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Lossy Transmission Line Modeling And Simulation Using Special Functions
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Book Synopsis Lossy Transmission Line Modeling and Simulation Using Special Functions by :
Download or read book Lossy Transmission Line Modeling and Simulation Using Special Functions written by and published by . This book was released on 2006 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new algorithm for modeling and simulation of lossy interconnect structures modeled by transmission lines with Frequency Independent Line Parameters (FILP) or Frequency Dependent Line Parameters (FDLP) is developed in this research. Since frequency-dependent RLGC parameters must be employed to correctly model skin effects and dielectric losses for high-performance interconnects, we first study the behaviors of various lossy interconnects that are characterized by FILP and FDLP. Current general macromodeling methods and Model Order Reduction (MOR) algorithms are discussed. Next, some canonical integrals that are associated with transient responses of lossy transmission lines with FILP are presented. By using contour integration techniques, these integrals can be represented as closed-form expressions involving special functions, i.e., Incomplete Lipshitz-Hankel Integrals (ILHIs) and Complementary Incomplete Lipshitz-Hankel Integrals (CILHIs). Various input signals, such as ramp signals and the exponentially decaying sine signals, are used to test the expressions involving ILHIs and CILHIs. Excellent agreements are observed between the closed-form expressions involving ILHIs and CILHIs and simulation results from commercial simulation tools. We then developed a frequency-domain Dispersive Hybrid Phase-Pole Macromodel (DHPPM) for lossy transmission lines with FDLP, which consists of a constant RLGC propagation function multiplied by a residue series. The basic idea is to first extract the dominant physical phenomenology by using a propagation function in the frequency domain that is modeled by FILP. A rational function approximation is then used to account for the remaining effects of FDLP lines. By using a partial fraction expansion and analytically evaluating the required inverse Fourier transform integrals, the time-domain DHPPM can be decomposed as a sum of canonical transient responses for lines with FILP for various excitations (e.g., trapezoidal and unit-step). These canonical transient responses are then expressed analytically as closed-form expressions involving ILHIs, CILHIs, and Bessel functions. The DHPPM simulator can simulate transient results for various input waveforms on both single and coupled interconnect structures. Comparisons between the DHPPM results and the results produced by commercial simulation tools like HSPICE and a numerical Inverse Fast Fourier Transform (IFFT) show that the DHPPM results are very accurate.
Book Synopsis Model Development Via Delay Extraction for the Time-domain Simulation of Lossy Transmission Lines by : Chris Blevins
Download or read book Model Development Via Delay Extraction for the Time-domain Simulation of Lossy Transmission Lines written by Chris Blevins and published by . This book was released on 2010 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents two new approaches for the broadband, time-domain modeling of lossy transmission lines. Each approach is based on an alternative derivation of delay extraction in order to separate the line's linear phase from its attenuation and dispersion. Augmentation networks represent the derived attenuation networks as rational function approximations. Final network models are implemented in a SPICE circuit simulator for transient analysis. The first approach to extract delay is based on the properties of the eigenvectors of the matrix exponential function in the solution to the telegrapher's equations. The resultant network contains an ideal transmission line cascaded with two asymmetrical delayless attenuation networks. When applied to a single line with constant line parameters, the resultant attenuation networks are inherently non-passive and to which accurate low-order broadband approximations are not possible. The effects of alternative mathematical techniques such as factorization, forcing reciprocity, and eigenvector normalization or scaling, are applied to determine if passive, low-order approximations of the augmentation networks are obtainable. The second approach utilizes a similarity transformation at each transmission line port to obtain commutable matrix exponentials in order to extract delay. The resulting model includes a cascade of one or more delayless networks, an ideal transmission line of unity characteristic impedance, and transformation networks at each port. This approach is applied to single and coupled lines at lengths ranging from 5 cm to 10 m and frequencies up to 5 GHz. The resultant time-domain models are accurate with low-order approximations for lines with constant, non-zero per-unit-length parameters. Lines with zero shunt conductance or frequency-dependent line parameters prove difficult to accurately model at low-orders with this approach.
Book Synopsis Power Integrity for Electrical and Computer Engineers by : J. Ted Dibene, II
Download or read book Power Integrity for Electrical and Computer Engineers written by J. Ted Dibene, II and published by John Wiley & Sons. This book was released on 2019-09-24 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: A professional guide to the fundamentals of power integrity analysis with an emphasis on silicon level power integrity Power Integrity for Electrical and Computer Engineers embraces the most recent changes in the field, offers a comprehensive introduction to the discipline of power integrity, and provides an overview of the fundamental principles. Written by noted experts on the topic, the book goes beyond most other resources to focus on the detailed aspects of silicon and optimization techniques in order to broaden the field of study. This important book offers coverage of a wide range of topics including signal analysis, EM concepts for PI, frequency domain analysis for PI, numerical methods (overview) for PI, and silicon device PI modeling. Power Integrity for Electrical and Computer Engineers examine platform technologies, system considerations, power conversion, system level modeling, and optimization methodologies. To reinforce the material presented, the authors include example problems. This important book: • Includes coverage on convergence, accuracy, and error analysis and explains how these can be used to analyze power integrity problems • Contains information for modeling the power converter from the PDN to the load in a full system level model • Explores areas of device level modeling of silicon as related to power integrity • Contains example word problems that are related to an individual chapter’s subject Written for electrical and computer engineers and academics, Power Integrity for Electrical and Computer Engineers is an authoritative guide to the fundamentals of power integrity and explores the topics of power integrity analysis, power integrity analytics, silicon level power integrity, and optimization techniques.
Book Synopsis A Fast, Passive and Accurate Model Generation Algorithm for Rlcg Transmission Lines with Skin Effects by :
Download or read book A Fast, Passive and Accurate Model Generation Algorithm for Rlcg Transmission Lines with Skin Effects written by and published by . This book was released on 2005 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accurate simulation of lossy transmission lines with skin effects has always been difficult or at least inefficient. Although modeling lossy transmission lines without skin effects can be carried out efficiently and accurately, including accurate skin effect model either affect accuracy or efficiency. Skin effect is accurately approximated using the simple form "A+B*sqrt(s)" at high frequencies, i.e. when "s" is large. However, this form is not passive. Passivity guarantees stability. Since a transmission line is a passive device, its model should also be passive such that the simulation depending on it is stable. If skin effect is approximated by "A+B*sqrt(s)" and directly incorporated into a model, the simulation based on that model may become unstable. In this thesis, a method to generate a passive, accurate and compact model for a lossy transmission line with skin effect is introduced. The method is developed on a RLC lumped equivalent circuit of a transmission line. By applying a passive model order reduction algorithm and exploring the properties of the transmission line equivalent circuit, we found out a novel way to map the model reduction process into solving integrals. By matching moments implicitly, a passive and accurate model for a lossy transmission line with skin effect can be generated rapidly.
Book Synopsis The Transmission-line Modeling (TLM) Method in Electromagnetics by : Christos Christopoulos
Download or read book The Transmission-line Modeling (TLM) Method in Electromagnetics written by Christos Christopoulos and published by Morgan & Claypool Publishers. This book was released on 2006 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the topic in electromagnetics known as Transmission-Line Modeling or Matrix method-TLM. While it is written for engineering students at graduate and advanced undergraduate levels, it is also highly suitable for specialists in computational electromagnetics working in industry, who wish to become familiar with the topic. The main method of implementation of TLM is via the time-domain differential equations, however, this can also be via the frequency-domain differential equations. The emphasis in this book is on the time-domain TLM. Physical concepts are emphasized here before embarking onto mathematical development in order to provide simple, straightforward suggestions for the development of models that can then be readily programmed for further computations. Sections with strong mathematical flavors have been included where there are clear methodological advantages forming the basis for developing practical modeling tools. The book can be read at different depths depending on the background of the reader, and can be consulted as and when the need arises.
Book Synopsis Transmission Lines and Lumped Circuits by : Giovanni Miano
Download or read book Transmission Lines and Lumped Circuits written by Giovanni Miano and published by Elsevier. This book was released on 2001-02-23 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis A Novel Approach for the Transient Simulation of the Coupled Transmission Lines Characterized with the Frequency-dependent Losses Using Scattering-Parameter Based Macromodel by : Jimmy Shinn-Hwa Wang
Download or read book A Novel Approach for the Transient Simulation of the Coupled Transmission Lines Characterized with the Frequency-dependent Losses Using Scattering-Parameter Based Macromodel written by Jimmy Shinn-Hwa Wang and published by . This book was released on 1994 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lossy Transmission Line Model for Computer Analysis by : Kitty S. Freeman
Download or read book Lossy Transmission Line Model for Computer Analysis written by Kitty S. Freeman and published by . This book was released on 1980 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2006 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Transmission-line Modeling Method by : Christos Christopoulos
Download or read book The Transmission-line Modeling Method written by Christos Christopoulos and published by Oxford University Press, USA. This book was released on 1995 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by renowned researcher Christos Christopoulos, this book covers a broad area of electromagnetics, including microwaves, antennas, radar cross-section, electromagnetic compatibility, and electromagnetic heating. In addition, you will find a clear explanation of modeling principles from lumped components through one-, two, and three-dimensional complex systems.
Book Synopsis Simulation and Design of Lossy Transmission Lines in a Thin Film Multichip Package by : Deepak Nayak
Download or read book Simulation and Design of Lossy Transmission Lines in a Thin Film Multichip Package written by Deepak Nayak and published by . This book was released on 1989 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Simulation of Lossy Transmission Lines for Transient Analysis by : Kanaiyalal Ramanlal Shah
Download or read book Simulation of Lossy Transmission Lines for Transient Analysis written by Kanaiyalal Ramanlal Shah and published by . This book was released on 1971 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling and Simulation of High Speed VLSI Interconnects by : Michel S. Nakhla
Download or read book Modeling and Simulation of High Speed VLSI Interconnects written by Michel S. Nakhla and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Simulation of High Speed VLSI Interconnects brings together in one place important contributions and state-of-the-art research results in this rapidly advancing area. Modeling and Simulation of High Speed VLSI Interconnects serves as an excellent reference, providing insight into some of the most important issues in the field.
Book Synopsis Optimal Design in Self-damped Lossy Transmission Lines for Multichip Modules by : Jimmy Shinn-Hwa Wang
Download or read book Optimal Design in Self-damped Lossy Transmission Lines for Multichip Modules written by Jimmy Shinn-Hwa Wang and published by . This book was released on 1993 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Installation of a Lossy Transmission Line Model for Transient Analysis in SPICE3E2 by : Hem Satsangi
Download or read book Installation of a Lossy Transmission Line Model for Transient Analysis in SPICE3E2 written by Hem Satsangi and published by . This book was released on 1993 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fast Transient Simulation of Lossy Transmission Lines by : He (Vincent) Peng
Download or read book Fast Transient Simulation of Lossy Transmission Lines written by He (Vincent) Peng and published by . This book was released on 2006 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, an efficient approach is proposed for the problem of transient simulation of lossy transmission lines. The complexity of the conventional convolution approach for lossy transmission lines is reduced from O(N^2) to O(Nlog^2N) by utilizing a multilevel FFT convolution method, where N is the total number of time points. Numerical convolution formula that exploits both the analytical forms of the lossy transmission line impulse responses and adaptive time steps are developed for the multilevel FFT convolution method. A new breakpoint control scheme is also proposed to adaptively control the time step. Experimental results show the proposed approach is over 100 times faster than berkeley SPICE3 [1, 4] while remains the same accuracy.
Book Synopsis A New Technique for the Transient Simulation of Transmission Lines Inclusive of Skin Effect by :
Download or read book A New Technique for the Transient Simulation of Transmission Lines Inclusive of Skin Effect written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach is presented for the transient simulation of lossy transmission lines in high-speed circuits. The approach is based on developing a model for the transmission line which is structured around natural modes of oscillation unlike other transmission-line models which are based on travelling waves. The principal advantage of the new approach is that conversion of frequency-domain prototype models for the transmission lines to the time domain for use in circuit simulators is particularly straightforward and obviates the need for numerical convolution. An illustrative caseis given to confirm the efficacy of the new approach.
