> convert from PP to A1 single tube
Convert from Class A PP to A1 single tube....
The further you go into AB, the less you can direct-translate from pair to single.
There's an additional fudge factor. In SE, distortion gets high before the tube is slammed. In push-pull, much of this distortion is cancelled, distortion may stay low all the way to clipping. That doesn't affect load-line slope (load impedance) very much, but does mean two tubes in PP will usually claim more than double the output watts of one tube SE. (6V6: 5.7W SE, 14W PP)
> pentodes or beam power tubes, you will never find a simple formula for maximum power output, the way you can find one for triodes
Disagree.
There's at least four cases for triodes. Several are "open-ended". For maximum power for a given dissipation, no limit on supply voltage, you raise the voltage and impedance and keep getting improved distortion, efficiency, and output. The gotcha is that improvement is slow, high-Z transformers are problematic, and high-voltage plate-stuff is costly. Knowing this, the tube designer specced a plate-voltage limit which "seems reasonable".
For hard-knee SE pentodes, with Vg2 near plate supply, you pick a load at-least twice the tube's triode plate resistance. We also like under-10K for best transformer construction. Then you select voltage and current so the ratio is the load impedance and they multiply to the dissipation.
For 5686: triode Rp at high output is 3.2K. Select SE load greater than 6.4K.
Max Pdiss is 7.5W.
Assume various available supply voltages:
150V: to get 7.5W Pdiss we need 50mA. Ratio 150V/50mA is 3K. Load is too low. (Pentode won't swing the 100mA peak with this G2.)
500V: to get 7.5W Pdiss we need 15mA. Ratio 500V/15mA is 33K. This is not a happy winding: wire too thin, capacitance sucks. Combined with plate-stuff costs, the designer felt you didn't want to go here.
300V: to get 7.5W Pdiss we need 25mA. Ratio 300V/25mA is 12K. This would be a fine load except it exceeds the 250V rating. In this case, a "dependable" tube at warehouse prices in a nobody-dies application, 300V may be worth trying.
250V: to get 7.5W Pdiss we need 30mA. Ratio 250V/30mA is 8.3K. This is a fine load, no ratings exceeded. Two ratings (Vp and Pdiss) are "hit", which is bad for "reliable", but acceptable for many other uses.
This is near the datasheet 250V 27mA 9K load condition. 250V/27mA= 9.3K ballpark load.
(The datasheet 250V 27mA 9K load condition takes 100% rated Vp but derates Pdiss and output power to about 83%. In an airplane, it is better to have 83% output all the time than 100% output 83% of the time. {The tradeoff is not that exact.})
The same will apply for push-pull. Yes, the total winding goes up to 16K (not 4K!) which is awkward.