STORM ARWEN LATEST: Some still reporting power cuts and Halifax's Piece Hall back open but no makers markets this weekend
People living in parts of Mixenden and Illingworth, Norton Tower, Ripponden, Hebden Bridge and Todmorden have been reporting that they have been left without power on social media.
Queensbury is also thought to have been impacted.
Northern Powergrid has said that the storm has had a "significant impact" on its network and its teams are working to restore power remotely as quickly as possible.
It said the weather conditions had made it impossible to safely carry out repairs overnight.
Calderdale Council has said on social media that it has been told power should be restored to homes by 6pm.
"The latest message from Norther Powergrid is, weather permitting, power should be back on by 6pm, however please plan for the worst case scenario, vulnerable people should contact friends and family," it said.
Hebden Bridge Councillor Josh Fenton-Glyn has posted that people would be able to visit Hebden Bridge Town Hall if they needed to keep warm or charge their phones.
Calderdale Council says its gritters and snow tractors are out to clear the roads affected by the snow but is urging people to only travel if necessary.
Both today's and tomorrow's Winter Makers Markets at The Piece Hall in Halifax have been cancelled for safety reasons.
The Piece Hall team told the Courier earlier today that the storm had damaged some of the tents being used by traders.
The Piece Hall was temporarily shut this morning because of the severe weather but re-opened at 1.30pm today. The carousel will be closed for the rest of the day but should be open tomorrow when the venue will still host musical entertainment through the day.
And the gates to Shibden Park off the A58 have been shut because of a fallen tree.
The Met Office has a Yellow warning for wind in place for Calderdale until 6pm today (Saturday) and another for ice in place from 5pm today until 11am tomorrow, with temperatures expected to drop to as low as -3C tonight.
Roads have also been hit, with the M62 temporarily shut earlier this morning westbound from junction 24 for A629 to junction 23 for A640 New Hey Road.
The A58 Halifax Road was also very slow in both directions from the B6225 Canal Street junction in Littleborough to the B6113 Elland Road junction in Ripponden, because of snow.