## Transmission Lines and Lumped Circuits: Fundamentals and Applications (Electromagnetism)

### Giovanni Miano; Antonio Maffucci

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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.

• A unified approach for the analysis of networks composed of distributed and lumped circuits
• A simple, concise and completely general way to present the wave propagation on transmission lines, including a thorough study of the line equations in characteristic form
• Frequency and time domain multiport representations of any linear transmission line
• A detailed analysis of the influence on the line characterization of the frequency and space dependence of the line parameters
• A rigorous study of the properties of the analytical and numerical solutions of the network equations
• The associated discrete circuits and the associated resisitive circuits of transmission lines
• Periodic solutions, bifurcations and chaos in transmission lines connected to noninear lumped circuits

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From the Back Cover:

The time-domain analysis of networks composed of linear transmission lines and nonlinear and/or time-varying lumped circuits is at the basis of design and verification of modern high-speed electronic circuits and large power distribution systems.

This book provides an in-depth and comprehensive study of time-domain models of these networks.

The theory of wave propagation on linear transmission lines is presented with an unified approach, that is applicable to any kind of line: two-conductor or multiconductor, lossless or lossy, uniform or nonuniform, with parameters depending or not on frequency.

A general method is described to characterize the terminal behavior of transmission lines, and to obtain equivalent circuit representations, both in the frequency and in the time domain.

Unique feature of this book is the extension of fundamental concepts of the lumped circuit theory, such as those of associated discrete circuit and of associated resistive circuit, to networks of transmission lines and lumped circuits.
The well-posedness of the network equations and their numerical approximations is deeply investigated by using these concepts.

Fascinating phenomena such as periodic solutions, bifurcations and chaos are observed in transmission lines connected to nonlinear active elements.

Key Features
· A simple, concise and completely general way to present the wave propagation on transmission lines, including a thorough study of the line equations in characteristic form.
· Frequency and time domain characterization of the terminal behavior of any linear transmission line.
· A unified approach for the analysis of networks composed of distributed and lumped circuits.
· Bifurcations and chaos in transmission lines.
Benefits
The book is intended as a reference in advanced courses of Circuit Theory and Design, Electromagnetism, Electromagnetic Compatibility, and as a guide for researchers and industrial professionals involved in the computer-aided design of electrical and electronic networks.

The students will find here a simple but rigorous explanation of wave propagation along transmission lines, a completely general method to characterize the terminal behavior of the lines both in frequency and time domain, and a unified approach to study networks composed of distributed and lumped circuits.

The researchers and professionals will appreciate the time domain modeling of distributed circuits, providing simple equivalent circuit representations, ready to be implemented in SPICE-like circuit simulators, for the analysis of large networks.
This book will be of interest to a broad audience of engineers and researchers involved in electromagnetic analysis, design of VLSI circuits, power systems, and CAD software development.

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.

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Book Description Elsevier Science Publishing Co Inc, United States, 2001. Hardback. Book Condition: New. New.. Language: English . Brand New Book. 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. Bookseller Inventory # AA59780121897109