AAT1164 Advanced Analog Technology, Inc., AAT1164 Datasheet - Page 18

• Manufacturer Part Number: AAT1164
• Description: Triple-channel Tft Lcd Power Solution With Operational Amplifiers
• Manufacturer: Advanced Analog Technology, Inc.

r
capacitor ESR, R
is the output filter capacitor, r
resistance, and R
The duty to inductor current transfer functionT
Where
Current Sampling Transfer Function
Error voltage to duty transfer function
Where
Therefore, F
transfer function T
frequency;
transresistance.
For the boost converter M
M
For AAT1164, R
compensation, Ma = 0.8×10
The closed-current loop transfer function T
r
F (s) =
ξ
T (s) =
ω = 2 π f
L
m
pi
=
2
=
s
is the inductor equivalent series resistance, r
= (V
r
C
L
2 LC
OUT
+
ω
O
Dr
T
i
d
V
– V
l
sh
S
pi0
d
[r R
ei
DS
OUT
= T
IN
(
=
=
) / L.
=
m
pi0
R
+
3 ω
L
(s) depends on duty to inductor current
T R
(
V
π
CS
R
(1 D)R
pi0 CS
+
2f
O
L R + r
CS
s + 2ξω s + ω
s
L
r
−
L
F
(
2
S
C
(



+
R + 2r
is the converter load resistance, C
is the diode forward resistance.
2
= 0.24 V/A, Ma is slope
1 α
1 α
pi
)
L
is
r
L
(
(s), and f
+
C
−
+
s + 2ξω s + ω
Advanced Analog Technology, Inc.
s + ω
s s + ω
R r 1 D ] L
2
)
F
(
[r
C
L C



the
n
C
+
)
,
1
zi
α
)
(
= V
(
1 D R ]
6.
,
=
zi
−
ω =
−
n
DS
M
IN
M
current-sense
) (
S
n
zi
2
2
1
s + ω
/ L and
)
is the transistor turn on
)
is the clock switching
2
2
+
−
C
M
n
+
M
L
2
OUT
sh
a
a
)
F (s) is:
m
,
,
)
(
–
R / 2 + r
pi
1
L
(s) is :
pi
–
Advanced Analog Technology, Inc . –
amplifier
is:
台 灣 類 比 科 技 股 份 有 限 公 司
C
C
)
Page 18 of 24
OUT
Version 1.00
is
The Voltage-Loop Gain with Current Loop
Closed
The control to output voltage transfer function T
The voltage-loop gain with current loop closed is:
Where
The compensator transfer function
Where
L (s) βT (s)T (s)
T (s) =
T (s) =
=
T (s)
ω =
(
AAT1164/AAT1164B/AAT1164C
icl
s ω
C
d
VI
c
βg R
+
m C
R C
(
=
s ω
zi
C C
=
1
+
V
V
V (s)
V (s)
)
β =
Figure 6. Voltage Loop Compensator
R
fb
(s
C
–
O
C
12f
CS pi0
s
C
2
z1
=
V
V
+
T
+
S
FB
)(
g R
s
O
2
ω
m C
= T (s)T (s)
sω
s ω
c
d
−
x
sh
icl
12f
R
(
s
s + ω
+
z2
CS pi0
+ ω
s
S
12f
)
2
(
p
T
c
s + 2ξω s + ω
T
zi
S
2
,
p0
2
)
(
)
s + ω s +12f
×
2
n
sh
n
2
)
S
2
)
April 2007
d
is :