Support Phone Turns Off

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http://androidforums.com – This has only happened twice (so far) but it's still inconvenient. My phone has turned off at some point during the night (no, the battery didn't die). When I wake up the LED light is blinking green. It happened once when I'd plugged it in to charge, and again last night when it wasn't charging. Has anyone had this issue before? Is there a fix? (General)