Well, I'm learning too... so here's some feedback from the first testing I did with the Triple wind motor while on the bike.
First of all the motor is powerful... the reduced resistance comes about for the same reason that a series set of resistors has more resistance than a parallel set of resistors... every time you do one of those "interconnects" in the middle of the coil it is like making it more parallel.
If the wire thickness is held constant then all that matters is the turn count to determine the no load speed. Changing the number of winds just changes the resistance and does not effect the no load speed. Life is simple.
However, the thing I just learned is that thickness of the wire matters a lot more than I thought. Let me explain...
My first Triple rewind was with a motor that had 22 AWG to begin with. All I did was change the winding pattern from a Double (Stock) to a Triple and the big reduction in resistance allowed for more power.
So far so good...
The next step was to rewind the 500 watt motor that (as it turns out) actually seems to have been wound with thicker 20 AWG wire. When you go from 20 AWG to 22 AWG the cross sectional area drops by a factor 1.59 and if you square that number you get 2.53 which is the exact amount that the no load speed increased above my anticipated values.
Moral: When you change wire thickness it changes the no load speed and this is a separate calculation to the other things you need to keep track of.
So the factors are:
Wire Thickness
Number of Turns
Number of Winds
...all three interact with each other and form the resistance and inductance behavior of the motor.
The "bottom line" is that it's easier to keep the Wire Thickness constant and then just change the winding pattern from Single, Double or Triple... it's a lot easier that way... the mind can more easily understand what is going on because it's just like dealing with simple resistors moving them from a series connection to a parallel one.
My best advice for this MY1020 500 watt motor rewind would be:
20 AWG
Double Wind (9x2=18 same as Stock turns means same no load speed)
...this in
NOT what I just did, but that's what being the "guinea pig" means, someone has to actually be the pioneer and try this stuff first.
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It actually turns out to be a bit of good luck because the bike I want to use this on is geared so that at 24 volts this Triple will work perfectly. So while I missed my original target I have learned some things and the motor is not a total loss.
It's the other rewind I did... the MY1016Z3 that I'm more worried about because the no load speed would recalculate to 8000 rpm and that's getting a little high. I might have to redo that one...