Abstract

This paper considers plane wave coupling to a transmission line consisting of an aerial wire above a conducting ground. Simple circuit models are constructed for the terminating impedances at the ends of the line including radiation effects. We consider the following load topologies: open circuit, short circuit, and grounded rods. Results from the transmission line model with these loads show good agreement with full-wave simulations.

Highlights

  • In this paper we investigate transmission line models for an aerial wire above a conductive half space

  • We concentrate on developing lumped loads representing corrections to the distributed transmission line elements in order to approximately account for the fringe field corrections at the ends of the line under open circuit and short circuit terminations and grounded rods, as well as elements to account for radiation of the line

  • Derivations of formulas discussed in this paper can be found in [14], where we discuss and compare the two existing approaches for modeling plane wave field coupling to transmission lines in order to sort out the relevant sources and the associated meaning of the voltage and current solutions

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Summary

Introduction

In this paper we investigate transmission line models for an aerial wire above a conductive half space. We concentrate on developing lumped loads representing corrections to the distributed transmission line elements in order to approximately account for the fringe field corrections at the ends of the line under open circuit and short circuit terminations and grounded rods, as well as elements to account for radiation of the line. For a short circuit termination, since we will use an image in the ground to describe the return current, the lumped inductance element will be somewhat approximate (but yet useful) unless the skin depth in the conductive half space becomes smaller than the line height above the ground. The radiation elements are derived for a line with a reasonably concentrated image current, and are limited to this small skin depth case. We believe this analytical method is an alternative, fast and reliable option to a full-wave solution, which could be rather slow when considering long lines

Transmission line model
Short circuit inductive termination
Open circuit capacitive termination
Ground rod termination
Low conductivity ground
High conductivity ground
General conductivity ground
Radiation losses
Open-short case
End reflection method
Conclusions
Methods and Computational

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