Linear and Nonlinear Circuits: Basic & Advanced Concepts

Volume 1

• Comprehensive textbook on linear and nonlinear circuits

• Provides teachers with the necessary flexibility to adapt their courses to different student needs and backgrounds

• Each part is organized in two levels: basic (for newcomers to circuit theory) and advanced (for higher-level students and researchers)

• Includes numerous worked examples and exercises

Textbook

Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 441)

1. Front Matter
Pages i-xxi
2. Circuit Variables and Topology

1. Front Matter
Pages 1-1
2. Mauro Parodi, Marco Storace
Pages 3-22
3. Mauro Parodi, Marco Storace
Pages 23-45
3. Memoryless Multi-terminals: Descriptive Equations and Properties

1. Front Matter
Pages 47-47
2. Mauro Parodi, Marco Storace
Pages 49-92
3. Mauro Parodi, Marco Storace
Pages 93-110
4. Memoryless Multi-ports: Descriptive Equations and Properties

1. Front Matter
Pages 111-111
2. Mauro Parodi, Marco Storace
Pages 113-163
3. Mauro Parodi, Marco Storace
Pages 165-181
5. Analysis of Memoryless Circuits

1. Front Matter
Pages 183-183
2. Mauro Parodi, Marco Storace
Pages 185-225
3. Mauro Parodi, Marco Storace
Pages 227-254
6. Back Matter
Pages 255-273

Introduction

This book provides readers with the necessary background information and advanced concepts in the field of circuits, at the crossroads between physics, mathematics and system theory. It covers various engineering subfields, such as electrical devices and circuits, and their electronic counterparts. Based on the idea that a modern university course should provide students with conceptual tools to understand the behavior of both linear and nonlinear circuits, to approach current problems posed by new, cutting-edge devices and to address future developments and challenges, the book places equal emphasis on linear and nonlinear, two‐terminal and multi‐terminal, as well as active and passive circuit components. The theory is developed systematically, starting with the simplest circuits (linear, time-invariant and resistive) and providing food for thought on nonlinear circuits, potential functions, linear algebra and geometrical interpretations of selected results. Contents are organized into a set of first‐level and a set of advanced‐level topics. The book is rich in examples and includes numerous solved problems. Further topics, such as signal processing and modeling of non-electric physical phenomena (e.g., hysteresis or biological oscillators) will be discussed in volume 2.

Keywords

Circuit Elements and Components Descriptive Variables Kirchhoff’s Laws Circuit Graphs Tellegen’s Theorem Linear Algebra Resistive/Memoryless Components Two-ports and N-ports Potential Functions Superposition Principle Thévenin And Norton Equivalents Piecewise‐linear Resistors Circuit Textbook

Authors and affiliations

1. 1.Department of Electric, Electronic, Telecommunications Engineering and Naval Architecture (DITEN)University of GenovaGenovaItaly
2. 2.Department of Electric, Electronic, Telecommunications Engineering and Naval Architecture (DITEN)University of GenovaGenovaItaly

Mauro Parodi was appointed full professor of Basic Circuit Theory by the Engineering Faculty at the University of Genoa, Italy, in 1985. His scientific and teaching activity has been focusing on nonlinear circuits and systems theory, nonlinear modeling, and mathematical methods for treatment of experimental data. He is currently affiliated with the Department of Electrical, Electronic, Telecommunications Engineering and Naval Architecture at the University of Genoa, where he is teaching Mathematical Methods for Engineers and Applied Mathematical Modeling.

Marco Storace received a Ph.D. degree in Electrical Engineering from the University of Genoa, Italy, in 1998. He was appointed full professor by the same university in 2011 and is currently affiliated with the Department of Electrical, Electronic, Telecommunications Engineering and Naval Architecture. He was visiting professor at EPFL, Lausanne, Switzerland, in 1998 and 2002, respectively. His main research focus is on nonlinear circuit theory and applications, with an emphasis on: circuit models of nonlinear systems such as systems with hysteresis and biological neurons; methods for piecewise linear approximation (and resulting circuit synthesis) of nonlinear systems; bifurcation analysis and nonlinear dynamics. He is currently teaching Basic Circuit Theory, Analog and Digital Filters, and Nonlinear Dynamics at the University of Genoa. From 2008 to 2009 he served as an Associate Editor of the IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II, and is currently a member of the IEEE Technical Committee on Nonlinear Circuits and Systems (TC-NCAS).

Bibliographic information

• Book Title Linear and Nonlinear Circuits: Basic & Advanced Concepts
• Book Subtitle Volume 1
• Authors Mauro Parodi
Marco Storace
• Series Title Lecture Notes in Electrical Engineering
• Series Abbreviated Title Lect. Notes Electrical Eng.
• DOI https://doi.org/10.1007/978-3-319-61234-8
• Copyright Information Springer International Publishing AG 2018
• Publisher Name Springer, Cham
• eBook Packages Engineering Engineering (R0)
• Hardcover ISBN 978-3-319-61233-1
• Softcover ISBN 978-3-319-87030-4
• eBook ISBN 978-3-319-61234-8
• Series ISSN 1876-1100
• Series E-ISSN 1876-1119
• Edition Number 1
• Number of Pages XXI, 273
• Number of Illustrations 307 b/w illustrations, 2 illustrations in colour
• Topics
• Buy this book on publisher's site
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