A wind power generator comprising a stator, a rotor with a shaft connectable to wind turbine and a stationary superconducting coil structure for magnetizing the rotor of the wind power generator, the stator of the wind power generator comprising a multi-phase winding for producing electricity from the wind power generator. The wind power generator is a synchronous generator, and the superconducting coil structure comprises end portions that are arranged to be magnetized with opposing polarities by a superconducting coil, and the rotor comprises poles ex-tending in the surface of the rotor in the direction of the shaft of the generator, the poles being arranged to be magnetized using the superconducting coil structure, wherein each rotor pole is arranged to extend inwardly at one end of the pole such that the inwardly extended end of the pole is arranged in the vicinity of an end portion of the superconducting coil structure for magnetizing the rotor pole and wherein the rotor poles comprises pole shoes, which are formed to provide sinusoidally varying air gap flux in the air gap between stator and rotor.