12
Compensation Break Frequency Equations
Figure 10 shows an asymptotic plot of the DC-DC
converters gain vs. frequency. The actual Modulator Gain
has a high gain peak dependent on the quality factor (Q) of
the output filter, which is not shown in Figure 9. Using the
above guidelines should yield a Compensation Gain similar
to the curve plotted. The open loop error amplifier gain
bounds the compensation gain. Check the compensation
gain at F
P2
 with the capabilities of the error amplifier. The
Closed Loop Gain is constructed on the log-log graph of
Figure 10 by adding the Modulator Gain (in dB) to the
Compensation Gain (in dB). This is equivalent to multiplying
the modulator transfer function to the compensation transfer
function and plotting the gain.
The compensation gain uses external impedance networks
Z
FB
 and Z
IN
 to provide a stable, high bandwidth (BW) overall
loop. A stable control loop has a gain crossing with
-20dB/decade slope and a phase margin greater than 45
degrees. Include worst case component variations when
determining phase margin.
Component Selection Guidelines
Output Capacitor Selection
The output capacitors for each output have unique
requirements. In general, the output capacitors should be
selected to meet the dynamic regulation requirements.
Additionally, the PWM converters require an output capacitor
to filter the current ripple. The load transient for the
microprocessor core requires high quality capacitors to
supply the high slew rate (di/dt) current demands.
FIGURE 8. PRINTED CIRCUIT BOARD POWER PLANES AND
ISLANDS
V
OUT1
Q1
Q2
Q3
Q4
C
SS
+12V
C
VCC
VIA CONNECTION TO GROUND PLANE
ISLAND ON POWER PLANE LAYER
ISLAND ON CIRCUIT PLANE LAYER
L
OUT1
C
OUT1
CR1
HIP6021
C
IN
C
OUT2
V
OUT2
V
OUT3
+5V
IN
SS
PGND
LGATE1
UGATE1
PHASE1
DRIVE3
KEY
GND
VCC
DRIVE2
OCSET1
R
OCSET1
C
OCSET1
V
OUT4
DRIVE4
+3.3V
IN
L
IN
Q5
C
OUT3
C
OUT4
+3.3V
IN
FIGURE 9. VOLTAGE-MODE BUCK CONVERTER
COMPENSATION DESIGN
V
OUT
OSC
REFERENCE
L
O
C
O
ESR
V
IN
V
OSC
ERROR
AMP
PWM
DRIVER
(PARASITIC)
Z
FB
+
-
DACOUT
R1
R3
R2
C3
C2
C1
COMP
V
OUT
FB
Z
FB
HIP6021
Z
IN
COMP
DRIVER
DETAILED COMPENSATION COMPONENTS
PHASE
V
E/A
+
-
+
-
Z
IN
F
Z1
1
2?nbsp  R
?nbsp  2   C1
?/DIV>
-----------------------------------
=
F
Z2
1
2?nbsp   R1   R3
+
(
)   C3
?/DIV>
?/DIV>
------------------------------------------------------ -
=
F
P1
1
2?nbsp  R
2
C1   C2
?/DIV>
C1   C2
+
--------------------- -
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
------------------------------------------------------ -
=
F
P2
1
2?nbsp  R
?nbsp  3   C3
?/DIV>
-----------------------------------
=
FIGURE 10. ASYMPTOTIC BODE PLOT OF CONVERTER GAIN
100
80
60
40
20
0
-20
-40
-60
F
P1
F
Z2
10M
1M
100K
10K
1K
100
10
OPEN LOOP
ERROR AMP GAIN
F
Z1
F
P2
F
LC
F
ESR
COMPENSATION
FREQUENCY (Hz)
GAIN
MODULATOR
GAIN
CLOSED LOOP
 GAIN
20
V
IN
V
PP
------------
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
log
20
R2
R1
------- -
?nbsp  ?/DIV>
?nbsp  ?/DIV>
log
HIP6021
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