However, in a statement at about 1900 GMT, NIE said power had been restored to all customers.
Randal Gilbert from NIE said interfering with high voltage electricity could be lethal.
On Saturday morning, 35, 000 customers were without electricity across Northern Ireland but NIE said it had managed to restore power to about 17, 000 of them during the course of the day.
BBC: Snow storms: Thousands without power in Northern Ireland
Northern Ireland Electricity (NIE) said the blackout was caused by an issue with the high voltage transmission network.
Vandals who broke into an electricity substation in north Belfast left 6, 000 properties without power, Northern Ireland Electricity (NIE) has said.
Ms Carson said NIE patrols would concentrate on areas around Torr Head, Mallusk, Dundrod, Stoneyford and Carr's Glen in County Antrim and Craigantlet in County Down on Sunday.
"We're working with Roads Service to get roads cleared but in some areas we are going to have to helicopter crews and materials in, " said NIE spokeswoman Julia Carson.
The nation's top intelligence analyst, Thomas Fingar, said he plans to finish the Iraq NIE by the end of January.
And what he had said, at least twice before the new NIE came out, and what he went out of his way to repeat the day after it came out, was that if we permitted Iran to build a nuclear arsenal, people fifty years from now would look back and wonder how we of this generation could have allowed such a thing to happen.
CENTERFORSECURITYPOLICY: Norman Podhoretz receives the Center's Mightier Pen Award
He explained NIE's short, medium and long term plans but said it would be difficult to get beyond the medium term targets without further infrastructure in the west.
"Some NIEs were put on the boards and there was no urgency associated with the delivery of the NIE, and they could string out for as long as this one has, " White said.
Let's review what some key senators said about the facts--and bear in mind, they all had access not only to the NIE but to the intelligence behind it.
Before the declassified version was released, administration sources said they were unsure if the details they provided to CNN would appear in the unclassified version of the NIE.
CNN: NIE: Intelligence community has tepid faith in Iraqi leaders
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