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The operating region of the developed torque (T_em) and speed (ω) of an induction motor drive is given by the shaded region OQRF in the figure. The load torque (T_L) characteristic is also shown. The motor drive moves from the initial operating point O to the final operating point S. Which one of the following trajectories will take the shortest time?

1. O – Q – R – S
2. O – P – S
3. O – E – S
4. O – F – S

Correct answer: O – P – S

Solution

The trajectory O – P – S is the most direct path from the initial to the final operating point, minimizing the time taken by avoiding unnecessary intermediate points and maintaining a more efficient transition through the operating region.

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