This is a problem in one of the damper-related components, most likely the switch, but it may also be the motor or the damper door.
The damper is a door inside (on the right side in your model) that opens or closes depending on cooking mode. If the controller thinks that the door is not in the right position, it will shut down the cook cycle in 59 seconds.
See the attached sample photo.
If you or someone you know wants to look into this, we have *critical* safety, disassembly, and troubleshooting info at our site, and our link is at our listing here on FixYa:
http://tinyurl.com/yzjozkWe have a partial service manual at our site
here.
You can usually find a Sharp exploded view by entering your FULL model number here:
http://www.searspartsdirect.comYou can order Sharp parts there or from Tritronics at
http://www.wehaveparts.com.
We're happy to help and we appreciate your thoughtful rating of our answer.
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