With reference to Example 14.9, assume that the load torque applied to the PM DC motor is zero. Determine the speed response of the motor speed to a step change in input voltage. Derive expressions for the natural frequency and damping ratio of the second-order system. What determines whether the system is over- or underdamped?
14.26 A motor with polar moment of inertia J
develops torque according to the relationship
T = aω + b. The motor drives a load defined by the torque–speed relationship TL = cω2 + d . If the four coefficients are all positive constants, determine the
equilibrium speeds of the motor-load pair, and whether these speeds are stable.
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