The pilot of the single-engine aircraft and three cattle ranchers died following the collision with the turbine on the 40.5MW South Dakota Wind Energy Centre in Hyde County.
GE's 1.5MW turbines were installed and commissioned on the NextEra run project in 2003. The turbines have 35-metre blades and sit on 65-metre towers, giving a tip height of 100 metres, below that of many modern turbines.
An initial accident from the FAA said the plane struck the tower of one of the turbines.
The aircraft, which was supposed to be travelling from Hereford, Texas, to Gettysburg, South Dakota, was reported missing on Sunday and was found on Monday.
While the FAA initially investigated the crash, the main investigation into the cause of the accident will fall under the jurisdiction of the National Transportation Safety Board due to the fatalities associated with it.