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LTC1871
sn1871 1871fas
Wide Input Range, No RSENSETM
Current Mode Boost,Flyback and SEPIC Controller
The LTC®1871 is a wide input range, current mode, boost,flyback or SEPIC controller that drives an N-channelpower MOSFET and requires very few external compo-nents. Intended for low to medium power applications, iteliminates the need for a current sense resistor by utiliz-ing the power MOSFET’s on-resistance, thereby maximiz-ing efficiency.
The IC’s operating frequency can be set with an externalresistor over a 50kHz to 1MHz range, and can be synchro-nized to an external clock using the MODE/SYNC pin.Burst Mode operation at light loads, a low minimumoperating supply voltage of 2.5V and a low shutdownquiescent current of 10µA make the LTC1871 ideallysuited for battery-operated systems.
For applications requiring constant frequency operation,Burst Mode operation can be defeated using the MODE/SYNC pin. Higher output voltage boost, SEPIC and fly-back applications are possible with the LTC1871 byconnecting the SENSE pin to a resistor in the source of thepower MOSFET.
The LTC1871 is available in the 10-lead MSOP package.
High Efficiency (No Sense Resistor Required) Wide Input Voltage Range: 2.5V to 36V Current Mode Control Provides Excellent
Transient Response High Maximum Duty Cycle (92% Typ) ±2% RUN Pin Threshold with 100mV Hysteresis ±1% Internal Voltage Reference Micropower Shutdown: IQ = 10µA Programmable Operating Frequency
(50kHz to 1MHz) with One External Resistor Synchronizable to an External Clock Up to 1.3 × fOSC User-Controlled Pulse Skip or Burst Mode® Operation Internal 5.2V Low Dropout Voltage Regulator Output Overvoltage Protection Capable of Operating with a Sense Resistor for High
Output Voltage Applications Small 10-Lead MSOP Package
Telecom Power Supplies Portable Electronic Equipment
Burst Mode is a registered trademark of Linear Technology Corporation.No RSENSE is a trademark of Linear Technology Corporation.
Figure 1. High Efficiency 3.3V Input, 5V Output Boost Converter (Bootstrapped)
Efficiency of Figure 1
, LTC and LT are registered trademarks of Linear Technology Corporation.
OUTPUT CURRENT (A)
30
EFFI
CIEN
CY (%
)
90
100
80
50
70
60
40
0.001 0.1 1 10
1871 F01b
0.01
Burst ModeOPERATION
PULSE-SKIPMODE
DESCRIPTIO
U
FEATURES
APPLICATIO SU
TYPICAL APPLICATIO
U
+
RUN
ITH
FB
FREQ
MODE/SYNC
SENSE
VIN
INTVCC
GATE
GND
LTC1871
RT80.6k1%
R237.4k
1%
R112.1k1% CVCC
4.7µFX5R
CIN22µF6.3V×2
M1
D1
L11µH
RC22k
CC16.8nF
CC247pF
COUT1150µF6.3V×4
VIN3.3V
VOUT5V7A(10A PEAK)
GND1871 F01a
+
COUT222µF6.3VX5R×2
CIN: TAIYO YUDEN JMK325BJ226MMCOUT1: PANASONIC EEFUEOJ151RCOUT2: TAIYO YUDEN JMK325BJ226MM
D1: MBRB2515LL1: SUMIDA CEP125-H 1R0MHM1: FAIRCHILD FDS7760A
2
LTC1871
sn1871 1871fas
ELECTRICAL CHARACTERISTICS The denotes specifications which apply over the full operating temperaturerange, otherwise specifications are at TA = 25°C. VIN = VINTVCC = 5V, VRUN = 1.5V, RFREQ = 80k, VMODE/SYNC = 0V, unless otherwise specified.
(Note 1)
VIN Voltage ............................................... –0.3V to 36VINTVCC Voltage ........................................... –0.3V to 7VINTVCC Output Current ........................................ 50mAGATE Voltage ........................... –0.3V to VINTVCC + 0.3VITH, FB Voltages ....................................... –0.3V to 2.7VRUN, MODE/SYNC Voltages ....................... –0.3V to 7VFREQ Voltage ............................................–0.3V to 1.5VSENSE Pin Voltage ................................... –0.3V to 36VOperating Junction Temperature Range (Note 2)
LTC1871E ........................................... –40°C to 85°CLTC1871I .......................................... –40°C to 125°C
Junction Temperature (Note 3) ............................ 125°CStorage Temperature Range ................. –65°C to 150°CLead Temperature (Soldering, 10 sec).................. 300°C
ORDER PARTNUMBER
LTC1871EMSLTC1871IMS
TJMAX = 125°C, θJA = 120°C/ W
ABSOLUTE AXI U RATI GS
W WW U
PACKAGE/ORDER I FOR ATIOU UW
MS PART MARKING
LTSXLTBFC
12345
RUNITHFB
FREQMODE/SYNC
109876
SENSEVININTVCCGATEGND
TOP VIEW
MS PACKAGE10-LEAD PLASTIC MSOP
Consult LTC Marketing for parts specified with wider operating temperature ranges.
SYMBOL PARAMETER CONDITIONS MIN TYP MAX UNITSMain Control LoopVIN(MIN) Minimum Input Voltage 2.5 V
I-Grade (Note 2) 2.5 VIQ Input Voltage Supply Current (Note 4)
Continuous Mode VMODE/SYNC = 5V, VFB = 1.4V, VITH = 0.75V 550 1000 µAVMODE/SYNC = 5V, VFB = 1.4V, VITH = 0.75V, 550 1000 µAI-Grade (Note 2)
Burst Mode Operation, No Load VMODE/SYNC = 0V, VITH = 0.2V (Note 5) 250 500 µAVMODE/SYNC = 0V, VITH = 0.2V (Note 5), 250 500 µAI-Grade (Note 2)
Shutdown Mode VRUN = 0V 10 20 µAVRUN = 0V, I-Grade (Note 2) 10 20 µA
VRUN+ Rising RUN Input Threshold Voltage 1.348 V
VRUN– Falling RUN Input Threshold Voltage 1.223 1.248 1.273 V
1.198 1.298 VVRUN(HYST) RUN Pin Input Threshold Hysteresis 50 100 150 mV
I-Grade (Note 2) 35 100 175 mVIRUN RUN Input Current 1 60 nAVFB Feedback Voltage VITH = 0.2V (Note 5) 1.218 1.230 1.242 V
1.212 1.248 VVITH = 0.2V (Note 5), I-Grade (Note 2) 1.205 1.255 V
IFB FB Pin Input Current VITH = 0.2V (Note 5) 18 60 nA∆VFB Line Regulation 2.5V ≤ VIN ≤ 30V 0.002 0.02 %/V∆VIN
2.5V ≤ VIN ≤ 30V, I-Grade (Note 2) 0.002 0.02 %/V
3
LTC1871
sn1871 1871fas
ELECTRICAL CHARACTERISTICS The denotes specifications which apply over the full operating temperaturerange, otherwise specifications are at TA = 25°C. VIN = VINTVCC = 5V, VRUN = 1.5V, RFREQ = 80k, VMODE/SYNC = 0V, unless otherwise specified.SYMBOL PARAMETER CONDITIONS MIN TYP MAX UNITS ∆VFB Load Regulation VMODE/SYNC = 0V, VITH = 0.5V to 0.9V (Note 5) –1 –0.1 %∆VITH
VMODE/SYNC = 0V, VITH = 0.5V to 0.9V (Note 5) –1 –0.1 %I-Grade (Note 2)
∆VFB(OV) ∆FB Pin, Overvoltage Lockout VFB(OV) – VFB(NOM) in Percent 2.5 6 10 %gm Error Amplifier Transconductance ITH Pin Load = ±5µA (Note 5) 650 µmhoVITH(BURST) Burst Mode Operation ITH Pin Voltage Falling ITH Voltage (Note 5) 0.3 VVSENSE(MAX) Maximum Current Sense Input Threshold Duty Cycle < 20% 120 150 180 mV
Duty Cycle < 20%, I-Grade (Note 2) 100 200 mVISENSE(ON) SENSE Pin Current (GATE High) VSENSE = 0V 35 50 µAISENSE(OFF) SENSE Pin Current (GATE Low) VSENSE = 30V 0.1 5 µAOscillatorfOSC Oscillator Frequency RFREQ = 80k 250 300 350 kHz
RFREQ = 80k, I-Grade (Note 2) 250 300 350 kHzOscillator Frequency Range 50 1000 kHz
I-Grade (Note 2) 50 1000 kHzDMAX Maximum Duty Cycle 87 92 97 %
I-Grade (Note 2) 87 92 97 %fSYNC/fOSC Recommended Maximum Synchronized fOSC = 300kHz (Note 6) 1.25 1.30
Frequency RatiofOSC = 300kHz (Note 6), I-Grade (Note 2) 1.25 1.30
tSYNC(MIN) MODE/SYNC Minimum Input Pulse Width VSYNC = 0V to 5V 25 nstSYNC(MAX) MODE/SYNC Maximum Input Pulse Width VSYNC = 0V to 5V 0.8/fOSC nsVIL(MODE) Low Level MODE/SYNC Input Voltage 0.3 V
I-Grade (Note 2) 0.3 VVIH(MODE) High Level MODE/SYNC Input Voltage 1.2 V
I-Grade (Note 2) 1.2 VRMODE/SYNC MODE/SYNC Input Pull-Down Resistance 50 kΩVFREQ Nominal FREQ Pin Voltage 0.62 VLow Dropout RegulatorVINTVCC INTVCC Regulator Output Voltage VIN = 7.5V 5.0 5.2 5.4 V
VIN = 7.5V, I-Grade (Note 2) 5.0 5.2 5.4 V∆VINTVCC INTVCC Regulator Line Regulation 7.5V ≤ VIN ≤ 15V 8 25 mV ∆VIN1∆VINTVCC INTVCC Regulator Line Regulation 15V ≤ VIN ≤ 30V 70 200 mV ∆VIN2
VLDO(LOAD) INTVCC Load Regulation 0 ≤ IINTVCC ≤ 20mA, VIN = 7.5V –2 –0.2 %VDROPOUT INTVCC Regulator Dropout Voltage VIN = 5V, INTVCC Load = 20mA 280 mVIINTVCC Bootstrap Mode INTVCC Supply RUN = 0V, SENSE = 5V 10 20 µA
Current in ShutdownI-Grade (Note 2) 30 µA
GATE Drivertr GATE Driver Output Rise Time CL = 3300pF (Note 7) 17 100 nstf GATE Driver Output Fall Time CL = 3300pF (Note 7) 8 100 ns
4
LTC1871
sn1871 1871fas
TYPICAL PERFOR A CE CHARACTERISTICS
UW
FB Voltage vs Temp FB Voltage Line Regulation FB Pin Current vs Temperature
TEMPERATURE (°C)–50
FB V
OLTA
GE (V
)
1.23
1.24
150
1871 G01
1.22
1.210 50 100–25 25 75 125
1.25
VIN (V)0
1.229
FB V
OLTA
GE (V
)
1.230
1.231
5 10 15 20
1871 G02
25 30 35TEMPERATURE (°C)
–500
FB P
IN C
URRE
NT (n
A)
10
20
30
40
60
–25 250 50 10075
1871 G03
125 150
50
Shutdown Mode IQ vs VIN Burst Mode IQ vs VIN
VIN (V)0
0
SHUT
DOW
N M
ODE
I Q (µ
A)
10
20
10 20 30 40
1871 G04
30
Shutdown Mode IQ vs Temperature
TEMPERATURE (°C)–50
0
SHUT
DOW
N M
ODE
I Q (µ
A)
5
10
15
20
–25 0 25 50
1871 G05
75 100 125 150
VIN = 5V
VIN (V)0
0
Burs
t Mod
e I Q
(µA)
100
200
300
400
600
10 20
1871 G06
30 40
500
Note 1: Absolute Maximum Ratings are those values beyond which the lifeof the device may be impaired.Note 2: The LTC1871E is guaranteed to meet performance specificationsfrom 0°C to 70°C junction temperature. Specifications over the –40°C to85°C operating junction temperature range are assured by design,characterization and correlation with statistical process controls. TheLTC1871I is guaranteed over the full –40°C to 125°C operating junctiontemperature range.Note 3: TJ is calculated from the ambient temperature TA and powerdissipation PD according to the following formula:
TJ = TA + (PD • 110°C/W)
Note 4: The dynamic input supply current is higher due to power MOSFETgate charging (QG • fOSC). See Applications Information.Note 5: The LTC1871 is tested in a feedback loop which servos VFB to thereference voltage with the ITH pin forced to the midpoint of its voltagerange (0.3V ≤ VITH ≤ 1.2V, midpoint = 0.75V).Note 6: In a synchronized application, the internal slope compensationgain is increased by 25%. Synchronizing to a significantly higher ratio willreduce the effective amount of slope compensation, which could result insubharmonic oscillation for duty cycles greater than 50%.Note 7: Rise and fall times are measured at 10% and 90% levels.
ELECTRICAL CHARACTERISTICS The denotes specifications which apply over the full operating temperaturerange, otherwise specifications are at TA = 25°C. VIN = VINTVCC = 5V, VRUN = 1.5V, RFREQ = 80k, VMODE/SYNC = 0V, unless otherwise specified.
5
LTC1871
sn1871 1871fas
TYPICAL PERFOR A CE CHARACTERISTICS
UW
RUN Thresholds vs VIN RT vs Frequency
Frequency vs Temperature SENSE Pin Current vs TemperatureMaximum Sense Thresholdvs Temperature
VIN (V)0
1.2
RUN
THRE
SHOL
DS (V
)
1.3
1.4
10 20 30 40
1871 G10
1.5
RUN Thresholds vs Temperature
TEMPERATURE (°C)–50
RUN
THRE
SHOL
DS (V
)
1.30
1.35
150
1871 G11
1.25
1.200 50 100–25 25 75 125
1.40
FREQUENCY (kHz)100
R T (k
Ω)
300
1000
1871 G12
10
100
200 10009008007006005004000
TEMPERATURE (°C)–50
275
GATE
FRE
QUEN
CY (k
Hz)
280
290
295
300
325
310
0 50 75
1871 G13
285
315
320
305
–25 25 100 125 150TEMPERATURE (°C)
–50140
MAX
SEN
SE T
HRES
HOLD
(mV)
145
150
155
160
–25 0 25 50
1871 G14
75 100 125 150TEMPERATURE (°C)
–5025
SENS
E PI
N CU
RREN
T (µ
A)
30
35
0 50 75
1871 G15
–25 25 100 125 150
GATE HIGHVSENSE = 0V
Burst Mode IQ vs TemperatureGate Drive Rise and Fall Timevs CLDynamic IQ vs Frequency
TEMPERATURE (°C)–50
0
Burs
t Mod
e I Q
(µA)
200
500
0 50 75
1871 G07
100
400
300
–25 25 100 125 150FREQUENCY (kHz)
00
I Q (m
A)
2
6
8
10
800
18
1871 G08
4
400 1200600200 1000
12
14
16CL = 3300pFIQ(TOT) = 550µA + Qg • f
CL (pF)0
0
TIM
E (n
s)
10
20
30
40
60
2000 4000 6000 8000
1871 G09
10000 12000
50
RISE TIME
FALL TIME
6
LTC1871
sn1871 1871fas
UUU
PI FU CTIO SRUN (Pin 1): The RUN pin provides the user with anaccurate means for sensing the input voltage and pro-gramming the start-up threshold for the converter. Thefalling RUN pin threshold is nominally 1.248V and thecomparator has 100mV of hysteresis for noise immunity.When the RUN pin is below this input threshold, the IC isshut down and the VIN supply current is kept to a lowvalue (typ 10µA). The Absolute Maximum Rating for thevoltage on this pin is 7V.
ITH (Pin 2): Error Amplifier Compensation Pin. The cur-rent comparator input threshold increases with thiscontrol voltage. Nominal voltage range for this pin is 0Vto 1.40V.
FB (Pin 3): Receives the feedback voltage from theexternal resistor divider across the output. Nominalvoltage for this pin in regulaton is 1.230V.
FREQ (Pin 4): A resistor from the FREQ pin to groundprograms the operating frequency of the chip. The nomi-nal voltage at the FREQ pin is 0.6V.
MODE/SYNC (Pin 5): This input controls the operatingmode of the converter and allows for synchronizing the
operating frequency to an external clock. If the MODE/SYNC pin is connected to ground, Burst Mode operationis enabled. If the MODE/SYNC pin is connected to INTVCC,or if an external logic-level synchronization signal isapplied to this input, Burst Mode operation is disabledand the IC operates in a continuous mode.
GND (Pin 6): Ground Pin.
GATE (Pin 7): Gate Driver Output.
INTVCC (Pin 8): The Internal 5.20V Regulator Output. Thegate driver and control circuits are powered from thisvoltage. Decouple this pin locally to the IC ground with aminimum of 4.7µF low ESR tantalum or ceramiccapacitor.
VIN (Pin 9): Main Supply Pin. Must be closely decoupledto ground.
SENSE (Pin 10): The Current Sense Input for the ControlLoop. Connect this pin to the drain of the power MOSFETfor VDS sensing and highest efficiency. Alternatively, theSENSE pin may be connected to a resistor in the sourceof the power MOSFET. Internal leading edge blanking isprovided for both sensing methods.
TYPICAL PERFOR A CE CHARACTERISTICS
UW
INTVCC Load RegulationINTVCC Dropout Voltagevs Current, TemperatureINTVCC Line Regulation
INTVCC LOAD (mA)0
INTV
CC V
OLTA
GE (V
)
5.2
30 50 80
1871 G16
5.1
5.010 20 40 60 70
VIN = 7.5V
VIN (V)0
5.1
INTV
CC V
OLTA
GE (V
)5.2
5.3
10 20 30 40
1871 G17
5.4
5 15 25 35INTVCC LOAD (mA)
00
DROP
OUT
VOLT
AGE
(mV)
50
150
200
250
500
350
5 10
1871 G18
100
400
450
300
15 20
150°C
75°C
125°C
25°C
–50°C
0°C
7
LTC1871
sn1871 1871fas
BLOCK DIAGRA
W
–
+
–
+
+1.230V
85mVOV
50k
EA
UV
TOSTART-UPCONTROL
BURSTCOMPARATOR
S
RQ
LOGICPWM LATCH
CURRENTCOMPARATOR
0.30V
1.230V
5.2V
–
+2.00V
1.230VSLOPE
1.230V
ILOOP
FB
ITH
–
+
gm
3
MODE/SYNC
5
FREQ
4
2
INTVCC
8 LDO
V-TO-I
OSCV-TO-I
SLOPECOMPENSATION
BIAS ANDSTART-UPCONTROL
VIN
BIAS VREF
IOSC
RLOOP
–
+
–
+
C1
SENSE
10
GND
1871 BD
6
GATEINTVCC
GND
7
VIN
1.248V
9
RUN
C2
1
0.6V
8
LTC1871
sn1871 1871fas
Main Control Loop
The LTC1871 is a constant frequency, current modecontroller for DC/DC boost, SEPIC and flyback converterapplications. The LTC1871 is distinguished from conven-tional current mode controllers because the current con-trol loop can be closed by sensing the voltage drop acrossthe power MOSFET switch instead of across a discretesense resistor, as shown in Figure 2. This sensing tech-nique improves efficiency, increases power density, andreduces the cost of the overall solution.
OPERATIOU
to rise, which causes the current comparator C1 to trip ata higher peak inductor current value. The average inductorcurrent will therefore rise until it equals the load current,thereby maintaining output regulation.
The nominal operating frequency of the LTC1871 is pro-grammed using a resistor from the FREQ pin to groundand can be controlled over a 50kHz to 1000kHz range. Inaddition, the internal oscillator can be synchronized to anexternal clock applied to the MODE/SYNC pin and can belocked to a frequency between 100% and 130% of itsnominal value. When the MODE/SYNC pin is left open, it ispulled low by an internal 50k resistor and Burst Modeoperation is enabled. If this pin is taken above 2V or anexternal clock is applied, Burst Mode operation is disabledand the IC operates in continuous mode. With no load (oran extremely light load), the controller will skip pulses inorder to maintain regulation and prevent excessive outputripple.
The RUN pin controls whether the IC is enabled or is in alow current shutdown state. A micropower 1.248V refer-ence and comparator C2 allow the user to program thesupply voltage at which the IC turns on and off (compara-tor C2 has 100mV of hysteresis for noise immunity). Withthe RUN pin below 1.248V, the chip is off and the inputsupply current is typically only 10µA.
An overvoltage comparator OV senses when the FB pinexceeds the reference voltage by 6.5% and provides areset pulse to the main RS latch. Because this RS latch isreset-dominant, the power MOSFET is actively held off forthe duration of an output overvoltage condition.
The LTC1871 can be used either by sensing the voltagedrop across the power MOSFET or by connecting theSENSE pin to a conventional shunt resistor in the sourceof the power MOSFET, as shown in Figure 2. Sensing thevoltage across the power MOSFET maximizes converterefficiency and minimizes the component count, but limitsthe output voltage to the maximum rating for this pin(36V). By connecting the SENSE pin to a resistor in thesource of the power MOSFET, the user is able to programoutput voltages significantly greater than 36V.
COUTVSW
VSW
2a. SENSE Pin Connection for Maximum Efficiency (VSW < 36V)
VOUTVIN
GND
L D
+
COUT
RS
1871 F02
2b. SENSE Pin Connection for Precise Control of Peak Current or for VSW > 36V
VOUTVIN
GND
L D
+
GATE
GND
VIN
SENSE
GATE
GND
VIN
SENSE
Figure 2. Using the SENSE Pin On the LTC1871
For circuit operation, please refer to the Block Diagram ofthe IC and Figure 1. In normal operation, the powerMOSFET is turned on when the oscillator sets the PWMlatch and is turned off when the current comparator C1resets the latch. The divided-down output voltage is com-pared to an internal 1.230V reference by the error amplifierEA, which outputs an error signal at the ITH pin. The voltageon the ITH pin sets the current comparator C1 inputthreshold. When the load current increases, a fall in the FBvoltage relative to the reference voltage causes the ITH pin
9
LTC1871
sn1871 1871fas
OPERATIOU
Programming the Operating Mode
For applications where maximizing the efficiency at verylight loads (e.g., <100µA) is a high priority, the current inthe output divider could be decreased to a few micro-amps and Burst Mode operation should be applied (i.e.,the MODE/SYNC pin should be connected to ground). Inapplications where fixed frequency operation is morecritical than low current efficiency, or where the lowestoutput ripple is desired, pulse-skip mode operation shouldbe used and the MODE/SYNC pin should be connected tothe INTVCC pin. This allows discontinuous conductionmode (DCM) operation down to near the limit defined bythe chip’s minimum on-time (about 175ns). Below thisoutput current level, the converter will begin to skipcycles in order to maintain output regulation. Figures 3and 4 show the light load switching waveforms for BurstMode and pulse-skip mode operation for the converter inFigure 1.
Burst Mode Operation
Burst Mode operation is selected by leaving the MODE/SYNC pin unconnected or by connecting it to ground. Innormal operation, the range on the ITH pin correspondingto no load to full load is 0.30V to 1.2V. In Burst Modeoperation, if the error amplifier EA drives the ITH voltagebelow 0.525V, the buffered ITH input to the current com-parator C1 will be clamped at 0.525V (which correspondsto 25% of maximum load current). The inductor currentpeak is then held at approximately 30mV divided by the
power MOSFET RDS(ON). If the ITH pin drops below 0.30V,the Burst Mode comparator B1 will turn off the powerMOSFET and scale back the quiescent current of the IC to250µA (sleep mode). In this condition, the load current willbe supplied by the output capacitor until the ITH voltagerises above the 50mV hysteresis of the burst comparator.At light loads, short bursts of switching (where the aver-age inductor current is 20% of its maximum value) fol-lowed by long periods of sleep will be observed, therebygreatly improving converter efficiency. Oscilloscope wave-forms illustrating Burst Mode operation are shown inFigure 3.
Pulse-Skip Mode Operation
With the MODE/SYNC pin tied to a DC voltage above 2V,Burst Mode operation is disabled. The internal, 0.525Vbuffered ITH burst clamp is removed, allowing the ITH pinto directly control the current comparator from no load tofull load. With no load, the ITH pin is driven below 0.30V,the power MOSFET is turned off and sleep mode isinvoked. Oscilloscope waveforms illustrating this mode ofoperation are shown in Figure 4.
When an external clock signal drives the MODE/SYNC pinat a rate faster than the chip’s internal oscillator, theoscillator will synchronize to it. In this synchronized mode,Burst Mode operation is disabled. The constant frequencyassociated with synchronized operation provides a morecontrolled noise spectrum from the converter, at theexpense of overall system efficiency of light loads.
10µs/DIV 1871 F03
Figure 3. LTC1871 Burst Mode Operation(MODE/SYNC = 0V) at Low Output Current
Figure 4. LTC1871 Low Output Current Operation with BurstMode Operation Disabled (MODE/SYNC = INTVCC)
VOUT50mV/DIV
IL5A/DIV
VIN = 3.3VVOUT = 5VIOUT = 500mA
MODE/SYNC = 0V(Burst Mode OPERATION)
VOUT50mV/DIV
IL5A/DIV
VIN = 3.3VVOUT = 5VIOUT = 500mA
MODE/SYNC = INTVCC(PULSE-SKIP MODE)
2µs/DIV 1871 F04
10
LTC1871
sn1871 1871fas
APPLICATIO S I FOR ATIO
WU UU
When the oscillator’s internal logic circuitry detects asynchronizing signal on the MODE/SYNC pin, the internaloscillator ramp is terminated early and the slope compen-sation is increased by approximately 30%. As a result, inapplications requiring synchronization, it is recommendedthat the nominal operating frequency of the IC be pro-grammed to be about 75% of the external clock frequency.Attempting to synchronize to too high an external fre-quency (above 1.3fO) can result in inadequate slope com-pensation and possible subharmonic oscillation (or jitter).
The external clock signal must exceed 2V for at least 25ns,and should have a maximum duty cycle of 80%, as shownin Figure 5. The MOSFET turn on will synchronize to therising edge of the external clock signal.
to charge and discharge an internal oscillator capacitor. Agraph for selecting the value of RT for a given operatingfrequency is shown in Figure 6.
Figure 6. Timing Resistor (RT) Value
Figure 5. MODE/SYNC Clock Input and SwitchingWaveforms for Synchronized Operation
1871 F05
2V TO 7VMODE/SYNC
GATE
IL
tMIN = 25ns
0.8T
D = 40%
T T = 1/fO
FREQUENCY (kHz)100
R T (k
Ω)
300
1000
1871 F06
10
100
200 10009008007006005004000
Programming the Operating Frequency
The choice of operating frequency and inductor value is atradeoff between efficiency and component size. Lowfrequency operation improves efficiency by reducingMOSFET and diode switching losses. However, lowerfrequency operation requires more inductance for a givenamount of load current.
The LTC1871 uses a constant frequency architecture thatcan be programmed over a 50kHz to 1000kHz range witha single external resistor from the FREQ pin to ground, asshown in Figure 1. The nominal voltage on the FREQ pin is0.6V, and the current that flows into the FREQ pin is used
INTVCC Regulator Bypassing and Operation
An internal, P-channel low dropout voltage regulator pro-duces the 5.2V supply which powers the gate driver andlogic circuitry within the LTC1871, as shown in Figure 7.The INTVCC regulator can supply up to 50mA and must bebypassed to ground immediately adjacent to the IC pinswith a minimum of 4.7µF tantalum or ceramic capacitor.Good bypassing is necessary to supply the high transientcurrents required by the MOSFET gate driver.
For input voltages that don’t exceed 7V (the absolutemaximum rating for this pin), the internal low dropoutregulator in the LTC1871 is redundant and the INTVCC pincan be shorted directly to the VIN pin. With the INTVCC pinshorted to VIN, however, the divider that programs theregulated INTVCC voltage will draw 10µA of current fromthe input supply, even in shutdown mode. For applicationsthat require the lowest shutdown mode input supplycurrent, do not connect the INTVCC pin to VIN. Regardlessof whether the INTVCC pin is shorted to VIN or not, it isalways necessary to have the driver circuitry bypassedwith a 4.7µF tantalum or low ESR ceramic capacitor toground immediately adjacent to the INTVCC and GNDpins.
In an actual application, most of the IC supply current isused to drive the gate capacitance of the power MOSFET.
11
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As a result, high input voltage applications in which a largepower MOSFET is being driven at high frequencies cancause the LTC1871 to exceed its maximum junctiontemperature rating. The junction temperature can beestimated using the following equations:
IQ(TOT) ≈ IQ + f • QG
PIC = VIN • (IQ + f • QG)
TJ = TA + PIC • RTH(JA)
The total quiescent current IQ(TOT) consists of the staticsupply current (IQ) and the current required to charge anddischarge the gate of the power MOSFET. The 10-pinMSOP package has a thermal resistance of RTH(JA) =120°C/W.
As an example, consider a power supply with VIN = 5V andVO = 12V at IO = 1A. The switching frequency is 500kHz,and the maximum ambient temperature is 70°C. Thepower MOSFET chosen is the IRF7805, which has amaximum RDS(ON) of 11mΩ (at room temperature) and amaximum total gate charge of 37nC (the temperaturecoefficient of the gate charge is low).
IQ(TOT) = 600µA + 37nC • 500kHz = 19.1mA
PIC = 5V • 19.1mA = 95mW
TJ = 70°C + 120°C/W • 95mW = 81.4°C
This demonstrates how significant the gate charge currentcan be when compared to the static quiescent current inthe IC.
To prevent the maximum junction temperature from beingexceeded, the input supply current must be checked whenoperating in a continuous mode at high VIN. A tradeoffbetween the operating frequency and the size of the powerMOSFET may need to be made in order to maintain areliable IC junction temperature. Prior to lowering theoperating frequency, however, be sure to check withpower MOSFET manufacturers for their latest-and-great-est low QG, low RDS(ON) devices. Power MOSFET manu-facturing technologies are continually improving, withnewer and better performance devices being introducedalmost yearly.
Output Voltage Programming
The output voltage is set by a resistor divider according tothe following formula:
V VRRO = +
⎛⎝⎜
⎞⎠⎟1 230 1
21
. •
The external resistor divider is connected to the output asshown in Figure 1, allowing remote voltage sensing. Theresistors R1 and R2 are typically chosen so that the error
Figure 7. Bypassing the LDO Regulator and Gate Driver Supply
+
–
+
1.230V
R2 R1
P-CH
5.2V
DRIVERGATE
CVCC4.7µF
CIN
INPUTSUPPLY2.5V TO 30V
GNDPLACE AS CLOSE ASPOSSIBLE TO DEVICE PINS
M1
1871 F07
INTVCC
VIN
GND
LOGIC
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caused by the current flowing into the FB pin duringnormal operation is less than 1% (this translates to amaximum value of R1 of about 250k).
Programming Turn-On and Turn-Off Thresholdswith the RUN Pin
The LTC1871 contains an independent, micropower volt-age reference and comparator detection circuit that re-mains active even when the device is shut down, as shownin Figure 8. This allows users to accurately program aninput voltage at which the converter will turn on and off.The falling threshold voltage on the RUN pin is equal to theinternal reference voltage of 1.248V. The comparator has100mV of hysteresis to increase noise immunity.
The turn-on and turn-off input voltage thresholds areprogrammed using a resistor divider according to thefollowing formulas:
V VRR
V VRR
IN OFF
IN ON
( )
( )
. •
. •
= +⎛⎝⎜
⎞⎠⎟
= +⎛⎝⎜
⎞⎠⎟
1 248 121
1 348 121
The resistor R1 is typically chosen to be less than 1M.
For applications where the RUN pin is only to be used asa logic input, the user should be aware of the 7VAbsolute Maximum Rating for this pin! The RUN pin canbe connected to the input voltage through an external 1Mresistor, as shown in Figure 8c, for “always on” operaton.
–
+RUN
COMPARATOR
VIN
RUNR2
R1
INPUTSUPPLY OPTIONAL
FILTERCAPACITOR
+
– GND1871 F8a
BIAS ANDSTART-UPCONTROL
1.248VµPOWER
REFERENCE
6V
Figure 8b. On/Off Control Using External LogicFigure 8c. External Pull-Up Resistor OnRUN Pin for “Always On” Operation
Figure 8a. Programming the Turn-On and Turn-Off Thresholds Using the RUN Pin
–
+
RUNCOMPARATOR
1.248V
1871 F08b
RUN
6VEXTERNAL
LOGIC CONTROL
–
+RUN
COMPARATOR
VIN
RUN
R21M
INPUTSUPPLY
+
– GND 1.248V
1871 F08c
6V
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Application Circuits
A basic LTC1871 application circuit is shown inFigure 1. External component selection is driven by thecharacteristics of the load and the input supply. The firsttopology to be analyzed will be the boost converter,followed by SEPIC (single ended primary inductanceconverter).
Boost Converter: Duty Cycle Considerations
For a boost converter operating in a continuous conduc-tion mode (CCM), the duty cycle of the main switch is:
DV V V
V VO D IN
O D=
+
+
⎛
⎝⎜
⎞
⎠⎟
–
where VD is the forward voltage of the boost diode. Forconverters where the input voltage is close to the outputvoltage, the duty cycle is low and for converters thatdevelop a high output voltage from a low voltage inputsupply, the duty cycle is high. The maximum outputvoltage for a boost converter operating in CCM is:
VV
DVO MAX
IN MIN
MAXD( )
( )
––=
( )1
The maximum duty cycle capability of the LTC1871 istypically 92%. This allows the user to obtain high outputvoltages from low input supply voltages.
Boost Converter: The Peak and Average Input Currents
The control circuit in the LTC1871 is measuring the inputcurrent (either by using the RDS(ON) of the power MOSFETor by using a sense resistor in the MOSFET source), so theoutput current needs to be reflected back to the input inorder to dimension the power MOSFET properly. Based onthe fact that, ideally, the output power is equal to the inputpower, the maximum average input current is:
II
D
The peak input current is
II
D
IN MAXO MAX
MAX
IN PEAKO MAX
MAX
( )( )
( )( )
–
:
•–
=
= +⎛⎝⎜
⎞⎠⎟
1
12 1χ
The maximum duty cycle, DMAX, should be calculated atminimum VIN.
Boost Converter: Ripple Current ∆IL and the ‘χ’ Factor
The constant ‘χ’ in the equation above represents thepercentage peak-to-peak ripple current in the inductor,relative to its maximum value. For example, if 30% ripplecurrent is chosen, then χ = 0.30, and the peak current is15% greater than the average.
For a current mode boost regulator operating in CCM,slope compensation must be added for duty cycles above50% in order to avoid subharmonic oscillation. For theLTC1871, this ramp compensation is internal. Having aninternally fixed ramp compensation waveform, however,does place some constraints on the value of the inductorand the operating frequency. If too large an inductor isused, the resulting current ramp (∆IL) will be small relativeto the internal ramp compensation (at duty cycles above50%), and the converter operation will approach voltagemode (ramp compensation reduces the gain of the currentloop). If too small an inductor is used, but the converter isstill operating in CCM (near critical conduction mode), theinternal ramp compensation may be inadequate to preventsubharmonic oscillation. To ensure good current modegain and avoid subharmonic oscillation, it is recom-mended that the ripple current in the inductor fall in therange of 20% to 40% of the maximum average current. Forexample, if the maximum average input current is 1A,choose a ∆IL between 0.2A and 0.4A, and a value ‘χ’between 0.2 and 0.4.
Boost Converter: Inductor Selection
Given an operating input voltage range, and having chosenthe operating frequency and ripple current in the inductor,the inductor value can be determined using the followingequation:
LV
I fD
where
II
D
IN MIN
LMAX
LO MAX
MAX
=∆
∆ =
( )
( )
••
:
•–
χ1
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Remember that boost converters are not short-circuitprotected. Under a shorted output condition, the inductorcurrent is limited only by the input supply capability. Forapplications requiring a step-up converter that is short-circuit protected, please refer to the applications sectioncovering SEPIC converters.
The minimum required saturation current of the inductorcan be expressed as a function of the duty cycle and theload current, as follows:
II
DL SATO MAX
MAX( )
( )•–
≥ +⎛⎝⎜
⎞⎠⎟1
2 1χ
The saturation current rating for the inductor should bechecked at the minimum input voltage (which results inthe highest inductor current) and maximum outputcurrent.
Boost Converter: Operating in Discontinuous Mode
Discontinuous mode operation occurs when the loadcurrent is low enough to allow the inductor current to runout during the off-time of the switch, as shown in Figure 9.Once the inductor current is near zero, the switch anddiode capacitances resonate with the inductance to formdamped ringing at 1MHz to 10MHz. If the off-time is longenough, the drain voltage will settle to the input voltage.
Depending on the input voltage and the residual energy inthe inductor, this ringing can cause the drain of the powerMOSFET to go below ground where it is clamped by thebody diode. This ringing is not harmful to the IC and it hasnot been shown to contribute significantly to EMI. Anyattempt to damp it with a snubber will degrade the efficiency.
Boost Converter: Inductor Core Selection
Once the value for L is known, the type of inductor must beselected. High efficiency converters generally cannot af-ford the core loss found in low cost powdered iron cores,forcing the use of more expensive ferrite, molypermalloyor Kool Mµ® cores. Actual core loss is independent of coresize for a fixed inductor value, but is very dependent on theinductance selected. As inductance increases, core lossesgo down. Unfortunately, increased inductance requiresmore turns of wire and therefore, copper losses willincrease. Generally, there is a tradeoff between core lossesand copper losses that needs to be balanced.
Ferrite designs have very low core losses and are preferredat high switching frequencies, so design goals can con-centrate on copper losses and preventing saturation.Ferrite core material saturates “hard,” meaning that theinductance collapses rapidly when the peak design currentis exceeded. This results in an abrupt increase in inductorripple current and consequently, output voltage ripple. Donot allow the core to saturate!
Molypermalloy (from Magnetics, Inc.) is a very good, lowcost core material for toroids, but is more expensive thanferrite. A reasonable compromise from the same manu-facturer is Kool Mµ.
Boost Converter: Power MOSFET Selection
The power MOSFET serves two purposes in the LTC1871:it represents the main switching element in the powerpath, and its RDS(ON) represents the current sensing ele-ment for the control loop. Important parameters for thepower MOSFET include the drain-to-source breakdownvoltage (BVDSS), the threshold voltage (VGS(TH)), the on-resistance (RDS(ON)) versus gate-to-source voltage, thegate-to-source and gate-to-drain charges (QGS and QGD,respectively), the maximum drain current (ID(MAX)) andthe MOSFET’s thermal resistances (RTH(JC) and RTH(JA)).
The gate drive voltage is set by the 5.2V INTVCC low dropregulator. Consequently, logic-level threshold MOSFETsshould be used in most LTC1871 applications. If low inputvoltage operation is expected (e.g., supplying power from
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Figure 9. Discontinuous Mode Waveforms
MOSFET DRAINVOLTAGE
2V/DIV
INDUCTORCURRENT
2A/DIV
VIN = 3.3VVOUT = 5V
IOUT = 200mA
2µs/DIV 1871 F09
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a lithium-ion battery or a 3.3V logic supply), then sublogic-level threshold MOSFETs should be used.
Pay close attention to the BVDSS specifications for theMOSFETs relative to the maximum actual switch voltage inthe application. Many logic-level devices are limited to 30Vor less, and the switch node can ring during the turn-off ofthe MOSFET due to layout parasitics. Check the switchingwaveforms of the MOSFET directly across the drain andsource terminals using the actual PC board layout (not juston a lab breadboard!) for excessive ringing.
During the switch on-time, the control circuit limits themaximum voltage drop across the power MOSFET toabout 150mV (at low duty cycle). The peak inductorcurrent is therefore limited to 150mV/RDS(ON). The rela-tionship between the maximum load current, duty cycleand the RDS(ON) of the power MOSFET is:
R VD
IDS ON SENSE MAX
MAX
O MAX T
( ) ( )
( )
•–
• •≤
+⎛⎝⎜
⎞⎠⎟
1
12χ
ρ
The VSENSE(MAX) term is typically 150mV at low dutycycle, and is reduced to about 100mV at a duty cycle of92% due to slope compensation, as shown in Figure 10.The ρT term accounts for the temperature coefficient ofthe RDS(ON) of the MOSFET, which is typically 0.4%/°C.Figure 11 illustrates the variation of normalized RDS(ON)over temperature for a typical power MOSFET.
Another method of choosing which power MOSFET to useis to check what the maximum output current is for a givenRDS(ON), since MOSFET on-resistances are available indiscrete values.
I VD
RO MAX SENSE MAX
MAX
DS ON T
( ) ( )
( )
•–
• •=
+⎛⎝⎜
⎞⎠⎟
1
12χ
ρ
It is worth noting that the 1 – DMAX relationship betweenIO(MAX) and RDS(ON) can cause boost converters with awide input range to experience a dramatic range of maxi-mum input and output current. This should be taken intoconsideration in applications where it is important to limitthe maximum current drawn from the input supply.
Calculating Power MOSFET Switching and ConductionLosses and Junction Temperatures
In order to calculate the junction temperature of the powerMOSFET, the power dissipated by the device must beknown. This power dissipation is a function of the dutycycle, the load current and the junction temperature itself(due to the positive temperature coefficient of its RDS(ON)).As a result, some iterative calculation is normally requiredto determine a reasonably accurate value. Since thecontroller is using the MOSFET as both a switching and asensing element, care should be taken to ensure that theconverter is capable of delivering the required load currentover all operating conditions (line voltage and tempera-ture), and for the worst-case specifications for VSENSE(MAX)
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0
MAX
IMUM
CUR
RENT
SEN
SE V
OLTA
GE (m
V)
100
150
0.8
1871 F10
50
00.2 0.4 0.5 1.0
200
Figure 10. Maximum SENSE Threshold Voltage vs Duty Cycle
JUNCTION TEMPERATURE (°C)–50
ρ T N
ORM
ALIZ
ED O
N RE
SIST
ANCE
1.0
1.5
150
1871 F11
0.5
00 50 100
2.0
Figure 11. Normalized RDS(ON) vs Temperature
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and the RDS(ON) of the MOSFET listed in the manufacturer’sdata sheet.
The power dissipated by the MOSFET in a boost converteris:
PI
DR D
k VI
DC f
FETO MAX
MAXDS ON MAX T
OO MAX
MAXRSS
=⎛
⎝⎜
⎞
⎠⎟
+( )
( )( )
. ( )
–• • •
• •–
• •
1
1
2
1 85
ρ
The first term in the equation above represents the I2Rlosses in the device, and the second term, the switchinglosses. The constant, k = 1.7, is an empirical factor in-versely related to the gate drive current and has the dimen-sion of 1/current.
From a known power dissipated in the power MOSFET, itsjunction temperature can be obtained using the followingformula:
TJ = TA + PFET • RTH(JA)
The RTH(JA) to be used in this equation normally includesthe RTH(JC) for the device plus the thermal resistance fromthe case to the ambient temperature (RTH(CA)). This valueof TJ can then be compared to the original, assumed valueused in the iterative calculation process.
Boost Converter: Output Diode Selection
To maximize efficiency, a fast switching diode with lowforward drop and low reverse leakage is desired. Theoutput diode in a boost converter conducts current duringthe switch off-time. The peak reverse voltage that thediode must withstand is equal to the regulator outputvoltage. The average forward current in normal operationis equal to the output current, and the peak current is equalto the peak inductor current.
I II
DD PEAK L PEAKO MAX
MAX( ) ( )
( )•–
= = +⎛⎝⎜
⎞⎠⎟1
2 1χ
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 includesthe RTH(JC) for the device plus the thermal resistance fromthe board to the ambient temperature in the enclosure.
Remember to keep the diode lead lengths short and toobserve proper switch-node layout (see Board LayoutChecklist) to avoid excessive ringing and increaseddissipation.
Boost Converter: Output Capacitor Selection
Contributions of ESR (equivalent series resistance), ESL(equivalent series inductance) and the bulk capacitancemust be considered when choosing the correct compo-nent for a given output ripple voltage. The effects of thesethree parameters (ESR, ESL and bulk C) on the outputvoltage ripple waveform are illustrated in Figure 12e for atypical boost converter.
The choice of component(s) begins with the maximumacceptable ripple voltage (expressed as a percentage ofthe output voltage), and how this ripple should be dividedbetween the ESR step and the charging/discharging ∆V.For the purpose of simplicity we will choose 2% for themaximum output ripple, to be divided equally betweenthe ESR step and the charging/discharging ∆V. Thispercentage ripple will change, depending on the require-ments of the application, and the equations providedbelow can easily be modified.
For a 1% contribution to the total ripple voltage, the ESRof the output capacitor can be determined using thefollowing equation:
ESRV
ICOUTO
IN PEAK≤
0 01. •
( )
where:
II
DIN PEAKO MAX
MAX( )
( )•–
= +⎛⎝⎜
⎞⎠⎟1
2 1χ
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For the bulk C component, which also contributes 1% tothe total ripple:
CI
V fOUTO MAX
O≥ ( )
. • •0 01
For many designs it is possible to choose a single capaci-tor type that satisfies both the ESR and bulk C require-ments for the design. In certain demanding applications,however, the ripple voltage can be improved significantlyby connecting two or more types of capacitors in parallel.For example, using a low ESR ceramic capacitor canminimize the ESR step, while an electrolytic capacitor canbe used to supply the required bulk C.
Once the output capacitor ESR and bulk capacitance havebeen determined, the overall ripple voltage waveformshould be verified on a dedicated PC board (see BoardLayout section for more information on component place-ment). Lab breadboards generally suffer from excessiveseries inductance (due to inter-component wiring), andthese parasitics can make the switching waveforms looksignificantly worse than they would be on a properlydesigned PC board.
The output capacitor in a boost regulator experiences highRMS ripple currents, as shown in Figure 12. The RMSoutput capacitor ripple current is:
I IV V
VRMS COUT O MAXO IN MIN
IN MIN( ) ( )
( )
( )•
–≈
Note that the ripple current ratings from capacitor manu-facturers are often based on only 2000 hours of life. Thismakes it advisable to further derate the capacitor or tochoose a capacitor rated at a higher temperature thanrequired. Several capacitors may also be placed in parallelto meet size or height requirements in the design.
Manufacturers such as Nichicon, United Chemicon andSanyo should be considered for high performance through-hole capacitors. The OS-CON semiconductor dielectriccapacitor available from Sanyo has the lowest product ofESR and size of any aluminum electrolytic, at a somewhathigher price.
In surface mount applications, multiple capacitors mayhave to be placed in parallel in order to meet the ESR orRMS current handling requirements of the application.Aluminum electrolytic and dry tantalum capacitors areboth available in surface mount packages. In the case oftantalum, it is critical that the capacitors have been surgetested for use in switching power supplies. An excellentchoice is AVX TPS series of surface mount tantalum. Also,ceramic capacitors are now available with extremely lowESR, ESL and high ripple current ratings.
Boost Converter: Input Capacitor Selection
The input capacitor of a boost converter is less critical thanthe output capacitor, due to the fact that the inductor is inseries with the input and the input current waveform is
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VIN
L D
SW
12a. Circuit Diagram
12b. Inductor and Input Currents
COUT
VOUT
RL
IINIL
12c. Switch Current
ISW
tON
12d. Diode and Output Currents
12e. Output Voltage Ripple Waveform
IO
ID
VOUT(AC)
tOFF
∆VESR
RINGING DUE TOTOTAL INDUCTANCE(BOARD + CAP)
∆VCOUT
Figure 12. Switching Waveforms for a Boost Converter
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LTC1871
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continuous (see Figure 12b). The input voltage source im-pedance determines the size of the input capacitor, whichis typically in the range of 10µF to 100µF. A low ESR capaci-tor is recommended, although it is not as critical as for theoutput capacitor.
The RMS input capacitor ripple current for a boost con-verter is:
IV
L fDRMS CIN
IN MINMAX( )
( ). ••
•= 0 3
Please note that the input capacitor can see a very highsurge current when a battery is suddenly connected to theinput of the converter and solid tantalum capacitors canfail catastrophically under these conditions. Be sure tospecify surge-tested capacitors!
Burst Mode Operation and Considerations
The choice of MOSFET RDS(ON) and inductor value alsodetermines the load current at which the LTC1871 entersBurst Mode operation. When bursting, the controller clampsthe peak inductor current to approximately:
ImV
RBURST PEAKDS ON
( )( )
=30
which represents about 20% of the maximum 150mVSENSE pin voltage. The corresponding average currentdepends upon the amount of ripple current. Lower induc-tor values (higher ∆IL) will reduce the load current at whichBurst Mode operations begins, since it is the peak currentthat is being clamped.
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Table 1. Recommended Component ManufacturersVENDOR COMPONENTS TELEPHONE WEB ADDRESSAVX Capacitors (207) 282-5111 avxcorp.comBH Electronics Inductors, Transformers (952) 894-9590 bhelectronics.comCoilcraft Inductors (847) 639-6400 coilcraft.comCoiltronics Inductors (407) 241-7876 coiltronics.comDiodes, Inc Diodes (805) 446-4800 diodes.comFairchild MOSFETs (408) 822-2126 fairchildsemi.comGeneral Semiconductor Diodes (516) 847-3000 generalsemiconductor.comInternational Rectifier MOSFETs, Diodes (310) 322-3331 irf.comIRC Sense Resistors (361) 992-7900 irctt.comKemet Tantalum Capacitors (408) 986-0424 kemet.comMagnetics Inc Toroid Cores (800) 245-3984 mag-inc.comMicrosemi Diodes (617) 926-0404 microsemi.comMurata-Erie Inductors, Capacitors (770) 436-1300 murata.co.jpNichicon Capacitors (847) 843-7500 nichicon.comOn Semiconductor Diodes (602) 244-6600 onsemi.comPanasonic Capacitors (714) 373-7334 panasonic.comSanyo Capacitors (619) 661-6835 sanyo.co.jpSumida Inductors (847) 956-0667 sumida.comTaiyo Yuden Capacitors (408) 573-4150 t-yuden.comTDK Capacitors, Inductors (562) 596-1212 component.tdk.comThermalloy Heat Sinks (972) 243-4321 aavidthermalloy.comTokin Capacitors (408) 432-8020 tokin.comToko Inductors (847) 699-3430 tokoam.comUnited Chemicon Capacitors (847) 696-2000 chemi-com.comVishay/Dale Resistors (605) 665-9301 vishay.comVishay/Siliconix MOSFETs (800) 554-5565 vishay.comVishay/Sprague Capacitors (207) 324-4140 vishay.comZetex Small-Signal Discretes (631) 543-7100 zetex.com
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The output voltage ripple can increase during Burst Modeoperation if ∆IL is substantially less than IBURST. This canoccur if the input voltage is very low or if a very largeinductor is chosen. At high duty cycles, a skipped cyclecauses the inductor current to quickly decay to zero.However, because ∆IL is small, it takes multiple cycles forthe current to ramp back up to IBURST(PEAK). During thisinductor charging interval, the output capacitor mustsupply the load current and a significant droop in theoutput voltage can occur. Generally, it is a good idea tochoose a value of inductor ∆IL between 25% and 40% ofIIN(MAX). The alternative is to either increase the value ofthe output capacitor or disable Burst Mode operationusing the MODE/SYNC pin.
Burst Mode operation can be defeated by connecting theMODE/SYNC pin to a high logic-level voltage (either witha control input or by connecting this pin to INTVCC). In thismode, the burst clamp is removed, and the chip canoperate at constant frequency from continuous conduc-tion mode (CCM) at full load, down into deep discontinu-ous conduction mode (DCM) at light load. Prior to skip-ping pulses at very light load (i.e., <5% of full load), thecontroller will operate with a minimum switch on-time inDCM. Pulse skipping prevents a loss of control of theoutput at very light loads and reduces output voltageripple.
Efficiency Considerations: How Much Does VDSSensing Help?
The efficiency of a switching regulator is equal to theoutput power divided by the input power (×100%). Per-cent efficiency can be expressed as:
% Efficiency = 100% – (L1 + L2 + L3 + …),
where L1, L2, etc. are the individual loss components asa percentage of the input power. It is often useful toanalyze individual losses to determine what is limiting theefficiency and which change would produce the mostimprovement. Although all dissipative elements in thecircuit produce losses, four main sources usually accountfor the majority of the losses in LTC1871 applicationcircuits:
1. The supply current into VIN. The VIN current is the sumof the DC supply current IQ (given in the ElectricalCharacteristics) and the MOSFET driver and controlcurrents. The DC supply current into the VIN pin istypically about 550µA and represents a small powerloss (much less than 1%) that increases with VIN. Thedriver current results from switching the gate capaci-tance of the power MOSFET; this current is typicallymuch larger than the DC current. Each time the MOSFETis switched on and then off, a packet of gate charge QGis transferred from INTVCC to ground. The resultingdQ/dt is a current that must be supplied to the INTVCCcapacitor through the VIN pin by an external supply. Ifthe IC is operating in CCM:
IQ(TOT) ≈ IQ = f • QG
PIC = VIN • (IQ + f • QG)
2. Power MOSFET switching and conduction losses. Thetechnique of using the voltage drop across the powerMOSFET to close the current feedback loop was chosenbecause of the increased efficiency that results from nothaving a sense resistor. The losses in the power MOSFETare equal to:
PI
DR D
k VI
DC f
FETO MAX
MAXDS ON MAX T
OO MAX
MAXRSS
=⎛
⎝⎜
⎞
⎠⎟
+
( )( )
. ( )
–• • •
• •–
• •
1
1
2
1 85
ρ
The I2R power savings that result from not having adiscrete sense resistor can be calculated almost byinspection.
PI
DR DR SENSE
O MAX
MAXSENSE MAX( )
( )
–• •=
⎛
⎝⎜
⎞
⎠⎟1
2
To understand the magnitude of the improvement withthis VDS sensing technique, consider the 3.3V input, 5Voutput power supply shown in Figure 1. The maximumload current is 7A (10A peak) and the duty cycle is 39%.Assuming a ripple current of 40%, the peak inductorcurrent is 13.8A and the average is 11.5A. With amaximum sense voltage of about 140mV, the sense
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resistor value would be 10mΩ, and the power dissi-pated in this resistor would be 514mW at maximumoutput current. Assuming an efficiency of 90%, thissense resistor power dissipation represents 1.3% ofthe overall input power. In other words, for this appli-cation, the use of VDS sensing would increase theefficiency by approximately 1.3%.
For more details regarding the various terms in theseequations, please refer to the section Boost Converter:Power MOSFET Selection.
3. The losses in the inductor are simply the DC inputcurrent squared times the winding resistance. Express-ing this loss as a function of the output current yields:
PI
DRR WINDING
O MAX
MAXW( )
( )
–•=
⎛
⎝⎜
⎞
⎠⎟1
2
4. Losses in the boost diode. The power dissipation in theboost diode is:
PDIODE = IO(MAX) • VD
The boost diode can be a major source of power loss ina boost converter. For the 3.3V input, 5V output at 7Aexample given above, a Schottky diode with a 0.4Vforward voltage would dissipate 2.8W, which repre-sents 7% of the input power. Diode losses can becomesignificant at low output voltages where the forwardvoltage is a significant percentage of the output voltage.
5. Other losses, including CIN and CO ESR dissipation andinductor core losses, generally account for less than2% of the total additional loss.
Checking Transient Response
The regulator loop response can be verified by looking atthe load transient response. Switching regulators gener-ally take several cycles to respond to an instantaneousstep in resistive load current. When the load step occurs,VO immediately shifts by an amount equal to (∆ILOAD)(ESR),and then CO begins to charge or discharge (depending onthe direction of the load step) as shown in Figure 13. Theregulator feedback loop acts on the resulting error ampoutput signal to return VO to its steady-state value. Duringthis recovery time, VO can be monitored for overshoot orringing that would indicate a stability problem.
A second, more severe transient can occur when connect-ing loads with large (>1µF) supply bypass capacitors. Thedischarged bypass capacitors are effectively put in parallelwith CO, causing a nearly instantaneous drop in VO. Noregulator can deliver enough current to prevent this prob-lem if the load switch resistance is low and it is drivenquickly. The only solution is to limit the rise time of theswitch drive in order to limit the inrush current di/dt to theload.
Boost Converter Design Example
The design example given here will be for the circuit shownin Figure 1. The input voltage is 3.3V, and the output is 5Vat a maximum load current of 7A (10A peak).
1. The duty cycle is:
DV V V
V VO D IN
O D=
++
⎛⎝⎜
⎞⎠⎟ =
++
=– . – .
.. %
5 0 4 3 35 0 4
38 9
2. Pulse-skip operation is chosen so the MODE/SYNC pinis shorted to INTVCC.
3. The operating frequency is chosen to be 300kHz toreduce the size of the inductor. From Figure 5, theresistor from the FREQ pin to ground is 80k.
4. An inductor ripple current of 40% of the maximum loadcurrent is chosen, so the peak input current (which isalso the minimum saturation current) is:
II
DAIN PEAK
O MAX
MAX( )
( )•–
. •– .
.= +⎛⎝⎜
⎞⎠⎟ = =1
2 11 2
71 0 39
13 8χ
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IOUT2A/DIV
VOUT (AC)100mV/DIV
Figure 13. Load Transient Response for a 3.3V Input,5V Output Boost Converter Application, 0.7A to 7A Step
VIN = 3.3VVOUT = 5VMODE/SYNC = INTVCC(PULSE-SKIP MODE)
100µs/DIV 1871 F13
21
LTC1871
sn1871 1871fas
The inductor ripple current is:
∆ = = =II
DAL
O MAX
MAXχ •
–. •
– ..( )
10 4
71 0 39
4 6
And so the inductor value is:
LV
I fD
VA kHz
HIN MIN
LMAX=
∆= = µ( )
••
.. •
• . .3 3
4 6 3000 39 0 93
The component chosen is a 1µH inductor made bySumida (part number CEP125-H 1ROMH) which has asaturation current of greater than 20A.
5. With the input voltage to the IC bootstrapped to theoutput of the power supply (5V), a logic-level MOSFETcan be used. Because the duty cycle is 39%, themaximum SENSE pin threshold voltage is reduced fromits low duty cycle typical value of 150mV to approxi-mately 140mV. Assuming a MOSFET junction tempera-ture of 125°C, the room temperature MOSFET RDS(ON)should be less than:
R VD
I
VA
m
DS ON SENSE MAXMAX
O MAX T
( ) ( )
( )
•–
• •
. •– .
. • • ..
≤+
⎛⎝⎜
⎞⎠⎟
=+
⎛⎝⎜
⎞⎠⎟
= Ω
1
12
0 1401 0 39
1 0 42
7 1 56 8
χρ
The MOSFET used was the Fairchild FDS7760A, whichhas a maximum RDS(ON) of 8mΩ at 4.5V VGS, a BVDSSof greater than 30V, and a gate charge of 37nC at 5VVGS.
6. The diode for this design must handle a maximum DCoutput current of 10A and be rated for a minimumreverse voltage of VOUT, or 5V. A 25A, 15V diode fromOn Semiconductor (MBRB2515L) was chosen for itshigh power dissipation capability.
7. The output capacitor usually consists of a high valuedbulk C connected in parallel with a lower valued, lowESR ceramic. Based on a maximum output ripplevoltage of 1%, or 50mV, the bulk C needs to be greaterthan:
CI
V fA
V kHzF
OUTOUT MAX
OUT≥ =
= µ
( )
. • •
. • •
0 017
0 01 5 300466
The RMS ripple current rating for this capacitor needsto exceed:
I IV V
V
AV V
VA
RMS COUT O MAXO IN MIN
IN MIN( ) ( )
( )
( )•
–
•– ..
≥ =
=75 3 3
3 35
To satisfy this high RMS current demand, four 150µFPanasonic capacitors (EEFUEOJ151R) are required.In parallel with these bulk capacitors, two 22µF, lowESR (X5R) Taiyo Yuden ceramic capacitors(JMK325BJ226MM) are added for HF noise reduction.Check the output ripple with a single oscilloscopeprobe connected directly across the output capacitorterminals, where the HF switching currents flow.
8. The choice of an input capacitor for a boost converterdepends on the impedance of the source supply and theamount of input ripple the converter will safely tolerate.For this particular design and lab setup a 100µF SanyoPoscap (6TPC 100M), in parallel with two 22µF TaiyoYuden ceramic capacitors (JMK325BJ226MM) is re-quired (the input and return lead lengths are kept to afew inches, but the peak input current is close to 20A!).As with the output node, check the input ripple with asingle oscilloscope probe connected across the inputcapacitor terminals.
PC Board Layout Checklist
1. In order to minimize switching noise and improveoutput load regulation, the GND pin of the LTC1871should be connected directly to 1) the negative termi-nal of the INTVCC decoupling capacitor, 2) the negativeterminal of the output decoupling capacitors, 3) thesource of the power MOSFET or the bottom terminal ofthe sense resistor, 4) the negative terminal of the inputcapacitor and 5) at least one via to the ground plane
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immediately adjacent to Pin 6. The ground trace on thetop layer of the PC board should be as wide and shortas possible to minimize series resistance and induc-tance.
2. Beware of ground loops in multiple layer PC boards. Tryto maintain one central ground node on the board anduse the input capacitor to avoid excess input ripple forhigh output current power supplies. If the ground plane
LTC1871
M1
VIN
1871 F14
VOUT
SWITCH NODE IS ALSO THE HEAT SPREADERFOR L1, M1, D1
L1
RT
RC CC
R3
J1CIN
COUT
CVCC
R1
R2
PSEUDO-KELVINSIGNAL GROUND
CONNECTION
TRUE REMOTEOUTPUT SENSING
VIAS TO GROUND PLANE
R4
PIN 1
COUT
BULK C LOW ESR CERAMIC
JUMPER
D1
Figure 14. LTC1871 Boost Converter Suggested Layout
RUN
ITH
FB
FREQ
MODE/SYNC
SENSE
VIN
INTVCC
GATE
GND
LTC1871
+
R4
J110
9
8
7
6
1
2
3
4
5
CVCC
PSEUDO-KELVINGROUND CONNECTION
CIN
M1
D1
L1
VIN
GND
1871 F15VOUT
SWITCHNODE
COUT
RC
R1
RT
BOLD LINES INDICATE HIGH CURRENT PATHS
R2
CC
R3
+
Figure 15. LTC1871 Boost Converter Layout Diagram
23
LTC1871
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is to be used for high DC currents, choose a path awayfrom the small-signal components.
3. Place the CVCC capacitor immediately adjacent to theINTVCC and GND pins on the IC package. This capacitorcarries high di/dt MOSFET gate drive currents. A lowESR and ESL 4.7µF ceramic capacitor works well here.
4. The high di/dt loop from the bottom terminal of theoutput capacitor, through the power MOSFET, throughthe boost diode and back through the output capacitorsshould be kept as tight as possible to reduce inductiveringing. Excess inductance can cause increased stresson the power MOSFET and increase HF noise on theoutput. If low ESR ceramic capacitors are used on theoutput to reduce output noise, place these capacitorsclose to the boost diode in order to keep the seriesinductance to a minimum.
5. Check the stress on the power MOSFET by measuringits drain-to-source voltage directly across the deviceterminals (reference the ground of a single scope probedirectly to the source pad on the PC board). Beware ofinductive ringing which can exceed the maximum speci-fied voltage rating of the MOSFET. If this ringing cannotbe avoided and exceeds the maximum rating of thedevice, either choose a higher voltage device or specifyan avalanche-rated power MOSFET. Not all MOSFETsare created equal (some are more equal than others).
6. Place the small-signal components away from highfrequency switching nodes. In the layout shown inFigure 14, all of the small-signal components have beenplaced on one side of the IC and all of the powercomponents have been placed on the other. This alsoallows the use of a pseudo-Kelvin connection for thesignal ground, where high di/dt gate driver currentsflow out of the IC ground pin in one direction (to thebottom plate of the INTVCC decoupling capacitor) andsmall-signal currents flow in the other direction.
7. If a sense resistor is used in the source of the powerMOSFET, minimize the capacitance between the SENSEpin trace and any high frequency switching nodes. TheLTC1871 contains an internal leading edge blankingtime of approximately 180ns, which should be ad-equate for most applications.
8. For optimum load regulation and true remote sensing,the top of the output resistor divider should connectindependently to the top of the output capacitor (Kelvinconnection), staying away from any high dV/dt traces.Place the divider resistors near the LTC1871 in order tokeep the high impedance FB node short.
9. For applications with multiple switching power con-verters connected to the same input supply, make surethat the input filter capacitor for the LTC1871 is notshared with other converters. AC input current fromanother converter could cause substantial input voltageripple, and this could interfere with the operation of theLTC1871. A few inches of PC trace or wire (L ≈ 100nH)between the CIN of the LTC1871 and the actual sourceVIN should be sufficient to prevent current sharingproblems.
SEPIC Converter Applications
The LTC1871 is also well suited to SEPIC (single-endedprimary inductance converter) converter applications. TheSEPIC converter shown in Figure 16 uses two inductors.The advantage of the SEPIC converter is the input voltagemay be higher or lower than the output voltage, and theoutput is short-circuit protected.
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+
++•
•
•
•
SW L2 COUT RL
VOUT
VIN
C1 D1L1
16a. SEPIC Topology
+
++•
RL
VOUT
VIN
D1
16c. Current Flow During Switch Off-Time
+
++•
RL
VOUT
VIN
VIN
VIN
16b. Current Flow During Switch On-Time
24
LTC1871
sn1871 1871fas
The first inductor, L1, together with the main switch,resembles a boost converter. The second inductor, L2,together with the output diode D1, resembles a flyback orbuck-boost converter. The two inductors L1 and L2 can beindependent but can also be wound on the same core sinceidentical voltages are applied to L1 and L2 throughout theswitching cycle. By making L1 = L2 and winding them onthe same core the input ripple is reduced along with costand size. All of the SEPIC applications information thatfollows assumes L1 = L2 = L.
SEPIC Converter: Duty Cycle Considerations
For a SEPIC converter operating in a continuous conduc-tion mode (CCM), the duty cycle of the main switch is:
DV V
V V VO D
IN O D=
+
+ +
⎛
⎝⎜
⎞
⎠⎟
where VD is the forward voltage of the diode. For convert-ers where the input voltage is close to the output voltagethe duty cycle is near 50%.
The maximum output voltage for a SEPIC converter is:
V V VD
DV
DO MAX IN DMAX
MAXD
MAX( ) –
––
= +( )1
11
The maximum duty cycle of the LTC1871 is typically 92%.
SEPIC Converter: The Peak and AverageInput Currents
The control circuit in the LTC1871 is measuring the inputcurrent (either using the RDS(ON) of the power MOSFET orby means of a sense resistor in the MOSFET source), sothe output current needs to be reflected back to the inputin order to dimension the power MOSFET properly. Basedon the fact that, ideally, the output power is equal to theinput power, the maximum input current for a SEPICconverter is:
I ID
D
The peak input current is
I ID
D
IN MAX O MAXMAX
MAX
IN PEAK O MAXMAX
MAX
( ) ( )
( ) ( )
•–
:
• •–
=
= +⎛
⎝⎜
⎞
⎠⎟
1
12 1χ
The maximum duty cycle, DMAX, should be calculated atminimum VIN.
The constant ‘χ’ represents the fraction of ripple current inthe inductor relative to its maximum value. For example, if30% ripple current is chosen, then χ = 0.30 and the peakcurrent is 15% greater than the average.
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WU UUFigures 17. SEPIC Converter Switching Waveforms
17a. Input Inductor Current
IINIL1SWON
SWOFF
17b. Output Inductor Current
IOIL2
17c. DC Coupling Capacitor Current
IO
IIN
IC1
17e. Output Ripple Voltage
VOUT(AC)
∆VESR
RINGING DUE TOTOTAL INDUCTANCE(BOARD + CAP)
∆VCOUT
17d. Diode Current
IO
ID1
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It is worth noting here that SEPIC converters that operateat high duty cycles (i.e., that develop a high output voltagefrom a low input voltage) can have very high input cur-rents, relative to the output current. Be sure to check thatthe maximum load current will not overload the inputsupply.
SEPIC Converter: Inductor Selection
For most SEPIC applications the equal inductor values willfall in the range of 10µH to 100µH. Higher values willreduce the input ripple voltage and reduce the core loss.Lower inductor values are chosen to reduce physical sizeand improve transient response.
Like the boost converter, the input current of the SEPICconverter is calculated at full load current and minimuminput voltage. The peak inductor current can be signifi-cantly higher than the output current, especially withsmaller inductors and lighter loads. The following formu-las assume CCM operation and calculate the maximumpeak inductor currents at minimum VIN:
I IV VV
I IV V
V
L PEAK O MAXO D
IN MIN
L PEAK O MAXIN MIN D
IN MIN
1
2
12
12
( ) ( )( )
( ) ( )( )
( )
• •
• •
= +⎛
⎝⎜
⎞
⎠⎟
+
= +⎛
⎝⎜
⎞
⎠⎟
+
χ
χ
The ripple current in the inductor is typically 20% to 40%(i.e., a range of ‘χ’ from 0.20 to 0.40) of the maximumaverage input current occurring at VIN(MIN) and IO(MAX)and ∆IL1 = ∆IL2. Expressing this ripple current as afunction of the output current results in the followingequations for calculating the inductor value:
LV
I fDIN MIN
LMAX=
∆( )
••
where
I ID
DL O MAXMAX
MAX
:
• •–( )∆ = χ
1
By making L1 = L2 and winding them on the same core, thevalue of inductance in the equation above is replace by 2L
due to mutual inductance. Doing this maintains the sameripple current and energy storage in the inductors. Forexample, a Coiltronix CTX10-4 is a 10µH inductor with twowindings. With the windings in parallel, 10µH inductanceis obtained with a current rating of 4A (the number of turnshasn’t changed, but the wire diameter has doubled).Splitting the two windings creates two 10µH inductorswith a current rating of 2A each. Therefore, substituting 2Lyields the following equation for coupled inductors:
L LV
I fDIN MIN
LMAX1 2
2= =
∆( )
• ••
Specify the maximum inductor current to safely handleIL(PK) specified in the equation above. The saturationcurrent rating for the inductor should be checked at theminimum input voltage (which results in the highestinductor current) and maximum output current.
SEPIC Converter: Power MOSFET Selection
The power MOSFET serves two purposes in the LTC1871:it represents the main switching element in the powerpath, and its RDS(ON) represents the current sensingelement for the control loop. Important parameters for thepower MOSFET include the drain-to-source breakdownvoltage (BVDSS), the threshold voltage (VGS(TH)), the on-resistance (RDS(ON)) versus gate-to-source voltage, thegate-to-source and gate-to-drain charges (QGS and QGD,respectively), the maximum drain current (ID(MAX)) andthe MOSFET’s thermal resistances (RTH(JC) and RTH(JA)).
The gate drive voltage is set by the 5.2V INTVCC lowdropout regulator. Consequently, logic-level thresholdMOSFETs should be used in most LTC1871 applications.If low input voltage operation is expected (e.g., supplyingpower from a lithium-ion battery), then sublogic-levelthreshold MOSFETs should be used.
The maximum voltage that the MOSFET switch mustsustain during the off-time in a SEPIC converter is equal tothe sum of the input and output voltages (VO + VIN). As aresult, careful attention must be paid to the BVDSS speci-fications for the MOSFETs relative to the maximum actualswitch voltage in the application. Many logic-level devicesare limited to 30V or less. Check the switching waveformsdirectly across the drain and source terminals of the power
26
LTC1871
sn1871 1871fas
MOSFET to ensure the VDS remains below the maximumrating for the device.
During the MOSFET’s on-time, the control circuit limits themaximum voltage drop across the power MOSFET toabout 150mV (at low duty cycle). The peak inductorcurrent is therefore limited to 150mV/RDS(ON). The rela-tionship between the maximum load current, duty cycleand the RDS(ON) of the power MOSFET is:
RV
I V VV
DS ONSENSE MAX
O MAXT O D
IN MIN
( )( )
( )
( )
••
•≤+
⎛⎝⎜
⎞⎠⎟ +⎛
⎝⎜
⎞
⎠⎟ +
1
12
1
1χ
ρ
The VSENSE(MAX) term is typically 150mV at low duty cycleand is reduced to about 100mV at a duty cycle of 92% dueto slope compensation, as shown in Figure 8. The constant‘χ’ in the denominator represents the ripple current in theinductors relative to their maximum current. For example,if 30% ripple current is chosen, then χ = 0.30. The ρT termaccounts for the temperature coefficient of the RDS(ON) ofthe MOSFET, which is typically 0.4%/°C. Figure 9 illus-trates the variation of normalized RDS(ON) over tempera-ture for a typical power MOSFET.
Another method of choosing which power MOSFET to useis to check what the maximum output current is for a givenRDS(ON) since MOSFET on-resistances are available indiscrete values.
IV
R V VV
O MAXSENSE MAX
DS ONT O D
IN MIN
( )( )
( )
( )
••
•≤+
⎛⎝⎜
⎞⎠⎟ +⎛
⎝⎜
⎞
⎠⎟ +
1
12
1
1χ
ρ
Calculating Power MOSFET Switching and ConductionLosses and Junction Temperatures
In order to calculate the junction temperature of the powerMOSFET, the power dissipated by the device must beknown. This power dissipation is a function of the dutycycle, the load current and the junction temperature itself.As a result, some iterative calculation is normally requiredto determine a reasonably accurate value. Since the con-troller is using the MOSFET as both a switching and asensing element, care should be taken to ensure that theconverter is capable of delivering the required load current
over all operating conditions (load, line and temperature)and for the worst-case specifications for VSENSE(MAX) andthe RDS(ON) of the MOSFET listed in the manufacturer’sdata sheet.
The power dissipated by the MOSFET in a SEPIC converteris:
P ID
DR D
k V V ID
DC f
FET O MAXMAX
MAXDS ON MAX T
IN MIN O O MAXMAX
MAXRSS
=⎛⎝⎜
⎞⎠⎟
+ +( )
( ) ( )
( ).
( )
•–
• • •
• • •–
• •
1
1
2
1 85
ρ
The first term in the equation above represents the I2Rlosses in the device and the second term, the switchinglosses. The constant k = 1.7 is an empirical factor inverselyrelated to the gate drive current and has the dimension of1/current.
From a known power dissipated in the power MOSFET, itsjunction temperature can be obtained using the followingformula:
TJ = TA + PFET •RTH(JA)
The RTH(JA) to be used in this equation normally includesthe RTH(JC) for the device plus the thermal resistance fromthe board to the ambient temperature in the enclosure.This value of TJ can then be used to check the originalassumption for the junction temperature in the iterativecalculation process.
SEPIC Converter: Output Diode Selection
To maximize efficiency, a fast-switching diode with lowforward drop and low reverse leakage is desired. Theoutput diode in a SEPIC converter conducts current duringthe switch off-time. The peak reverse voltage that thediode must withstand is equal to VIN(MAX) + VO. Theaverage forward current in normal operation is equal to theoutput current, and the peak current is equal to:
I IV VVD PEAK O MAX
O D
IN MIN( ) ( )
( )• •= +
⎛⎝⎜
⎞⎠⎟
++
⎛
⎝⎜
⎞
⎠⎟1
21
χ
The power dissipated by the diode is:
PD = IO(MAX) • VD
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and the diode junction temperature is:
TJ = TA + PD • RTH(JA)
The RTH(JA) to be used in this equation normally includesthe RTH(JC) for the device plus the thermal resistance fromthe board to the ambient temperature in the enclosure.
SEPIC Converter: Output Capacitor Selection
Because of the improved performance of today’s electro-lytic, tantalum and ceramic capacitors, engineers need toconsider the contributions of ESR (equivalent series resis-tance), ESL (equivalent series inductance) and the bulkcapacitance when choosing the correct component for agiven output ripple voltage. The effects of these threeparameters (ESR, ESL, and bulk C) on the output voltageripple waveform are illustrated in Figure 17 for a typicalcoupled-inductor SEPIC converter.
The choice of component(s) begins with the maximumacceptable ripple voltage (expressed as a percentage ofthe output voltage), and how this ripple should be dividedbetween the ESR step and the charging/discharging ∆V.For the purpose of simplicity we will choose 2% for themaximum output ripple, to be divided equally between theESR step and the charging/discharging ∆V. This percent-age ripple will change, depending on the requirements ofthe application, and the equations provided below caneasily be modified.
For a 1% contribution to the total ripple voltage, the ESRof the output capacitor can be determined using thefollowing equation:
ESRV
ICOUTO
D PEAK≤
0 01. •
( )
where:
I IV VVD PEAK O MAX
O D
IN MIN( ) ( )
( )• •= +
⎛⎝⎜
⎞⎠⎟
++
⎛
⎝⎜
⎞
⎠⎟1
21
χ
For the bulk C component, which also contributes 1% tothe total ripple:
CI
V fOUTO MAX
O≥ ( )
. • •0 01
For many designs it is possible to choose a single capaci-tor type that satisfies both the ESR and bulk C require-ments for the design. In certain demanding applications,however, the ripple voltage can be improved significantlyby connecting two or more types of capacitors in parallel.For example, using a low ESR ceramic capacitor canminimize the ESR step, while an electrolytic or tantalumcapacitor can be used to supply the required bulk C.
Once the output capacitor ESR and bulk capacitance havebeen determined, the overall ripple voltage waveformshould be verified on a dedicated PC board (see BoardLayout section for more information on component place-ment). Lab breadboards generally suffer from excessiveseries inductance (due to inter-component wiring), andthese parasitics can make the switching waveforms looksignificantly worse than they would be on a properlydesigned PC board.
The output capacitor in a SEPIC regulator experienceshigh RMS ripple currents, as shown in Figure 17. The RMSoutput capacitor ripple current is:
I IV
VRMS COUT O MAXO
IN MIN( ) ( )
( )•=
Note that the ripple current ratings from capacitor manu-facturers are often based on only 2000 hours of life. Thismakes it advisable to further derate the capacitor or tochoose a capacitor rated at a higher temperature thanrequired. Several capacitors may also be placed in parallelto meet size or height requirements in the design.
Manufacturers such as Nichicon, United Chemicon andSanyo should be considered for high performance through-hole capacitors. The OS-CON semiconductor dielectriccapacitor available from Sanyo has the lowest product ofESR and size of any aluminum electrolytic, at a somewhathigher price.
In surface mount applications, multiple capacitors mayhave to be placed in parallel in order to meet the ESR orRMS current handling requirements of the application.Aluminum electrolytic and dry tantalum capacitors areboth available in surface mount packages. In the case oftantalum, it is critical that the capacitors have been surgetested for use in switching power supplies. An excellent
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choice is AVX TPS series of surface mount tantalum. Also,ceramic capacitors are now available with extremely lowESR, ESL and high ripple current ratings.
SEPIC Converter: Input Capacitor Selection
The input capacitor of a SEPIC converter is less criticalthan the output capacitor due to the fact that an inductoris in series with the input and the input current waveformis triangular in shape. The input voltage source impedancedetermines the size of the input capacitor which is typicallyin the range of 10µF to 100µF. A low ESR capacitor isrecommended, although it is not as critical as for theoutput capacitor.
The RMS input capacitor ripple current for a SEPIC con-verter is:
I IRMS CIN L( ) •= ∆1
12
Please note that the input capacitor can see a very highsurge current when a battery is suddenly connected to theinput of the converter and solid tantalum capacitors canfail catastrophically under these conditions. Be sure tospecify surge-tested capacitors!
SEPIC Converter: Selecting the DC Coupling Capacitor
The coupling capacitor C1 in Figure 16 sees nearly arectangular current waveform as shown in Figure 17.During the switch off-time the current through C1 is IO(VO/VIN) while approximately – IO flows during the on-time.This current waveform creates a triangular ripple voltageon C1:
∆ =+ +
−VI
C fV
V V VC P P
O MAX O
IN O D1
1( )
( )
••
The maximum voltage on C1 is then:
V VV
C MAX INC P P
11
2( )
( )= +∆ −
which is typically close to VIN(MAX). The ripple currentthrough C1 is:
I IV VVRMS C O MAX
O D
IN MIN( ) ( )
( )•1 =
+
The value chosen for the DC coupling capacitor normallystarts with the minimum value that will satisfy 1) the RMScurrent requirement and 2) the peak voltage requirement(typically close to VIN). Low ESR ceramic and tantalumcapacitors work well here.
SEPIC Converter Design Example
The design example given here will be for the circuit shownin Figure 18. The input voltage is 5V to 15V and the outputis 12V at a maximum load current of 1.5A (2A peak).
1. The duty cycle range is:
DV V
V V VtoO D
IN O D=
++ +
⎛⎝⎜
⎞⎠⎟ = 45 5 71 4. % . %
2. The operating mode chosen is pulse skipping, so theMODE/SYNC pin is shorted to INTVCC.
3. The operating frequency is chosen to be 300kHz toreduce the size of the inductors; the resistor from theFREQ pin to ground is 80k.
4. An inductor ripple current of 40% is chosen, so the peakinput current (which is also the minimum saturationcurrent) is:
I IV VV
A
L PEAK O MAXO D
IN MIN1 1
2
10 42
1 512 0 5
54 5
( ) ( )( )
• •
.• . •
..
= +⎛⎝⎜
⎞⎠⎟
+
= +⎛⎝⎜
⎞⎠⎟
+=
χ
The inductor ripple current is:
∆ =
= =
I ID
D
A
L O MAXMAX
MAXχ • •
–
. • . •.
– ..
( ) 1
0 4 1 50 714
1 0 7141 5
APPLICATIO S I FOR ATIO
WU UU
29
LTC1871
sn1871 1871fas
RUN
ITH
FB
FREQ
MODE/SYNC
SENSE
VIN
INTVCC
GATE
GND
1
2
3
4
5
10
9
8
7
6
LTC1871
RT80.6k1%
R112.1k
1%R2105k
1%
R31M
CVCC4.7µFX5R
CIN47µF
M1
CIN, COUT1: KEMET T495X476K020ASCDC, COUT2: TAIYO YUDEN TMK432BJ106MMD1: INTERNATIONAL RECTIFIER 30BQ040
D1
•
•
L1*
L2*
RC33k
CC16.8nF
CC247pF
COUT147µF20V×2
VIN4.5V to 15V
VOUT12V1.5A(2A PEAK)
GND1871 F018a
+COUT210µF25VX5R×2
L1, L2: BH ELECTRONICS BH510-1007 (*COUPLED INDUCTORS)M1: INTERNATIONAL RECTIFIER IRF7811W
CDC10µF25VX5R
+
Figure 18a. 4.5V to 15V Input, 12V/2A Output SEPIC Converter
OUTPUT CURRENT (A)
50
EFFI
CIEN
CY (%
)
55
60
90
85
80
75
70
65
95
0.001 0.1 1 10
1871 F18b
450.01
100
VIN = 4.5V
VIN = 15V
VIN = 12V
VO = 12VMODE = INTVCC
Figure 18b. SEPIC Efficiency vs Output Current
APPLICATIO S I FOR ATIO
WU UU
And so the inductor value is:
LV
I fD
kHIN MIN
LMAX=
∆= = µ( )
• ••
• . •• .
25
2 1 5 3000 714 4
The component chosen is a BH Electronics BH510-1007, which has a saturation current of 8A.
5. With an minimum input voltage of 5V, only logic-levelpower MOSFETs should be considered. Because themaximum duty cycle is 71.4%, the maximum SENSEpin threshold voltage is reduced from its low duty cycletypical value of 150mV to approximately 120mV.Assuming a MOSFET junction temperature of 125°C,the room temperature MOSFET RDS(ON) should be lessthan:
RV
I V VV
m
DS ONSENSE MAX
O MAXT O D
IN MIN
( )( )
( )
( )
••
•
..
•. • .
•.
.
≤+
⎛⎝⎜
⎞⎠⎟ +⎛
⎝⎜
⎞
⎠⎟ +
=⎛⎝⎜
⎞⎠⎟ +
= Ω
1
12
1
1
0 121 5
11 2 1 5
112 5
51
12 7
χρ
For a SEPIC converter, the switch BVDSS rating must begreater than VIN(MAX) + VO, or 27V. This comes close toan IRF7811W, which is rated to 30V, and has a maxi-mum room temperature RDS(ON) of 12mΩ at VGS = 4.5V.
30
LTC1871
sn1871 1871fas
VOUT (AC)200mV/DIV
IOUT0.5A/DIV
Figure 19. LTC1871 SEPIC Converter Load Step Response
VIN = 4.5VVOUT = 12V
VOUT (AC)200mV/DIV
IOUT0.5A/DIV
VIN = 15VVOUT = 12V
50µs/DIV 1871 F19a 50µs/DIV 1871 F19b
APPLICATIO S I FOR ATIO
WU UU
6. The diode for this design must handle a maximum DCoutput current of 2A and be rated for a minimumreverse voltage of VIN + VOUT, or 27V. A 3A, 40V diodefrom International Rectifier (30BQ040) is chosen for itssmall size, relatively low forward drop and acceptablereverse leakage at high temp.
7. The output capacitor usually consists of a high valuedbulk C connected in parallel with a lower valued, lowESR ceramic. Based on a maximum output ripplevoltage of 1%, or 120mV, the bulk C needs to be greaterthan:
CI
V fA
V kHzF
OUTOUT MAX
OUT≥ =
= µ
( )
. • •.
. • •
0 011 5
0 01 12 30041
The RMS ripple current rating for this capacitor needsto exceed:
I IV
V
AVV
A
RMS COUT O MAXO
IN MIN( ) ( )
( )•
. • .
≥ =
=1 5125
2 3
To satisfy this high RMS current demand, two 47µFKemet capacitors (T495X476K020AS) are required. Asa result, the output ripple voltage is a low 50mV to60mV. In parallel with these tantalums, two 10µF, lowESR (X5R) Taiyo Yuden ceramic capacitors(TMK432BJ106MM) are added for HF noise reduction.
Check the output ripple with a single oscilloscope probeconnected directly across the output capacitor termi-nals, where the HF switching currents flow.
8. The choice of an input capacitor for a SEPIC converterdepends on the impedance of the source supply and theamount of input ripple the converter will safely tolerate.For this particular design and lab setup, a single 47µFKemet tantalum capacitor (T495X476K020AS) is ad-equate. As with the output node, check the input ripplewith a single oscilloscope probe connected across theinput capacitor terminals. If any HF switching noise isobserved it is a good idea to decouple the input with alow ESR, X5R ceramic capacitor as close to the VIN andGND pins as possible.
9. The DC coupling capacitor in a SEPIC converter ischosen based on its RMS current requirement andmust be rated for a minimum voltage of VIN plus the ACripple voltage. Start with the minimum value whichsatisfies the RMS current requirement and then checkthe ripple voltage to ensure that it doesn’t exceed the DCrating.
I IV VV
AV V
VA
RMS CI O MAXO D
IN MIN( ) ( )
( )•
. •.
.
≥+
=+
=1 512 0 5
52 4
For this design a single 10µF, low ESR (X5R) TaiyoYuden ceramic capacitor (TMK432BJ106MM) isadequate.
31
LTC1871
sn1871 1871fas
TYPICAL APPLICATIO S
U
2.5V to 3.3V Input, 5V/2A Output Boost Converter
RUN
ITH
FB
FREQ
MODE/SYNC
SENSE
VIN
INTVCC
GATE
GND
1
2
3
4
5
10
9
8
7
6
LTC1871
RT80.6k1%
R112.1k
1%R237.4k
1%
CVCC4.7µFX5R
CIN47µF6.3V
M1
CIN: SANYO POSCAP 6TPA47MCOUT1: SANYO POSCAP 6TPB150MCOUT2: TAIYO YUDEN JMK316BJ106MLCVCC: TAIYO YUDEN LMK316BJ475ML
D1L1
1.8µH
RC22k
CC16.8nF
CC247pF
COUT1150µF6.3V×2
VIN2.5V to 3.3V
VOUT5V2A
GND1871 TA01a
+COUT210µF6.3VX5R×2
D1: INTERNATIONAL RECTIFIER 30BQ015L1: TOKO DS104C2 B952AS-1R8NM1: SILICONIX/VISHAY Si9426
+
OUTPUT CURRENT (A)
65
EFFI
CIEN
CY (%
)
95
100
60
55
90
75
85
80
70
0.001 0.1 1 10
1871 TA01b
500.01
Output Efficiency at 2.5V and 3.3V Input
32
LTC1871
sn1871 1871fas
TYPICAL APPLICATIO S
U
RUN
ITH
FB
FREQ
MODE/SYNC
SENSE
VIN
INTVCC
GATE
GND
1
2
3
4
5
10
9
8
7
6
LTC1871
RT1150k5%
RS10.007Ω1W
EXT CLOCKINPUT (200kHz)
R28.45k1%
CVCC14.7µFX5R
CIN22.2µF35VX5R
M1
D1
L25.6µH
L5*0.3µH
CC147pF
CFB147pF
VIN18V to 27V
GND
VOUT28V14A
1871 TA04
COUT12.2µF35VX5R×3
COUT2330µF50V
CIN1: SANYO 50MV330AX CIN2, 3: TAIYO YUDEN GMK325BJ225MNCOUT2, 4, 5: SANYO 50MV330AXCOUT1, 3, 6: TAIYO YUDEN GMK325BJ225MNCVCC1, 2: TAIYO YUDEN LMK316BJ475ML
L1 TO L4: SUMIDA CEP125-5R6MC-HD L5: SUMIDA CEP125-0R3NC-NDD1, D2: ON SEMICONDUCTOR MBR2045CTM1, M2: INTERNATIONAL RECTIFIER IRLZ44NS
R193.1k
1%
L15.6µH
*L5, COUT5 AND COUT6 ARE ANOPTIONAL SECONDARYFILTER TO REDUCEOUTPUT RIPPLE FROM<500mVP-P TO <100mVP-P
+
COUT5*330µF
50V×4 COUT6*
2.2µF35VX5R
CIN1330µF50V
+
RUN
ITH
FB
FREQ
MODE/SYNC
SENSE
VIN
INTVCC
GATE
GND
1
2
3
4
5
10
9
8
7
6
LTC1871
RT2150k5%
R312.1k1%
RC22k
R4261k
1%
CVCC24.7µFX5R
CIN32.2µF35VX5R
M2
D2
L45.6µH
CC247pF
CC36.8nF
CFB247pF
COUT32.2µF35VX5R×3
COUT4330µF50V
L35.6µH
+
+
RS20.007Ω1W
18V to 27V Input, 28V Output, 400W 2-Phase, Low Ripple, Synchronized RF Base Station Power Supply (Boost)
RUN
ITH
FB
FREQ
MODE/SYNC
SENSE
VIN
INTVCC
GATE
GND
1
2
3
4
5
10
9
8
7
6
LTC1871
RT60.4k1%
RS0.02Ω
R4127Ω
1%
R254.9k1%
R31.10k
1%
CVCC4.7µF10VX5R
CIN11µF16VX5R
M1
D1
L1*
•
RC22k
CC16.8nF
CC2100pF
CDC14.7µF16VX5R
VIN5V to 12V
VOUT112V0.4A
GND
VOUT2–12V0.4A1871 TA03
COUT14.7µF16VX5R×3
COUT24.7µF16VX5R×3
D1, D2: MBS120T3L1 TO L3: COILTRONICS VP1-0076 (*COUPLED INDUCTORS)M1: SILICONIX/VISHAY Si4840
R1127k
1%
CIN247µF16VAVX
CDC24.7µF
16VX5R
+L2*
L3*
D2
•
•
NOTE:1. VIN UVLO+ = 4.47V VIN UVLO– = 4.14V
5V to 12V Input, ±12V/0.2A Output SEPIC Converter with Undervoltage Lockout
33
LTC1871
sn1871 1871fas
4.5V to 28V Input, 5V/2A Output SEPIC Converter with Undervoltage Lockout and Soft-Start
TYPICAL APPLICATIO S
U
RUN
ITH
FB
FREQ
MODE/SYNC
SENSE
VIN
INTVCC
GATE
GND
1
2
3
4
5
10
9
8
7
6
LTC1871
RT162k1%
C21µFX5R
NOTES:1. VIN UVLO+ = 4.17V VIN UVLO– = 3.86V2. SOFT-START dVOUT/dt = 5V/6ms
R449.9k
1%R3154k
1%
Q1
R1115k
1%R254.9k1%
CVCC4.7µF10VX5R
CIN12.2µF35VX5R
CIN222µF35V
M1
D1
•
•
L1*
L2*
RC12k
CC18.2nF
C14.7nF
CC247pF
R6750Ω
R5100Ω
COUT1330µF6.3V
VIN4.5V to 28V
VOUT5V2A(3A TO 4A PEAK)
GND1871 TA02a
+
COUT222µF6.3VX5R
CDC2.2µF25VX5R×3
+
CIN1, CDC: TAIYO YUDEN GMK325BJ225MNCIN2: AVX TPSE226M035R0300COUT1: SANYO 6TPB330MCOUT2: TAIYO YUDEN JMK325BJ226MNCVCC: LMK316BJ475ML
D1: INTERNATIONAL RECTIFIER 30BQ040L1, L2: BH ELECTRONICS BH510-1007 (*COUPLED INDUCTORS)M1: SILICONIX/VISHAY Si4840Q1: PHILIPS BC847BF
Soft-Start
VOUT1V/DIV
1ms/DIV 1871 TA02b
Load Step Response at VIN = 4.5V
VOUT100mV/DIV
(AC)
250µs/DIV 1871 TA02c
IOUT1A/DIV
(DC)
Load Step Response at VIN = 28V
VOUT100mV/DIV
(AC)
250µs/DIV 1871 TA02d
IOUT1A/DIV
(DC)
2.2A
0.5A
2.2A
0.5A
34
LTC1871
sn1871 1871fas
TYPICAL APPLICATIO S
U
5V to 15V Input, –5V/5A Output Positive-to-Negative Converter with Undervoltage Lockout and Level-Shifted Feedback
RUN
ITH
FB
FREQ
MODE/SYNC
SENSE
VIN
INTVCC
GATE
GND
1
2
3
4
5
10
9
8
7
6
LTC1871
RT80.6k1%
R1154k
1%R2
68.1k1%
C11nF
CVCC4.7µF10VX5R
C210nF
R410k1%
R540.2k1%R3
10k1%
4
3
2
6
1
CIN47µF16VX5R
M1
CIN: TDK C5750X5R1C476MCDC: TDK C5750X7R1E226MCOUT: TDK C5750X5R0J107MCVCC: TAIYO YUDEN LMK316BJ475ML
D1
• •
L1* L2*
RC10k
CC110nF
CC2330pF
VIN5V to 15VVOUT–5V5A
GND
1871 TA05
COUT100µF6.3VX5R×2
D1: ON SEMICONDUCTOR MBRB2035CTL1, L2: COILTRONICS VP5-0053 (*3 WINDINGS IN PARALLEL
FOR THE PRIMARY, 3 IN PARALLEL FOR SECONDARY)M1: INTERNATIONAL RECTIFIER IRF7822
CDC22µF25VX7R
–
+LT1783
35
LTC1871
sn1871 1871fas
U
PACKAGE DESCRIPTIO
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 represen-tation that the interconnection of its circuits as described herein will not infringe on existing patent rights.
MS Package10-Lead Plastic MSOP
(Reference LTC DWG # 05-08-1661)
MSOP (MS) 0603
0.53 ± 0.152(.021 ± .006)
SEATINGPLANE
0.18(.007)
1.10(.043)MAX
0.17 – 0.27(.007 – .011)
TYP
0.127 ± 0.076(.005 ± .003)
0.86(.034)REF
0.50(.0197)
BSC
1 2 3 4 5
4.90 ± 0.152(.193 ± .006)
0.497 ± 0.076(.0196 ± .003)
REF8910 7 6
3.00 ± 0.102(.118 ± .004)
(NOTE 3)
3.00 ± 0.102(.118 ± .004)
(NOTE 4)
NOTE:1. DIMENSIONS IN MILLIMETER/(INCH)2. DRAWING NOT TO SCALE3. DIMENSION DOES NOT INCLUDE MOLD FLASH, PROTRUSIONS OR GATE BURRS. MOLD FLASH, PROTRUSIONS OR GATE BURRS SHALL NOT EXCEED 0.152mm (.006") PER SIDE4. DIMENSION DOES NOT INCLUDE INTERLEAD FLASH OR PROTRUSIONS. INTERLEAD FLASH OR PROTRUSIONS SHALL NOT EXCEED 0.152mm (.006") PER SIDE5. LEAD COPLANARITY (BOTTOM OF LEADS AFTER FORMING) SHALL BE 0.102mm (.004") MAX
0.254(.010) 0° – 6° TYP
DETAIL “A”
DETAIL “A”
GAUGE PLANE
5.23(.206)MIN
3.20 – 3.45(.126 – .136)
0.889 ± 0.127(.035 ± .005)
RECOMMENDED SOLDER PAD LAYOUT
0.305 ± 0.038(.0120 ± .0015)
TYP
0.50(.0197)
BSC
36
LTC1871
sn1871 1871fas
© LINEAR TECHNOLOGY CORPORATION 2001
LT/TP 0204 1K REV A • PRINTED IN USALinear Technology Corporation1630 McCarthy Blvd., Milpitas, CA 95035-7417(408) 432-1900 FAX: (408) 434-0507 www.linear.com
RELATED PARTSPART NUMBER DESCRIPTION COMMENTS
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LTC3704 Positive-to-Negative DC/DC Controller No RSENSE, Current Mode Control, 50kHz to 1MHz
+
RUN
ITH
FB
FREQ
MODE/SYNC
SENSE
VIN
INTVCC
GATE
GND
LTC1871
RT120k
f = 200kHz
*COILTRONICS VP5-0155 (PRIMARY = 3 WINDINGS IN PARALLEL)
C14.7µFX5R
+ CIN220µF16VTPS
C310µF25VX5R
IRL2910
RS0.012Ω
C80.1µF
D310BQ0605
•
•
VIN7V TO 12V
T1*1, 2, 3
RC82k
CC11nF
CC2100pF
CR1nF
R149.9k1%
R2150k1%
D410BQ0606
•
D210BQ0604
•
C410µF25VX5R
COUT3.3µF100V
GND
VOUT1–24V200mA
VOUT2–72V200mA
C510µF25VX5R
4
3
1871 TA06
2
6
110k
RF110k1%
RF2196k1%
C24.7µF50VX5R
–
+LT1783
High Power SLIC Supply with Undervoltage Lockout(Also See the LTC3704 Data Sheet)
TYPICAL APPLICATIO S
U