Some residents of the upper north, Eyre Peninsula and Kangaroo Island have now been without electricity for close to two days since severe weather across South Australia.
Thunderstorms and strong winds caused outages across the state on Monday.
Fixed line and mobile phone services also have been hit for parts of the far north, but Telstra hopes they will be restored soon.
Optus services on lower Eyre Peninsula are still having problems.
Mobile phone services for the region resumed on Tuesday night but dropped out again today.
David Meekhums from Hawker said he would throw out two full freezers of food unless the power was back very soon.
"We've got no hot water, all we've got is cold town water and you can't drink the town water because that's so acidy," he said.
"So it's a case of you can't do much, you've just got to boil up water to wash your dishes.
"And fridges now are basically lukewarm."
© ABC 2012
21:39 EDT Queensland Premier Annastacia Palaszczuk has called on Prime Minister Tony Abbott to make extra grants available to cyclone-affected farmers in central Queensland.