I’m curious what you used to develop your estimate of the maximum power that the model 3 motors can take
Take the power of each motor, and presume Tesla has an added pad for safety. Keeping in mind also that the Model 3 motors were used in the Semi, we know that the Semi is capable of just under 2kW output, and that the Semi had 4 motors. So that would indicate something just below 500kW per motor, which is right around 25% higher than the number I gave.
With radically different designs, I don’t see why the limits on the two motors would be the same.
They won't be the same. We know they aren't the same.
You also left one of the important limiting components out. Tesla is using a couple of variations of AC motor on the car.
For the sake of simplicity, I didn't get into the details. There was no need to do so, given the question and my answer.
They have to be fed synthesized 3 phase AC waveforms, which are generated by rather expensive and complicated blocks of high power transistors - the drive inverters.
Yeah, I mean, the SIC IGBTs used in the inverters can likely handle more power than the coils in the motors. And really, the bus bars before the inverter, the cable from the penthouse to the motors, and the fuse will blow before those components. These cars aren't designed by nobodies, the engineers understood the requirement of protection at every level. Again, describing how high frequency switching works isn't necessary to answer the original question.
The current limits on those transistors are another limit on vehicle power and torque output. It’s not obvious whether the motor or inverter limit hits first, and aside from component bench testing or getting full detailed specifications I don’t know how you can figure that out.
We don't need to bench test, we can make general assumptions given similar components on the market. You can select IGBTs that are similar to what Tesla selected, you can look physically at the fuses they've selected, and you can use extremely well known calculations based on winding count in a motor.
...or you can add a margin on top of the performance numbers we already know, assuming Tesla aren't fools, and use that as a general answer. Which gave me ~400kW, when we know Tesla is planning on just below 500kW in the Semi.