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ADP3198 Datasheet(PDF) 26 Page - Analog Devices

Part # ADP3198
Description  8-Bit Programmable 2- to 4-Phase Synchronous Buck Controller
PDF  32 Pages
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Manufacturer  AD [Analog Devices]
Direct Link  http://www.analog.com
Logo AD - Analog Devices

ADP3198 Datasheet(HTML) 26 Page - Analog Devices

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ADP3198
Rev. A | Page 26 of 32
Solving for the power dissipation per MOSFET at IO = 119 A and
IR = 11 A yields 958 mW for each synchronous MOSFET and
872 mW for each main MOSFET. A guideline to follow is to limit
the MOSFET power dissipation to 1 W. The values calculated in
Equation 25 and Equation 26 comply with this guideline.
Finally, consider the power dissipation in the driver for each
phase. This is best expressed as QG for the MOSFETs and is
given by Equation 27, where QGMF is the total gate charge for
each main MOSFET and QGSF is the total gate charge for each
synchronous MOSFET.
()
CC
CC
GSF
SF
GMF
MF
SW
DRV
V
I
Q
n
Q
n
n
f
P
×
⎥
⎥
⎦
⎤
⎢
⎢
⎣
⎡
+
×
+
×
×
×
=
2
(27)
Also shown is the standby dissipation factor (ICC × VCC) of the
driver. For the ADP3110A, the maximum dissipation should be less
than 400 mW. In this example, with ICC = 7 mA, QGMF = 5.8 nC,
and QGSF = 48 nC, there is 297 mW in each driver, which is
below the 400 mW dissipation limit. See the ADP3110A data
sheet for more details.
RAMP RESISTOR SELECTION
The ramp resistor (RR) is used for setting the size of the internal
PWM ramp. The value of this resistor is chosen to provide the best
combination of thermal balance, stability, and transient response.
Equation 28 is used for determining the optimum value.
kΩ
356
pF
5
Ω
m
2.4
5
3
nH
320
0.2
3
=
×
×
×
×
=
×
×
×
×
=
R
R
DS
D
R
R
R
C
R
A
L
A
R
(28)
where:
AR is the internal ramp amplifier gain.
AD is the current balancing amplifier gain.
RDS is the total low-side MOSFET on resistance.
CR is the internal ramp capacitor value.
The internal ramp voltage magnitude can be calculated by using
()
()
V
m
4
39
kHz
330
pF
5
Ω
k
357
V
1.3
0.108
1
0.2
1
=
×
×
×
−
×
=
×
×
×
−
×
=
R
SW
R
R
VID
R
R
V
f
C
R
V
D
A
V
(29)
The size of the internal ramp can be made larger or smaller.
If it is made larger, stability and noise rejection improves, but
transient degrades. Likewise, if the ramp is made smaller,
transient response improves at the sacrifice of noise rejection
and stability.
The factor of 3 in the denominator of Equation 28 sets a ramp
size that gives an optimal balance for good stability, transient
response, and thermal balance.
COMP PIN RAMP
A ramp signal on the COMP pin is due to the droop voltage
and output voltage ramps. This ramp amplitude adds to the
internal ramp to produce the following overall ramp signal
at the PWM input:
()
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
×
×
×
×
−
×
−
=
O
X
SW
R
RT
R
C
f
n
D
n
V
V
1
2
1
(30)
In this example, the overall ramp signal is 0.46 V. However,
if the ramp size is smaller than 0.5 V, increase the ramp size
to be at least 0.5 V by decreasing the ramp resistor for noise
immunity. Because there is only 0.46 V initially, a ramp resistor
value of 332 kΩ is chosen for this example, yielding an overall
ramp of 0.51 V.
CURRENT-LIMIT SETPOINT
To select the current-limit setpoint, first find the resistor value
for RLIM. The current-limit threshold for the ADP3198 is set
with a constant current source flowing out of the ILIMIT pin,
which sets up a voltage (VLIM) across RLIM with a gain of
82.6 mV/V (ALIM). Thus, increasing RLIM now increases the
current limit. RLIM can be found using
REF
CSA
LIM
ILIMIT
LIM
CL
LIM
R
R
I
I
A
V
R
×
×
=
×
=
mV
6
.
82
(31)
Here, ILIM is the peak average current limit for the supply output.
The peak average current is the dc current limit plus the output
ripple current. In this example, choosing a dc current limit of
159 A and having a ripple current of 11 A gives an ILIM of 170 A.
This results in an RLIM = 205.8 kΩ, for which 205 kΩ is chosen
as the nearest 1% value.
The per-phase initial duty cycle limit and peak current during a
load step are determined by
()
RT
BIAS
MAX
COMP
MAX
V
V
V
D
D
−
×
=
(32)
(
)
L
V
V
f
D
I
VID
IN
SW
MAX
PHMAX
−
×
≅
(33)
For the ADP3198, the maximum COMP voltage (VCOMP(MAX))
is 4.0 V and the COMP pin bias voltage (VBIAS) is 1.1 V. In this
example, the maximum duty cycle is 0.61 and the peak current
is 62 A.



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