Generalized Form of Telegrapher's Equations for the Electromagnetic Field Coupling to Finite-Length Lines Above a Lossy Ground

Electromagnetic field coupling to overhead wires: Comparison of wire antenna and transmission line model in the frequency and time domain

“…The fundamental parameter to understanding the behaviour of induced fields is the knowledge of the current distribution induced on the line. This induced current generates scattered fields that not only propagate away from the equipment but also generate the so-called scattered voltage along the line [4]. Two models for the analysis of electromagnetic field coupling to finite length lines based on the wire antenna theory and transmission line model, respectively, in the frequency and time domain are outlined in this section.…”

“…The spatial current distribution along the overhead wire, shown in Fig 1, is governed by the Pocklington integro-differential equation [4]:…”

“…The classical TL approach has been extended to the combined electromagnetic field to transmission line coupling equations valid for overhead wires above perfectly conducting (PEC) ground in [2] and [3]. A clear relationship between TL equations and integral equations arising from the wire antenna theory in the frequency domain including the effect of a lossy ground has been presented in [4]. In particular, in [4] the standard set of Telegrapher's equations is deduced from the generalized Telegrapher's equations derived from the antenna theory.…”

“…A clear relationship between TL equations and integral equations arising from the wire antenna theory in the frequency domain including the effect of a lossy ground has been presented in [4]. In particular, in [4] the standard set of Telegrapher's equations is deduced from the generalized Telegrapher's equations derived from the antenna theory. A trade-off between the TL and antenna theory approach for the transient analysis of grounding electrodes has been carried out in [5].…”

Time domain modeling of a thin wire in a two-media configuration featuring a simplified reflection/transmission coefficient approach

“…However, most of the studies related to the thin wire radiating in the presence of a twomedia configuration are usually carried out in the frequency domain [1][2][3][4][5][6][7][8][9][10][11][12]. The corresponding time domain parameters then can be obtained using the inverse Fourier transform.…”