The undamped angular frequency of the transient speed


Consider a motor supplied by a generator, each with a separate and constant field excitation. Assume the internal voltage E of the generator to be constant, and neglect the armature reaction of both machines. With the motor running with no external load, and the system being in steady state, let a load torque be suddenly increased from zero to T. The machine parameters are as follows:

Armature inductance of motor + generator, L = 0.008 H

Armature resistance of motor + generator, R = 0.04 Ω

Internal voltage of the generator E = 400 V Moment of inertia of motor armature and load

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(a) The undamped angular frequency of the transient speed oscillations, and the damping ratio of the system.

(b) The initial speed, final speed, and the speed drop in r/min.

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Electrical Engineering: The undamped angular frequency of the transient speed
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