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Rainbow-electronics MAX15041 Manual de usuario Pagina 12

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MAX15041
Having defined the power modulator’s transfer function
gain, the total system loop gain can be written as fol-
lows (see Figure 1):
where R
OUT
is the quotient of the error amplifier’s DC
gain, A
VEA
, divided by the error amplifier’s transcon-
ductance, g
MV
; R
OUT
is much larger than R
C
and C
C
is
much larger than C
CC
.
Rewriting:
The dominate poles and zeros of the transfer loop gain
is shown below:
The order of pole-zero occurrence is:
Note under heavy load, f
P2
, may approach f
Z1
.
A graphical representation of the asymptotic system
closed-loop response, including the dominant pole and
zero locations is shown in Figure 2.
ff ff f
PP ZZ P12 12 3
<<<≤
f
g
C
f
C ESR
P
MV
AVEA dB
C
P
OUT
1
20
2
210
1
2
=
××
=
×+
π
π
_/
RR
f
CR
f
CR
f
LOAD
P
CC C
Z
CC
Z
()
=
×
=
×
=
31
2
1
2
1
2
1
2
ππ
ππ×C ESR
OUT
Gain
V
V
A
sC R
sC
A
g
FB
OUT
VEA
CC
C
VEA
MV
=×
+
()
⎛
⎝
⎜
⎞
⎠
⎟
+
1
111
1
⎡
⎣
⎢
⎤
⎦
⎥
×+
()
××
+
()
sC R
GR
sC ESR
CC C
MOD LOAD
OUT
ssC ESR R
OUT LOAD
+
()
+
⎡
⎣
⎤
⎦
1
α=
×+
()
+
()
+
()
+
⎡
⎣
⎤
⎦
×
RsCR
sC C R R sC
OUT C C
CCCCOUT
1
1
CCCCCOUT
MOD LOAD
O
CRR
GR
sC
|| ||
()( )
+
⎡
⎣
⎤
⎦
=× ×
1
β
UUT
OUT LOAD
ESR
sC ESR R
Gain
R
R
+
()
+
()
+
⎡
⎣
⎤
⎦
=
1
1
2
1
++
×××
R
A
R
VEA
OUT2
αβ
Low-Cost, 3A, 4.5V to 28V Input, 350kHz, PWM
Step-Down DC-DC Regulator with Internal Switches
12 ______________________________________________________________________________________
L0
Q
HS
CONTROL
LOGIC
V
COMP
V
OUT
PWM
COMPARATOR
COMP
R
C
R
OUT
g
MV
V
IN
POWER MODULATOR
OUTPUT FILTER
AND LOAD
NOTE: THE G
MOD
STAGE SHOWN ABOVE MODELS THE AVERAGE CURRENT OF
THE INDUCTOR INJECTED INTO THE OUTPUT LOAD. THIS REPRESENTS A
SIMPLIFICATION FOR THE POWER MODULATOR STAGE DRAWN ABOVE.
ERROR AMPLIFIER
FEEDBACK
DIVIDER
COMPENSATION
RAMP
g
MC
DCR
I
L
Q
LS
V
OUT
V
OUT
I
L
ESR
C
OUT
R
LOAD
C
C
REF
*C
CC
IS OPTIONAL.
R
OUT
= A
VEA
/g
MV
*C
CC
FB
R
1
R
2
G
MOD
Σ
Figure 1. Peak Current-Mode Regulator Transfer Model
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