Or you could fly an engine that's past the 50s technologically that has, say, a torque limiter.I would say the answer is "never" on a direct drive engine. You will not increase power by reducing "engine" RPM.
Might be possible on a PT6 turbine engine or a free shaft turbine (if you are temp limited) as the prop angle will not slow down turbine speed. So you may get a better prop efficiency without reducing Ng or fuel flow. But if you are Torque limited, you will need to reduce power (fuel flow) to keep torque within limits and reduce overall power output.
I would go farther than "could be," and say absolutely. That combination of RPM/SHP resulting in maximum available THP is going to coincide with the setting for max takeoff power. Why would a designer let you, the pilot, push the engine any harder when all it will do is result in less thrust (while burning more fuel)?I understand a decreasing RPM will drop shaft horsepower. But if a bigger bite might mean a more efficient AoA then couldn't that increase the thrust horsepower if the increase in efficiency more than offsets a weaker engine output; a bigger push forward?
Is it always, never, or sometimes true that, from full power and max RPM, if one were to pull back the RPM lever, you could go over max rated power?
Side note- been away from the forums for a while and looking forward to diving back in, thanks in advance for the replies!