I had the same issue with my FT, and it was related to the WPC reset issue. I also had random resets during gameplay at certain times. I found installing a daughter board solved all of these issues including the start/shut down cycle you have described here.
This is what helped me:
Background
http://creditdotpinball.com/2014/04/25/tech-wpc-resets-the-bane-of-our-existance/
The fix:
http://creditdotpinball.com/2014/04/26/tech-wpc-resets-and-the-wpc-mpu-daughterboard/
Good luck,
FT is a great game, and continually kicks my arse!