Using The Online Calculator
http://hyperphysics.phy-astr.gsu.edu/HBASE/magnetic/solenoid.html#c1
Let's try to use numbers that would make sense for an AC Induction motor which is designed for 120 VAC but will run at 48 VAC. Let's assume:
120 turns of wire (to match the 120 volts)
1 amp of current
0.0120 length of the solenoid
Result: 2.51 Tesla
48 turns of wire (to match the 48 volts)
1 amp of current
0.0048 length of the solenoid
Result: 2.51 Tesla
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Notice that in the first case I'm filling the entire groove (0.0120) with one set of coils. In the second case I'm filling just part of the groove (0.0048) with one set of coils. In order to fill the entire groove the smaller turn count (11) needs to be almost tripled. (120/48 =
2.5) This is analogous to the
multiple winds approach and will in the end mean you need to use 2.5 amps to achieve the same result overall.
Assuming that you filled the entire groove (0.0120) then you would need:
48 turns of wire (to match the 48 volts)
2.5 amps of current
0.0120 length of the solenoid
Result: 2.51 Tesla
...so one can use
thicker wire and lower turns or use more parallel winds with the same wire thickness. This is all the same stuff as with previous rewinding that I've done. What is different is that there is no difference in the motor's no load speed.
Inductance is the wild card in all of this... in electric motors the higher the inductance the longer the magnetic field tends to maintain itself. (it acts like a sort of dampened spring that holds onto it's magnetic state) Given the way that low rpm tends to draw a lot of current anyway it's possible that rewinding the motor with lowered inductance will mean more worries about runaway conditions.
My "hunch" is that higher voltage and higher inductance produce more efficient motors because the magnetic fields are more stable. (higher inductance smooths out the magnetic field and reduces eddy currents) In order to compensate for this the use of Six Phase rather than Three (or Single) Phase power would
do the same thing as increasing inductance. This "might" be a case where the combination of using a lowered inductance rewind with a smoother running Six Phase power could negate any losses.
Much to ponder I suppose...