Optimization circuit model of a multiconductor transmission line

Abstract

This paper presents an optimization circuit model of multiconductor transmission lines in the time domain. Several methods allow calculation of the currents and the tensions distributed on the uniform transmission line. Most of these methods are limited to lines with constant losses, and only for linear loads. The macro-model we propose, using Pade approximant, employs more variables and allows it to reduce the necessary cells' number in modelization than the traditional cells cascade method. This macro-model, using the Modified Nodal Analysis method (MNA), is suitable for an inclusion in circuit simulator, such as Esacap, Spice, and Saber. The MNA method offers an efficient means to discretize transmission lines on real and complex cells compared to the conventional lumped discretization. In addition, the model can directly handle frequency-dependent line parameters in the time domain. An example, with experimental measures taken from literature, is presented to validate the model we propose, and show its importance. It is necessary for assuring the results validity obtained from Pade macro-model to study its stability and passivity.

Circuit models of lossy coaxial shielded cables connected to non-linear loads to analyze radiated and conducted susceptibilities

“…The solution to equations (1) for each cell is as follow [4–16]: where φ s11 (Δ z ), φ s12 (Δ z ), φ s12 (Δ z ) and φ s22 (Δ z ) are the elements of chain parameters given by, …”

Circuit models of multiconductor shielded cables: incident plane wave effect

“…The equations in Eqn are coupled sets of partial differential equations. To decouple them, a similar transformation is needed . Defining the transformation to mode quantities as …”

“…The equations in Eqn (2) are coupled sets of partial differential equations. To decouple them, a similar transformation is needed [4][5][6][7][8][9]. Defining the transformation to mode quantities as Substituting Eqn (17) into Eqn (2) gives, the system of equations for the inner conductors becomes…”

“…SPICE equivalent circuit models for multiconductor transmission lines without shields have drawn much attention, and many pieces of research have performed on them and their applications . Recently, some SPICE models were proposed to analyze bulk current injection test on lossless shielded cables in the time and frequency domains , where the injection clamp was considered as a longitudinal lumped current source.…”

Circuit Models of Lossy Multic onductor Transmission Lines: Incident Plane Wave Effect

“…In any case, the proposed models depend on one supposition that the TLs are lossless. After then, some lossless models have been proposed to consider the variety impacts of the occurrence plane wave on a MTL [9].These models can be implemented to compute transient responses In this paper, an equivalent circuit model for the analyses of the radiated susceptibility of lossy MTL, the model is substantial in the time and frequency domain with linear and nonlinear loads and effortlessly brought into the circuit simulators, such as Spice and ESACAP [10], [11]. The variation effect of incident plane wave on coaxial cable is studied with the proposed model.…”