Transient Anaysis
Transient ’Ac De
D.C Transient Anaysis:
to Lov
R2
YiRt) -t
9voltage and curent in Same
Phase fose Te sistor. CuTTent fHoJAS SA
when Volta ge belng appliad
tto
1ov
2H
t >t
As the fnitial current is ZeYo
so co)
( 5Ao
4) xoxt =5t 1 t
.9)4
6 eurtent does not change abruptuy
foY a inducto 99
() 6
10) _C= 1F
it)
(os2)<
, La-place hransfoom ot CapaitoL oith
fnltial vottage.
93bs
R R
R
R R
ioloviolg
La-place transfomation of esisto
v = V6) 10
It is o funchion o f t 2Constant Value
9.
4n Assume initia condition = 0.
| 20vE) 24 F2E
, HLwwd
66 If Switch closes at t 2 seco
4n 49
(then 20 becomes 20 e-2.
E2s Becuse in time domain it is
woritten as 20ult-2) 9
Inverse La- place
0) e2t
transfotmahon:
S+2
->e2tut
()tuw
ii) G2)2 >te-2tul) 1
’It means it is shifted in
La-place domain 50 taking vse
La-place &we aet e-2t ult). After consider this we ean
say
this function is L
Tesemble to So S+2)2’teu).
3olg-n-svI
iv)
G+2) (s+
1
S+2 S+3
Taking Invevse La-place we get
etult) e-tuy
1
(St2(s+1)
A B C
t
St1
(st2) (S+2)2
1
3=-2
ls-2 [Cauchy Resilne
theorem]
D= Ls.= S2-2
2
S2-2
E-2
Transient ’Ac De
D.C Transient Anaysis:
to Lov
R2
YiRt) -t
9voltage and curent in Same
Phase fose Te sistor. CuTTent fHoJAS SA
when Volta ge belng appliad
tto
1ov
2H
t >t
As the fnitial current is ZeYo
so co)
( 5Ao
4) xoxt =5t 1 t
.9)4
6 eurtent does not change abruptuy
foY a inducto 99
() 6
10) _C= 1F
it)
(os2)<
, La-place hransfoom ot CapaitoL oith
fnltial vottage.
93bs
R R
R
R R
ioloviolg
La-place transfomation of esisto
v = V6) 10
It is o funchion o f t 2Constant Value
9.
4n Assume initia condition = 0.
| 20vE) 24 F2E
, HLwwd
66 If Switch closes at t 2 seco
4n 49
(then 20 becomes 20 e-2.
E2s Becuse in time domain it is
woritten as 20ult-2) 9
Inverse La- place
0) e2t
transfotmahon:
S+2
->e2tut
()tuw
ii) G2)2 >te-2tul) 1
’It means it is shifted in
La-place domain 50 taking vse
La-place &we aet e-2t ult). After consider this we ean
say
this function is L
Tesemble to So S+2)2’teu).
3olg-n-svI
iv)
G+2) (s+
1
S+2 S+3
Taking Invevse La-place we get
etult) e-tuy
1
(St2(s+1)
A B C
t
St1
(st2) (S+2)2
1
3=-2
ls-2 [Cauchy Resilne
theorem]
D= Ls.= S2-2
2
S2-2
E-2
