6Detuning Effects in Induction Motor Vector Control

In vector control described in Chapters 4 and 5, we assumed that the induction machine parameters were known exactly. In practice, the estimated parameters may be off by a significant amount. This is particularly true of the rotor time constant τr (=Lr/Rr), which depends on the rotor resistance that increases significantly as the rotor heats up. In this chapter, we will calculate the steady-state error due to the incorrect estimate of the rotor resistance and also look at its effect on the dynamic response of vector-controlled drives [1,2].

6-1    Effect of Detuning Due to Incorrect Rotor Time Constant τr

We will define a detuning factor to be the ratio of the actual and the estimated rotor time constants as

where the estimated quantities are indicated by the subscript “est.” To analytically study the sensitivity of the vector control to kτ, we will simplify our system by assuming that the rotor of the induction machine is blocked from turning, that is, ωmech = 0. Also, we will assume an open-loop system, where the command (reference) currents are c6-math-5001 and c6-math-5002.

As shown in Fig. 6-1 at t = 0, the stator a-axis, the rotor A-axis, and ...

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