If your oil pressure switch doesn't solve the issue, go ahead and replace the fuel cutoff solenoid.
I have a 2014 T353 that had the same issue, which started intermittently when it only had 20hrs on it and got a lot worse over the next 40 hrs. Two different dealers couldn't figure it out because they would never run it long enough to get it to working temp where the failure would occur. I raised **** directly with Tym warranty when the dealers were wasting my time and gas, talked to their service manager who sent me a new solenoid to install. It's been stall free for a couple years now.
It turns out from the schematic that the solenoid used this engine has two coils, one electromagetizes to draw the solenoid plunger back to start, and the second coil then electromagnetizes to keep it back (and engine running) when the other cuts off after a few seconds of running. It was this second one that went bad on mine, so initially the solenoid would clack and kill the engine after about 2-3 hrs of work, but got worse and more frequent over time and several trips to the dealers for diagnosis. After the initial stall which was usually 2-3 hrs in, it would restart right back up again each time only to cut back off after the few seconds when the solenoid switched from the start coil to the run coil. It would do this then endlessly until you let it sit for 30 min to cool down.
If yours is in warranty have the dealer replace it, if not I've seen them online for $75. Hope this helps and hope you have good luck solving the issue
Thanks! This is interesting because the dealer also suggested that the solenoid itself might be the problem.
So far, I replaced the oil pressure sw (dealer's first guess). I gave it a fresh oil change, filter and fuel filter cartridge. Then I started it up and worked it for about 20 minutes or so with the box scraper. Heard the *clack* and it shut down. Started right back up. I let it idle for a few moments, brought the revs up and hit the forward pedal and it shut down. Did the same procedure with the reverse pedal and it shut down. So now I'm suspecting something with the HST.
It is just about due for a tranny oil and filter change, but it isn't overdue. I know there is a switch somewhere on the HST but I don't know where it is.
I have a message in to the dealer's service department. I may try the solenoid on suspicion anyhow. I know that for the last couple of winters, it would shut down on me after 2-3 hours of snow removal. I could restart it and it might shut down again a minute later, but eventually, it would start and I could continue working until I was done - sometimes another hour or so. That was what made me think it was a problem with the seat switch going flaky.
But those initial symptoms I had sound identical to yours, so it could be that solenoid. Maybe my experience yesterday with the HST pedals was coincidence, or something else?
Thanks again. I'm so grateful for all the help on this forum!