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Kent is the worst hit county in the east of England for power outages, with 22,600 homes currently without electricity.
Cabling suffered significant damage yesterday as Storm Eunice tore through the region.
The gale-force winds caused a month's worth of faults in a matter of hours.
UK Power Networks says its equipment has been damaged in more than 1,800 locations.
Bosses say the repair work will be a "multi-day event", meaning some could be without power going into the new week.
A statement from the firm reads: "We have managed to restore more than 90% of those affected by remote control so far.
"Now winds have subsided, engineers are working to locate, assess and begin repairing damage to restore supplies as quickly as possible.
"Our helicopter patrols are scanning power lines for damage sites. We will be prioritising damage affecting the largest groups of customers first.
"We are working hard to restore all supplies as quickly as possible, although this is a multi-day event."
You can find specific details for your postcode on this live map.
So far, 563,000 properties in the east have had power restored since yesterday.
While Kent has 22,600 homes without electricity, Essex has 12,900 and East Sussex has 9,700.
The numbers have been updated from this morning which originally read as Kent having 26,700 powerless, Essex with 14,200 and East Sussex with 11,200
Today, there is a yellow weather warning for wind. Gusts are expected to reach 50mph in parts of the county.