I have a submersible system. We have replaced the pump(115 submersible pump), pressure tank(20 gallon), and switch (30-50 psi) in the last year. We have replaced the switch several times. It seems to work for a while and then it starts shutting off again. The water will pulsate and then just shut off. If you wait anywhere from a few minutes to a few hours it will kick back on. The tank is full.

I assume that the tank is a bladder tank. Was it properly set up? With the tank empty of water it should be pressurized to 28 lbs. Have you checked to insure that the piping to the pressure switch is not blocked with rust and debris?

When you replaced the pump, did you check to see how far down it was to water? It might be that your pump is either running dry or cavitating. That will heat the pump up and trip the thermal protection switch. It will stay off for some period until the switch resets.