Rural communities are facing a prolonged blackout after high winds and heavy snow brought down power lines and cut off supply routes.
The isle of Arran and parts of the south-west mainland of Scotland were particularly badly hit.
Power companies are working with councils to send generators to affected areas while engineers try to clear routes and restore energy.
A spokesman for Scottish Hydro said engineers are working to get people back on the grid on Saturday, but that access is not possible to all parts of Arran.
"Mobile generators are on the island and more are en route but access is proving difficult," he said. "We're trying everything we can to get people back on today but we can't give an indication of when everyone will have their power restored."