Welcome to the Community and thank you for taking the time to write a post to us
Power cuts are never great, I don't have to remember far back when I had a power cut also!
I've been looking into the services in the home and the TiVo seems to be running well however if the box is turning itself off then this would need to have an engineer check the hardware. I did notice that any Internet services you may have in the home could have an issue. With this also happening I'd like to arrange a visit so we can take a look at both services and bring things back to normal.
I've sent you a 'Private Message', you can find this by clicking on the little purple envelope near the top right of the page.