LT3581
25
3581fb
For more information www.linear.com/LT3581
APPENDIX
The use of the external PMOS, controlled by the GATE pin,
is particularly beneficial when dealing with unintended
output shorts in a boost regulator. In a conventional boost
regulator, the inductor, Schottky diode, and power switches
are susceptible to damage in the event of an output short
to ground. Using an external PMOS in the boost regulators
power path (path from V
IN
to V
OUT
) controlled by the GATE
pin, will serve to disconnect the input from the output
when the output has a short to ground, thereby helping
save the IC, and the other components in the power path
from damage. Ensure that both, the diode and the inductor
can survive low duty cycle current pulses of 3 to 4 times
their steady state levels.
The PMOS chosen must be capable of handling the maxi
-
mum input or output current depending on whether the
PMOS is used at the input (see Figure 11) or the output
(see Figure 18).
Ensure that the PMOS is biased with enough sour
ce to
gate voltage (V
SG
) to enhance the device into the triode
mode of operation. The higher the V
SG
voltage that biases
the PMOS into triode, the lower the R
DSON
of the PMOS,
thereby lowering power dissipation in the device during
normal operation, as well as improving the efficiency of
the application in which the PMOS is used. The follow
-
ing equations show the relationship between R
GATE
(see
Block Diagram) and the desired V
SG
that the PMOS is
biased with:
V
SG
=
V
IN
R
GATE
R
GATE
+ 2k
if V
GATE
< 2V
933µAR
GATE
if V
GATE
2V
When using a PMOS, it is advisable to configure the specific
application for undervoltage lockout (see the Operations
section). The goal is to have V
IN
get to a certain minimum
voltage where the PMOS has sufficient headroom to attain
a high enough V
SG
, which prevents it from entering the
saturation mode of operation during start-up.
Figure 18 shows the PMOS connected in series with the
output to act as an output disconnect during a fault con
-
dition. The Schottky diode from the V
IN
pin to the GATE
pin is optional and helps turn off the PMOS quicker in the
event of hard shorts. The resistor divider from V
IN
to the
SHDN pin sets a UVLO of 4V for this application.
Connecting the PMOS in series with the output offers certain
advantages over connecting it in series with the input:
Since the load current is always less than the input
current for a boost converter, the current rating of the
PMOS goes down.
A PMOS in series with the output can be biased with
a higher overdrive voltage than a PMOS used in series
with the input, since V
OUT
> V
IN
. This higher overdrive
results in a lower R
DSON
rating for the PMOS, thereby
improving the efficiency of the regulator.
In contrast, an input connected PMOS works as a simple
hot-plug controller (covered in more detail in the Hot-Plug
section). The input connected PMOS also functions as an
inexpensive means of protecting against multiple output
shorts in boost applications that synchronize the LT3581
with other compatible ICs (see Figure 11).
Table 7 shows a list of several discrete PMOS manufa-
cturers. Consult the manufacturers for detailed information
on their entire selection of PMOS devices.
Table 7. Discrete PMOS Manufacturers
Vishay www.vishay.com
Fairchild Semiconductor www.fairchildsemi.com
COMPENSATION – ADJUSTMENT
To compensate the feedback loop of the LT3581, a series
resistor-capacitor network in parallel with an optional
single capacitor should be connected from the V
C
pin to
GND. For most applications, choose a series capacitor in
the range of 1nF to 10nF with 2.2nF being a good starting
value. The optional parallel capacitor should range in value
from 47pF to 160pF with 100pF being a good starting
value. The compensation resistor, R
C
, is usually in the
range of 5k to 50k with 10k being a good starting value.
A good technique to compensate a new application is to
use a 100k potentiometer in place of the series resistor R
C
.
With the series and parallel capacitors at 2.2nF and 100pF
respectively, adjust the potentiometer while observing the
transient response and the optimum value for R
C
can be
LT3581
26
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For more information www.linear.com/LT3581
V
OUT
AC-COUPLED
500mV/DIV
I
L
1A/DIV
3581 F15a
50µs/DIV
V
OUT
AC-COUPLED
500mV/DIV
I
L
1A/DIV
3581 F15b
50µs/DIV
APPENDIX
found. Figures 15a to 15c illustrate this process for the
circuit of Figure 18 with a load current stepped between
540mA and 800mA. Figure 15a shows the transient re
-
sponse with R
C
equal to 1k. The phase margin is poor as
evidenced by the excessive ringing in the output voltage
and inductor current. In Figure 15b, the value of R
C
is
increased to 3k, which results in a more damped response.
Figure 15c shows the results when R
C
is increased further
to 10.5k. The transient response is nicely damped and the
compensation procedure is complete.
Figure 15a. Transient Response Shows Excessive Ringing
Figure 15b. Transient Response is Better
Figure 15c. Transient Response is Well Damped
V
OUT
AC-COUPLED
500mV/DIV
I
L
1A/DIV
3581 F15c
50µs/DIV
COMPENSATION – THEORY
Like all other current mode switching regulators, the LT3581
needs to be compensated for stable and efficient operation.
Two feedback loops are used in the LT3581: a fast current
loop which does not require compensation, and a slower
voltage loop which does. Standard Bode plot analysis can be
used to understand and adjust the voltage feedback loop.
As with any feedback loop, identifying the gain and
phase contribution of the various elements in the loop
is critical. Figure 16 shows the key equivalent elements
of a boost converter. Because of the fast current control
loop, the power stage of the IC, inductor and diode
have been replaced by a combination of the equivalent
transconductance amplifier g
mp
and the current controlled
current source (which converts I
VIN
to ηV
IN
/V
OUT
I
VIN
).
g
mp
acts as a current source where the peak input current,
I
VIN
, is proportional to the V
C
voltage. η is the efficiency
of the switching regulator and is typically about 80%.
Note that the maximum output currents of the g
mp
and
g
ma
stages are finite. The output of the g
mp
stage is
limited by the minimum switch current limit (see Electrical
Specifications) and the output of the g
ma
stage is nominally
limited to about ±12μA.
1.215V
REFERENCE
I
VIN
η
V
IN
V
OUT
I
VIN
V
OUT
C
OUT
C
PL
R
ESR
R
L
R
O
V
C
R
C
C
C
C
F
R1
FB
R2
R2
+
+
3581 F16
g
mp
g
ma
C
C
: COMPENSATION CAPACITOR
C
OUT
: OUTPUT CAPACITOR
C
PL
: PHASE LEAD CAPACITOR
C
F
: HIGH FREQUENCY FILTER CAPACITOR
g
ma
: TRANSCONDUCTOR AMPLIFIER INSIDE IC
g
mp
: POWER STAGE TRANSCONDUCTANCE AMPLIFIER
R
C
: COMPENSATION RESISTOR
R
L
: OUTPUT RESISTANCE DEFINED AS V
OUT
/I
LOAD(MAX)
R
O
: OUTPUT RESISTANCE OF g
ma
R1, R2; FEEDBACK RESISTOR DIVIDER NETWORK
R
ESR
: OUTPUT CAPACITOR ESR
Figure 16. Boost Converter Equivalent Model
LT3581
27
3581fb
For more information www.linear.com/LT3581
From Figure 16, the DC gain, poles and zeros can be
calculated as follows:
DC Gain:
(Breaking loop at FB pin)
A
DC
= A
OL
(0)=
V
C
V
FB
I
VIN
V
C
V
OUT
I
VIN
V
FB
V
OUT
=
g
ma
R
O
( )
g
mp
η
V
IN
V
OUT
R
L
2
0.5R
2
R
1
+ 0.5R
2
Output Pole:P1=
2
2• πR
L
C
OUT
Error AmpPole:P2 =
1
2• π R
O
+R
C
C
C
Error Amp Zero: Z1=
1
2• πR
C
C
C
ESR Zero: Z2 =
1
2• πR
ESR
C
OUT
RHP Zero: Z3 =
V
IN
2
R
L
2• πV
OUT
2
L
High Frequency Pole:P3 >
f
S
3
Phase Lead Zero: Z4 =
1
2• πR1C
PL
Phase LeadPole:P4 =
1
2• π
R1
R2
2
R1+
R2
2
C
PL
Error AmpFilter Pole:
P5 =
1
2• π
R
C
R
O
R
C
+R
O
C
F
,C
F
<
C
C
10
The current mode zero (Z3) is a right half plane zero which
can be an issue in feedback control design, but is manage-
able with proper external component selection.
APPENDIX
Using the circuit in Figure 18 as an example, Table 8 shows
the parameters used to generate the Bode plot shown in
Figure 17.
Table 8. Bode Plot Parameters
PARAMETER VALUE UNITS COMMENT
R
L
14.5 Ω Application Specific
C
OUT
9.4 µF Application Specific
R
ESR
1 Application Specific
R
O
305 Not Adjustable
C
C
1000 pF Adjustable
C
F
56 pF Optional/Adjustable
C
PL
0 pF Optional/Adjustable
R
C
10.5 Adjustable
R1 130 Adjustable
R2 14.6 Not Adjustable
V
REF
1.215 V Not Adjustable
V
OUT
12 V Application Specific
V
IN
5 V Application Specific
g
ma
270 µmho Not Adjustable
g
mp
15.1 mho Not Adjustable
L 1.5 µH Application Specific
f
OSC
2 MHz Adjustable
From Figure 17, the phase is –130° when the gain reaches
0dB giving a phase margin of 50°. The crossover frequency
is 17kHz, which is more than three times lower than the
frequency of the RHP zero Z3 to achieve adequate phase
margin.
Figure 17. Bode Plot for Example Boost Converter
FREQUENCY (Hz)
10
50
GAIN (dB)
PHASE (DEG)
70
90
110
130
100 1k 10k 100k 1M
3851 F17
30
10
–10
–30
150
170
–120
–80
–40
–240
–280
–160
–180
–360
–320
–200
0
PHASE
GAIN

LT3581IMSE#TRPBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Switching Voltage Regulators 3A Boost/Inverting DC/DC Converter with Fault Protection
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