Fourteen flood warnings have been issued by the Scottish Environmental Protection Agency, and seven by Natural Resources Wales.
Ms Cusack said: "Another spell of rain is forecast to move right across Ireland during Wednesday night".
Some of the worst affected counties are Mayo, Sligo, Leitrim, Galway, Cavan and Monaghan.
The Met Office issued a weather warning for strong winds ahead of the storm's arrival yesterday (Tuesday).
Gusts of up to 70mph are expected across Northern England and the amber area now includes the northern edge of the city.
British Airways has cancelled some flights today as Storm Eleanor brings fales force winds and torrential rain to the United Kingdom and parts of continental Europe.
Wednesday daytime sees a very blustery day, with squally gusts accompanying showers in many areas.
There is also a status yellow rain warning in effect for Connacht and Donegal this evening. "Gusts of 50-60 miles per hour are likely fairly widely with some gusts reaching 65-75 miles per hour along exposed coasts and over high ground in the west".
"We have been working in hard conditions since last night to restore power to over 20,000 customers and we'll continue to respond to reports of damage and reconnect supplies as quickly and safely as possible".
In Austria, about 20 skiers in the Alpine town of Kitzbühel were rescued after strong winds dislodged a cable vehicle.
Public transport may be disrupted and bridges closed.
"As well as this, there is a small chance of disruption to power and other services".
The warning is in place from 10.15am to 7pm today.
All but two cover southern Scotland while Fife and Central Scotland have one apiece.
In Wales there are a further 36 flood warnings and 30 flood alerts, while in Scotland 14 flood warnings and five flood alerts are in place.
Met Éireann is urging the public to stay safe - with more powerful winds and flooding possible this afternoon.
It said there is also a risk of coastal flooding with very high seas along Atlantic coasts.
"The key concern is for a cluster of communities between the Isle of Whithorn and Kirkcubright".
Cyclonic variable winds developing too, with the risk of strong to gale force winds developing. Great Northern are sorry for the problems this disruption may cause you.
Drivers in some areas have been advised to use caution due to water on road surfaces.
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