A method for operating a wind turbine and a system for operating a wind turbine are provided. The wind turbine includes a grid side converter and the grid side converter is coupled to a grid via a power line. The method includes determining a wind turbine operation strategy; determining a first active power reference and a first reactive power reference indicating a requested amount of active power and reactive power, respectively, depending on at least the wind turbine operation strategy; measuring a grid voltage of the grid; determining a positive sequence component and a negative sequence component of the grid voltage i.e. a positive sequence voltage and a negative sequence voltage; determining a second active power reference and a second reactive power reference indicating an actual amount of active power and reactive power to be supplied by the grid side converter to the grid, respectively, depending on at least the first active power reference, the first reactive power reference, and the wind turbine operation strategy; generating, based on at least the wind turbine operation strategy, a first parameter and a second parameter which define a proportion of positive sequence current component and negative sequence current component to be injected by the grid side converter in order to supply active power and reactive power in accordance with the second active power reference and the second reactive power reference; generating a current reference based on at least the second active power reference, the second reactive power reference, the positive sequence voltage, the negative sequence voltage, the first parameter, and the 77 second parameter; and supplying, with the grid side converter, active and reactive power to the power line based on the current reference.