Great stuff rmw, I am not familiar with the two coil type of retarder. Who makes these or where should I begin looking for further information ?
I have been giving some serious thought to this rather odd shaped torque characteristic and have a hypothesis, only a guess really, but it may possibly explain the odd torque/speed curve.
The coils are energised with direct current, and so the magnetic MMF created will be constant. Any change of characteristic with speed must therefore occur within the rotors themselves.
At zero speed there will obviously be zero torque holding capacity, there must be some relative motion to induce eddy currents in the rotors. These currents will generate their own magnetic field that opposes (repels) the field generated by the field windings. This repulsion is what makes it harder to turn, and the resulting eddy currents produce heat in the rotors.
With an increase of speed above zero, the torque required to turn the retarder will rise rapidly to a peak, typically at about 800 Rpm, at least for the retarders I am most familiar with. Then something happens at higher speeds to prevent this torque rise from building further at ever higher Rpm.
In transformers, motors and generators, where there is a very fast change in current (Amps/second) there is a phenomena called skin effect. The current flowing creates its own varying magnetic field which forces the current to flow in the outer skin of the conductor. This is highly frequency dependant and has the effect of raising the electrical resistance of the conductor.
or Google "high frequency skin effect" for more info.
What I think might be happening is that the circulating eddy currents in the rotors may be forced to the surface of the discs as the Rpm increases. This would effectively increase the electrical resistance of the rotors, and reduce the braking effect as speed increases. Only a theory, but I cannot see any other mechanism that would account for this torque fall off at high Rpm.
The skin effect is a real frequency related dimension, and the way to overcome it is to use relatively thin conductors suitable for the operating frequency. In an electrical generator or alternator the current flows in wires that are relatively thin with many turns, so skin effect is not going to be a problem except at extremely high frequencies or Rpm. So shorting out a generator or alternator would indeed create an ever increasing load with increasing speed, probably up to the point where the windings burned out.
But an eddy current retarder has two very massively thick discs, and if the current only flows across the surface to a small depth of (say) a few mm, that would definitely increase the effective series electrical resistance significantly as speed increased.
These seemingly simple eddy current retarders are far from simple !!