Wow...It's been a while since I've talked about the HX-D7 unit. Funny you should mention your scenario, the same as what happened to mine. Since it happened, I have tinkered around with it, got it to work for about a week more, and then it went back to it's old ways and shut down due to a "protection" mode.
I have completely scrapped the unit and it is in hundreds of pieces scattered about my shop, and in two days I am having a yardsale in which the two speakers will be for sale. :)
I gave up on it and stuck to listening to music through the computer. I loved the unit; it put out great sound and actually had an appeasing look to it compared to most other units on the market.
Sorry I couldn't be of much help to you. Good luck though, and if you do figure out the problem, please, let me know.
Oh, one thing I do remember. If you take your unit apart, the top board, I think, has a blown capacitor. Well, mine did. I looked on forums, and most linked the protect mode to that capacitor. I swapped it out and that's when it worked for about another week, but it went back down, and the capacitor looked fine. So I don't know if it was a coincidence, or it had a direct link to the problem. My guess is that it did, however I can't say for sure whether or not it did.