Abstract
The paper deals with two different approaches for the analysis of electromagnetic field coupling to finite length overhead wire: the wire antenna theory (AT) and the transmission line (TL) method. The analysis is carried out in the frequency and time domain, respectively. Within the frequency domain analysis the wire antenna formulation deals with the corresponding set of Pocklington integrodifferential equation, while the transmission line model uses the telegrapher's equations. The set of Pocklington equations is solved via the Galerkin-Bubnov scheme of the Indirect Boundary Element Method (GB-IBEM), while the telegrapher’s equations are treated using the chain matrix method and the modal equation to derive per-unit-length parameters. For the case of the time domain analysis AT model uses the space-time Hallen integral equation set, while TL approach deals with the time domain version of the telegrapher’s equations. Hallen equations are handled via time domain version of GB-IBEM, while time domain telegrapher’s equations are solved by using Finite Difference Time Domain (FDTD) method. Many illustrative computational examples for the frequency and time domain response, respectively, for several configurations of overhead wires, obtained via different approaches, are given in this paper.
Highlights
The electromagnetic field coupling to overhead wires is of great practical interest for many electromagnetic compatibility (EMC) applications [1,2,3,4,5,6,7,8,9,10,11], such as transient excitation of antennas, power, or communications cables
The paper reviews the models and methods used for the analysis of electromagnetic field coupling to overhead wires in the frequency and time domain, respectively, using the wire antenna theory and the transmission line approximation, respectively
The frequency domain wire antenna model is based on the space-time Pocklington integral equations, while the transmission line model is based on the frequency domain Telegrapher’s equations
Summary
The electromagnetic field coupling to overhead wires is of great practical interest for many EMC applications [1,2,3,4,5,6,7,8,9,10,11], such as transient excitation of antennas, power, or communications cables. The electromagnetic field coupling to finite length overhead wires can be determined by means of the transmission line model or the thin wire antenna theory in either frequency or time domain [1]. Many practical engineering problems dealing with electromagnetic field coupling to thin wires can be analyzed by using the Transmission Line (TL) models [1,2,3,4,5,6]. This paper deals with the analysis of electromagnetic field coupling to overhead wires in either frequency or time domain by using both antenna model and transmission line approach, respectively. The conclusion summarizes what has been discussed throughout this work
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