The invention relates to a method for operating a wind energy installation (10), in which the wind energy installation (10) has a rotor (12, 13, 22), at least one rotor blade (14) with an adjustable angle, a mechanical
brake device (19) for braking the rotor (14), an operational control device (15, 15′) and a safety
system (16, 20). The invention also relates to a corresponding wind energy installation (10). The method according to the invention is defined by the following method steps: braking of the rotor (12, 13, 22) by means of an angular adjustment (28) with an average angular adjustment rate of less than 8.5° / s of the at least one rotor blade (14) after a fault
signal (30) occurs, braking of the rotor (12, 13, 22) by means of the mechanical
brake device (19) as soon as the rotational speed of the rotor (12, 13, 22) exceeds a predefinable first rotational
speed limit, and triggering of the safety
system (16, 20) as soon as the rotational speed of the rotor (12, 13, 22) exceeds a predefinable second rotational
speed limit.