The transfer functions for an armature-controlled dc motor with the speed as the output are (s)/V(s) =

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The transfer functions for an armature-controlled dc motor with the speed as the output are
Ω(s)/V(s) = KT/((Is+c)(Ls + R) + KbKT)
Ω(s)/Td(s) = (Ls + R)/((Is+ c)(Ls + R) + KbKT)
A certain motor has the following parameter values:
KT = 0.04 N.m/A
Kb = 0.04 V.s/rad
c = 7 x 10-5 N-m-s/rad
R = 0.6 Ω.
L = 0.1 H
lm = 2 x 10-5 kg-m2
lL =4 x 10-5 kg-m2
Where lm is the motor's inertia and IL is the load inertia. Thus I = Im + IL. Obtain the frequency response plots for both transfer functions. Determine the bandwidth and resonant frequency, if any.
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System Dynamics

ISBN: 978-0073398068

3rd edition

Authors: William Palm III

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