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Efficiency and maximum power transfer
On Fri, 06 Jun 2008 20:58:13 -0500, Cecil Moore wrote:
Antonio Vernucci wrote: Usually, when a transmitter is tuned for maximum output power, efficiency results to be higher than 50% (typically 60% for class-B, 70% for class-C). This would seem to contradict the above cited fact that, under maximum power transfer condition, efficiency is 50%. The maximum power transfer theorem only applies to linear sources. What is the linear source impedance of a class-C amp? The source resistance appearing at the output of either a Class B or C amplifier is R = E/I, where E is the peak voltage at the output terminals and I is the peak current at the output. Or RMS values can also be used. Since E/I is simply a ratio, R is also a ratio. And we know that a ratio cannot dissipate power, or turn electrical energy into heat, thus the output resistance R is non-dissipative. I have made many measurements that prove this. It is also the reason why reflected power does not dissipate in the tubes, because it never reaches the tubes. The reflected power simply causes a mismatch to the source, causing the source to deliver less power than it would if there were no mismatch. The input at the pi-network in the xmtr is non-linear, but the fly-wheel effect of the network tank isolates the input from the output, resulting in a linear condition appearing at the output. Except for a very slight deviation from a sine wave due to a small amount of harmonic content, the voltage E and current I at the output are essentially a sine wave, which one can easily prove with a good oscilloscope, proving the output to be linear. I'm speaking for tube rigs with pi-network tanks, not for solid-state rigs. I nearly forgot. The only dissipation in the amp tube(s) is due to the filament-to-plate current as the electrons bombard the plate. The efficiency is determined by the ratio of the DC input power to the RF output power. The maximum power is delivered when the load resistance equals the output resistance R of the source. But since resistance R is non-dissipative it is not a factor in determining efficiency. The only factors in determining efficiency are the RF output power and the dissipation in the tube caused by the electrons striking the plate. The non-dissipative output resistance is the reason Class B and C amps can have an efficiency greater than 50 percent. If the output resistance were dissipative it would be the determining factor in efficiency, which could never be greater than 50 percent if the load resistance was equal to the the output resistance. A report of my measurements will soon be available in Reflections 3, from measurements taken since those reported in Chapter 19 of Reflections 2. Cecil, if I send you a copy of the new chapter that has the report of my newer measurements do you have any way to make it available to the guys on this thread? Walt, W2DU |
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