The invention relates to a wind turbine having a wind rotor, a generator that is driven by the latter and that acts in combination with a converter to generate electrical power, a rotational-speed closed-loop control system and, acting in combination therewith, a power open-loop control system, the rotational-speed closed-loop control system emitting a setpoint rotational-speed signal (nset). According to the invention, provided between the rotational-speed closed-loop control system and the power open-loop control system is an offset module, which is designed to generate an offset signal (noffset) and to add it to the setpoint rotational-speed signal (nset). The wind turbine according to the invention makes it possible to reduce a drop in power following requested additional power. The invention additionally comprises a corresponding method for operating a wind turbine.