My washer shuts down during wash.

Sometimes when a reasonably heavy load is in the washer it will shutdown during the wash portion of the normal wash cycle. It goes like this:

1) load clothes and set washer to normal, cold water and high spin settings.
2) push start
3) washer starts to fill
4) when done filling it starts to do the agitation spin
5) something trips at this point and the washer starts an orderly shutdown
6) the washer stops spinning almost the instant the agitation spin starts
7) it completely drains
8) the door unlocks
9) the washer shuts completely off. No lights are on at all.

It does a similar thing during the self clean cycle. After it fills up to the bottom of the door window with water, it will start a higher than slow speed agitation spin and instantly shutdown in the exact

Anyone have any ideas?