On the slip control type vector control of induction motors, an axis-deviation between the secondary flux-axis and the axis of control coordinates is existence. Particularly, in case of a control scheme based on the motor model in the secondary field coordinates, this model was poor at analysis of the effect of parameter deviation and at making sure its allowable limit.
Therefore, in this paper, transient responses considering the axis deviation are clarified. And, in order to study uniformly the vector controlled induction motors with parameter deviation and non-vector-controlled induction motors, transient characteristics including trajectory, axisdeviation angle and step response of output torque are clarified by using the motor model in the electrical synchronously rotating reference frame with γ-δ axes. Conseqently, the following arguments are studied.
(1) The secondary field coordinates is not available for studying uniformly both of to obtain a control scheme and to evaluate the effect of parameter deviation in its control scheme, because of the motor model in this secondary field coordinates takes no account of the secondary flux of quadrature axis (qφ).
(2) By the general solutions including cases of multiple input and of non-vector-controlled mode in the γ-δ axis coordinates, the account of parameter deviation of slip velocity control system can be taken, and the evaluation items including trajectory and axis-deviation angle etc. can be clearized.