There are some papers about the vector controlled induction motor systems with the adaptive secondary flux observer. One observer used in the system with speed sensor has the estimators of the primary resistance and secondary resistance. And another observer used in the system without speed sensor has the estimators of the primary resistance and speed. These systems are stable that the induction motor is driven under power running condition, but are not always stable that it is driven under regenerating condition. So far, the stability under regenerating condition is not made clear.
The conventional adaptive secondary flux observer was constituted on
dq (fixed) coordinate. In this paper, it is constituted on γδ (rotated) coordinate. The stability of systems on both the coordinates is equivalent. As the state variables of the systems on γδ coordinate are dc, the stability of systems can be investigated around equilibrium points.
As the results of investigation, the stability of systems is made clear under the power running condition and the regenerating condition. The systems are stable under the power running condition as known. But the systems are almost never stable under the regenerating condition, in case the observer has the estimators of the primary resistance and secondary resistance, or the observer has the estimators of the primary resistance and speed. Even the regenerating condition, in case the observer has only the estimator of the secondary resistance, or the observer has only the estimator of the speed, the boundaries of stability extend fairly.
The appropriateness of investigation results is confirmed by the simulations.
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