Twenty crews from ESB Networks are now assisting their colleagues across the North where up to 40,000 homes have been left without power after heavy snow.
Hundreds of engineers and emergency crews have been working since first light to assess the damage and begin the repair process.
Damage has been caused by flying debris and high winds, including broken electricity lines and damage to poles and equipment.
In the Republic of Ireland, gardaí are appealing to motorists to take extra care on the roads as heavy rain continues to fall in many parts of the country.
The M11 Dublin to Wexford road remains closed both ways at Junction 5, Bray, due to flooding with the M50 Southbound at Cherrywood also heavily congested.
Gardaí say they hope to have one lane on the M11 opened soon, but in the meantime motorists using the M50 are facing severe delays.
They advise that northbound traffic leaves the N11 at the Old Conna exit, turn right to Little Bray, turn left for Wilford Roundabout and return to the northbound M11.
Southbound traffic has to leave the M11 at Bray North exit, going to Wilford roundabout and turning right to Little Bray and on either Upper Dargle or Main Street/Southern Cross Road returning to N11 southbound.
DART services operating between Malahide/Howth jct and Dun Laoghaire and again between Dalkey and Bray/Greystones. http://t.co/UFgDs7VPge— AA Roadwatch (@aaroadwatch) March 22, 2013
Irish Rail is also advising that many services in the East are subject to delays, while the Docklands Station in Dublin has been closed.
Bus Eireann says just a small number of routes in the East are experiencing delays.
In Wexford, the River Slaney at Enniscorthy has burst its banks along the promenade.
@boomshogan Hi. Several roads in Kilternan/Enniskerry closed. Best to travel via M50 nb, N81 to Bunclody & across from there!— AA Roadwatch (@aaroadwatch) March 22, 2013
Meanwhile, traffic remains heavy across Dublin and there are reports of flooding in Howth, Portmarnock, Rush, Lusk and Skerries