LM3410, LM3410Q
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SNVS541G –OCTOBER 2007–REVISED MAY 2013
V
IN
V
O
L
1
C
3
D
1
LM3410
C
1
C
2
L
2
HB/OLED
1
2
3
6
5
4
R
2
R
1
Figure 26. HB/OLED SEPIC CONVERTER Schematic
Steady State Analysis with Loss Elements
v
v
( )
C1 t
+
( )
L1 t
-
-
+
i
i
i
L1(t)
C1(t)
D1(t)
R
v
L1
( )
D1 t
i
i
i
C2(t)
L2(t)
sw
-
V
IN
v
( )
L2 t
v
-
( )
O t
v
( )
C2 t
-
R
on
R
L2
Figure 27. SEPIC Simplified Schematic
Using inductor volt-second balance and capacitor charge balance, the following equations are derived:
IL2 = (ILED
)
(63)
(64)
and
IL1 = (ILED) x (D/D')
≈
’
÷
∆
1
VOUT
VIN
D
≈
’
∆
∆
∆
∆
÷
÷
÷
÷
= ∆
÷
÷
∆
'
2
2
D
≈
∆
’
≈
∆
’
÷
«
◊
≈
VD
’
÷
÷
◊
R
R
L1
RL2
R
D
≈
∆
’
÷
D
≈
∆
’
÷
ON
÷
∆
+
1+
+
+
∆
2
∆
«
÷
◊
∆
«
÷
◊
'
'
R
R
VOUT
«
◊
«
◊
«
D
D
∆
«
÷
◊
(65)
25
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