LINER LTC3872ETS8

LTC3872
No RSENSE
Current Mode Boost
DC/DC Controller
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FEATURES
DESCRIPTIO
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No Current Sense Resistor Required
VOUT up to 60V
Constant Frequency 550kHz Operation
Internal Soft-Start and Optional External Soft-Start
Adjustable Current Limit
Pulse Skipping at Light Load
VIN Range: 2.75V to 9.8V
±1.5% Voltage Reference Accuracy
Current Mode Operation for Excellent Line and Load
Transient Response
Low Profile (1mm) SOT-23 and 3mm × 2mm DFN
Packages
The LTC®3872 is a constant frequency current mode
boost DC/DC controller that drives an N-channel power
MOSFET and requires very few external components. The
No RSENSETM architecture eliminates the need for a sense
resistor, improves efficiency and saves board space.
Telecom Power Supplies
42V Automotive Systems
24V Industrial Controls
IP Phone Power Supplies
, LT, LTC and LTM are registered trademarks of Linear Technology Corporation.
No RSENSE and ThinSOT are trademarks of Linear Technology Corporation.
All other trademarks are the property of their respective owners.
Protected by U.S. Patents including 6498466, 6611131, 5731694.
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APPLICATIO S
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The LTC3872 provides excellent AC and DC load and line
regulation with ±1.5% output voltage accuracy. It incorporates an undervoltage lockout feature that shuts down
the device when the input voltage falls below 2.3V.
High switching frequency of 550kHz allows the use of a
small inductor. The LTC3872 is available in an 8-lead low
profile (1mm) ThinSOTTM package and 8-pin 3mm × 2mm
DFN package.
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TYPICAL APPLICATIO
High Efficiency 3.3V Input, 5V Output Boost Converter
100
17.4k
ITH
47pF
VIN
VIN
3.3V
VIN
SW
GND
VFB RUN/SS NGATE
M1
VOUT
5V
2A
1nF
34.8k
1%
1
70
100μF
×2
60
0.1
50
40
30
POWER LOSS (W)
1μH
D1
LTC3872
11k
1%
80
10μF
IPRG
10
90
EFFICIENCY (%)
1.8nF
Efficiency and Power Loss vs Load Current
0.01
20
10
3872 TA01
0
1
10
100
1000
LOAD CURRENT (mA)
0.001
10000
3872 TA01b
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LTC3872
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ABSOLUTE
AXI U RATI GS
(Note 1)
Input Supply Voltage (VIN), RUN/SS .......... –0.3V to 10V
IPRG Voltage..................................–0.3V to (VIN + 0.3V)
VFB, ITH Voltages ....................................... –0.3V to 2.4V
SW Voltage ................................................ –0.3V to 60V
Operating Temperature Range (Note 2) ... –40°C to 85°C
Junction Temperature (Note 3) ............................. 125°C
Storage Temperature Range................... –65°C to 125°C
Lead Temperature (Soldering, 10 sec)
TS8 Package ......................................................... 300°C
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PACKAGE/ORDER I FOR ATIO
TOP VIEW
TOP VIEW
IPRG 1
ITH 2
VFB 3
GND 4
8 SW
7 RUN/SS
6 VIN
5 NGATE
ORDER PART NUMBER
LTC3872ETS8
8
VFB 2
7
VIN
6
RUN/SS
5
SW
ITH 3
9
IPRG 4
TS8 PACKAGE
8-LEAD PLASTIC TSOT-23
TJMAX = 125°C, θJA = 230°C/W
NGATE
GND 1
DDB PACKAGE
8-LEAD (3mm × 2mm) PLASTIC DFN
TJMAX = 125°C, θJA = 76°C/W
EXPOSED PAD (PIN 9) IS GND MUST BE SOLDERED TO PCB
TS8 PART MARKING
ORDER PART NUMBER
DDB PART MARKING
LCGB
LTC3872EDDB
LCHT
Order Options Tape and Reel: Add #TR Lead Free: Add #PBF Lead Free Tape and Reel: Add #TRPBF
Lead Free Part Marking: http://www.linear.com/leadfree/
Consult LTC Marketing for parts specified with wider operating temperature ranges.
ELECTRICAL CHARACTERISTICS
The ● denotes the specifications which apply over the full operating
temperature range, otherwise specifications are at TA = 25°C. VIN = 4.2V unless otherwise noted. (Note 2)
PARAMETER
CONDITIONS
MIN
●
Input Voltage Range
TYP
2.75
MAX
UNITS
9.8
V
250
8
20
400
20
35
μA
μA
μA
Input DC Supply Current
Normal Operation
Shutdown
UVLO
Typicals at VIN = 4.2V (Note 4)
2.75V ≤ VIN ≤ 9.8V, VITH = 1.3V
VRUN/SS = 0V
VIN < UVLO Threshold, VRUN = 0V
Undervoltage Lockout Threshold
VIN Rising
VIN Falling
●
●
2.3
2.05
2.45
2.3
2.75
2.55
V
V
Shutdown Threshold (at RUN/SS)
VRUN/SS Falling
VRUN/SS Rising
●
0.6
0.7
0.85
0.95
1.05
1.15
V
Regulated Feedback Voltage
(Note 5)
●
1.182
1.2
1.218
V
Feedback Voltage Line Regulation
2.75V < VIN < 9V (Note 5)
0.14
mV/V
Feedback Voltage Load Regulation
VITH = 1.6V (Note 5)
VITH = 1V (Note 5)
0.05
–0.05
%
%
VFB Input Current
(Note 5)
RUN/SS Pull Up Current
VRUN/SS = 0
0.35
25
50
nA
0.7
1.25
μA
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LTC3872
ELECTRICAL CHARACTERISTICS
The ● denotes the specifications which apply over the full operating
temperature range, otherwise specifications are at TA = 25°C. VIN = 4.2V unless otherwise noted. (Note 2)
PARAMETER
CONDITIONS
MIN
TYP
MAX
UNITS
Oscillator Frequency
Normal Operation
VFB = 1.2V
500
550
650
kHz
Gate Drive Rise Time
CLOAD = 3000pF
Gate Drive Fall Time
CLOAD = 3000pF
Peak Current Sense Voltage
●
●
●
IPRG = GND (Note 6)
IPRG = Float
IPRG = VIN
80
145
240
Default Internal Soft-Start Time
40
ns
40
ns
100
170
270
120
195
290
mV
mV
mV
1
Note 1: Stresses beyond those listed under Absolute Maximum Ratings
may cause permanent damage to the device. Exposure to any Absolute
Maximum Rating condition for extended periods may affect device
reliability and lifetime.
Note 2: The LTC3872E is guaranteed to meet performance specifications
from 0°C to 85°C junction temperature. Specifications over the –40°C
to 85°C operating junction temperature range are assured by design,
characterization and correlation with statistical process controls.
Note 3: TJ is calculated from the ambient temperature TA and power
dissipation PD according to the following formula:
TJ = TA + (PD • 110°C/W)
Note 4: The dynamic input supply current is higher due to power MOSFET
gate charging (QG • fOSC). See Applications Information.
Note 5: The LTC3872 is tested in a feedback loop which servos VFB to
the reference voltage with the ITH pin forced to the midpoint of its voltage
range (0.7V ≤ VITH ≤ 1.9V, midpoint = 1.3V).
Note 6: Rise and fall times are measured at 10% and 90% levels.
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TYPICAL PERFOR A CE CHARACTERISTICS
FB Voltage vs Temperature
TA = 25°C unless otherwise noted.
FB Voltage Line Regulation
1.25
1.2025
1.24
1.2020
1.23
1.2015
ms
ITH Voltage vs RUN/SS Voltage
2.5
1.22
1.21
ITH VOLTAGE (V)
FB VOLTAGE (V)
FB VOLTAGE (V)
2.0
1.2010
1.2005
1.20
1.2000
1.19
1.1995
1.5
1.0
0.5
1.18
–60 –40 –20
1.1990
0
20
40 60
TEMPERATURE (˚C)
80
100
0
0
1
2
3
4
5
6
7
8
9
10
VIN (V)
3872 G01
3872 G02
VIN = 2.5V
VIN = 3.3V
VIN = 5V
0
0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
RUN VOLTAGE (V)
3872 G03
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LTC3872
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TYPICAL PERFOR A CE CHARACTERISTICS
Shutdown IQ vs VIN
TA = 25°C unless otherwise noted.
Shutdown IQ vs Temperature
14
Frequency vs Duty Cycle
600
20
500
15
SHUTDOWN IQ (μA)
10
8
6
4
FREQUENCY (kHz)
SHUTDOWN MODE IQ (μA)
12
10
200
100
0
–50 –25
0
2
3
4
5
6
8
7
9
10
0
0
VIN (V)
0
25 50 75 100 125 150
TEMPERATURE (°C)
10 20 30 40 50 60 70 80 90 100
DUTY CYCLE (%)
3278 G06
3872 G05
3872 G04
Gate Drive Rise and Fall Time
vs CLOAD
RUN/SS Threshold vs
Temperature
RUN/SS Threshold vs VIN
100
1.0
1.00
90
0.98
RISING
RISE TIME
60
FALL TIME
50
40
30
0.94
0.92
0.90
0.88
FALLING
20
RISING
0.9
0.96
RUN THRESHOLDS (V)
70
RUN THRESHOLDS (V)
80
TIME (ns)
300
5
2
0.8
FALLING
0.7
0.6
0.86
10
0
400
0
2000
6000
4000
CLOAD (pF)
8000
10000
0.84
0
2
4
6
VIN (V)
8
10
0
25 50
75 100 125 150
TEMPERATURE (°C)
3872 G09
Maximum Sense Threshold
vs Temperature
Frequency vs Temperature
300
MAXIMUM SENSE THRESHOLD (mV)
600
575
FREQUENCY (kHz)
0.5
–50 –25
3872 G08
3872 G07
550
525
500
–50
12
–5
0
25 50 75 100 125 150
TEMPERATURE (°C)
3872 G10
IPRG = VIN
250
200
IPRG = FLOAT
150
100
IPRG = GND
50
0
–50 –30 –10 10 30 50 70 90 110 130 150
TEMPERATURE (°C)
3872 G11
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LTC3872
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(TS8/DD8)
IPRG (Pin 1/Pin 4): Current Sense Limit Select Pin.
ITH (Pin 2/Pin 3): It serves as the error amplifier compensation point. Nominal voltage range for this pin is
0.7V to 1.9V.
VFB (Pin 3/Pin 2): Receives the feedback voltage from an
external resistor divider across the output.
GND (Pin 4/Pin 1): Ground Pin.
NGATE (Pin 5/Pin 8): Gate Drive for the External N-Channel
MOSFET. This pin swings from 0V to VIN.
RUN/SS (Pin 7/Pin 6): Shutdown and external soft-start
pin. In shutdown, all functions are disabled and the NGATE
pin is held low.
SW (Pin 8/Pin 5): Switch node connection to inductor and
current sense input pin through external slope compensation resistor. Normally, the external N-channel MOSFET’s
drain is connected to this pin.
Exposed Pad (NA/Pin 9): Ground. Must be soldered to PCB
for electrical contact and rated thermal performance.
VIN (Pin 6/Pin 7): Supply Pin. This pin must be closely
decoupled to GND (Pin 4).
FUNCTIONAL DIAGRAM
VIN
GND
UV
UNDERVOLTAGE
LOCKOUT
VOLTAGE
REFERENCE
SW
SLOPE
COMPENSATION
1.2V
SHUTDOWN
COMPARATOR
–
IPRG
+
CURRENT
COMPARATOR
0.7μA
ILIM
+
SHDN
ITH
BUFFER
RS
LATCH
–
RUN/SS
R
S
Q
CURRENT LIMIT
CLAMP
550kHz
OSCILLATOR
VIN
NGATE
SWITCHING
LOGIC CIRCUIT
INTERNAL
SOFT-START
RAMP
VFB
–
ERROR
AMPLIFIER
1.2V
+
ITH
3872 FD
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LTC3872
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OPERATIO
Main Control Loop
The LTC3872 is a No RSENSE constant frequency, current
mode controller for DC/DC boost, SEPIC and flyback
converter applications. The LTC3872 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 RSENSE
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 ITH
pin. The voltage on the ITH 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
ITH 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 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
L
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 10μA. 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 VITH 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 ITH range.
Light Load Operation
Under very light load current conditions, the ITH pin voltage 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 interference, while providing high light
load efficiency.
D
L
VIN
VOUT
VIN
LTC3872
VOUT
VSW
VIN
+
SW
D
VIN
+
NGATE
COUT
VSW
COUT
LTC3872
SW
NGATE
GND
GND
GND
RSENSE
GND
3872 F01
Figure 1. SW Pin (Internal Sense Pin)
Connection for Maximum Efficiency
3872 F02
Figure 2. SW Pin (Internal Sense Pin)
Connection for Sensing Resistor
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APPLICATIO S I FOR ATIO
Output Voltage Programming
The Peak and Average Input Currents
The output voltage is set by a resistor divider according
to the following formula:
The control circuit in the LTC3872 is measuring the input
current (either by using the RDS(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:
⎛ R2 ⎞
VO = 1.2V • ⎜ 1+ ⎟
⎝ 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 application circuit is shown on the front
page of this datasheet. 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 conduction
mode (CCM), the duty cycle of the main switch is:
⎛V +V –V ⎞
D = ⎜ O D IN ⎟
⎝ VO + VD ⎠
where VD 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 LTC3872 has a built-in circuit that
allows the extension of the maximum duty cycle while
keeping the minimum switch off time unchanged. This
is accomplished by reducing the clock frequency when
the duty cycle is close to 80%. This function allows the
user to obtain high output voltages from low input supply
voltages. The shift of frequency with duty cycle is shown
in the Typical Performance Characteristics section.
IIN(MAX) =
IO(MAX)
1 – DMAX
The peak input current is:
⎛ χ ⎞ IO(MAX)
IIN(PEAK) = ⎜ 1 + ⎟ •
⎝ 2 ⎠ 1 – DMAX
Ripple Current IL and the χ Factor
The constant χ 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 χ = 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, 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 (IL) 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
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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 IL between 0.2A and 0.4A, and a value χ
between 0.2 and 0.4.
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
Inductor Selection
Given an operating input voltage range, and having chosen
the operating frequency and ripple current in the inductor,
the inductor value can be determined using the following
equation:
L=
VIN(MIN)
ΔIL • f
• DMAX
where :
ΔIL = χ •
IO(MAX )
1– DMAX
Remember that boost converters are not short-circuit
protected. Under a shorted output condition, the inductor
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:
⎛ χ ⎞ IO(MAX)
IL(SAT) ≥ ⎜ 1 + ⎟ •
⎝ 2 ⎠ 1 – DMAX
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 current 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
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 increase. 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 preferred 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:
it represents the main switching element in the power path
and its RDS(ON) represents the current sensing element
for the control loop. Important parameters for the power
MOSFET include the drain-to-source breakdown voltage
(BVDSS), the threshold voltage (VGS(TH)), the on-resistance
(RDS(ON)) versus gate-to-source voltage, the gate-to-source
and gate-to-drain charges (QGS and QGD, respectively),
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LTC3872
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the maximum drain current (ID(MAX)) and the MOSFET’s
thermal resistances (RTH(JC) and RTH(JA)). Logic-level (4.5V
VGS-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
VGS-RATED) threshold MOSFETs should be used.
VSENSE(MAX) is the maximum voltage drop across the
power MOSFET. VSENSE(MAX) is typically 270mV, 170mV
and 100mV. It is reduced with increasing duty cycle as
shown in Figure 3. The ρT term accounts for the temperature
coefficient of the RDS(ON) of the MOSFET, which is typically
0.4%/°C. Figure 4 illustrates the variation of normalized
RDS(ON) over temperature for a typical power MOSFET.
Pay close attention to the BVDSS specifications for the
MOSFETs relative to the maximum actual switch voltage in
the application. Many logic-level devices are limited to 30V
or less, and the switch node can ring during the turn-off of
the MOSFET due to layout parasitics. Check the switching
waveforms of the MOSFET directly across the drain and
source terminals using the actual PC board layout (not
just on a lab breadboard!) for excessive ringing.
Another method of choosing which power MOSFET to
use is to check what the maximum output current is for a
given RDS(ON), since MOSFET on-resistances are available
in discrete values.
1 – DMAX
IO(MAX) = VSENSE(MAX) •
⎛ χ⎞
⎜ 1 + ⎟ • RDS(ON) • ρT
⎝ 2⎠
During the switch on-time, the control circuit limits the
maximum voltage drop across the power MOSFET to
about 270mV, 100mV and 170mV at low duty cycle with
IPRG tied to VIN, GND, or left floating respectively. The
peak inductor current is therefore limited to (270mV,
170mV and 100mV)/RDS(ON) depending on the status of
the IPRG pin.
It is worth noting that the 1 – DMAX relationship between
IO(MAX) and RDS(ON) can cause boost converters with a
wide input range to experience a dramatic range of maximum input and output current. This should be taken into
consideration in applications where it is important to limit
the maximum current drawn from the input supply.
The relationship between the maximum load current, duty
cycle and the RDS(ON) of the power MOSFET is:
In order to calculate the junction temperature of the power
MOSFET, the power dissipated by the device must be known.
This power dissipation is a function of the duty cycle, the
load current and the junction temperature itself (due to
the positive temperature coefficient of its RDS(ON)). As a
2.0
300
IPRG = HIGH
ρT NORMALIZED ON RESISTANCE
MAXIMUM CURRENT SENSE VOLTAGE (mV)
1 – DMAX
RDS(ON) ≤ VSENSE(MAX) •
⎛ χ⎞
⎜ 1 + ⎟ • IO(MAX) • ρT
⎝ 2⎠
Calculating Power MOSFET Switching and Conduction
Losses and Junction Temperatures
250
200
IPRG = FLOAT
150
100
IPRG = LOW
50
0
1
20
40
60
DUTY CYCLE (%)
80
100
3872 G03
Figure 3. Maximum SENSE Threshold Voltage vs Duty Cycle
1.5
1.0
0.5
0
– 50
50
100
0
JUNCTION TEMPERATURE (°C)
150
3872 F04
Figure 4. Normalized RDS(ON) vs Temperature
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result, some iterative calculation is normally required to
determine a reasonably accurate value. Since the controller
is using the MOSFET as both a switching and a sensing
element, care should be taken to ensure that the converter
is capable of delivering the required load current over all
operating conditions (line voltage and temperature), and
for the worst-case specifications for VSENSE(MAX) and the
RDS(ON) of the MOSFET listed in the manufacturer’s data
sheet.
The power dissipated by the MOSFET in a boost converter
is:
2
⎛ IO(MAX ) ⎞
PFET = ⎜
• RDS(ON) • DMAX • ρ T
⎝ 1 – DMAX ⎟⎠
IO(MAX )
+ k • VO1 . 85 •
•C
•f
(1 – DMAX ) RSS
⎛ χ ⎞ IO(MAX)
ID(PEAK) = IL(PEAK) = ⎜ 1 + ⎟ •
⎝ 2 ⎠ 1 – DMAX
The power dissipated by the diode is:
PD = IO(MAX) • VD
and the diode junction temperature is:
TJ = TA + PD • RTH(JA)
The RTH(JA) to be used in this equation normally includes
the RTH(JC) for the device plus the thermal resistance from
the board to the ambient temperature in the enclosure.
Remember to keep the diode lead lengths short and to
observe proper switch-node layout (see Board Layout
Checklist) to avoid excessive ringing and increased dissipation.
Output Capacitor Selection
I2R
The first term in the equation above represents the
losses in the device, and the second term, the switching
losses. The constant, k = 1.7, is an empirical factor inversely
related to the gate drive current and has the dimension
of 1/current.
From a known power dissipated in the power MOSFET, its
junction temperature can be obtained using the following
formula:
TJ = TA + PFET • RTH(JA)
The RTH(JA) to be used in this equation normally includes
the RTH(JC) for the device plus the thermal resistance from
the case to the ambient temperature (RTH(CA)). This value
of TJ can then be compared to the original, assumed value
used in the iterative calculation process.
Output Diode Selection
To maximize efficiency, a fast switching diode with low
forward drop and low reverse leakage is desired. The output
diode in a boost converter conducts current during the
switch off-time. The peak reverse voltage that the diode
must withstand is equal to the regulator output voltage.
The average forward current in normal operation is equal
to the output current, and the peak current is equal to the
peak inductor current.
Contributions of ESR (equivalent series resistance), ESL
(equivalent series inductance) and the bulk capacitance
must be considered when choosing the correct component
for a given output ripple voltage. The effects of these three
parameters (ESR, ESL and bulk C) on the output voltage
ripple waveform are illustrated in Figure 5e for a typical
boost converter.
The choice of component(s) begins with the maximum
acceptable ripple voltage (expressed as a percentage of
the output voltage), and how this ripple should be divided
between the ESR step and the charging/discharging ΔV.
For the purpose of simplicity we will choose 2% for the
maximum output ripple, to be divided equally between the
ESR step and the charging/discharging ΔV. This percentage ripple will change, depending on the requirements
of the application, and the equations provided below can
easily be modified.
For a 1% contribution to the total ripple voltage, the ESR
of the output capacitor can be determined using the following equation:
ESRCOUT ≤
0.01 • VO
IIN(PEAK)
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APPLICATIO S I FOR ATIO
where:
⎛ χ ⎞ IO(MAX)
IIN(PEAK)= ⎜ 1 + ⎟ •
⎝ 2 ⎠ 1 – DMAX
For the bulk C component, which also contributes 1% to
the total ripple:
COUT ≥
IO(MAX)
0.01 • VO • f
For many designs it is possible to choose a single capacitor
type that satisfies both the ESR and bulk C requirements
for the design. In certain demanding applications, however,
the ripple voltage can be improved significantly by connecting two or more types of capacitors in parallel. For
example, using a low ESR ceramic capacitor can minimize
the ESR step, while an electrolytic capacitor can be used
to supply the required bulk C.
Once the output capacitor ESR and bulk capacitance have
been determined, the overall ripple voltage waveform
should be verified on a dedicated PC board (see Board
Layout section for more information on component placement). Lab breadboards generally suffer from excessive
series inductance (due to inter-component wiring), and
these parasitics can make the switching waveforms look
significantly worse than they would be on a properly
designed PC board.
capacitor available from Sanyo has the lowest product of
ESR and size of any aluminum electrolytic, at a somewhat
higher price.
In surface mount applications, multiple capacitors may
have to be placed in parallel in order to meet the ESR or
RMS current handling requirements of the application.
Aluminum electrolytic and dry tantalum capacitors are
both available in surface mount packages. In the case of
tantalum, it is critical that the capacitors have been surge
tested for use in switching power supplies. An excellent
choice is AVX TPS series of surface mount tantalum. Also,
ceramic capacitors are now available with extremely low
ESR, ESL and high ripple current ratings.
L
VIN
VO – VIN(MIN)
VIN(MIN)
SW
VOUT
COUT
RL
5a. Circuit Diagram
IIN
IL
5b. Inductor and Input Currents
ISW
tON
The output capacitor in a boost regulator experiences
high RMS ripple currents, as shown in Figure 6. The RMS
output capacitor ripple current is:
IRMS(COUT) ≈ IO(MAX) •
D
5c. Switch Current
ID
tOFF
IO
5d. Diode and Output Currents
Note that the ripple current ratings from capacitor manufacturers are often based on only 2000 hours of life. This
makes it advisable to further derate the capacitor or to
choose a capacitor rated at a higher temperature than
required. Several capacitors may also be placed in parallel
to meet size or height requirements in the design.
Manufacturers such as Nichicon, United Chemicon and
Sanyo should be considered for high performance throughhole capacitors. The OS-CON semiconductor dielectric
ΔVCOUT
VOUT
(AC)
ΔVESR
RINGING DUE TO
TOTAL INDUCTANCE
(BOARD + CAP)
5e. Output Voltage Ripple Waveform
Figure 5. Switching Waveforms for a Boost Converter
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APPLICATIO S I FOR ATIO
Input Capacitor Selection
The input capacitor of a boost converter is less critical
than the output capacitor, due to the fact that the inductor
is in series with the input and the input current waveform
is continuous (see Figure 5b). The input voltage source
impedance determines the size of the input capacitor,
which is typically in the range of 10μF to 100μF. A low ESR
capacitor is recommended, although it is not as critical as
for the output capacitor.
The RMS input capacitor ripple current for a boost converter is:
IRMS(CIN) = 0.3 •
VIN(MIN)
• DMAX
L•f
Please note that the input capacitor can see a very high
surge current when a battery is suddenly connected to
the input of the converter and solid tantalum capacitors
can fail catastrophically under these conditions. Be sure
to specify surge-tested capacitors!
Efficiency Considerations: How Much Does VDS
Sensing Help?
The efficiency of a switching regulator is equal to the output
power divided by the input power (×100%).
Percent efficiency can be expressed as:
% Efficiency = 100% – (L1 + L2 + L3 + …),
where L1, L2, etc. are the individual loss components as a
percentage of the input power. It is often useful to analyze
individual losses to determine what is limiting the efficiency
and which change would produce the most improvement.
Although all dissipative elements in the circuit produce
losses, four main sources usually account for the majority
of the losses in LTC3872 application circuits:
1. The supply current into VIN. The VIN current is the
sum of the DC supply current IQ (given in the Electrical
Characteristics) and the MOSFET driver and control currents. The DC supply current into the VIN pin is typically
about 250μA and represents a small power loss (much
less than 1%) that increases with VIN. The driver current
results from switching the gate capacitance of the power
MOSFET; this current is typically much larger than the
DC current. Each time the MOSFET is switched on and
then off, a packet of gate charge QG is transferred from
VIN to ground. The resulting dQ/dt is a current that must
be supplied to the Input capacitor by an external supply.
If the IC is operating in CCM:
IQ(TOT) ≈ IQ = f • QG
PIC = VIN • (IQ + f • QG)
2. Power MOSFET switching and conduction losses. The
technique of using the voltage drop across the power
MOSFET to close the current feedback loop was chosen
because of the increased efficiency that results from not
having a sense resistor. The losses in the power MOSFET
are equal to:
2
⎛ IO(MAX ) ⎞
PFET = ⎜
• RDS(ON) • DMAX • ρ T
⎝ 1 – DMAX ⎟⎠
IO(MAX )
• CRSS • f
+ k • VO1 . 85 •
1 – DMAX
The I2R power savings that result from not having a
discrete sense resistor can be calculated almost by inspection.
2
⎛ IO(MAX ) ⎞
PR(SENSE) = ⎜
• R SENSE • DMAX
⎝ 1 – DMAX ⎟⎠
To understand the magnitude of the improvement with
this VDS sensing technique, consider the 3.3V input, 5V
output power supply shown in the Typical Application on
the front page. The maximum load current is 7A (10A peak)
and the duty cycle is 39%. Assuming a ripple current of
40%, the peak inductor current is 13.8A and the average
is 11.5A. With a maximum sense voltage of about 140mV,
the sense resistor value would be 10mΩ, and the power
dissipated in this resistor would be 514mW at maximum
output current. Assuming an efficiency of 90%, this
sense resistor power dissipation represents 1.3% of the
overall input power. In other words, for this application,
the use of VDS sensing would increase the efficiency by
approximately 1.3%.
For more details regarding the various terms in these
equations, please refer to the section Boost Converter:
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12
LTC3872
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APPLICATIO S I FOR ATIO
Power MOSFET Selection.
3. The losses in the inductor are simply the DC input current squared times the winding resistance. Expressing this
loss as a function of the output current yields:
2
⎛ IO(MAX ) ⎞
PR( WINDING) = ⎜
• RW
⎝ 1 – DMAX ⎟⎠
4. Losses in the boost diode. The power dissipation in the
boost diode is:
PDIODE = IO(MAX) • VD
The boost diode can be a major source of power loss in
a boost converter. For the 3.3V input, 5V output at 7A example given above, a Schottky diode with a 0.4V forward
voltage would dissipate 2.8W, which represents 7% of the
input power. Diode losses can become significant at low
output voltages where the forward voltage is a significant
percentage of the output voltage.
5. Other losses, including CIN and CO ESR dissipation and
inductor core losses, generally account for less than 2%
of the total additional loss.
Checking Transient Response
The regulator loop response can be verified by looking at
the load transient response. Switching regulators generally
take several cycles to respond to an instantaneous step
in resistive load current. When the load step occurs, VO
immediately shifts by an amount equal to (ΔILOAD)(ESR),
and then CO begins to charge or discharge (depending on
the direction of the load step) as shown in Figure 6. The
regulator feedback loop acts on the resulting error amp
output signal to return VO to its steady-state value. During
this recovery time, VO can be monitored for overshoot or
ringing that would indicate a stability problem.
A second, more severe transient can occur when connecting loads with large (>1μF) supply bypass capacitors.
The discharged bypass capacitors are effectively put in
parallel with CO, causing a nearly instantaneous drop in
VO. No regulator can deliver enough current to prevent
this problem if the load switch resistance is low and it is
driven quickly. The only solution is to limit the rise time
of the switch drive in order to limit the inrush current
di/dt to the load.
Boost Converter Design Example
The design example given here will be for the circuit shown
on the front page. The input voltage is 3.3V, and the output
is 5V at a maximum load current of 2A.
1. The duty cycle is:
⎛ V + VD – VIN ⎞ 5 + 0 . 4 – 3 . 3
=
= 38 . 9 %
D=⎜ O
5 + 0.4
⎝ VO + VD ⎟⎠
2. An inductor ripple current of 40% of the maximum load
current is chosen, so the peak input current (which is also
the minimum saturation current) is:
2
⎛ χ ⎞ IO(MAX )
IIN(PEAK ) = ⎜1 + ⎟ •
= 1.2 •
= 3 . 9A
⎝ 2 ⎠ 1 – DMAX
1 – 0 . 39
The inductor ripple current is:
VOUT
200mV/DIV
AC COUPLED
ΔIL = χ •
IO(MAX )
1– DMAX
= 0.4 •
2
= 1.3A
1– 0.39
And so the inductor value is:
L=
IL
500mA/DIV
20μs/DIV
3872 F06
Figure 6. Load Transient Response for a 3.3V Input,
5V Output Boost Converter Application, 0.1A to 1A Step
VIN(MIN)
ΔIL • f
• DMAX =
3.3V
• 0.39 = 1..8μH
1.3A • 550kHz
The component chosen is a 2.2μH inductor made by
Sumida (part number CEP125-H 1ROMH).
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APPLICATIO S I FOR ATIO
3. Assuming a MOSFET junction temperature of 125°C,
the room temperature MOSFET RDS(ON) should be less
than:
RDS(ON) ≤ VSENSE(MAX ) •
= 0.175V •
1– DMAX
⎛ χ⎞
⎜⎝ 1+ 2 ⎟⎠ • IO(MAX ) • ρT
capacitors (JMK325BJ226MM) is required (the input
and return lead lengths are kept to a few inches. As with
the output node, check the input ripple with a single
oscilloscope probe connected across the input capacitor
terminals.
PC Board Layout Checklist
1– 0.39
≈ 30mΩ
⎛ 0.4 ⎞
⎜⎝ 1+ 2 ⎟⎠ • 2A • 1.5
The MOSFET used was the Si3460, which has a maximum
RDS(ON) of 27mΩ at 4.5V VGS, a BVDSS of greater than
30V, and a gate charge of 13.5nC at 4.5V VGS.
4. The diode for this design must handle a maximum DC
output current of 2A and be rated for a minimum reverse
voltage of VOUT, or 5V. A 25A, 15V diode from On Semiconductor (MBRB2515L) was chosen for its high power
dissipation capability.
5. The output capacitor usually consists of a lower valued,
low ESR ceramic.
6. The choice of an input capacitor for a boost converter
depends on the impedance of the source supply and the
amount of input ripple the converter will safely tolerate.
For this particular design two 22μF Taiyo Yuden ceramic
When laying out the printed circuit board, the following
checklist should be used to ensure proper operation of
the LTC3872. These items are illustrated graphically in
the layout diagram in Figure 7. Check the following in
your layout:
1. The Schottky diode should be closely connected between the output capacitor and the drain of the external
MOSFET.
2. The input decoupling capacitor (0.1μF) should be connected closely between VIN and GND.
3. The trace from SW to the switch point should be kept
short.
4. Keep the switching node NGATE away from sensitive
small signal nodes.
5. The VFB pin should connect directly to the feedback
resistors. The resistive divider R1 and R2 must be connected between the (+) plate of COUT and signal ground.
SW
IPRG
RUN/SS
ITH
LTC3872
RITH
VIN
VFB
GND
CITH
NGATE
+
CIN
+
COUT
VOUT
R2
R1
D1
L1
M1
3872 F07
VIN
BOLD LINES INDICATE HIGH CURRENT PATHS
Figure 7. LTC3872 Layout Diagram (See PC Board Layout Checklist)
3872fa
14
LTC3872
TYPICAL APPLICATIONS
High Efficiency 3.3V Input, 12V Output Boost Converter
4.7M
0.1μF
2.2nF
23.2k
ITH
100pF
RUN/SS
LTC3872
VFB
CIN
10μF
L1
2.2μH
IPRG
GND
VIN
3.3V
VIN
SW
NGATE
M1
PDS1040
11.8k
1%
107k
1%
+
COUT1
22μF
×2
COUT2
120μF
VOUT
12V
1.5A
3872 F08
COUT1: TAIYO YUDEN TMK325BJ226MM
L1: COILTRONICS DR125-2R2
M1: FAIRCHILD FDS6064N3
VOUT
12V
AC COUPLED
IL
5A/DIV
ILOAD
1A/DIV
STEP FROM
500mA TO 1.5A
100μs/DIV
3872 F09
3872fa
15
LTC3872
TYPICAL APPLICATIONS
High Efficiency 5V Input, 12V Output Boost Converter
4.7M
1nF
2.2nF
11k
ITH
100p
RUN/SS
VIN
IPRG
L1
3.3mH
LTC3872
VIN
5V
ILOAD
5A/DIV
SW
GND
M1
NGATE
VFB
11.8k
1%
CIN
10mF
ILOAD
500mA/DIV
STEP FROM
100mA TO 600mA
SBM835L
COUT1
22mF
´2
107k
1%
+
COUT2
68mF
VOUT
12V
2A
VOUT
3872 TA03
COUT1: TAIYO YUDEN TMK325BJ226MM
L1: TOKO D124C 892NAS-3R3M
M1: IRF3717
3872 TA03b
500μs/DIV
High Efficiency 5V Input, 24V Output Boost Converter
4.7M
0.068μF
1nF
52.3k
ITH
100p
RUN/SS
VIN
L1
8.2μH
IPRG
LTC3872
GND
12.1k
1%
VIN
5V
SW
NGATE
VFB
CIN
10μF
M1
232k
1%
UPS840
COUT1
10μF
×2
COUT2
68μF
+
VOUT
24V
1A
3872 TA04
COUT1: TAIYO YUDEN GMK316BJ106ML
L1: WURTH WE-HCF 8.2μH 744392-820
M1: SILICONIX Si4884DY
Efficiency
Load Step
100
ILOAD
500mA/DIV
STEP FROM
100mA TO 600mA
90
EFFICIENCY (%)
80
70
60
ILOAD
5A/DIV
50
40
30
20
VOUT
10
0
1
100
10
1000
500μs/DIV
3872 TA04c
LOAD (mA)
3872 TA04b
3872fa
16
LTC3872
TYPICAL APPLICATIONS
High Efficiency 5V Input, 48V Output Boost Converter
1M
0.33μF
2.2nF 63.4k
1%
ITH
VIN
RUN/SS
VIN
IPRG
CIN
10μF
L1
10μH
LTC3872
VIN
5V
SW
GND
NGATE
VFB
M1
D1
12.1k
1%
475k
1%
COUT1
2.2μF
×3
COUT2
68μF
VOUT
48V
0.5A
+
3872 TA05
COUT1: NIPPON CHEMI-CON NTS50X7R2A225KT
D1: DIODES, INC. PDS760
L1: SUMIDA CDEP147
M1: VISHAY SILICONIX Si7850DP
Soft-Start
Load Step
RUN/SS
5V/DIV
ILOAD
200mA/DIV
IL
5A/DIV
IL
2A/DIV
VOUT
20V/DIV
VOUT
500mV/DIV
AC COUPLED
3872 TA05b
40ms/DIV
500μs/DIV
3872 TA05c
Efficiency
100
90
EFFICIENCY (%)
80
70
60
50
40
30
20
1
10
100
1000
LOAD (mA)
3872 TA05d
3872fa
17
LTC3872
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PACKAGE DESCRIPTIO
DDB Package
8-Lead Plastic DFN (3mm × 2mm)
(Reference LTC DWG # 05-08-1702 Rev B)
0.61 ±0.05
(2 SIDES)
0.70 ±0.05
2.55 ±0.05
1.15 ±0.05
PACKAGE
OUTLINE
0.25 ± 0.05
0.50 BSC
2.20 ±0.05
(2 SIDES)
RECOMMENDED SOLDER PAD PITCH AND DIMENSIONS
3.00 ±0.10
(2 SIDES)
R = 0.115
TYP
5
R = 0.05
TYP
0.40 ± 0.10
8
2.00 ±0.10
(2 SIDES)
PIN 1 BAR
TOP MARK
(SEE NOTE 6)
0.56 ± 0.05
(2 SIDES)
0.200 REF
0.75 ±0.05
0 – 0.05
4
0.25 ± 0.05
1
PIN 1
R = 0.20 OR
0.25 × 45°
CHAMFER
(DDB8) DFN 0905 REV B
0.50 BSC
2.15 ±0.05
(2 SIDES)
BOTTOM VIEW—EXPOSED PAD
NOTE:
1. DRAWING CONFORMS TO VERSION (WECD-1) IN JEDEC PACKAGE OUTLINE M0-229
2. DRAWING NOT TO SCALE
3. ALL DIMENSIONS ARE IN MILLIMETERS
4. DIMENSIONS OF EXPOSED PAD ON BOTTOM OF PACKAGE DO NOT INCLUDE
MOLD FLASH. MOLD FLASH, IF PRESENT, SHALL NOT EXCEED 0.15mm ON ANY SIDE
5. EXPOSED PAD SHALL BE SOLDER PLATED
6. SHADED AREA IS ONLY A REFERENCE FOR PIN 1 LOCATION ON THE TOP AND BOTTOM OF PACKAGE
3872fa
18
LTC3872
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PACKAGE DESCRIPTIO
TS8 Package
8-Lead Plastic TSOT-23
(Reference LTC DWG # 05-08-1637)
0.52
MAX
2.90 BSC
(NOTE 4)
0.65
REF
1.22 REF
1.4 MIN
3.85 MAX 2.62 REF
2.80 BSC
1.50 – 1.75
(NOTE 4)
PIN ONE ID
RECOMMENDED SOLDER PAD LAYOUT
PER IPC CALCULATOR
0.22 – 0.36
8 PLCS (NOTE 3)
0.65 BSC
0.80 – 0.90
0.20 BSC
0.01 – 0.10
1.00 MAX
DATUM ‘A’
0.30 – 0.50 REF
0.09 – 0.20
(NOTE 3)
1.95 BSC
TS8 TSOT-23 0802
NOTE:
1. DIMENSIONS ARE IN MILLIMETERS
2. DRAWING NOT TO SCALE
3. DIMENSIONS ARE INCLUSIVE OF PLATING
4. DIMENSIONS ARE EXCLUSIVE OF MOLD FLASH AND METAL BURR
5. MOLD FLASH SHALL NOT EXCEED 0.254mm
6. JEDEC PACKAGE REFERENCE IS MO-193
3872fa
Information furnished by Linear Technology Corporation is believed to be accurate and reliable.
However, no responsibility is assumed for its use. Linear Technology Corporation makes no representation that the interconnection of its circuits as described herein will not infringe on existing patent rights.
19
LTC3872
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TYPICAL APPLICATIO
3.3V Input, 5V/2A Output Boost Converter
47pF
1M
1nF
1.8nF
17.4k
ITH
VIN
RUN/SS
VIN
IPRG
L1
1μH
LTC3872
GND
VFB
CIN
10μF
VIN
3.3V
SW
NGATE
M1
D1
11k
1%
34.8k
1%
VOUT
5V
2A
COUT
100μF
×2
3872 TA02
D1: DIODES, INC B320
L1: TOKOFDV0630-1R0
M1: SILICONIX Si3460DV
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3872fa
20 Linear Technology Corporation
LT 0407 REV A • PRINTED IN USA
1630 McCarthy Blvd., Milpitas, CA 95035-7417
(408) 432-1900 ● FAX: (408) 434-0507
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