The method involves connecting an inverter (15) between the generator (4) and the AC network (18) in a low wind power range below the rated power range of the generator in order to operate the generator with a variable generator current frequency that is different from the mains current frequency. The inverter is configured for a maximum of 50 per cent and especially a maximum of 35 per cent of the rated power of the generator. Independent claims are also included for the following: (a) a wind power system with a generator in the form of an asynchronous machine (b) and a fitting kit for a wind power system with a generator.
