It is clear from the wiring diagram that there is no neutral connection. The other voltages, (24, 36 and 110) are derived from windings on the secondary of the main transformer. This is the proper way to get 110 V as it won't unbalance one leg of the 220V center tapped wiring that is used in...
If your machine needs a neutral wire, there should be a terminal for the connection. The metal chassis would always be grounded. My welder doesn't use the neutral and the only reason would be if it used 110V off of one leg of the 220 to run some internal device.
Although they are...