The north-east recorded gusts of nearly 60mph as Storm Gareth hit.
Forecasters have warned strong winds may continue for the next few days.
Experts from the Met Office have said rain and high winds could affect Aberdeen and Aberdeenshire with the worst possible being on Friday.
The storm, caused by a deep area of low pressure, is the third named storm this year after Storm Erik in February and Freya earlier this month.
A spokesman for the Met Office said: “In the early hours of yesterday morning we had gusts of 60mph at Peterhead harbour.
“The winds did ease off but we still anticipate there could be some strong winds with the arrival of Storm Gareth.
“Yesterday, at around 5pm in Inverbervie they had winds of 55mph.
“It is one of the highest we had seen, but at the moment the highest gusts have been towards the west of Scotland.”
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The spokesman added: “As we look ahead we might see more rain rather than winds towards the end of the week.
“However, there is a potential on Friday to see some very strong winds.
“We are still a couple of days away from that and we will be firming up our forecasts nearer the time about the winds.”