Just under 40,000 homes and businesses are still waiting to have their electricity supply restored.
Storm Ellen hit the country on Wednesday night, with gusts of up to 143 kilometres per hour recorded at Roches Point in Cork.
The worst affected counties for outages are Cork, Tipperary, Westmeath and parts of Galway.
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Locally power has been restored to the majority of homes in Cavan and Monaghan.
However, there is a small pocket of homes in the Belturbet area without electricity.
They have been without since approximately 10.30pm last night but it is expected it will be restored before midday.
