Discussion
A drive with a rising motor torque-speed characteristic driving a constant-torque load is
Answer: A
Correct answer: unstable at that operating point
With the load torque constant, \( dT_l/d\omega = 0 \), while the motor torque rises, so \( dT/d\omega > 0 \) and the stability criterion is violated. A small increase in speed raises the motor torque above the unchanged load torque, the drive accelerates further, and the departure grows. A stable intersection needs the motor characteristic to fall with speed - which is exactly what a shunt motor’s droop provides.
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