Western Power has said that 2,500 customers in the South West and 500 in Wales are currently without power, after high winds brought down power lines.
Some 1,000 properties in Gloucestershire were without power earlier today, the energy distributor said, but added that it was working to reconnect them as soon as possible.
More heavy rain and strong gusts will sweep across Britain this weekend, with further floods expected in the UK.
ITV News viewers have been emailing photographs of flooding in their area over the last few days.
Torrential rain expected in South West England, South Wales and South West Scotland.