Transmission Lines and Lumped Circuits: Fundamentals and Applications

Front Cover
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 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.

About the author (2001)

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.