Norm, I haven't got the impression you are heavily into electronics repair. These things are complicated and twitchy and fixing them is something of a specialism. I have fixed a couple of MMA inverters, but an AC/DC TIG welder is a different level of complexity. They are potentially lethal, with about 1,500µF of capacitors charged to about 330V, which could remain for a long time under fault conditions. As I said, the makers usually recommend board swaps, that is when the idea of fixing them, rather than chucking them, has occurred at all.
I don't like to be a wet blanket, but I suggest you don't mess with this. Sell it on ebay for spares or repairs (they fetch a surprising amount) or get a specialist welding gear repairer to fix it - the cost may be eye watering.