The invention relates to a method for operating a wind energy plant (10), wherein power is output from the wind energy plant (10) during operation, the wind energy plant (10) being operated at a variable speed between a predeterminable minimum speed and a predefinable maximum speed, a characteristic variable ( 51) a vibration of the wind energy installation (10) or a part of the wind energy installation (10) is detected. The invention further relates to a wind power plant (10) with a tower (14) and a rotor (13), a generator (26) being provided which can be operated at variable speeds, a control or regulating device (36, 50) being provided, which is designed to control or regulate the speed of the rotor (13) between a minimum speed and a maximum speed during a power-generating operation of the wind energy installation (10) and wherein, in addition, a sensor (40) for detecting a characteristic variable (51) of an oscillation of the Wind turbine (10) or part of the wind turbine (10) is provided. The method according to the invention is characterized in that the minimum speed is changed as a function of the characteristic variable (51) of the vibration. The wind turbine according to the invention is characterized in that the minimum speed can be changed or is changed as a function of the characteristic variable (51) of the vibration, in particular by the control or regulating device (36, 50).
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