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Richard Clark wrote in
: I have restricted myself to the cyclic display of powers. .... Well, at a quick glance and noting no tabular form of data, what is presented wouldn't reveal cyclic variation anyway for two reasons: 1. It lacks resolution (not enough places); 2. It lacks sufficient mismatch. This is not a complaint, merely an observation because the evidence for your example is hidden deep in the decimal places. The graph at http://www.vk1od.net/lost/RG58sol.gif has not been labelled for presentation, so you will need to make some allowance in reading it. The case that is plotted is an extreme mismatch, ou you might argue impractical, but it is extreme enought to show the effects clearly on a graph. The x axis is displacement from the load (-ve towards the generator). The red line is the so called "forward power" (Real(Vf^2/Zo)) that would be indicated by a correctly calibrated sampler like a Bird 43, but correctly calibrated means for the actual Zo, not the nominal 50+j0. The dashed purple line is the so called "reflected power" (Real(Vr^2/Zo)) under the same conditions. The power at a point is shown by the cyan line. The dashed olive line is Real(Vf^2/Zo))-Real(Vf^2/Zo) (so called forward power - reflected power). It is not the same as as the power because it ignores two terms of the power expansion. A Bird 43 callibrated for the actual Zo would lead you to this line. This is a very detailed RLGC model, and it reveals from the P(x) line that attenuation per unit length is not constant, a result of the loss being higher in the region of a current maximum. Nevertheless, a sampler that responds to Vf or Vr will not expose the true power curve (due to the two missing terms). I have thought at times of writing an article that explains the effects on a true practical transmission line, and what practical instruments calibrated for 50+j0 would indicate. I doubt that it would have appeal, people like the "reflected power is dissipated in the transmitter and may overheat it" explanation... it is easier to swallow. Owen |
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