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R
ILIM +
I
OC
R
DS(on)[max]
I
SINK
)
V
OS
I
SINK
(W)
(16)
SYNCHRONIZING TO AN EXTERNAL SUPPLY
R
T(dummy) +
1
f
SYNC
17.82
10*6
* 17 kW
(17)
R
KFF + VIN(min) * 3.5 V
58.14
R
T(dummy) ) 1340
W
(18)
Loop Compensation
A
MOD +
V
IN
V
S
or
A
MOD(dB) + 20
log
V
IN
V
S
(19)
D +
V
O
V
IN
+
V
C
V
S
or
V
O
V
C
+
V
IN
V
S
(20)
Calculate the Poles and Zeros
TPS40054-Q1, TPS40055-Q1, TPS40057-Q1
SLAS482A – AUGUST 2005 – REVISED NOVEMBER 2005
APPLICATION INFORMATION (continued)
The current limit programming resistor RILIM) is calculated using Equation 16. Care must be taken in choosing the
values used for VOS and ISINK in the equation. In order to assure the output current at the overcurrent level, the
minimum value of ISINK and the maximum value of VOS must be used.
where:
ISINK is the current into the ILIM pin and is 8.5 A, minimum
IOC is the overcurrent setpoint which is the DC output current plus one-half of the peak inductor current
VOS is the overcurrent comparator offset and is –20 mV, maximum
The TPS4005x can be synchronized to an external clock through the SYNC pin. Synchronization occurs on the
falling edge of the SYNC signal. The synchronization frequency should be in the range of 20% to 30% higher
than its programmed free-run frequency. The clock frequency at the SYNC pin replaces the master clock
generated by the oscillator circuit. Pulling the SYNC pin low programs the TPS4005x to freely run at the
frequency programmed by RT.
The higher synchronization must be factored in when programming the PWM ramp generator circuit. If the PWM
ramp is interrupted by the SYNC pulse, a UVLO condition is declared and the PWM becomes disabled. Typically
this is of concern under low-line conditions only. In any case, RKFF needs to be adjusted for the higher switching
frequency. In order to specify the correct value for RKFF at the synchronizing frequency, calculate a dummy value
for RT that would cause the oscillator to run at the synchronizing frequency. Do not use this value of RT in the
design.
Use the value of RT(dummy) to calculate the value for RKFF.
This value of RKFF ensures that UVLO is not engaged when operating at the synchronization frequency.
RT(dummy) is in k
Voltage-mode buck-type converters are typically compensated using Type III networks. Since the TPS4005x
uses voltage feedforward control, the gain of the PWM modulator with voltage feedforward circuit must be
included. The modulator gain is described in Figure 10, with VIN being the minimum input voltage required to cause the ramp excursion to cover the entire switching period as described in Equation 19.
Duty cycle (D) varies from 0 to 1 as the control voltage )VC) varies from the minimum ramp voltage to the
maximum ramp voltage (VS). Also, for a synchronous buck converter, D = VO / VIN. To get the control voltage to
output voltage modulator gain in terms of the input voltage and ramp voltage:
For a buck converter using voltage mode control, there is a double pole due to the output L-CO. The double pole
is located at the frequency calculated in Equation 21.
16