30,000 homes remain without power
Engineers are working to reconnect around 30,000 households still without power after Thursday's storm.
Winds speeds up of up 165mph were recorded throughout the day, bringing down trees and power lines, causing disruption to roads and closing schools across the country.
Scottish Hydro said that 29,000 were still cut off, down from more than 100,000 at its peak.
The worst-hit areas are Argyll and Tayside, with parts of the Highlands, the north east, Orkney and Shetland also affected.
The power supplier said the "vast majority" of customers would have their electricity supply restored later on Friday night, but it added that some customers in outlying areas could still be without electricity on Saturday.
ScottishPower said on Friday afternoon that it had 1,200 customers "off grid", but that it was hopeful they would all be back on later on Thursday night. Its worst affected areas are in Ayrshire, Fife and Central Scotland.
A spokesman said: "ScottishPower expects all customers affected by yesterday's storm to be reconnected today. However, should there be any small pockets of customers that remain without power late into this evening, the company will make all efforts to contact householders and offer them alternative accommodation."
More than 1,000 engineers have been working across the country to get power back to both companies' customers.
Following a meeting of the Scottish Government Resilience Committee, Deputy First Minister Nicola Sturgeon said: "Contractors are working hard to resolve remaining issues with power supplies and on our transport network in difficult conditions. They report that they expect that the vast majority of homes will have power back over the course of today."
However while the winds have eased off, the Met Office has issued warnings for snow, blizzards and ice across Orkney, Shetland, the Highlands and Grampian. Severe weather in Orkney has caused widespread damage and flooding. The B9047 South Walls road on Hoy island is closed at the causeway.