By introducing normalized variables, the number of coefficients in the linearized mathematical model of an asynchronous machine was reduced. Based on this model, the influence of individual parameters and the frequency of the supply voltage on the stability of the asynchronous machine was analyzed. A stability map for no-load operation was presented, on the basis of which, in graphical form, criteria were defined by which the conditions under which an asynchronous motor will be stable in the entire frequency range of the supply voltage can be determined. Using an appropriate mathematical model, the influence of eddy currents in the rotor on the stability of a squirrel-cage motor was analyzed, and it was shown that the obtained criteria for determining stability can also be used in the case of large squirrel-cage motors.