Maintenance work has been cancelled and extra crews brought in to help restore electrical supplies across Adelaide after damaging winds brought down trees and power lines.

At one stage on Monday more than 31,000 properties, mostly across the metropolitan and the Adelaide Hills, were without power.

By mid-afternoon that had been cut to less than 25,000.

SA Power Networks says there were about 90 separate outages with some affecting traffic lights at major intersections and its crews were initially focused on ensuring those locations where wires were down were made safe.

It also cancelled most planned maintenance and brought in extra crews from regional depots.

Additional inspectors were assessing the damage while vegetation crews were working on cutting back fallen branches and trees so repair crews could safely start restoring services.

"The damaging and destructive winds have thrown debris, including tree branches, into the network, damaging equipment and bringing down powerlines," SA Power Networks said.

"For now, estimating the power restoration times in each area is difficult as multiple faults are likely impacting the power supply."

The State Emergency Service said it had responded to more than 400 calls for assistance, mostly for downed trees amid widespread reports of minor damage.

The Bureau of Meteorology had a strong wind warning in place for most coastal regions from South Australia's west to the southeast.

But the conditions were bringing little in the way of rain with temperatures across the state forecast to be mild for most of the week.