Dynamics of asynchronous machine with a rotor of squirrel-cage type: PMM vol. 38, n≗ 1, 1974, pp. 66–77

Abstract

A well-known method of analytical mechanics consisting of applying ideal constraints is used to construct the equations of motion for a model of an asynchronous machine with a squirrel-cage type rotor and the dynamics of this machine is studied for the case when the time constant of the mechanical motion is much greater than the time constant of the electrical processes. The ideal character of the constraints is proved and it is shown that from the dynamical points of view, the squirrel-cage type rotor is equivalent to two orthogonal sinusoidal windings only in the case, as Kron postulates [2], when the stator windings have sinusoidally distributed turns. Although the theory of electric machines with rotating rotors which treats these machines as electromechanical systems has undergone a considerable development, the collectorless machines with solid or squirrel-cage type rotors appear to have fallen outside the scope of this theory [1], The only relevant theoretical work known to the authors is based on the assumption of Kron [2] that a squirrel-cage type rotor is equivalent to two orthogonal sinusoidal windings. This assumption is however still unproved.