major said:
halcyon_m said:
... For example, if the number of turns of the prius motor were changed to allow the same top speed without the use of field weakening, the peak torque would be reduced by the same amount as the reduction in turns. In this case it would be 4x, so you would have 25% of the peak torque shown, so 50N-m, but it would be available at top speed. ....
Isn't this an unfair example? If you were to reduce the turns in the motor to 25%; 1) you could reduce the size of the motor, or 2) you could increase the turn size (conductor cross sectional area) by a factor of 4. This second option gives the capability of running higher motor current and thereby producing higher torque, by a factor of 4.
In fact I think this is the argument from Mr. LiveForPhysics. Reducing the turns, increasing the conductor size and increasing the motor current for the same motor volume then gets you that same (original 200Nm) torque over the entire speed range (12,000RPM) without the field weakening. Yes, I know this requires a bitch of a controller.
I believe it's a fair comparison. I was assuming that the wire size would be increased, though I didn't state it explicitly. That's typically what is done though to make use of the area available for copper no matter how many turns are used. In the example I presented, if you did use 1/4 the number of turns, I don't see how you could reduce the size of the motor. You still need the magnetic area (same stack length, same machine dimensions) to get the same power out of the motor. If you can spot something I've got wrong, let me know, but if you changed any dimension of the magnetic elements of the motor, then that would also change the torque and/or power rating.
Also, let's dig into the example you mentioned. For example, let's say that to get 200Nm, you need 1,000Amp-turns, and that the machine in the prius normally had 4 turns. If we reduce the number of turns to 1-turn, and increased the copper cross-sectional area of the wire 4x to fill up the usable area, then you would need 1000A to produce rated torque versus 250A in its stock form. It would be the
same amount of torque, with the same amount of electrons passing through the slots in the stator, but it would be at a 4x lower voltage. To get any more torque by using more current, the windings would heat up more than in the sock case making it not a fair comparison.
If you wanted to preserve the top speed of the motor to 12000RPM, the controller would have to provide the same 650V, which would increase the power rating of the controller by a factor of 4 (650V, 1000A) as well, which is likely the largest drawback to going this route. That is to say, the physical size and cost of the converter to support this configuration.
On the positive side, if you had the battery power to support higher power levels than the stock values, then torque values in the upper right hand area would be available as well, but if not, then the converter would have to be controlled to limit power at to higher speeds so as to not over-draw power from the battery pack and possibly blow fuses.
I'm not trying to say any one perspective is wrong, but it's a matter of trade-offs in a lot of different areas and ultimately comes down to the specific goals and perceived risks are.
major said:
Don't get me wrong, I am not against field weakening. But, as implied in the term weaken, you no longer have maximum utilization of that field (which amounts to motor space). This is basically why true maximum power is not obtainable in the weakened field state, IMO.
You point out something that is very true, that the maximum field is no longer available, which, you could say is wasting iron as it doesn't utilize the flux carrying capabilities nearly as much. The trade-off for this is allowing higher speed operation, where the drop-off in torque is met with an nearly increase in speed, which keeps the power nearly constant over a large speed range. Whether the power over a given speed range is exactly the same or falls off is in large part due to the pairing of the current rating of the inverter and the characteristic current of the motor. If they are mismatched at all, then the power is not constant above the base speed (corner speed, 3000rpm in this case).
So this brings up a good point here: Motors are designed magnetically to provide a given amount of torque, but they are powerful when they can spin quickly. Speed constraints come in various forms, but mostly mechanical concerns of it flying apart, so there's a practical limit to power of the motor. The other two limitations to power mentioned here are the source (battery, usually) and the controller. All of these things cost money, and weigh more, as you get to higher power levels and I see that as a major reason why flux weakening is popular versus simply changing the turns to a low enough value so you never run out of voltage... but that doesn't mean it's not a viable option.