Transmission Lines and Lumped Circuits: Fundamentals and ApplicationsThe 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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Contents
| 1 | |
| 15 | |
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 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 |
| 463 | |
| 471 | |
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Common terms and phrases
amplitude analytically assume asymptotic behavior backward behavior bounded branch Chapter characteristic characteristic curves characterized circuit complex conductor consequence consider constant continuous controlled corresponding defined depend described determine distributed domain dynamics effect eigenvalues eigenvectors electrical equal equations equivalent circuit evaluated existence expression Figure fixed point forward frequency function given hence ideal impedance impulse responses independent initial conditions integral interval introduced inverse known Laplace domain Laplace transform line ends line equations linear losses lossy lumped circuits matrix method nonlinear numerical obtain operator orbit parameters particular passive per-unit-length periodic positive possible problem propagation properties relations representation represented resistive resistor respectively satisfied shown in Fig solution solved sources stable term terminal transmission lines uniform uniqueness variables voltage voltage wave wave whereas zero
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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.