What size GFI are you using for a TIG welder, is there a reason you hooked it into a GFI in the first place?
Every time you connect the work or the the 14g wire to ground, you are defeating the GFI.
unless you have 100% isolation between the supply and the output, you are causing it to trip, If you used a GFI because of a lack of adequate service ground, you could set up a ground rod, but I would use the service ground direct with a fused disconnect or a normal breaker.
Your unit should be wired with 2 wire and ground if 1phase.
Al.
CNC, Mechatronics Integration and Custom Machine Design
“Logic will get you from A to B. Imagination will take you everywhere.”
Albert E.