Currently, over 1,000 customers in the Aughrim area are affected by the faults.
The ESB says it may take a few more days before power is restored to all homes.
29,000 customers are without power, after the double hit of Storms Jocelyn and Isha.
Currently, over 1,000 customers in the Aughrim area are affected by the faults.
All weather alerts have now been lifted, but a yellow wind warning remains in place for Northern Ireland.
Alan O'Reilly from Carlow Weather says last night's storm wasn't as bad as the weekend's:
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