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Lossy Transmission Lines (lossy + transmission_line)
Selected AbstractsA transmission line modelling (TLM) method for steady-state convection,diffusionINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 9 2007Alan Kennedy Abstract This paper describes how the lossy transmission line modelling (TLM) method for diffusion can be extended to solve the convection,diffusion equation. The method is based on the correspondence between the convection,diffusion equation and the equation for the voltage on a lossy transmission line with properties varying exponentially over space. It is unconditionally stable and converges rapidly to highly accurate steady-state solutions for a wide range of Peclet numbers from low to high. The method solves the non-conservative form of the convection,diffusion equation but it is shown how it can be modified to solve the conservative form. Under transient conditions the TLM scheme exhibits significant numerical diffusion and numerical convection leading to poor accuracy, but both these errors go to zero as a solution approaches steady state. Copyright © 2007 John Wiley & Sons, Ltd. [source] Transition probability coefficients and the stability of finite difference schemes for the diffusion and Telegraphers' equationsINTERNATIONAL JOURNAL OF NUMERICAL MODELLING: ELECTRONIC NETWORKS, DEVICES AND FIELDS, Issue 3 2002Michal J. Malachowski A probabilistic approach has been used to analyse the stability of the various finite difference formulations for propagation of signals on a lossy transmission line. If the sign of certain transition probabilities is negative, then the algorithm is found to be unstable. We extend the concept to consider the effects of space and time discretizations on the signs of the coefficients in a probabilistic finite difference implementation of the Telegraphers' equation and draw parallels with the transmission line matrix (TLM) technique. Copyright © 2002 John Wiley & Sons, Ltd. [source] Comparison of distributed and lumped element models for analysis of filtering properties of nonlinear transmission linesINTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING, Issue 6 2002F. Martín Abstract The filtering properties of periodic loaded lossy transmission lines are studied from the point of view of microwave network theory. Under the condition that the per-section capacitance of the line is small compared to that of the loading capacitors, it is shown that the distributed circuit can be described accurately by means of a lumped element ladder network. The effects of transmission line losses on this approximation are also analyzed. © 2002 Wiley Periodicals, Inc. Int J RF and Microwave CAE 12, 503,507, 2002. Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mmce.10050 [source] Magnitude of the voltage reflection coefficient of terminated reciprocal uniform lossy transmission linesMICROWAVE AND OPTICAL TECHNOLOGY LETTERS, Issue 7 2007D. Torrungrueng Abstract In this paper, lossy transmission lines with arbitrary loss are analyzed in detail. Interestingly, analytical results show that the magnitude of the voltage reflection coefficient could be greater than unity for some passive load terminations. However, it can be shown rigorously that the input power is always greater than or equal to the power at the load; i.e., it still satisfied the law of power conservation even when the magnitude of the voltage reflection coefficient is greater than unity. In addition, the Smith chart is also employed to graphically illustrate that the magnitude of the voltage reflection coefficient at some points along lossy transmission lines could be greater than unity for proper load terminations. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 1516,1519, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22490 [source] | ||||||||||