Electromagnetic Field Coupling to Overhead Wire Configurations: Antenna Model versus Transmission Line Approach

<table>Geometry No. 1: Two-wire array above a PEC ground (<svg height="10.85" id="M325" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 56.875 10.85" width="56.875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.85)">
<g transform="translate(72,-63.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="9.7398367" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.780226" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="30.119726" y="0">c</tspan>
<tspan style="font-size: 12.50px; " x="35.671059" y="0">m</tspan>
</text>
</g>
</g>
</svg>, <svg height="10.9125" id="M326" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 60.974998 10.9125" width="60.974998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
<tspan style="font-size: 12.50px; " x="12.315455" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="24.355844" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="30.607344" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="38.946846" y="0">m</tspan>
</text>
</g>
</g>
</svg>, <svg height="10.875" id="M327" style="vertical-align:-0.15048pt" version="1.1" viewbox="0 0 50.400002 10.875" width="50.400002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.875)">
<g transform="translate(72,-63.3)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑑</tspan>
<tspan style="font-size: 12.50px; " x="10.114927" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.155315" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="30.494818" y="0">m</tspan>
</text>
</g>
</g>
</svg>, <svg height="14.7125" id="M328" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 57.200001 14.7125" width="57.200001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7125)">
<g transform="translate(72,-60.23)">
<text transform="matrix(1,0,0,-1,-71.95,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">ℎ</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.74,60.28)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
</text>
<text transform="matrix(1,0,0,-1,-56.39,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="20.367388" y="0">m</tspan>
</text>
</g>
</g>
</svg>, and <svg height="14.7125" id="M329" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 57.200001 14.7125" width="57.200001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7125)">
<g transform="translate(72,-60.23)">
<text transform="matrix(1,0,0,-1,-71.95,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">ℎ</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.74,60.28)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,-56.39,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="20.367388" y="0">m</tspan>
</text>
</g>
</g>
</svg>).</table>

International Journal of Antennas and Propagation

fig13

Figure 13

Figure 13: Electromagnetic Field Coupling to Overhead Wire Configurations: Antenna Model versus Transmission Line Approach 