In order to solve the problem of high content of non-dominant pole log-harmonic in fractional slot concentrated winding induction machine, a method of suppressing non-dominant pole log-harmonics by setting up compensation windings of fractional slot concentrated windings structure is proposed. Firstly, the distribution law of each harmonic magnetic potential of the fractional slot concentrated winding with different slot-pole coordination is analyzed. Then, according to the different distributions of the dominant pole log-harmonic and the non-dominant pole log-harmonic with higher harmonic content at the axis position, two different compensation winding arrangements are designed. Finally, through theoretical calculations and finite element simulations, it is verified that the method can effectively suppress the non-dominant pole log-harmonics with high harmonic content, and retain the characteristics of high phase independence of the concentrated windings.