Thank you
@Ken I and
@Wizard69. The extension cord story is ... frightening, to be honest.
The sum of the last few days is that I moved the lathe from the west outlets, which have a GFCI, over to the east group which doesn't. The lathe is completely usable again. The manual doesn't call out having a GFCI, just a grounded outlet, which it has.
The lathe is just the latest episode of problems I've been having with the west branch throwing a ground fault and popping the interrupter. The random GFCI popping goes back not quite as long as the life of the addition but almost as long. I can't tell you how many times I've changed something and we've gone weeks without the thing popping and suddenly it does it again. The reason I had replaced the GFCI when I stumbled across this problem was to try to fix random popping.
Yesterday my wife was out there getting something and the GFCI popped while she was in the room. There was nothing turned on or running at the time. That's how it usually is when the GFCI pops. Ordinarily, I go out first thing in morning and find it. Sometimes it's not overnight, it just pops when no one is out there. With the exception of last week, when I found I could make one pop deliberately, I think I've only seen it go twice since May of 2014 (when the addition was finished). It has shut off my CNC equipment during a job exactly once. Conveniently, I had just zeroed everything, so it didn't mess up any work.
I've never bothered to write down all the things we've tried, but yesterday I had unplugged all but two things: a switched outlet with no surge protection in it (my CNC computer and big control box are switched by that) and a surge protected strip that has several low-current loads in it (my three Sherline DC motors, two CNC controller boxes, some lights, and an exercise bike). All of that was off yesterday when it popped.
A few years ago, when I found my house ground rod had corroded open and I put in a new one, I thought we were over the troubles. Since then, I've done other tricks that seemed to make the problems go away; replacing the surge protected AC strips with unprotected ones, swapping the east side GFCI with the west side's one, other things I forget.
So far the only thing I haven't tried is to unplug everything in the room when I'm not using it. It would be a bit inconvenient to have to plug everything in every time I use it, but it might restore some of my vanishing sanity. If it works.
I suppose this is probably far enough topic off now to not belong here, since it's about my five year old problem and not the lathe, but suggestions are appreciated.
Bob