Scottish and Southern Electricity Networks (SSEN) says it has restored power to 46,000 customers after disruption caused by Storm Gerrit.
By 8.45pm on Thursday, around 1,500 properties were expected to still be without power until Friday, as predicted by SSEN.
There were 242 properties without electricity in Argyll and the West Highlands, 292 in the Highlands, 812 in the north east, four in Shetland, and 338 in Tayside and Central.
SSEN said the extent of the storm damage, mostly due to flooding and access issues, means some customers will remain off supply until Friday.
The affected customers are mostly in the north east and west of Loch Ness, Aberchalder and Invergarry areas.
Teams are working into the early hours of Friday to clear debris which is hindering repairs, and SSEN staff are contacting customers to provide updated estimates for power restoration and welfare checks.
As part of SSEN’s support package, customers who will be without power for more than 12 hours are entitled to £30 per person for every day without power, to cover the cost of food and drink.
Customers on SSEN’s Priority Service Register (PSR) can claim reasonable costs for alternative accommodation if they expect to be without power for more than 24 hours.
Those not on the PSR who expect to be without power for longer than 48 hours can also benefit from this.
Andy Smith, operations director at SSEN Distribution, said: “As stormy conditions have subsided, we’ve been able to get thousands of customers safely reconnected.
“This has been a difficult couple of days for the communities affected, and I’m grateful to them for their patience and support as our teams work extremely hard to restore power.
“We’ve targeted our restoration plan on repairing the faults that will reconnect the greatest number of customers, and those who have been without power the longest.
“Where there are complex repairs or very localised faults, we expect around 1,500 homes will be without power overnight. I’d like to reassure our customers that all our resources have been made available for this final push.
“Our established welfare policy is active, offering reimbursement for meals and accommodation, for those who’re eligible, and we’re speaking to our most vulnerable customers to offer them tailored support.
“Anyone who may need additional help or advice should contact our dedicated teams on the power cut helpline, 105.”
A further update will be provided on Friday morning.
SSEN said its workers have faced wind speeds of 80mph in some coastal areas as they worked to reconnect customers.
The conditions also disrupted travel, with some drivers trapped for hours on the A9 which was closed at Drumotcher in the Highlands due to snow.
The road has since reopened, including a section further north at Scrabster which had been blocked by fallen trees.
The A82 between Spean Bridge and Invergarry has also reopened, but the road between Invergarry and Invermoriston remains closed, also due to fallen trees.
The A96 at Huntly, Aberdeenshire, is also closed.
Some rail routes have reopened after safety checks, but others will remain closed.
The Inverness-Aberdeen, Helensburgh-Balloch and Dumbarton-Damuir routes have fully reopened.
Cupar-Dundee and Kilmarnock-Dumfries services remain out of action.
Stein Connelly, head of transport resilience at Transport Scotland, urged people to plan ahead when travelling.
He said: “It’s been an extremely challenging period for the transport network. The partnership response to Storm Gerrit continues and our trunk road operating companies are working hard to open roads as soon as possible.
“On the A96 at Huntly, the road remains closed in both directions due to flooding, with teams continuing to work to clear the water this morning.
“The weather has improved and the Met Office warnings have ended, but people may still encounter difficult driving conditions due to surface water and flooding.
“We continue to ask people to plan ahead, to drive appropriately and to take care out on the road network.”
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