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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
(a) Represent the circuit in state variable form where x
1
¼i and x
2
¼di=dt.
(b) Show that the system is stiff when the circuit parameter values are R ¼25 V, L ¼20 mH,
C ¼200 mF, and v
0
¼12 V.
(c) Simulate the transient response using a xed-step RK-2 integrator, and determine the largest
step size T, which yields a stable and accurate solution.
(d) Use one of the stiff numerical integrators available in Simulink to simulate the transient
response.
(e) Find the analytical solution for the transient response, and compare the results of parts (c)
and (d) with the exact solution.
(a) Derivation of the state equations is straightforward.
_
x
1
¼
di
dt
¼ x
2
(6:229)
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Publisher Resources

ISBN: 9781439836736