A method for black starting a wind turbine and a wind farm following islanding operation a method for restoring the wind farm following the islanding operation and the wind turbine and wind farm using the same are provided. The wind turbine (1) comprises auxiliary equipment (102) a generator (100) a converter (101) electrically connectable to the generator (100) and an energy storage system (105) the generator(100) is electrically connectable to the auxiliary equipment (102) via the converter (101) the energy storage system (105) is electrically connectable to the auxiliary equipment (102) the method for black staring the wind turbine including: measuring wind blowing smoothness degree; if the measured wind blowing smoothness degree is above a smoothness threshold selecting the generator (100) as a first power source to supply first power to the auxiliary equipment (102) in V/f control mode and selecting the energy storage system (105) as a second power source to adjust an amount of active power and reactive power fed to the auxiliary equipment (102) by the first power source in consideration of amount of active power and reactive power demand suitable for powering the auxiliary equipment (102); otherwise selecting the energy storage system (105) as a first power source to supply power to the auxiliary equipment (102) in V/f control mode and selecting the generator (100) as a second power source to adjust an amount of active power and reactive power fed to the auxiliary equipment (102) by the first power source in consideration of the amount of active power and reactive power demand suitable for powering the auxiliary equipment (102).
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