A wind turbine (100) comprising a main generator (7), a main power converter (8) connected to the main generator (7) and adapted to convert the electrical output power of the main generator (7) to an electrical power to be fed into the utility grid (14) up to a first rated converter output power and an auxiliary power converter (9) connected to the main generator (7) and adapted to convert the electrical output power of the main generator (7) to an electrical power up to a second rated converter output power which is lower than the first rated converter output power is provided. Further, a method for operating a wind turbine (100) is provided.