LTC3829
16
3829fc
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APPLICATIONS INFORMATION
and the on-time and off-time of the top switch, the value
of the parasitic inductance was determined to be 0.5nH
using the equation:
ESL =
V
ESL(STEP)
I
L
t
ON
t
OFF
t
ON
+
t
OFF
(1)
If the RC time constant is chosen to be close to the
parasitic inductance divided by the sense resistor (L/R),
the resulting waveform looks resistive again, as shown
in Figure 4. For applications using low maximum sense
voltages, check the sense resistor manufacturer’s data
sheet for information about parasitic inductance. In the
absence of data, measure the voltage drop directly across
the sense resistor to extract the magnitude of the ESL step
and use Equation 1 to determine the ESL. However, do not
overfilter. Keep the RC time constant, less than or equal
to the inductor time constant to maintain a high enough
ripple voltage of V
SENSE
. The above generally applies to
high density/high current applications where I
MAX
> 10A
and low values of inductors are used. For applications
500ns/DIV
V
SENSE
20mV/DIV
3829 F03
V
ESL(STEP)
Figure 3. Voltage Waveform Measured
Directly Across the Sense Resistor
500ns/DIV
V
SENSE
20mV/DIV
3829 F04
Figure 4. Voltage Waveform Measured After
the Sense Resistor Filter. C
F
= 1000pF, R
F
= 100Ω
where I
MAX
< 10A, set R
F
to 10Ω and C
F
to 1000pF. This
will provide a good starting point. The filter components
need to be placed close to the IC. The positive and nega
-
tive sense traces need to be routed as a differential pair
and Kelvin connected to the sense resistor.
Inductor DCR Sensing
For applications requiring the highest possible efficiency
at high load currents, the LTC3829 is capable of sensing
the voltage drop across the inductor DCR, as shown in
Figure 2b. The DCR of the inductor represents the small
amount of DC winding resistance of the copper, which
can be less than 1for today’s low value, high current
inductors. In a high current application requiring such an
inductor, conduction loss through a sense resistor would
cost several points of efficiency compared to DCR sensing.
If the external R1|| R2 • C1 time constant is chosen to be
exactly equal to the L/DCR time constant, the voltage drop
across the external capacitor is equal to the drop across
the inductor DCR multiplied by R2/(R1 + R2). R2 scales the
voltage across the sense terminals
for applications where
the
DCR is greater than the target sense resistor value.
To properly dimension the external filter components, the
DCR of the inductor must be known. It can be measured
using a good RLC meter, but the DCR tolerance is not
always the same and varies with temperature; consult
the manufacturers’ data sheets for detailed information.
Using the inductor ripple current value from the Inductor
Value Calculation section, the target sense resistor value is:
R
SENSE(EQUIV)
=
V
SENSE(MAX)
I
MAX
+
I
L
2
To ensure that the application will deliver full load current
over the full operating temperature range, choose the
minimum value for the Maximum Current Sense Threshold
(V
SENSE(MAX)
) in the Electrical Characteristics table (25mV,
45mV or 68mV, depending on the state of the I
LIM
pin).
Next, determine the DCR of the inductor. Where provided,
use the manufacturer’s maximum value, usually given at
20°C. Increase this value to account for the temperature
coefficient of resistance, which is approximately 0.4%/°C.
LTC3829
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APPLICATIONS INFORMATION
A conservative value for T
L(MAX)
is 100°C. To scale the
maximum inductor DCR to the desired sense resistor
value, use the divider ratio:
R
D
=
R
SENSE(EQUIV)
DCR
(MAX)
at T
L(MAX)
C1 is usually selected to be in the range of 0.047µF to
0.47µF. This forces R1|| R2 to around 2k, reducing error
that might have been caused by the SENSE
+
pins’ ±1µA
current. T
L(MAX)
is the maximum inductor temperature.
The equivalent resistance R1|| R2 is scaled to the room
temperature inductance and maximum DCR:
R1||R2=
L
(DCR at 20
°
C) C1
The sense resistor values are:
R1=
R1||R2
R
D
; R2=
R1R
D
1
R
D
The LTC3829 also features a DCR temperature compen-
sation circuit by using a NTC temperature sensor. See
the
Inductor DCR Sensing Temperature Compensation
section for details.
The maximum power loss in R1 is related to duty cycle,
and will occur in continuous mode at the maximum input
voltage:
P
LOSS
R1=
V
IN(MAX)
V
OUT
( )
V
OUT
R1
Ensure that R1 has a power rating higher than this value.
If high efficiency is necessary at light loads, consider this
power loss when deciding whether to use DCR sensing or
sense resistors. Light load power loss can be modestly
higher with a DCR network than with a sense resistor,
due to the extra switching losses incurred through R1.
However, DCR sensing eliminates a sense resistor, reduces
conduction losses and provides higher efficiency at heavy
loads. Peak efficiency is about the same with either method.
To maintain a good signal-to-noise ratio for the current
sense signal, use a minimum V
SENSE
of 10mV for duty
cycles less than 40%. For a DCR sensing application, the
actual ripple voltage will be determined by the equation:
V
SENSE
=
V
IN
V
OUT
R1C1
V
OUT
V
IN
f
OSC
Inductor DCR Sensing Temperature Compensation
and the ITEMP Pin
Inductor DCR current sensing provides a lossless method
of sensing the instantaneous current. Therefore, it can
provide higher efficiency for applications of high output
currents. However, the DCR of the inductor, which is the
small amount of DC winding resistance of the copper,
typically has a positive temperature coefficient. As the
temperature of the inductor rises, its DCR value increases.
The current limit of the controller is therefore reduced.
The LTC3829 offers a method to counter this inaccuracy
by allowing the user to place an NTC temperature sensing
resistor near the inductor to actively correct this error. The
ITEMP pin, when left floating, is at a voltage around 5V and
DCR temperature compensation is disabled. The ITEMP
pin has a constant 10µA precision current flowing out the
pin. By connecting an NTC resistor from the ITEMP pin
to SGND, the maximum current sense threshold can be
varied over temperature according the following equation:
V
SENSEMAX(ADJ )
= V
SENSE(MAX)
1.8– V
ITEMP
1.3
where:
V
SENSEMAX(ADJ)
is the maximum adjusted current sense
threshold.
V
SENSE(MAX)
is the maximum current sense threshold
specified in the Electrical Characteristics table. It is
typically 75mV, 50mV or 30mV depending on the set
-
ting I
LIM
pins.
V
ITEMP
is the voltage of the ITEMP pin.
The valid voltage range for DCR temperature compensa-
tion on
the ITEMP pin is between 0.5V to 0.2V, with 0.5V
or
above being no DCR temperature correction and 0.2V
the maximum correction. However, if the duty cycle of the
controller is less than 25%, the ITEMP range is extended
from 0.5V to 0V.
LTC3829
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APPLICATIONS INFORMATION
The NTC resistor has a negative temperature coefficient,
meaning its value decreases as temperature rises. The
V
ITEMP
voltage, therefore, decreases as temperature in-
creases and in turn, the V
SENSEMAX(ADJ)
will increase to
compensate the DCR temperature coefficient. The NTC
resistor, however, is nonlinear and the user can linear
-
ize its value by building a resistor network with regular
resistors. Consult the NTC manufacture data sheets for
detailed information.
Another use for the ITEMP pins, in addition to NTC com
-
pensated DCR
sensing, is adjusting V
SENSE(MAX)
to values
between the nominal values of 30mV, 50mV and 75mV for
a more precise current limit. This is done by applying a
voltage less than 0.5V to the ITEMP pin. V
SENSE(MAX)
will
be varied per the previous equation and the same duty cycle
limitations will apply. The current limit can be adjusted using
this method either with a sense resistor or DCR sensing.
NTC Compensated DCR Sensing
For DCR sensing applications where a more accurate
current limit is required, a network consisting of an NTC
thermistor placed from the ITEMP pin to ground will
provide correction of the current limit over temperature.
Figure 2b shows this
network. Resistors R
S
and R
P
will
linearize the impedance the ITEMP pin sees. To implement
NTC compensated DCR sensing, design the DCR sense
filter network per the same procedure mentioned in the
previous selection, except calculate the divider components
using the room temperature value of the DCR. For a single
output rail operating from one phase:
1. Set the ITEMP pin resistance to 50k at 25°C. With
10µA flowing out of the ITEMP pin, the voltage on the
ITEMP pin will be 0.5V at room temperature. Current
limit correction will occur for inductor temperatures
greater than 25°C.
2. Calculate the ITEMP pin resistance and the maximum
inductor temperature which is typically 100°C. Use the
equations:
R
ITEMP100C
=
V
ITEMP100C
10μA
V
ITEMP100C
= 0.5V1.3
I
MAX
DCR(MAX)R2/ R1+R2
( )
100°C25°C
( )
0.4/100
V
SENSE(MAX)
Calculate the values for R
P
and R
S
. A simple method is to
graph the following R
S
versus R
P
equations with R
S
on
the y-axis and R
P
on the x-axis.
R
S
= R
ITEMP25C
– R
NTC25C
|| R
P
R
S
= R
ITEMP100C
– R
NTC100C
|| R
P
Next, find the value of R
P
that satisfies both equations
which will be the point where the curves intersect. Once
R
P
is known, solve for R
S
.
The resistance of the NTC thermistor can be obtained
from the vendor’s data sheet either in the form of graphs,
tabulated data or formulas. The approximate value for the
NTC thermistor for a given temperature can be calculated
from the following equation:
R=R
O
exp B
1
T
+
273
1
T
O
+
273
where:
R = resistance at temperature T, which is in degrees C
R
O
= resistance at temperature T
O
, typically 25°C
B = B-constant of the thermistor.
Figure 5 shows a typical resistance curve for a 100k
thermistor and the ITEMP pin network over temperature.
Starting values for the NTC compensation network are
listed below:
NTC R
O
= 100k
R
S
= 20k
R
P
= 50k
But, the final values should be calculated using the above
equations and checked at 25°C and 100°C.

LTC3829IUHF#TRPBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Switching Voltage Regulators 3-Phase, Synchronous Regulators with Diffamp
Lifecycle:
New from this manufacturer.
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