Cover image for Transmission lines and lumped circuits
Title:
Transmission lines and lumped circuits
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Publication Information:
San Diego : Academic Press, 2001
ISBN:
9780121897109
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30000004572305 TK7872.T74 M53 2001 Open Access Book Book
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Summary

Summary

The theory of transmission lines is a classical topic of electrical engineering. Recently this topic has received renewed attention and has been a focus of considerable research. This is because the transmisson line theory has found new and important applications in the area of high-speed VLSI interconnects, while it has retained its significance in the area of power transmission. In many applications, transmission lines are connected to nonlinear circuits. For instance, interconnects of high-speed VLSI chips can be modelled as transmission lines loaded with nonlinear elements. These nonlinearities may lead to many new effects such as instability, chaos, generation of higher order harmonics, etc. The mathematical models of transmission lines with nonlinear loads consist of the linear partial differential equations describing the current and voltage dynamics along the lines together with the nonlinear boundary conditions imposed by the nonlinear loads connected to the lines. These nonlinear boundary conditions make the mathematical treatment very difficult. For this reason, the analysis of transmission lines with nonlinear loads has not been addressed adequately in the existing literature. The unique and distinct feature of the proposed book is that it will present systematic, comprehensive, and in-depth analysis of transmission lines with nonlinear loads.


Author Notes

Antonio Maffucci is Associate Professor of Electrical Engineering at the University of Cassino and Southern Lazio. Since 2014, he has also been associated to the INFN, Frascati National Laboratories. His research focuses on issues of electromagnetic and circuit modeling, computational electromagnetics, electromagnetic compatibility, nanotechnology. He is the author of 160 international publications, 3 reviews, 1 book, 7 book chapters and 4 receiverships.


Reviews 1

Choice Review

Miano and Maffucci offer a complete and general look at analysis methods for electrical circuits containing transmission lines. Their book goes beyond the traditional treatment of transmission lines to include lines connected to time-varying or nonlinear loads. The transmission lines are modeled as time-domain multiport circuits; each chapter adds details to cover specific situations. After an introductory chapter covering basic transmission line theory, the book discusses, in order, ideal two-conductor lines, ideal multiconductor lines, lossy two-conductor lines, frequency dependent two conductor lines, lossy multiconductor lines, and nonuniform transmission lines. The book concludes with discussions of the transmission lines characteristic equation, lines connected to nonlinear networks, and transmission line circuits with chaotic responses conclude. An invaluable resource to researchers and graduate students interested in all aspects of transmission lines, from high-speed microelectronic interconnections to high-voltage power lines. L. J. Bohmann Michigan Technological University


Table of Contents

Foreword
Preface
Introduction Transmission Line
Equations and Properties Ideal Two-Conductor Transmission Lines
Connected to Lumped Circuits Ideal Multiconductor Transmission Lines
Lossy Two-Conductor Transmission Lines
Lossy Two-Conductor Transmission Lines with Frequency-Dependent Parameters
Lossy Multiconductor Transmission Lines
Nonuniform Transmission Lines
Transmission Line Equations in Characteristic Form
Lumped Nonlinear Networks Interconnected by Transmission Lines
Qualitative Analysis of an Ideal Two-Conductor Line Connected to Nonlinear Resistors: Periodic Solutions, Bifurcations and Chaos
Appendix A Some Useful Notes on the Matrix Operators
Appendix B Some Useful Notes on the Laplace Transformation
Appendix C Some a-priori Estimates
Appendix D Tables of Equivalent Representations of Transmission Lines
References
Index