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"walt" wrote in
ups.com: Walt, .... First, let me say that although the average source resistance at the plates appears to be 1400 ohms in the case I described, and IMHO I believe it is, I'm not in the position of stating that is as a fact. Ok, I think we are agreed that the measurements haven't directly supported that belief. What I do claim as a fact is that when the transmitter is loaded to deliver all available power to its load, the OUTPUT source resistance (or impedance) at the output terminals is the conjugate of its load. If it were a linear source and you delivered *maximum* (as opposed to *all*) to the load, I agree that the load impedance is the complex conjugate of the source impedance. That is essentially the Jacobi Maximum Power Transfer Theoram. The question is whether it is a sufficiently linear source to use that model. I'm differentiating between the conditions at the input of the pi- network and those at the output, because the energy storage effect of the network Q isolates the output from the input, such that the conditions at the output can be represented by an equivalent Thevenin generator. At the output terminals the conditions appearing at the input are irrelevant, such as the shape and duration of the voltage applied to the pi-network, as long as the energy storage Q is sufficient to support a constant voltage-current relationship (linear) at the output for whatever load is absorbing all the available power from the network. Thus, when all available power is delivered into a 50-ohm load the source resistance at the output terminals is 50 ohms. Please also review the later portion of Chapter 19, also available on my web page. On those pages I report the results of measurements using the load- variation method, which also shows the output source resistance to equal the load resistance when the amp is delivering all its available power. Walt, I have just re-read that section and note your measurements which explored the delta V and delta I for small load variation (delta R) where delta R is always negative, and calculated results. Your results are interesting. I have seen others report quite different results, and have found differently myself on rough measurements, but I note your comments on the sensitivity of the calculated Rs to tuning/matching which might reveal why other tests disagree. (It only takes one sound repeatable experiment that shows that the source impedance is not the conjugate of the load to disprove the generality.) On a practical note, the sensitivity discussed above does mean that if your assertion about matching is true, it is unlikely that transmitters are exactly matched. My measurements have been on transistor PAs with broadband transformer coupling to the load. The transmitters have had a lowpass filter with a break point well above operating frequency between the transistors and load. It is a different configuration, and although my measurements were rough, they indicated different apparent source impedance at different drive levels which questions the linear model for large signal operation, especially for modes with varying amplitude such as SSB telephony. Owen |
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