Variation effect of plane-wave incidence on multiconductor transmission lines

Abstract

This paper addresses the study of the variation effects of incident plane wave on a multiconductor transmission line (MTL), using a coupling circuit model of MTL line with plane wave based on the method of characteristics (Branin method). This model is valid in the time and frequency domains. It has also an advantage of not presupposing the conditions of the charges applied to its ends, which allows it to be easily inserted in circuit simulators, such as SPICE, SABER, and ESACAP. We confirm the validity of this model by comparing our simulation results under ESACAP with other results, and we discuss the variation effects of the incident plane wave on an MTL line.When multiconductor transmission line (MTL) is subjected to the incident wave interference, parasite voltages manifest at its end. This field/line coupling is represented by sources of voltages and currents forced and distributed along the line. Such sources are derived from components of the electromagnetic (EM) field of the incident wave. The latter are determined in the absence of the line. Traditional models of transmission lines represent phenomena related to the EM compatibility mode channel (near and far-crosstalk, etc.) [1][2][3][4]; by contrast, they do not take into account the phenomena related to the immunity radiated by an external disturbance wave (radiated mode).The coupling of a plane EM wave to MTL has been investigated by several authors in the time domain as well as in the frequency domain [5][6][7][8]. In [8], Paul presents three methods (spice model, time domain-to-frequency domain transformation, and finite difference time domain method) to solve the problem of an MTL excited by an incident EM field and to predict the voltage and current in the time domain or in the frequency domain.For more than 40 years Bergeron's model [9] has provided a widely accepted solution for transmission line modeling, It is used to study the ideal or coupled transmission lines, connected to linear or nonlinear loads [5,6,10]. The graphical method of Bergeron provides voltage and current levels at the ends of a transmission line for each new signal reflection at the end of the line.But in the last 40 years electrical systems have changed greatly. The aperture of the markets and the introduction of renewable energy have led systems to operate at the limit of safety. The major advantage of the graphical method is the ability to account for nonlinear loads. However, the major drawback of this method is that practically outside the ideal line and lossless lines coupled, the analysis is very complex and graphics obtained are very difficult to exploit.However, there exist equivalent models of fields/lines coupling, which are only valid in the frequency domain; namely Taylor's model [11] whose unknowns of the system formed by the two telegrapher's equations are the total voltage and current V(z) and I(z), the Agrawal model [12] whose unknowns of the telegrapher's equations are the diffracted voltage V dif (z) and the total current I(z), and the Rachidi model [13]...

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

“…used some SPICE models to analyze the conducted and radiated susceptibilities of lossless coaxial cables [9], However, the proposed models rely on one assumption that the coaxial cables are lossless. After then, some lossless models have been proposed to study the variation effects of the incident plane wave on a MTL without shields [10]. These models can be employed directly in the time and frequency domains.…”

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.…”