Power has been restored to all properties cut iff after strong winds on Boxing day.
Anglesey and Gwynnedd were the worst affected areas.
Scottish Power said it has reconnected more than 20,000 properties by Saturday night with only a handful of home without power by the morning.
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Carwyn Jones will try to focus Labour members' attention on their party's achievements in Wales in what could be a tense conference.
Much of Wales again enjoying a fabulous day with warm sunshine! A little cooler in the west where the mist and low cloud will linger!
Delyth Thomas, aged 56, was overwhelmed when her cat Chloe walked back into her house in Skewen after four years.