LTC3872-1
7
38721f
For more information www.linear.com/LTC3872-1
Main Control Loop
The LTC3872-1 is a No R
SENSE
constant frequency, cur-
rent mode controller for DC/DC boost, SEPIC and flyback
converter applications. The LTC3872-1 is distinguished
from conventional current mode controllers because the
current control loop can be closed by sensing the voltage
drop across the power MOSFET switch or across a discrete
sense resistor, as shown in Figures 1 and 2. This No
R
SENSE
sensing technique improves efficiency, increases power
density and reduces the cost of the overall solution.
For circuit operation, please refer to the Block Diagram
of the IC and the Typical Application on the front page. In
normal operation, the power MOSFET is turned on when
the oscillator sets the RS latch and is turned off when the
current comparator resets the latch. The divided-down
output voltage is compared to an internal 1.2V reference by
the error amplifier, which outputs an error signal at the I
TH
pin. The voltage on the I
TH
pin sets the current comparator
input threshold. When the load current increases, a fall in
the FB voltage relative to the reference voltage causes the
I
TH
pin to rise, which causes the current comparator to
trip at a higher peak inductor current value. The average
inductor current will therefore rise until it equals the load
current, thereby maintaining output regulation.
The LTC3872-1 can be used either by sensing the voltage
drop across the power MOSFET or by connecting the SW
pin to a conventional sensing resistor in the source of the
power MOSFET. Sensing the voltage across the power
MOSFET maximizes converter efficiency and minimizes the
component count; the maximum rating for this pin, 60V,
allows MOSFET sensing in a wide output voltage range.
The RUN/SS pin controls whether the IC is enabled or is
in a low current shutdown state. With the RUN/SS pin
below 0.85V, the chip is off and the input supply current is
typically only 8µA. With an external capacitor connected to
the RUN/SS pin an optional external soft-start is enabled.
A 0.7µA trickle current will charge the capacitor, pulling
the RUN/SS pin above shutdown threshold and slowly
ramping RUN/SS to limit the V
ITH
during start-up. Because
the noise on the SW pin could couple into the RUN/SS
pin, disrupting the trickle charge current that charges the
RUN/SS pin, a 1M resistor is recommended to pull-up
the RUN/SS pin when external soft-start is used. When
RUN/SS is driven by an external logic, a minimum of 2.75V
logic is recommended to allow the maximum I
TH
range.
Light Load Operation
Under very light load current conditions, the I
TH
pin volt-
age will be very close to the zero current level of 0.85V.
As the load current decreases further, an internal offset at
the current comparator input will assure that the current
comparator remains tripped (even at zero load current) and
the regulator will start to skip cycles, as it must, in order
to maintain regulation. This behavior allows the regulator
to maintain constant frequency down to very light loads,
resulting in low output ripple as well as low audible noise
and reduced RF inter
ference, while providing high light
load efficiency.
Figure 1. SW Pin (Internal Sense Pin)
Connection for Maximum Efficiency
C
OUT
V
SW
V
OUT
V
IN
GND
L
D
+
NGATE
GND
V
IN
SW
38721 F01
LTC3872-1
C
OUT
V
SW
R
SENSE
V
OUT
V
IN
GND
L
D
+
NGATE
GND
V
IN
SW
38721 F02
LTC3872-1
Figure 2. SW Pin (Internal Sense Pin)
Connection for Sensing Resistor
operaTion
LTC3872-1
8
38721f
For more information www.linear.com/LTC3872-1
Output Voltage Programming
The output voltage is set by a resistor divider according
to the following formula:
V
O
=1.2V 1+
R2
R1
The external resistor divider is connected to the output
as shown in the Typical Application on the front page,
allowing remote voltage sensing.
Application Circuits
A basic LTC3872-1 application circuit is shown on the front
page of this data sheet. External component selection is
driven by the characteristics of the load and the input supply.
Duty Cycle Considerations
For a boost converter operating in a continuous conduc
-
tion mode (CCM), the duty cycle of the main switch is:
D=
V
O
+ V
D
V
IN
V
O
+ V
D
where V
D
is the forward voltage of the boost diode. For
converters where the input voltage is close to the output
voltage, the duty cycle is low and for converters that
develop a high output voltage from a low; voltage input
supply, the duty cycle is high. The minimum on-time of
the LTC3872-1 is typically around 250ns. This time limits
the minimum duty cycle of the LTC3872-1. The maximum
duty cycle of the LTC3872-1 is around 90%. Although
frequency foldback feature of the regular LTC3872 enables
the user to obtain higher output voltage, it also increases
inductor ripple current.
The Peak and Average Input Currents
The control circuit in the LTC3872-1 is measuring the input
current (either by using the R
DS(ON)
of the power MOSFET
or by using a sense resistor in the MOSFET source), so
the output current needs to be reflected back to the input
in order to dimension the power MOSFET properly. Based
on the fact that, ideally, the output power is equal to the
input power, the maximum average input current is:
I
IN(MAX)
=
I
O(MAX)
1–D
MAX
The peak in
pu
t current is:
I
IN(PEAK)
= 1+
χ
2
I
O(MAX)
1–D
MAX
Ripple Current I
L
and the
c
Factor
The constant
c
in the equation above represents the
percentage peak-to-peak ripple current in the inductor,
relative to its maximum value. For example, if 30% ripple
current is chosen, then
c
= 0.30, and the peak current is
15% greater than the average.
For a current mode boost regulator operating in CCM,
slope compensation must be added for duty cycles above
50% in order to avoid subharmonic oscillation. For the
LTC3872-1, this ramp compensation is internal. Having an
internally fixed ramp compensation waveform, however,
does place some constraints on the value of the inductor
and the operating frequency. If too large an inductor is
used, the resulting current ramp (I
L
) will be small relative
to the internal ramp compensation (at duty cycles above
50%), and the converter operation will approach voltage
mode (ramp compensation reduces the gain of the current
loop). If too small an inductor is used, but the converter is
still operating in CCM (continuous conduction mode), the
internal ramp compensation may be inadequate to prevent
subharmonic oscillation. To ensure good current mode gain
and avoid subharmonic oscillation, it is recommended that
the ripple current in the inductor fall in the range of 20%
to 40% of the maximum average current. For example, if
the maximum average input current is 1A, choose an I
L
between 0.2A and 0.4A, and a value
c
between 0.2 and 0.4.
Inductor Selection
Given an operating input voltage range, and having chosen
the operating frequency and ripple current in the inductor,
applicaTions inForMaTion
LTC3872-1
9
38721f
For more information www.linear.com/LTC3872-1
the inductor value can be determined using the following
equation:
L =
V
IN(MIN)
∆I
L
f
D
MAX
where:
∆I
L
=
c
I
O(MAX)
1–D
MAX
Remember that boost converters are not short-circuit
protected. Under a shorted output condition, the induc-
tor current is limited only by the input supply capability.
The minimum required saturation current of the inductor
can be expressed as a function of the duty cycle and the
load current, as follows:
I
L(SA T)
1+
χ
2
I
O(MAX)
1–D
MAX
The saturation current rating for the inductor should be
checked at the minimum input voltage (which results in
the highest inductor current) and maximum output current.
Operating in Discontinuous Mode
Discontinuous mode operation occurs when the load cur
-
rent is low enough to allow the inductor current to run
out during the off-time of the switch. Once the inductor
current
is near zero,
the switch and diode capacitances
resonate with the inductance to form damped ringing at
1MHz to 10MHz. If the off-time is long enough, the drain
voltage will settle to the input voltage.
Depending on the input voltage and the residual energy
in the inductor, this ringing can cause the drain of the
power MOSFET to go below ground where it is clamped
by the body diode. This ringing is not harmful to the IC
and it has been shown not to contribute significantly to
EMI. Any attempt to damp it with a snubber will degrade
the efficiency.
Inductor Core Selection
Once the value for L is known, the type of inductor must
be selected. Actual core loss is independent of core size
for a fixed inductor value, but is very dependent on the
inductance selected. As inductance increases, core losses
go down. Unfortunately, increased inductance requires
more turns of wire and therefore, copper losses will in
-
crease. Generally, there is a tradeoff between core losses
and copper losses that needs to be balanced.
Ferrite designs have very low core losses and are pre
-
ferred at high switching frequencies, so design goals can
concentrate on copper losses and preventing saturation.
Ferrite core material saturates “hard,” meaning that the
inductance collapses rapidly when the peak design current
is exceeded. This results in an abrupt increase in inductor
ripple current and consequently, output voltage ripple. Do
not allow the core to saturate!
Different core
materials and shapes will change the size/
current and price/current relationship of an inductor. Toroid
or shielded pot cores in ferrite or permalloy materials are
small and don’t radiate much energy, but generally cost
more than powdered iron core inductors with similar
characteristics. The choice of which style inductor to use
mainly depends on the price vs size requirements and any
radiated field/EMI requirements. New designs for surface
mount inductors are available from Coiltronics, Coilcraft,
Toko and Sumida.
Power MOSFET Selection
The power MOSFET serves two purposes in the LTC3872-1:
it represents the main switching element in the power
path and its R
DS(ON)
represents the current sensing ele-
ment for the control loop. Important parameters for the
power MOSFET include the drain-to-source breakdown
voltage (BV
DSS
), the threshold voltage (V
GS(TH)
), the on-
resistance (R
DS(ON)
) versus gate-to-source voltage, the
gate-to-source and gate-to-drain charges (Q
GS
and Q
GD
,
respectively), the maximum drain current (I
D(MAX)
) and
the MOSFETs thermal resistances (R
TH(JC)
and R
TH(JA)
).
Logic-level (4.5V V
GS-RATED
) threshold MOSFETs should
be used when input voltage is high, otherwise if low input
voltage operation is expected (e.g., supplying power from
a lithium-ion battery or a 3.3V logic supply), then sublogic-
level (2.5V V
GS-RATED
) threshold MOSFETs should be used.
Pay close attention to the BV
DSS
specifications for the
MOSFETs relative to the maximum actual switch voltage
in the application. Many logic-level devices are limited
applicaTions inForMaTion

LTC3872IDDB-1#TRMPBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Switching Voltage Regulators No RSENSE C Mode Boost DC/DC Cntr
Lifecycle:
New from this manufacturer.
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