Transmission Lines and Lumped Circuits

Fundamentals and Applications


  • Giovanni Miano, Universita di Napoli Federico II, Italy
  • Antonio Maffucci, Universita di napoli Federico II, Italy

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.
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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.


Book information

  • Published: January 2001
  • ISBN: 978-0-12-189710-9

Table of Contents

ForewordPrefaceIntroductionTransmission Line Equations and PropertiesIdeal Two-Conductor Transmission Lines Connected to Lumped CircuitsIdeal Multiconductor Transmission LinesLossy Two-Conductor Transmission LinesLossy Two-Conductor Transmission Lines with Frequency-Dependent ParametersLossy Multiconductor Transmission LinesNonuniform Transmission LinesTransmission Line Equations in Characteristic FormLumped Nonlinear Networks Interconnected by Transmission LinesQualitative Analysis of an Ideal Two-Conductor Line Connected to Nonlinear Resistors: Periodic Solutions, Bifurcations and ChaosAppendix A: Some Useful Notes on the Matrix OperatorsAppendix B: Some Useful Notes on the Laplace TransformationAppendix C: Some a-priori EstimatesAppendix D: Tables of Equivalent Representations of Transmission LinesReferencesIndex