Now I'm confused! I'll credit it to being tired - I'm over 20 hours up right now. I have a faint impression it is inrush current caused by induction, but I'll have to sleep on this. For the moment I've stricken the assertion, and I'm going to bed.
I don't understand. It's an over-simplication, I know, but can't I think of the windings as resistors? If the voltage is halved, won't the current be halved, not doubled?
Bottom line, no - you cannot think of the motor windings like resistors.
But this is complicated stuff and my head is grappling with what happens too. I'll give it a shot but reserve the right to strike my comments too! LOL!
Just for discussion purposes, let's assume we are talking about a 2:1 voltage difference. Say a 480V motor running on 240.
A higher voltage motor run on lower voltage will try to run at whatever speed is dictated by the frequency. But the load on the motor (friction, gear train loads, etc) does not change for a given rpm. So forgetting about other losses (just for a moment), the slip will increase (slip is the primary determinant of current) and the current will double for a given load. Simply stated I=P/V so if V goes down, I has to go up for a given load.
This can only go so far before one of two things happen. The motor stalls with saturated coils, or something starts to melt.
High load currents are almost always in the same ballpark for a given hp motor. But NOT the low load currents. The low load currents are dictated by the motor design and a plethora of other factors.
In my "opinion" the motor will likely be fine at low loads and
double the normal low load current.
However, it's condition at high loads is a whole nuther kettle of fish. I believe that slip and current will continue to be roughly double the full voltage current as the load is increased. At some point, as load is increased the motor will stall and glow, or stall and melt. Neither one is a good outcome.
Strictly speaking, I think this should all work fine in applications where startup loads and running loads are minimal (lathes have high startup loads) and where the motor mostly spins running well below its rated hp - say a mill spinning a tiny endmill. But it is a bad idea where the loads are high like a lathe starting up or a big hogging cut on a mill.
Last, but not least, consider that we always try to put a motor on a machine that is capable of doing the required work. So even if the motor doesn't melt, it will stall when used at the rated load so it's still a bad idea.
My summary - it's a bad idea. Don't do it.
Edit - I'm pretty comfy with that reading it over. But my bride and I are off on a road trip today, so I won't be able to come back and edit it till later tonight. Have fun guys!