A method for generating a multiphase electrical alternating current having a sinusoidal fundamental wave in each phase by means of a multiphase inverter (240, 340) of a wind power installation, wherein the multiphase inverter (230; 340) is controlled by means of a tolerance band method which respectively has an upper band limit and a lower band limit for each of the phases (U, V, W) of the inverter (240, 340), and wherein the inverter (240, 340) has, for each phase, at least one upper switch (T1, T3, T5) for generating a positive sine half-wave of the alternating current of the phase and at least one lower switch (T2, T4, T6) for generating a negative sine half-wave of the alternating current of the phase, comprising the steps of: - generating the positive sine half-wave by means of the upper switch (T1, T3, T5) and generating the negative sine half-wave by means of the lower switch (T2, T4, T6) on the basis of the band limits (OB12, UB12, OB34, UB34, OB56, UB56) for the electrical alternating current of the phase, - changing at least one of the band limits (OB12, UB12, OB34, UB34, OB56, UB56) in such a manner that a signal component superimposed on the respective sinusoidal fundamental wave is reduced, wherein - a DC component is captured as the superimposed signal component (I1G*), wherein the capture of the superimposed signal component is carried out by capturing the switching frequency (f1, f3, f5) of the upper switch (T1, T3, T5) and capturing the switching frequency (f2, f4, f6) of the lower switch (T2, T4, T6) by comparing the switching frequencies (f1, f2, f3, f4, f5, f6) of the upper switch (T1, T3, T5) and of the lower switch (T2, T4, T6), wherein - the upper band limit or alternatively the lower band limit is changed in such a manner that the difference in the switching frequency (f1, f2, f3, f4, f5) between the upper switch (T1, T3, T5) and the lower switch (T2, T4, T6) is minimized, characterized in that - the upper band limit or alternatively the lower band limit (UB12*) is changed with a time constant which is a multiple of the duration of the fundamental oscillation of the electrical alternating current of the relevant phase. - generating the positive sine half-wave by means of the upper switch (T1, T3, T5) and generating the negative sine half-wave by means of the lower switch (T2, T4, T6) on the basis of the band limits (OB12, UB12, OB34, UB34, OB56, UB56) for the electrical alternating current of the phase, - changing at least one of the band limits (OB12, UB12, OB34, UB34, OB56, UB56) in such a manner that a signal component superimposed on the respective sinusoidal fundamental wave is reduced, wherein - a DC component is captured as the superimposed signal component (I1G*), wherein the capture of the superimposed signal component is carried out by capturing the switching frequency (f1, f3, f5) of the upper switch (T1, T3, T5) and capturing the switching frequency (f2, f4, f6) of the lower switch (T2, T4, T6) by comparing the switching frequencies (f1, f2, f3, f4, f5, f6) of the upper switch (T1, T3, T5) and of the lower switch (T2, T4, T6), wherein - the upper band limit or alternatively the lower band limit is changed in such a manner that the difference in the switching frequency (f1, f2, f3, f4, f5) between the upper switch (T1, T3, T5) and the lower switch (T2, T4, T6) is minimized, - the upper band limit or alternatively the lower band limit (UB12*) is changed with a time constant which is a multiple of the duration of the fundamental oscillation of the electrical alternating current of the relevant phase.