22
LTC1735-1
APPLICATIO S I FOR ATIO
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The next step is to calculate the I
TH
pin voltage, V
ITH
, scale
factor. The V
ITH
scale factor reflects the I
TH
pin voltage
required for a given load current in continuous inductor
current operation. V
ITH
controls the peak sense resistor
voltage, which represents the DC output current plus one
half of the peak-to-peak inductor current. The no load to
full load V
ITH
range is from 0.3V to 2.4V, which controls
the sense resistor voltage from 0V to the V
SENSE(MAX)
voltage of 75mV. For the circuit shown in Figure 8, the
calculated V
ITH
scale factor is:
V ScaleFactor
V Range Sense sistor Value
V
VV
V
VA
ITH
ITH
SENSE MAX
=
==
•Re
(. . ) .
.
./
()
24 03 0003
0 075
0 084
Assuming continuous inductor current, V
ITH
is:
VI
I
V ScaleFactor
V Offset
ITH OUTDC
L
ITH
ITH
=+
+
2
At full load current:
VA
A
VA V
V
ITH MAX
PP
()
•. / .
.
=+
+
=
15
5
2
0 084 0 3
177
At minimum load current:
VA
A
VA V
V
ITH MIN
PP
()
.•./.
.
=+
+
=
02
2
2
0 084 0 3
040
Notice that I
L
, the peak-to-peak inductor current, changes
from light load to full load. Increasing the DC inductor
current decreases the permeability of the inductor core
material, which decreases the inductance and increases
I
L
. The amount of inductance change is a function of the
inductor design.
If the circuit shown in Figure 8 sustained continuous in-
ductor current operation, the error amplifier would control
V
ITH
from 0.40V at light load to 1.77V at full load, a 1.37V
change. During Burst Mode operation, the LTC1735-1
output voltage is controlled by a comparator, not the error
amplifier. Even though the error amplifier is not used in
Burst Mode operation, it is necessary to assume linear
operation for all error amplifier gain calculations.
To create the ±30mV input offset error, the voltage gain of
the error amplifier must be limited. The desired gain is:
A
V
Input Offset Error
V
V
V
ITH
=
==
137
2003
22 8
.
(. )
.
Connecting a resistor to the output of the transconductance
error amplifier will limit the voltage gain. The value of this
resistor is:
R
A
Error Amplifier g ms
k
ITH
V
m
===
22 8
13
17 54
.
.
.
To center the output voltage variation, V
ITH
must be
centered so that no I
TH
pin current flows when the output
voltage is nominal. V
ITH(NOM)
is the average voltage be-
tween V
ITH
at maximum output current and minimum
output current:
V
VV
V
VV
VV
ITH NOM
ITH MAX ITH MIN
ITH MIN()
() ()
()
.–.
..
=+
=+=
2
177 040
2
0 40 1 085
The Thevenin equivalent of the gain limiting resistance
value of 17.54k is made up of a resistor R5 that sources
current into the I
TH
pin and resistor R1 that sinks current
to SGND.
To calculate the resistor values, first determine the ratio
between them:
k
VV
V
VV
V
INTVCC ITH NOM
ITH NOM
===
.–.
.
.
()
()
52 1085
1 085
379
V
INTVCC
is equal to V
EXTVCC
or 5.2V if EXTV
CC
is not used.
Resistor R5 is:
Rk R k k
ITH
5 1 3 79 1 17 54 84 0=+ = + =() (. ). .
23
LTC1735-1
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Resistor R1 is:
R
kR
k
k
k
ITH
1
1 3 79 1 17 54
379
22 17=
+
=
+
=
() (. ).
.
.
Unfortunately, PCB noise can add to the voltage developed
across the sense resistor, R6, causing the I
TH
pin voltage
to be slightly higher than calculated for a given output
current. The amount of noise is proportional to the output
current level. This PCB noise does not present a serious
problem but it does change the effective value of R6 so the
calculated values of R1 and R5 may need to be adjusted to
achieve the required results. Since PCB noise is a function
of the layout, it will be the same on all boards with the same
layout.
Figures 9 and 10 show the transient response before and
after active voltage positioning is implemented. Notice
that active voltage positioning reduced the transient re-
sponse from almost 200mV
P-P
to a little over 100mV
P-P
.
Refer to Design Solutions 10 for more information about
active voltage positioning.
Automotive Considerations: Plugging Into the
Cigarette Lighter
As battery-powered devices go mobile, there is a natural
interest in plugging into the cigarette lighter in order to
conserve or even recharge battery packs during operation.
But before you connect, be advised: you are plugging into
the supply from hell. The main power line in an auto is the
source of a number of nasty potential transients, including
load dump, reverse battery and double battery.
Load dump is the result of a loose battery cable. When the
cable breaks connection, the field collapse in the alternator
can cause a positive spike as high as 60V which takes
several hundred milliseconds to decay. Reverse battery is
just what it says, while double battery is a consequence of
tow-truck operators finding that a 24V jump start cranks
cold engines faster than 12V.
The network shown in Figure 11 is the most straight
forward approach to protect a DC/DC converter from the
ravages of an automotive power line. The series diode
prevents current from flowing during reverse battery,
while the transient suppressor clamps the input voltage
during load dump. Note that the transient suppressor
should not conduct during double-battery operation, but
must still clamp the input voltage below breakdown of the
converter. Although the LTC1735-1 has a maximum input
voltage of 36V, most applications will be limited to 30V by
the MOSFET BV
DSS
.
V
IN
= 12V
V
OUT
= 1.5V
FIGURE 8 CIRCUIT
1.582V
1.50V
1.418V
15A
0.2A
0A
OUTPUT
VOLTAGE
LOAD
CURRENT
50µs/DIV
1735-1 F09
100mV/DIV
Figure 9. Transient Response Without Active Voltage Positioning
V
IN
= 12V
V
OUT
= 1.5V
FIGURE 8 CIRCUIT
1.582V
1.50V
1.418V
15A
0.2A
0A
OUTPUT
VOLTAGE
LOAD
CURRENT
50µs/DIV
1735-1 F10
100mV/DIV
Figure 10. Transient Response with Active Voltage Positioning
5A/DIV
5A/DIV
Figure 11. Plugging Into the Cigarette Lighter
V
IN
50A I
PK
RATING
1735-1 F11
LTC1735-1
12V
TRANSIENT VOLTAGE
SUPPRESSOR
GENERAL INSTRUMENT
1.5KA24A
24
LTC1735-1
Design Example
As a design example, assume V
IN
= 12V (nominal), V
IN
=
22V (max), V
OUT
= 1.5V, I
MAX
= 12A and f = 300kHz,
R
SENSE
and C
OSC
can immediately be calculated:
R
SENSE
= 50mV/12A = 0.042
C
OSC
= 1.61(10
7
)/(300kHz) – 11pF = 43pF
Assume a 1.2µH inductor and check the actual value of the
ripple current. The following equation is used :
I
V
fL
V
V
L
OUT OUT
IN
=
()()
1
The highest value of the ripple current occurs at the
maximum input and output voltages:
I
V
kHz H
V
V
A
L
=
µ
=
15
300 1 2
1
15
22
39
.
(. )
.
.
The maximum ripple current is 32% of maximum output
current, which is about right.
Next, verify the minimum on-time of 200ns is not violated.
The minimum on-time occurs at maximum V
IN
and mini-
mum V
OUT
.
t
V
Vf
V
V kHz
ns
ON MIN
OUT
IN MAX
()
()
.
()
== =
15
22 300
227
The power dissipation on the topside MOSFET can be
easily estimated. Choosing a Fairchild FDS6612A results
in; R
DS(ON)
= 0.03, C
RSS
= 80pF. At maximum input
voltage with T(estimated) = 50°C:
P
V
V
CC
V A pF kHz
mW
MAIN
=
()
°
[]
()
+
()()( )( )
=
15
22
12 1 0 005 50 25 0 03
1 7 22 12 80 300
568
2
2
.
( . )( ) .
.
Because the duty cycle of the bottom MOSFET is much
greater than the top, two larger MOSFETs must be paral-
leled. Choosing Fairchild FDS6680A MOSFETs yields a
parallel R
DS(ON)
of 0.0065. The total power dissipation
for both bottom MOSFETs, again assuming T = 50°C, is:
P
VV
V
A
mW
SYNC
=
()()
()
=
22 1 5
22
12 1 1 0 0065
959
2
–.
..
Thanks to current foldback, the bottom MOSFET dissipa-
tion in short circuit will be less than under full-load
conditions.
C
IN
is chosen for an RMS current rating of at least 6A at
temperature. C
OUT
is chosen with an ESR of 0.01 for low
output ripple. The output ripple in continuous mode will be
highest at the maximum input voltage. The output voltage
ripple due to ESR is approximately:
V
ORIPPLE
= R
ESR
(I
L
) = 0.01(3.9A) = 39mV
P-P
Since the output voltage is below 2.4V, the output resistive
divider will need to be sized to not only set the output
voltage but also to absorb the SENSE pins specified input
current.
R MAX k
V
VV
k124
08
24 15
21 3()
.
.–.
.=
=
Choosing 1% resistors: R1 = 21k and R2 = 18.7k yields an
output voltage of 1.512V.
PC Board Layout Checklist
When laying out the printed circuit board, the following
checklist should be used to ensure proper operation of the
LTC1735-1. These items are also illustrated graphically in
the layout diagram of Figure 12. Check the following in
your layout:
1. Are the signal and power grounds segregated? The
LTC1735-1 PGND pin should tie to the ground plane
close to the input capacitor(s). The SGND pin should
then connect to PGND and all components that connect
to SGND should make a single-point tie to the SGND
pin. The synchronous MOSFET source should connect
to the input capacitor(s) ground.
2.
Does the V
OSENSE
pin connect directly to the feedback
resistors? The resistive divider R1, R2 must be con-
nected between the (+) plate of C
OUT
and signal ground.
The 47pF capacitor from V
OSENSE
to SGND should be
as close as possible to the LTC1735-1. Be careful
locating the feedback resistors too far away from the
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LTC1735CGN-1#PBF

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Analog Devices / Linear Technology
Description:
Switching Voltage Regulators Hi Eff Sync Buck Sw Reg
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