mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'e"tre of this scries.

Mathematical Models of Electrical Network Systems

Author : Andrzej Kłos
Publisher : Springer
ISBN 13 : 3319521780
Total Pages : 108 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Mathematical Models of Electrical Network Systems by : Andrzej Kłos

Download or read book Mathematical Models of Electrical Network Systems written by Andrzej Kłos and published by Springer. This book was released on 2017-06-28 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for all those who are looking for a non-conventional mathematical model of electrical network systems. It presents a modern approach using linear algebra and derives various commonly unknown quantities and interrelations of network analysis. It also explores some applications of algebraic network model of and solves some examples of previously unsolved network problems in planning and operation of network systems. Complex mathematical aspects are illustrated and described in a way that is understandable for non-mathematicians. Discussing interesting concepts and practically useful methods of network analysis, it is a valuable resource for lecturers, students, engineers

Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications

Author : Michal Krízek
Publisher : Springer Science & Business Media
ISBN 13 : 9401586721
Total Pages : 311 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications by : Michal Krízek

Download or read book Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications written by Michal Krízek and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling plays an essential role in science and engineering. Costly and time consuming experiments (if they can be done at all) are replaced by computational analysis. In industry, commercial codes are widely used. They are flexible and can be adjusted for solving specific problems of interest. Solving large problems with tens or hundreds of thousands unknowns becomes routine. The aim of analysis is to predict the behavior of the engineering and physical reality usually within the constraints of cost and time. Today, human cost and time are more important than computer cost. This trend will continue in the future. Agreement between computational results and reality is related to two factors, namely mathematical formulation of the problems and the accuracy of the numerical solution. The accuracy has to be understood in the context of the aim of the analysis. A small error in an inappropriate norm does not necessarily mean that the computed results are usable for practical purposes.

Systems with Non-Smooth Inputs

Author : Jürgen Appell
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110709864
Total Pages : 288 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Systems with Non-Smooth Inputs by : Jürgen Appell

Download or read book Systems with Non-Smooth Inputs written by Jürgen Appell and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-03-08 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a completely new and highly application-oriented field of nonlinear analysis. The work covers the theory of non-smooth input-output systems and presents various methods to non-standard applications in mathematics and physics. A particular focus lies on hysteresis and relay phenomena, electric circuits with diode nonlinearities, and biological systems with constraints.

Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices

Author : Randolph Bank
Publisher : Birkhäuser
ISBN 13 : 3034885288
Total Pages : 314 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices by : Randolph Bank

Download or read book Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices written by Randolph Bank and published by Birkhäuser. This book was released on 2012-12-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in today's high-technology industries is strongly associated with the development of new mathematical tools. A typical illustration of this partnership is the mathematical modelling and numerical simulation of electric circuits and semiconductor devices. At the second Oberwolfach conference devoted to this important and timely field, scientists from around the world, mainly applied mathematicians and electrical engineers from industry and universities, presented their new results. Their contributions, forming the body of this work, cover electric circuit simulation, device simulation and process simulation. Discussions on experiences with standard software packages and improvements of such packages are included. In the semiconductor area special lectures were given on new modelling approaches, numerical techniques and existence and uniqueness results. In this connection, mention is made, for example, of mixed finite element methods, an extension of the Baliga-Patankar technique for a three dimensional simulation, and the connection between semiconductor equations and the Boltzmann equations.

Mathematical Modeling of Physical Systems

Author : Adhir Baran Chattopadhyay
Publisher : Springer Nature
ISBN 13 : 9811975582
Total Pages : 290 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Mathematical Modeling of Physical Systems by : Adhir Baran Chattopadhyay

Download or read book Mathematical Modeling of Physical Systems written by Adhir Baran Chattopadhyay and published by Springer Nature. This book was released on 2023-03-14 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents mathematical modelling of physical systems by combined approach based on field theory, circuit theory and signal processing. The book is broadly divided into three parts: applications of field theory, applications of circuit theory and applications of signals processing. First part contains six chapters, second part has two chapters and third part contains two chapters. First part is further decoupled into three plus three chapters, based on the common “field nature” exhibited by electromagnetic quantities and fluid quantities.

Mathematical Models for the Design of Electrical Machines

Author : Frédéric Dubas
Publisher : MDPI
ISBN 13 : 3036503986
Total Pages : 252 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Mathematical Models for the Design of Electrical Machines by : Frédéric Dubas

Download or read book Mathematical Models for the Design of Electrical Machines written by Frédéric Dubas and published by MDPI. This book was released on 2021-03-15 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Electric Circuits

Author : Demetrios P. Kanoussis
Publisher : Golden Ratio Publications
ISBN 13 : 1311258272
Total Pages : 47 pages
Book Rating : 4.3/5 (112 download)

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Book Synopsis Electric Circuits by : Demetrios P. Kanoussis

Download or read book Electric Circuits written by Demetrios P. Kanoussis and published by Golden Ratio Publications. This book was released on 2015-04-06 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electric Circuits constitute a core course in every Electrical Engineering curiculum, with applications covering a wide area of disciplines, like Electronics, Electrical Machines, Frequency Domain Analysis, Transmission Lines, etc. In this book, we lay out the foundations, introducing fundamental principles, definitions and formulas, which are necessary for the understanding of more advanced topics. The material is presented in a clear, understandable format, while the characteristic examples and problems, accompanied by their solution, contribute immensely to a thorough comprehension of the related material.

Mathematical Models and Numerical Simulation in Electromagnetism

Author : Alfredo Bermúdez de Castro
Publisher : Springer
ISBN 13 : 3319029495
Total Pages : 440 pages
Book Rating : 4.3/5 (19 download)

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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 and published by Springer. This book was released on 2014-07-22 with total page 440 pages. 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.

Chaos in Electronics

Author : M.A. van Wyk
Publisher : Springer Science & Business Media
ISBN 13 : 9401589216
Total Pages : 489 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Chaos in Electronics by : M.A. van Wyk

Download or read book Chaos in Electronics written by M.A. van Wyk and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many dynamical systems in physics, chemistry and biology exhibit complex be haviour. The apparently random motion of a fluid is the best known example. How ever also vibrating structures, electronic oscillators, magnetic devices,lasers, chemical oscillators, and population kinetics can behave in a complicated manner. One can find irregular oscillations, which is now known as chaotic behaviour. The research field of nonlinear dynamical systems and especially the study of chaotic systems has been hailed as one of the important breaktroughs in science this century. The sim plest realization of a system with chaotic behaviour is an electronic oscillator. The purpose of this book is to provide a comprehensive introduction to the application of chaos theory to electronic systems. The book provides both the theoretical and experimental foundations of this research field. Each electronic circuit is described in detail together with its mathematical model. Controlling chaos of electronic oscilla tors is also included. End of proofs and examples are indicated by •. Inside examples the end of proofs are indicated with O. We wish to express our gratitude to Catharine Thompson for a critical reading of the manuscript. Any useful suggestions and comments are welcome. Email address of the first author: MVANWYK@TSAMAIL. TRSA. AC. ZA Email address of the first author: WHS@RAU3. RAU. AC. ZA Home page of the authors: http://zeus. rau. ac. za/steeb/steeb. html xi Chapter 1 Introduction 1.

Introduction to Electric Circuits Theory

Author : Demetrios P. Kanoussis
Publisher :
ISBN 13 : 9781728824680
Total Pages : 125 pages
Book Rating : 4.8/5 (246 download)

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Book Synopsis Introduction to Electric Circuits Theory by : Demetrios P. Kanoussis

Download or read book Introduction to Electric Circuits Theory written by Demetrios P. Kanoussis and published by . This book was released on 2018-10-15 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Circuit theory is a core course in every Electrical Engineering curriculum, with a wide range of applications to a variety of problems related to electrical systems and subsystems, such as power transmission systems, communication systems, control systems and electronics systems in general.This book includes a complete and self contained presentation of fundamental concepts, definitions, principles and techniques on Electric Circuits, and has been designed to be an excellent supplementary textbook and help all Electrical Engineering and Technology students to understand in depth, the essentials of the theory involved and develop the insight and the analytical skills needed, in order to pursue studies in more complicated topics in circuits and electrical systems in general.Topics covered include, Electric Power and Energy, The Basic Elements in Electric Circuits and their respective Ohm's Law, The Electric Energy Sources and their Mathematical Models, for both Independent and Controlled Sources, The Kirchhoff's Laws and applications, Equivalent Circuits, Capacitors and Inductors, Transients in simple R-L or R-C circuits.The content of this book is divided in 10 chapters.The content of each chapter is shown in the Table of Contents. At the end of the book, we include an Appendix, showing how to solve a first order Differential Equation, Linear with Constant Coefficients. This will help the students to understand the operation of circuits containing ohmic resistors and capacitors or ohmic resistors and inductors. The study of such circuits in general, is described by first order differential equations.The 65 illustrative solved Examples and the 155 characteristic Problems to be solved are design to help students develop a solid theoretical background, broaden their knowledge and sharpen their analytical skills on the subject. A brief Hint or detailed outline of the procedure to follow, in solving complicated problems is often given.Finally answers to odd numbered problems are also given, so that the students can verify the validity of their own solution.

Differential Equations with MATLAB

Author : Mark McKibben
Publisher : CRC Press
ISBN 13 : 1466557079
Total Pages : 500 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Differential Equations with MATLAB by : Mark McKibben

Download or read book Differential Equations with MATLAB written by Mark McKibben and published by CRC Press. This book was released on 2014-09-08 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential equations (ODEs and PDEs). The text presents a unifying picture inherent to the study and analysis of more than 20 distinct models spanning disciplines such as physics, engineering, and finance. The first part of the book presents systems of linear ODEs. The text develops mathematical models from ten disparate fields, including pharmacokinetics, chemistry, classical mechanics, neural networks, physiology, and electrical circuits. Focusing on linear PDEs, the second part covers PDEs that arise in the mathematical modeling of phenomena in ten other areas, including heat conduction, wave propagation, fluid flow through fissured rocks, pattern formation, and financial mathematics. The authors engage students by posing questions of all types throughout, including verifying details, proving conjectures of actual results, analyzing broad strokes that occur within the development of the theory, and applying the theory to specific models. The authors’ accessible style encourages students to actively work through the material and answer these questions. In addition, the extensive use of MATLAB® GUIs allows students to discover patterns and make conjectures.

Analysis and Simulation of Electrical and Computer Systems

Author : Damian Mazur
Publisher : Springer
ISBN 13 : 3319639498
Total Pages : 444 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Analysis and Simulation of Electrical and Computer Systems by : Damian Mazur

Download or read book Analysis and Simulation of Electrical and Computer Systems written by Damian Mazur and published by Springer. This book was released on 2017-10-20 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses selected topics in electrical engineering, electronics and mechatronics that have posed serious challenges for both the scientific and engineering communities in recent years. The topics covered range from mathematical models of electrical and electronic components and systems, to simulation tools implemented for their analysis and further developments; and from multidisciplinary optimization, signal processing methods and numerical results, to control and diagnostic techniques. By bridging theory and practice in the modeling, design and optimization of electrical, electromechanical and electronic systems, and by adopting a multidisciplinary perspective, the book provides researchers and practitioners with timely and extensive information on the state of the art in the field — and a source of new, exciting ideas for further developments and collaborations. The book presents selected results of the XIII Scientific Conference on Selected Issues of Electrical Engineering and Electronics (WZEE 2016), held on May 04–08, 2016, in Rzeszów, Poland. The Conference was organized by the Rzeszów Division of Polish Association of Theoretical and Applied Electrical Engineering (PTETiS) in cooperation with the Faculty of Electrical and Computer Engineering of the Rzeszów University of Technology.

An Introduction to the Mathematics of Neurons

Author : F. C. Hoppensteadt
Publisher : Cambridge University Press
ISBN 13 : 9780521599290
Total Pages : 236 pages
Book Rating : 4.5/5 (992 download)

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Book Synopsis An Introduction to the Mathematics of Neurons by : F. C. Hoppensteadt

Download or read book An Introduction to the Mathematics of Neurons written by F. C. Hoppensteadt and published by Cambridge University Press. This book was released on 1997-06-28 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the signal processing aspects of neural networks. It begins with a presentation of the necessary background material in electronic circuits, mathematical modeling and analysis, signal processing, and neurosciences, and then proceeds to applications. These applications include small networks of neurons, such as those used in control of warm-up and flight in moths and control of respiration during exercise in humans. Next, a theory of mnemonic surfaces is developed and studied and material on pattern formation and cellular automata is presented. Finally, large networks are studied, such as the thalamus-reticular complex circuit, believed to be involved in focusing attention, and the development of connections in the visual cortex. Additional material is also provided about nonlinear wave propagation in networks. This book will serve as an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.

Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices

Author : R. Bank
Publisher : Birkhäuser
ISBN 13 : 9783764324391
Total Pages : 0 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices by : R. Bank

Download or read book Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices written by R. Bank and published by Birkhäuser. This book was released on 1990-02-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical simulation and modelling of electric circuits and semiconductor devices are of primal interest in today's high technology industries. At the Oberwolfach Conference more than forty scientists from around the world, in cluding applied mathematicians and electrical engineers from industry and universities, presented new results in this area of growing importance. The contributions to this conference are presented in these proceedings. They include contributions on special topics of current interest in circuit and device simulation, as well as contributions that present an overview of the field. In the semiconductor area special lectures were given on mixed finite element methods and iterative procedures for the solution of large linear systems. For three dimensional models new discretization procedures including software packages were presented. Con nections between semiconductor equations and the Boltzmann equation were shown as well as relations to the quantum transport equation. Other issues discussed in this area include the design of simulation programs for semiconductors, vectorcomputers, and interface problems in several dimensions. Topics discussed in the area of circuit simulation include the index classification of differential-algebraic systems, connections with ill-posed problems, and regularization techniques. Split discretization procedures were given for the efficient calculation of periodic solutions of circuits taking into acount the latency. Homotopy methods and new numerical techniques for differential-algebraic systems were presented, and im provements of special numerical methods for standard software packages were sug gested. The editors VII Table of Contents Circuit Simulation Merten K.

Model Order Reduction Techniques with Applications in Electrical Engineering

Author : L. Fortuna
Publisher : Springer Science & Business Media
ISBN 13 : 1447131983
Total Pages : 242 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Model Order Reduction Techniques with Applications in Electrical Engineering by : L. Fortuna

Download or read book Model Order Reduction Techniques with Applications in Electrical Engineering written by L. Fortuna and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model Order Reduction Techniqes focuses on model reduction problems with particular applications in electrical engineering. Starting with a clear outline of the technique and their wide methodological background, central topics are introduced including mathematical tools, physical processes, numerical computing experience, software developments and knowledge of system theory. Several model reduction algorithms are then discussed. The aim of this work is to give the reader an overview of reduced-order model design and an operative guide. Particular attention is given to providing basic concepts for building expert systems for model reducution.

Mathematical Foundations for Linear Circuits and Systems in Engineering

Author : John J. Shynk
Publisher : John Wiley & Sons
ISBN 13 : 1119073405
Total Pages : 647 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Mathematical Foundations for Linear Circuits and Systems in Engineering by : John J. Shynk

Download or read book Mathematical Foundations for Linear Circuits and Systems in Engineering written by John J. Shynk and published by John Wiley & Sons. This book was released on 2016-02-22 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive coverage of mathematical techniques used in engineering with an emphasis on applications in linear circuits and systems Mathematical Foundations for Linear Circuits and Systems in Engineering provides an integrated approach to learning the necessary mathematics specifically used to describe and analyze linear circuits and systems. The chapters develop and examine several mathematical models consisting of one or more equations used in engineering to represent various physical systems. The techniques are discussed in-depth so that the reader has a better understanding of how and why these methods work. Specific topics covered include complex variables, linear equations and matrices, various types of signals, solutions of differential equations, convolution, filter designs, and the widely used Laplace and Fourier transforms. The book also presents a discussion of some mechanical systems that mathematically exhibit the same dynamic properties as electrical circuits. Extensive summaries of important functions and their transforms, set theory, series expansions, various identities, and the Lambert W-function are provided in the appendices. The book has the following features: Compares linear circuits and mechanical systems that are modeled by similar ordinary differential equations, in order to provide an intuitive understanding of different types of linear time-invariant systems. Introduces the theory of generalized functions, which are defined by their behavior under an integral, and describes several properties including derivatives and their Laplace and Fourier transforms. Contains numerous tables and figures that summarize useful mathematical expressions and example results for specific circuits and systems, which reinforce the material and illustrate subtle points. Provides access to a companion website that includes a solutions manual with MATLAB code for the end-of-chapter problems. Mathematical Foundations for Linear Circuits and Systems in Engineering is written for upper undergraduate and first-year graduate students in the fields of electrical and mechanical engineering. This book is also a reference for electrical, mechanical, and computer engineers as well as applied mathematicians. John J. Shynk, PhD, is Professor of Electrical and Computer Engineering at the University of California, Santa Barbara. He was a Member of Technical Staff at Bell Laboratories, and received degrees in systems engineering, electrical engineering, and statistics from Boston University and Stanford University.