Southern Electric engineers have been out at first light to restore power to another 4,000 customers. The company says its focus is now on a number of areas with significant damage, and making locations safe before carrying out further work.
Key areas include the rural areas around Basingstoke, Aldershot, Reading and a small number of isolated areas in the New Forest.
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Amanda Houston has the latest weather forecast for the west of the ITV Meridian region.
Amanda Houston has the latest weather forecast for the east of the ITV Meridian region.
Former One Direction star Harry Styles and Hollywood actor Tom Hardy have been in Dorset for filming of their new blockbuster Dunkirk.