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Lecture15 - 1 Lecture 15 SIMULATION RESULTS The results in...

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1 Lecture 15 SIMULATION RESULTS The results in this lecture are based on numerically integrating ) , ( u x f dt x d = , modeling the induction motor with short-circuited rotor windings. The initial states are . 0 ) 0 ( = x Current Pattern Fig. 1 shows the first three cycles of the current Sd i . In the d-q frame, the steady-state currents are at line frequency of the voltage supply, which is 60 Hz. The waveform of Sd i consists of the 60 Hz steady-state which dominates over the transients. The transient is slightly apparent because (i) the first peak is higher than the other peaks and (ii) there is a dc offset in the 60 Hz component. Fig. 1 also shows γ S i . In the γ - δ frame, the steady-state currents are time invariant. The small damped fluctuation riding on the constant of γ S i are due to the transient components. In both cases, the initial state 0 ) 0 ( = x is satisfied. The transient solution is required to “bridge” the initial steady-state with the final states of the steady-state solution. After the transients have damped out, the residual is the steady-state component.
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