The 900kW turbine on Gòb Sgùrabhal, the most westerly point of Barra, will be run by a community company and profits will be passed on for investment in development projects on the island.
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It is the first to be delivered using a beach landing and will stand on land owned by the Scottish Government. Project leader Euan Scott said: "It has been a long journey but worthwhile as the local community will benefit from the income stream generated over the years to come."
The project will have cost around £2.45 million by the time the turbine is up and running.
Local councillor Donald Manford said: "The significance of this achievement cannot be overstated. The single-minded determination to succeed is a tribute to the entire community."