Multiphase generator-conversion systems are disclosed. The system comprises a multiphase generator having one rotor and m+1 number of electromagnetically coupled stators, each stator comprising a plurality of phase legs. The system also comprises a converter having m+1 conversion lines, each conversion line connected to the plurality of phase legs of one of said m+1 stators. Each conversion line comprises a rectification module. At most m of the m+1 rectification modules comprise an active filtering converter, respectively, and at least one of the m+1 rectification modules comprises a passive rectifier. At least one of the active filtering converters is arranged to directly control its current to vary the magnetic flux of the stator to which it is connected and indirectly affect the magnetic flux of the rest of the stators through the electromagnetic coupling between them, thus mitigating the harmonic content from all phases of the generator. Also disclosed are wind turbines that comprise such generation conv