# Transmission Lines and Lumped Circuits: Fundamentals and Applications

Elsevier, Feb 23, 2001 - Technology & Engineering - 479 pages
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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### Contents

 Chapter 2 Ideal TwoConductor Transmission Lines Connected to Lumped Circuits 49 Chapter 3 Ideal Multiconductor Transmission Lines 93 Chapter 4 Lossy TwoConductor Transmission Lines 129 Chapter 5 Lossy TwoConductor Transmission Lines with FrequencyDependent Parameters 181 Chapter 6 Lossy Multiconductor Transmission Lines 215 Chapter 7 Nonuniform Transmission Lines 265 Chapter 8 Transmission Line Equations in Characteristic Form 305 Chapter 9 Lumped Nonlinear Networks Interconnected by Transmission Lines 337
 Periodic Solutions Bifurcations and Chaos 377 Appendix A Some Useful Notes on the Matrix Operators 435 Appendix B Some Useful Notes on the Laplace Transformation 445 Appendix C Some apriori Estimates 453 Appendix D Tables of Equivalent Representations of Transmission Lines 457 References 463 Index 471 Copyright

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Page ii - ... technology. Its objective is to meet the needs of researchers, students, and practicing engineers. Books Published in the Series Giorgio Bertotti, Hysteresis in Magnetism: For Physicists, Material Scientists, and Engineers Scipione Bobbio, Electrodynamics of Materials: Forces, Stresses, and Energies in Solids and Fluids Alain Bossavit, Computational Electromagnetism: Variational Formulations, Complementarity, Edge Elements MVK Chari and SJ Salon, Numerical Methods in Electromagnetism Goran Engdahl,...
Page 470 - Fast and accurate switching transient calculations on transmission lines with ground return using recursive convolutions,
Page ii - Giovanni Miano and Antonio Maffucci, Transmission Lines and Lumped Circuits Shan X. Wang and Alexander M. Taratorin, Magnetic Information Storage Technology Related Books John C. Mallinson, The Foundations of Magnetic Recording, Second Edition Reinaldo Perez, Handbook of Electromagnetic Compatibility Related Journals A sample journal issue is available online by visiting the homepage of the journal (homepage details at the top of this page). Free specimen copy gladly sent on request.
Page 464 - Arbitrary Pulse Shape Synthesis via Nonuniform Transmission Lines,
Page 23 - India. where /4 is the magnetic permeability and a is the electrical conductivity of the fluid.
Page xxii - In particular, we appreciate the support for the development of this text from the Department of Electrical Engineering of the University of Naples, Federico II.