With reference to Example 19.7, 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?
Example 19.7
Develop a set of differential equations and a transfer function describing the dynamic response of the motor angular velocity of a PM DC motor connected to a mechanical load.
Analysis:
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