1,721,184 research outputs found
Associated resistive and discrete circuits in the qualitative analysis of networks of distributed and lumped circuits
No full textOn the uniqueness of the numerical solutions of nonlinearly loaded lossy transmission lines
No full textThe purpose of this paper is to investigate the uniqueness of the solution of lossy lines with frequency-dependent parameters terminated with non-linear resistors. Several solutions that satisfy the same initial conditions may exist if the terminal resistors are locally active. In these cases the uniqueness of solution is assured adding parasitic capacitances in parallel to the voltage controlled resistors and parasitic inductances in series to the current controlled resistors. In this way, among all the possible solutions, the only one that assures the time continuity of the current and voltage waveforms at the ends of the line is captured. In the light of these results, the properties of numerical models of these distributed circuits based on convolution techniques have been studied, and conditions assuring the uniqueness of the numerical solution have been found. Numerical simulations, when based on qualitative information of this type, enable us to obtain the quantitative properties in an efficient manner. In particular, a simple numerical method that enforces artificially the time continuity of the solution is proposed to circumvent the need of adding parasitics
Irregular Terms in the Impulse Response of a Multiconductor Lossy Transmission Line
No full textLinear multiconductor transmission lints can be effectively represented in the time domain as a dynamic multiport through the describing input and transfer impulse responses, Unfortunately, these responses cannot be analytically evaluated for the most general case of lossy lines. In addition, they cannot even be evaluated numerically due to the presence of irregular terms such as Dirac pulses, functions that actually approximates Dirac pulses, and functions of the type 1/root t. Nevertheless, all these irregular terms can be isolated from the regular ones. This paper proposes an analytical method to evaluate exactly the irregular terms. This method is based on the perturbation theory of the spectrum of symmetric matrices and can be easily and effectively applied to the most general case of frequency-dependent lossy multiconductor lines. Once the irregular parts of the impulse responses are known, it is possible to evaluate accurately the regular ones through simple numerical methods, as shown through some examples
Associated resistive and discrete circuits in the qualitative analysis of networks of distributed and lumped circuits
No full textA new method to evaluate the impulse responses of multiconductor lossy transmission lines
No full text
A new method to evaluate the impulse responses of multiconductor lossy transmission lines
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