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Engineering Technology and Applications
book

Engineering Technology and Applications

by Fun Shao, Wise Shu, Tracy Tian
August 2014
Intermediate to advanced content levelIntermediate to advanced
346 pages
12h 11m
English
CRC Press
Content preview from Engineering Technology and Applications
3.2.2 Solution of the second-order circuit zero-state response
According to the solving principle of the second-order differential equation, the solution for zero
state of second-order circuit has two parts, they are compulsory component of zero state u
c1
and
free component of zero state u
c2
, respectively. u
c1
is obtained by the phasor method:
Where u
c1
is the phasor of u
c1
, Z
C
=
1
jωC
, Z
L
=jωL,
˙
U
s
=U
m
57
, the solution of formula (13) is
The form of zero-state free component is as follows: u
c2
=e
δt
(B
1
cos ω
z
t + B
2
sin ω
z
t)
Because u

c
=u
c1
+ u
c2
When formula (14) are substituted into formula (15), we can get
B
1
=260.93
B
2
=155.93
So the zero-state response of
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Publisher Resources

ISBN: 9781138027053