Sumair An overheating issue on one side of the field pole assembly means one of three things.
1) Winding fault on that portion of the field winding (likely turn-to-turn fault, although could be turn-to-ground). Local area around the fault will get extremely hot, but the coil (as a whole) will not.
2) Poor heat conduction and/or convection on the "hot" side. Most likely culprit is having the pole too close to the adjacent one so either the pressure drop through the gap is too large, or the coils of adjacent poles (in this case, main pole and interpole) are touching. Alternative culprit is having a blockage at (or near) the end where cooling air should be entering the space between windings. This second "blockage: could be a misplaced baffle.
3) The main field winding is in direct contact with the interpole winding (see #2 above). The heat is not coming from the main coil, but rather from the interpole coil which carries a LOT more current (and can exhibit a subsequently higher surface temperature).
As BVSM22 noted, a field supply which is CURRENT REGULATED will hold a current setpoint and allow the applied voltage to vary. As the coil(s) heat up, the resistance increases - which in turn requires more voltage to push the same current through the circuit.
Last thing - it looks like the sling is looped through the end of a winding (either interpole or poleface). In either case, this is a pretty sure bet there will be some sort of damage to one or more windings in the machine - these are not meant to be "lifting points".
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