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ADP3430 Datasheet(PDF) 20 Page - ON Semiconductor

Part # ADP3430
Description  2??to 3?뭁hase Synchronous Buck Controller
PDF  26 Pages
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Manufacturer  ONSEMI [ON Semiconductor]
Direct Link  http://www.onsemi.com
Logo ONSEMI - ON Semiconductor

ADP3430 Datasheet(HTML) 20 Page - ON Semiconductor

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ADP3430
http://onsemi.com
20
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.
Another requirement also needs to be satisfied:
IRAMP < ICLAMP (200 mA/3), thus:
(eq. 22)
RR w
AR
VCC * VVID
ICLAMP
+
0.5
(12 * 1.51875) V
66.7 mA
+ 79 kW
Since above RR value is bigger than 79 kW, it keeps the
value of
750 KW.
The internal ramp voltage magnitude can be calculated by
using:
VR +
AR (1 * D) VVID
RR CR fSW
(eq. 23)
VR +
0.5
(1 * 0.1266)
1.51875 V
750 kW
5pF
300 kHz
+ 590 mV
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 21 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:
(eq. 24)
VRT +
VR
1 *
2
1*n D
n fSW CX RO
In this example, the overall ramp signal is 0.862 V. 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.
Current Limit Setpoint
To select the current limit setpoint, first find the resistor
value for RLIM. The current limit threshold for the ADP3430
is set with a constant current source (IILIM = 4/3*IREF)
flowing out of the ILIM pin, which sets up a voltage (VLIM)
across RLIM. Thus, increasing RLIM now increases the
current limit. RLIM can be found using:
RLIM +
VLIM
IILIM
+
ILIM RCS DCR
4
3
VREF RPH
RREF
(eq. 25)
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, choose
ILIM_DC =82.8 A and having a ripple current of 10 A gives
an ILIM of 92.8 A. RCS is selected as 110 kW in this example,
RPH is 61.9 kW, DCR is 0.57 mW (assuming). This results in
an RLIM = 4.7 kW, for which 4.53 kW is chosen as the nearest
1% value.
The per−phase initial duty cycle limit and peak current
during a load step are determined by:
DMAX + D
VCOMP(MAX) * VBIAS
VR
(eq. 26)
IPHMAX ^
DMAX
fSW
VIN * VVID
L
(eq. 27)
For the ADP3430, the maximum COMP voltage
(VCOMP(MAX)) is 4.4 V and the COMP pin bias voltage
(VBIAS) is 1.2 V. In this example, the maximum duty cycle
is 0.687 and the peak current is 53.3 A.
The limit of the peak per−phase current described earlier
during the secondary current limit is determined by:
IPHLIM ^
VCOMP(CLAMPED) * VBIAS
AD RDS(MAX)
(eq. 28)
For the ADP3430, the current balancing amplifier gain
(AD) is 5 and the clamped COMP pin voltage is 3.3 V. Using
an RDS(MAX) of 4.0 mW (low−side on resistance at 125°C)
results in a per−phase peak current limit of 100 A. This
current level can be reached only with an absolute short at
the output, and the current limit latchoff function shuts down
the regulator before overheating can occur.
IMON Setpoint
According to the function definition, IMON output voltage
should represent the load condition within the whole load
current range. The formula below will result RIMON in need:
RIMON +
VIMON
IIMON
+
VIMON RLIM
M
RCS
DCR
R
PH
IL
(eq. 29)
Here, IL is the total load current, M =10 is the current gain
for IMON. Since IMON output clamp voltage is around 1.1 V,
VIMON is selected as 0.8 V when IL = IMAX (69 A). While
RLIM = 4.53 kW, RIMON is calculated as 5.18 kW, for which
5.36 k
W is chosen as the nearest 1% value.
There is a capacitor (CIMON) in parallel with RIMON, in
order to filter output current ripple. The time constant of
RIMON * CIMON should be much bigger (> 10 x) than circuit
switching period. In this example, CIMON is selected as
2.2
mF.
Feedback Loop Compensation Design
Optimized compensation of the ADP3430 allows the best
possible response of the regulator output to a load change.
A type−three compensator on the voltage feedback is
adequate for proper compensation of the output filter.
Selecting Rfb = 1.24 kW, assuming Ca >> Cfb, compensator



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