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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
Ignoring the effect of armature inductance, that is, assuming L ¼0 in Equations 6.255 and 6.258,
yields a rst-order model of the motor with transfer functions
V(s)
E
0
(s)
¼
K
T
JRs þ RB þ K
b
K
T
(6:273)
I(s)
E
0
(s)
¼
Js þ B
JRs þ RB þ K
b
K
T
(6:274)
Hence, the motor can be modeled as a rst-order component
V(s)
E
0
(s)
¼
K
m
t
m
s þ 1
(6:275)
with time constant t
m
¼t
2
¼0.375 s and K
m
¼ 3:3
3 rad=s=V.
(f) The Simulink diagram for the step responses of the rst- and second-order system models using
Euler integration is shown in Figure 6.33.
The simulated responses of the motor to a unit step input in armature voltage occurring at
t ¼0.25 s are shown in Figure 6.34. Euler integration ...
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Publisher Resources

ISBN: 9781439836736