C4532X7R2A225M [TI]

LM3402/LM3402HV 0.5A Constant Current Buck Regulator for Driving High Power LEDs; LM3402 / LM3402HV 0.5A恒流降压稳压器用于驱动高功率LED
C4532X7R2A225M
型号: C4532X7R2A225M
厂家: TEXAS INSTRUMENTS    TEXAS INSTRUMENTS
描述:

LM3402/LM3402HV 0.5A Constant Current Buck Regulator for Driving High Power LEDs
LM3402 / LM3402HV 0.5A恒流降压稳压器用于驱动高功率LED

稳压器 驱动
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LM3402,LM3402HV  
LM3402/LM3402HV 0.5A Constant Current Buck Regulator for Driving High  
Power LEDs  
Literature Number: SNVS450D  
February 5, 2010  
LM3402/LM3402HV  
0.5A Constant Current Buck Regulator for Driving High  
Power LEDs  
General Description  
Features  
The LM3402/02HV are monolithic switching regulators de-  
signed to deliver constant currents to high power LEDs. Ideal  
for automotive, industrial, and general lighting applications,  
they contain a high-side N-channel MOSFET switch with a  
current limit of 735 mA (typical) for step-down (Buck) regula-  
tors. Hysteretic control with controlled on-time coupled with  
an external resistor allow the converter output voltage to ad-  
just as needed to deliver a constant current to series and  
series - parallel connected arrays of LEDs of varying number  
and type, LED dimming by pulse width modulation (PWM),  
broken/open LED protection, low-power shutdown and ther-  
mal shutdown complete the feature set.  
Integrated 0.5A N-channel MOSFET  
VIN Range from 6V to 42V (LM3402)  
VIN Range from 6V to 75V (LM3402HV)  
500 mA Output Current Over Temperature  
Cycle-by-Cycle Current Limit  
No Control Loop Compensation Required  
Separate PWM Dimming and Low Power Shutdown  
Supports all-ceramic output capacitors and capacitor-less  
outputs  
Thermal shutdown protection  
MSOP-8, PSOP-8 Packages  
Applications  
LED Driver  
Constant Current Source  
Automotive Lighting  
General Illumination  
Industrial Lighting  
Typical Application  
20192101  
© 2010 National Semiconductor Corporation  
201921  
www.national.com  
Connection Diagrams  
20192145  
8-Lead Plastic PSOP-8 Package  
NS Package Number MRA08B  
20192102  
8-Lead Plastic MSOP-8 Package  
NS Package Number MUA08A  
Ordering Information  
Order Number  
LM3402MM  
Package Type  
NSC Package Drawing  
Supplied As  
1000 units on tape and reel  
3500 units on tape and reel  
1000 units on tape and reel  
3500 units on tape and reel  
95 units in anti-static rails  
2500 units on tape and reel  
95 units in anti-static rails  
2500 units on tape and reel  
LM3402MMX  
LM3402HVMM  
LM3402HVMMX  
LM3402MR  
MSOP-8  
MUA08A  
LM3402MRX  
LM3402HVMR  
LM3402HVMRX  
PSOP-8  
MRA08B  
Pin Descriptions  
Pin(s)  
Name  
SW  
Description  
Application Information  
Connect this pin to the output inductor and Schottky diode.  
1
2
3
Switch pin  
BOOT  
DIM  
MOSFET drive bootstrap pin Connect a 10 nF ceramic capacitor from this pin to SW.  
Input for PWM dimming  
Connect a logic-level PWM signal to this pin to enable/disable the  
power FET and reduce the average light output of the LED array.  
4
5
GND  
CS  
Ground pin  
Connect this pin to system ground.  
Current sense feedback pin  
Set the current through the LED array by connecting a resistor from  
this pin to ground.  
6
7
RON  
VCC  
VIN  
On-time control pin  
A resistor connected from this pin to VIN sets the regulator controlled  
on-time.  
Output of the internal 7V linear Bypass this pin to ground with a minimum 0.1 µF ceramic capacitor  
regulator  
with X5R or X7R dielectric.  
8
Input voltage pin  
Nominal operating input range is 6V to 42V (LM3402) or 6V to 75V  
(LM3402HV).  
DAP  
GND  
Thermal Pad  
Connect to ground. Place 4 to 6 vias from DAP to bottom layer ground  
plane.  
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2
Absolute Maximum Ratings  
Operating Ratings  
(LM3402) (Note 1)  
(LM3402) (Note 1)  
If Military/Aerospace specified devices are required,  
please contact the National Semiconductor Sales Office/  
Distributors for availability and specifications.  
VIN  
6V to 42V  
−40°C to +125°C  
Junction Temperature Range  
Thermal Resistance θJA (MSOP-8 Package)  
(Note 3)  
VIN to GND  
BOOT to GND  
SW to GND  
-0.3V to 45V  
-0.3V to 59V  
-1.5V  
200°C/W  
50°C/W  
Thermal Resistance θJA (PSOP-8 Package)  
(Note 5)  
BOOT to VCC  
BOOT to SW  
VCC to GND  
DIM to GND  
CS to GND  
-0.3V to 45V  
-0.3V to 14V  
-0.3V to 14V  
-0.3V to 7V  
-0.3V to 7V  
-0.3V to 7V  
150°C  
RON to GND  
Junction Temperature  
Storage Temp. Range  
ESD Rating (Note 2)  
Soldering Information  
-65°C to 125°C  
2kV  
Lead Temperature (Soldering,  
10sec)  
Infrared/Convection Reflow (15sec)  
260°C  
235°C  
3
www.national.com  
Storage Temp. Range  
ESD Rating (Note 2)  
Soldering Information  
Lead Temperature (Soldering,  
10sec)  
-65°C to 125°C  
2kV  
Absolute Maximum Ratings  
(LM3402HV) (Note 1)  
If Military/Aerospace specified devices are required,  
please contact the National Semiconductor Sales Office/  
Distributors for availability and specifications.  
260°C  
235°C  
Infrared/Convection Reflow (15sec)  
VIN to GND  
-0.3V to 76V  
-0.3V to 90V  
-1.5V  
Operating Ratings  
BOOT to GND  
SW to GND  
(LM3402HV) (Note 1)  
BOOT to VCC  
BOOT to SW  
VCC to GND  
DIM to GND  
CS to GND  
RON to GND  
Junction Temperature  
-0.3V to 76V  
-0.3V to 14V  
-0.3V to 14V  
-0.3V to 7V  
-0.3V to 7V  
-0.3V to 7V  
150°C  
VIN  
6V to 75V  
−40°C to +125°C  
Junction Temperature Range  
Thermal Resistance θJA (MSOP-8 Package)  
(Note 3)  
200°C/W  
50°C/W  
Thermal Resistance θJA (PSOP-8 Package)  
(Note 5)  
www.national.com  
4
Electrical Characteristics VIN = 24V unless otherwise indicated. Typicals and limits appearing in plain type apply  
for TA = TJ = +25°C. (Note 4) Limits appearing in boldface type apply over full Operating Temperature Range. Datasheet min/max  
specification limits are guaranteed by design, test, or statistical analysis.  
LM3402  
Symbol  
Parameter  
Conditions  
Min  
Typ  
Max  
Units  
SYSTEM PARAMETERS  
tON-1  
tON-2  
On-time 1  
On-time 2  
2.1  
2.75  
650  
3.4  
µs  
ns  
VIN = 10V, RON = 200 kΩ  
VIN = 40V, RON = 200 kΩ  
490  
810  
LM3402HV  
Symbol  
Parameter  
Conditions  
Min  
Typ  
Max  
Units  
SYSTEM PARAMETERS  
tON-1 On-time 1  
tON-2 On-time 2  
2.1  
2.75  
380  
3.4  
µs  
ns  
VIN = 10V, RON = 200 kΩ  
VIN = 70V, RON = 200 kΩ  
290  
470  
LM3402/LM3402HV  
Symbol  
Parameter  
Conditions  
Min  
194  
Typ  
Max  
206  
Units  
REGULATION AND OVER-VOLTAGE COMPARATORS  
VREF-REG  
VREF-0V  
CS Regulation Threshold  
CS Over-voltage Threshold  
CS Bias Current  
CS Decreasing, SW turns on  
CS Increasing, SW turns off  
CS = 0V  
200  
300  
0.1  
mV  
mV  
µA  
ICS  
SHUTDOWN  
VSD-TH  
Shutdown Threshold  
Shutdown Hysteresis  
RON / SD Increasing  
RON / SD Decreasing  
0.3  
6.6  
0.7  
40  
1.05  
7.4  
V
VSD-HYS  
OFF TIMER  
tOFF-MIN  
mV  
Minimum Off-time  
CS = 0V  
300  
ns  
INTERNAL REGULATOR  
VCC-REG VCC Regulated Output  
VIN-DO  
7
V
mV  
V
VIN - VCC Dropout  
ICC = 5 mA, 6.0V < VIN < 8.0V  
VIN Increasing  
VIN Decreasing  
VIN = 6V  
300  
8.8  
225  
55  
VCC-BP-TH  
VCC-BP-HYS  
VCC-Z-6  
VCC Bypass Threshold  
VCC Bypass Hysteresis  
mV  
VCC Output Impedance  
(0 mA < ICC < 5 mA)  
VCC-Z-8  
VIN = 8V  
50  
VCC-Z-24  
VCC-LIM  
VIN = 24V  
0.4  
16  
VCC Current Limit (Note 3)  
VIN = 24V, VCC = 0V  
VCC Increasing  
mA  
V
VCC-UV-TH  
VCC Under-voltage Lock-out  
Threshold  
5.25  
VCC-UV-HYS  
VCC-UV-DLY  
VCC Under-voltage Lock-out  
Hysteresis  
VCC Decreasing  
150  
3
mV  
µs  
VCC Under-voltage Lock-out  
Filter Delay  
100 mV Overdrive  
IIN-OP  
IIN Operating Current  
Non-switching, CS = 0V  
RON / SD = 0V  
600  
90  
900  
180  
µA  
µA  
IIN-SD  
IIN Shutdown Current  
CURRENT LIMIT  
ILIM  
Current Limit Threshold  
530  
735  
940  
mA  
5
www.national.com  
Symbol  
Parameter  
Conditions  
DIM Increasing  
Min  
2.2  
Typ  
Max  
0.8  
Units  
DIM COMPARATOR  
VIH  
Logic High  
Logic Low  
V
V
VIL  
DIM Decreasing  
DIM = 1.5V  
IDIM-PU  
DIM Pull-up Current  
75  
µA  
N-MOSFET AND DRIVER  
RDS-ON  
Buck Switch On Resistance  
ISW = 200mA, BOOT-SW = 6.3V  
0.7  
3
1.5  
4
V
VDR-UVLO  
BOOT Under-voltage Lock-out BOOT–SW Increasing  
1.7  
Threshold  
VDR-HYS  
BOOT Under-voltage Lock-out BOOT–SW Decreasing  
Hysteresis  
400  
mV  
THERMAL SHUTDOWN  
TSD  
Thermal Shutdown Threshold  
165  
25  
°C  
°C  
TSD-HYS  
Thermal Shutdown Hysteresis  
Junction to Ambient  
THERMAL RESISTANCE  
MSOP-8 Package  
PSOP-8 Package  
200  
50  
°C/W  
θJA  
Note 1: Absolute Maximum Ratings indicate limits beyond which damage to the device may occur. Operating Ratings indicate conditions for which the device is  
intended to be functional, but specific performance is not guaranteed. For guaranteed specifications and the test conditions, see Electrical Characteristics.  
Note 2: The human body model is a 100 pF capacitor discharged through a 1.5 kresistor into each pin.  
Note 3: VCC provides self bias for the internal gate drive and control circuits. Device thermal limitations limit external loading.  
Note 4: Typical specifications represent the most likely parametric norm at 25°C operation.  
Note 5: θJA of 50°C/W with DAP soldered to a minimum of 2 square inches of 1 oz. copper on the top or bottom PCB layer.  
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6
 
 
 
 
 
Typical Performance Characteristics  
VREF vs Temperature (VIN = 24V)  
VREF vs VIN, LM3402 (TA = 25°C)  
20192129  
20192130  
VREF vs VIN, LM3402HV (TA = 25°C)  
Current Limit vs Temperature (VIN = 24V)  
20192131  
20192132  
Current Limit vs VIN, LM3402 (TA = 25°C)  
Current Limit vs VIN, LM3402HV (TA = 25°C)  
20192133  
20192134  
7
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TON vs VIN,  
RON = 100 kΩ (TA = 25°C)  
TON vs VIN,  
(TA = 25°C)  
20192136  
20192135  
20192137  
20192138  
TON vs VIN,  
(TA = 25°C)  
TON vs RON, LM3402  
(TA = 25°C)  
20192144  
TON vs RON, LM3402HV  
(TA = 25°C)  
VCC vs VIN  
(TA = 25°C)  
20192139  
www.national.com  
8
VO-MAX vs fSW, LM3402  
(TA = 25°C)  
VO-MIN vs fSW, LM3402  
(TA = 25°C)  
20192140  
20192141  
VO-MAX vs fSW, LM3402HV  
(TA = 25°C)  
VO-MIN vs fSW, LM3402HV  
(TA = 25°C)  
20192142  
20192143  
9
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Block Diagram  
20192103  
created as the LED current flows through the current setting  
resistor, RSNS, to ground. VSNS is fed back to the CS pin,  
where it is compared against a 200 mV reference, VREF. The  
on-comparator turns on the power MOSFET when VSNS falls  
below VREF. The power MOSFET conducts for a controlled  
on-time, tON, set by an external resistor, RON, and by the input  
voltage, VIN. On-time is governed by the following equation:  
Application Information  
THEORY OF OPERATION  
The LM3402 and LM3402HV are buck regulators with a wide  
input voltage range, low voltage reference, and a fast output  
enable/disable function. These features combine to make  
them ideal for use as a constant current source for LEDs with  
forward currents as high as 500 mA. The controlled on-time  
(COT) architecture is a combination of hysteretic mode con-  
trol and a one-shot on-timer that varies inversely with input  
voltage. Hysteretic operation eliminates the need for small-  
signal control loop compensation. When the converter runs in  
continuous conduction mode (CCM) the controlled on-time  
maintains a constant switching frequency over the range of  
input voltage. Fast transient response, PWM dimming, a low  
power shutdown mode, and simple output overvoltage pro-  
tection round out the functions of the LM3402/02HV.  
At the conclusion of tON the power MOSFET turns off for a  
minimum off-time, tOFF-MIN, of 300 ns. Once tOFF-MIN is com-  
plete the CS comparator compares VSNS and VREF again,  
waiting to begin the next cycle.  
CONTROLLED ON-TIME OVERVIEW  
Figure 1 shows the feedback system used to control the cur-  
rent through an array of LEDs. A voltage signal, VSNS, is  
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10  
20192105  
FIGURE 1. Comparator and One-Shot  
The LM3402/02HV regulators should be operated in contin-  
uous conduction mode (CCM), where inductor current stays  
positive throughout the switching cycle. During steady-state  
operationin the CCM, the converter maintains a constant  
switching frequency, which can be selected using the follow-  
ing equation:  
The maximum number of LEDs, nMAX, that can be placed in  
a single series string is governed by VO(MAX) and the maxi-  
mum forward voltage of the LEDs used, VF(MAX), using the  
expression:  
VF = forward voltage of each LED, n = number of LEDs in  
series  
At low switching frequency the maximum duty cycle and out-  
put voltage are higher, allowing the LM3402/02HV to regulate  
output voltages that are nearly equal to input voltage. The  
following equation relates switching frequency to maximum  
output voltage.  
AVERAGE LED CURRENT ACCURACY  
The COT architecture regulates the valley of ΔVSNS, the AC  
portion of VSNS. To determine the average LED current (which  
is also the average inductor current) the valley inductor cur-  
rent is calculated using the following expression:  
In this equation tSNS represents the propagation delay of the  
CS comparator, and is approximately 220 ns. The average  
inductor/LED current is equal to IL-MIN plus one-half of the in-  
ductor current ripple, ΔiL:  
MINIMUM OUTPUT VOLTAGE  
The minimum recommended on-time for the LM3402/02HV is  
300 ns. This lower limit for tON determines the minimum duty  
cycle and output voltage that can be regulated based on input  
voltage and switching frequency. The relationship is deter-  
mined by the following equation:  
IF = IL = IL-MIN + ΔiL / 2  
Detailed information for the calculation of ΔiL is given in the  
Design Considerations section.  
MAXIMUM OUTPUT VOLTAGE  
The 300 ns minimum off-time limits on the maximum duty cy-  
cle of the converter, DMAX, and in turn ,the maximum output  
voltage VO(MAX) is determined by the following equations:  
11  
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HIGH VOLTAGE BIAS REGULATOR  
current while the MOSFET is on) exceeds 735 mA (typical).  
The power MOSFET is disabled for a cool-down time that is  
10x the steady-state on-time. At the conclusion of this cool-  
down time the system re-starts. If the current limit condition  
persists the cycle of cool-down time and restarting will con-  
tinue, creating a low-power hiccup mode, minimizing thermal  
stress on the LM3402/02HV and the external circuit compo-  
nents.  
The LM3402/02HV contains an internal linear regulator with  
a 7V output, connected between the VIN and the VCC pins.  
The VCC pin should be bypassed to the GND pin with a 0.1  
µF ceramic capacitor connected as close as possible to the  
pins of the IC. VCC tracks VIN until VIN reaches 8.8V (typical)  
and then regulates at 7V as VIN increases. Operation begins  
when VCC crosses 5.25V.  
OVER-VOLTAGE/OVER-CURRENT COMPARATOR  
INTERNAL MOSFET AND DRIVER  
The CS pin includes an output over-voltage/over-current  
comparator that will disable the power MOSFET whenever  
VSNS exceeds 300 mV. This threshold provides a hard limit  
for the output current. Output current overshoot is limited to  
300 mV / RSNS by this comparator during transients.  
The LM3402/02HV features an internal power MOSFET as  
well as a floating driver connected from the SW pin to the  
BOOT pin. Both rise time and fall time are 20 ns each (typical)  
and the approximate gate charge is 3 nC. The high-side rail  
for the driver circuitry uses a bootstrap circuit consisting of an  
internal high-voltage diode and an external 10 nF capacitor,  
CB. VCC charges CB through the internal diode while the power  
MOSFET is off. When the MOSFET turns on, the internal  
diode reverse biases. This creates a floating supply equal to  
the VCC voltage minus the diode drop to drive the MOSFET  
when its source voltage is equal to VIN.  
The OVP/OCP comparator can also be used to prevent the  
output voltage from rising to VO(MAX) in the event of an output  
open-circuit. This is the most common failure mode for LEDs,  
due to breaking of the bond wires. In a current regulator an  
output open circuit causes VSNS to fall to zero, commanding  
maximum duty cycle. Figure 2 shows a method using a zener  
diode, Z1, and zener limiting resistor, RZ, to limit output volt-  
age to the reverse breakdown voltage of Z1 plus 200 mV. The  
zener diode reverse breakdown voltage, VZ, must be greater  
than the maximum combined VF of all LEDs in the array. The  
maximum recommended value for RZ is 1 kΩ.  
As discussed in the Maximum Output Voltage section, there  
is a limit to how high VO can rise during an output open-circuit  
that is always less than VIN. If no output capacitor is used, the  
output stage of the LM3402/02HV is capable of withstanding  
VO(MAX) indefinitely, however the voltage at the output end of  
the inductor will oscillate and can go above VIN or below 0V.  
A small (typically 10 nF) capacitor across the LED array  
dampens this oscillation. For circuits that use an output ca-  
pacitor, the system can still withstand VO(MAX) indefinitely as  
long as CO is rated to handle VIN. The high current paths are  
blocked in output open-circuit and the risk of thermal stress is  
minimal, hence the user may opt to allow the output voltage  
to rise in the case of an open-circuit LED failure.  
FAST SHUTDOWN FOR PWM DIMMING  
The DIM pin of the LM3402/02HV is a TTL logic compatible  
input for low frequency PWM dimming of the LED. A logic low  
(below 0.8V) at DIM will disable the internal MOSFET and  
shut off the current flow to the LED array. While the DIM pin  
is in a logic low state the support circuitry (driver, bandgap,  
VCC) remains active in order to minimize the time needed to  
turn the LED array back on when the DIM pin sees a logic  
high (above 2.2V). A 75 µA (typical) pull-up current ensures  
that the LM3402/02HV is on when DIM pin is open circuited,  
eliminating the need for a pull-up resistor. Dimming frequen-  
cy, fDIM, and duty cycle, DDIM, are limited by the LED current  
rise time and fall time and the delay from activation of the DIM  
pin to the response of the internal power MOSFET. In general,  
fDIM should be at least one order of magnitude lower than the  
steady state switching frequency in order to prevent aliasing.  
PEAK CURRENT LIMIT  
The current limit comparator of the LM3402/02HV will engage  
whenever the power MOSFET current (equal to the inductor  
20192112  
FIGURE 2. Output Open Circuit Protection  
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12  
LOW POWER SHUTDOWN  
long as the logic low voltage is below the over temperature  
minimum threshold of 0.3V. Noise filter circuitry on the RON  
pin can cause a few pulses with a longer on-time than normal  
after RON is grounded or released. In these cases the OVP/  
OCP comparator will ensure that the peak inductor or LED  
The LM3402/02HV can be switched to a low power state (IIN-  
= 90 µA) by grounding the RON pin with a signal-level  
SD  
MOSFET as shown in Figure 3. Low power MOSFETs like the  
2N7000, 2N3904, or equivalent are recommended devices  
for putting the LM3402/02HV into low power shutdown. Logic  
gates can also be used to shut down the LM3402/02HV as  
current does not exceed 300 mV / RSNS  
.
20192113  
FIGURE 3. Low Power Shutdown  
THERMAL SHUTDOWN  
ceeded. The threshold for thermal shutdown is 165°C with a  
25°C hysteresis (both values typical). During thermal shut-  
down the MOSFET and driver are disabled.  
Internal thermal shutdown circuitry is provided to protect the  
IC in the event that the maximum junction temperature is ex-  
13  
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ered, making the magnetics smaller and less expensive.  
Alternatively, the circuit could be run at lower frequency but  
keep the same inductor value, improving the efficiency and  
expanding the range of output voltage that can be regulated.  
Both the peak current limit and the OVP/OCP comparator still  
monitor peak inductor current, placing a limit on how large  
ΔiL can be even if ΔiF is made very small. A parallel output  
capacitor is also useful in applications where the inductor or  
input voltage tolerance is poor. Adding a capacitor that re-  
duces ΔiF to well below the target provides headroom for  
changes in inductance or VIN that might otherwise push the  
peak LED ripple current too high.  
Design Considerations  
SWITCHING FREQUENCY  
Switching frequency is selected based on the tradeoffs be-  
tween efficiency (better at low frequency), solution size/cost  
(smaller at high frequency), and the range of output voltage  
that can be regulated (wider at lower frequency.) Many appli-  
cations place limits on switching frequency due to EMI sen-  
sitivity. The on-time of the LM3402/02HV can be programmed  
for switching frequencies ranging from the 10’s of kHz to over  
1 MHz. The maximum switching frequency is limited only by  
the minimum on-time requirement.  
Figure 4 shows the equivalent impedances presented to the  
inductor current ripple when an output capacitor, CO, and its  
equivalent series resistance (ESR) are placed in parallel with  
the LED array. The entire inductor ripple current flows through  
RSNS to provide the required 25 mV of ripple voltage for proper  
operation of the CS comparator.  
LED RIPPLE CURRENT  
Selection of the ripple current, ΔiF, through the LED array is  
analogous to the selection of output ripple voltage in a stan-  
dard voltage regulator. Where the output ripple in a voltage  
regulator is commonly ±1% to ±5% of the DC output voltage,  
LED manufacturers generally recommend values for ΔiF  
ranging from ±5% to ±20% of IF. Higher LED ripple current  
allows the use of smaller inductors, smaller output capacitors,  
or no output capacitors at all. The advantages of higher ripple  
current are reduction in the solution size and cost. Lower rip-  
ple current requires more output inductance, higher switching  
frequency, or additional output capacitance. The advantages  
of lower ripple current are a reduction in heating in the LED  
itself and greater range of the average LED current before the  
current limit of the LED or the driving circuitry is reached.  
BUCK CONVERTERS WITHOUT OUTPUT CAPACITORS  
The buck converter is unique among non-isolated topologies  
because of the direct connection of the inductor to the load  
during the entire switching cycle. By definition an inductor will  
control the rate of change of current that flows through it, and  
this control over current ripple forms the basis for component  
selection in both voltage regulators and current regulators. A  
current regulator such as the LED driver for which the  
LM3402/02HV was designed focuses on the control of the  
current through the load, not the voltage across it. A constant  
current regulator is free of load current transients, and has no  
need of output capacitance to supply the load and maintain  
output voltage. Referring to the Typical Application circuit on  
the front page of this datasheet, the inductor and LED can  
form a single series chain, sharing the same current. When  
no output capacitor is used, the same equations that govern  
inductor ripple current, ΔiL, also apply to the LED ripple cur-  
rent, ΔiF. For a controlled on-time converter such as  
LM3402/02HV the ripple current is described by the following  
expression:  
20192115  
FIGURE 4. LED and CO Ripple Current  
To calculate the respective ripple currents the LED array is  
represented as a dynamic resistance, rD. LED dynamic resis-  
tance is not always specified on the manufacturer’s  
datasheet, but it can be calculated as the inverse slope of the  
LED’s VF vs. IF curve. Note that dividing VF by IF will give an  
incorrect value that is 5x to 10x too high. Total dynamic re-  
sistance for a string of n LEDs connected in series can be  
calculated as the rD of one device multiplied by n. Inductor  
ripple current is still calculated with the expression from Buck  
Regulators without Output Capacitors. The following equa-  
tions can then be used to estimate ΔiF when using a parallel  
capacitor:  
A minimum ripple voltage of 25 mV is recommended at the  
CS pin to provide good signal-to-noise ratio (SNR). The CS  
pin ripple voltage, ΔVSNS, is described by the following:  
The calculation for ZC assumes that the shape of the inductor  
ripple current is approximately sinusoidal.  
ΔVSNS = ΔiF x RSNS  
Small values of CO that do not significantly reduce ΔiF can  
also be used to control EMI generated by the switching action  
of the LM3402/02HV. EMI reduction becomes more important  
as the length of the connections between the LED and the  
rest of the circuit increase.  
BUCK CONVERTERS WITH OUTPUT CAPACITORS  
A capacitor placed in parallel with the LED or array of LEDs  
can be used to reduce the LED current ripple while keeping  
the same average current through both the inductor and the  
LED array. This technique is demonstrated in Design Exam-  
ple 1. With this topology the output inductance can be low-  
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14  
INPUT CAPACITORS  
dependent on the selection of D1 at low duty cycles, where  
the recirculating diode carries the load current for an increas-  
ing percentage of the time. This power dissipation can be  
calculated by checking the typical diode forward voltage, VD,  
from the I-V curve on the product datasheet and then multi-  
plying it by ID. Diode datasheets will also provide a typical  
junction-to-ambient thermal resistance, θJA, which can be  
used to estimate the operating die temperature of the Schot-  
tky. Multiplying the power dissipation (PD = ID x VD) by θJA  
gives the temperature rise. The diode case size can then be  
selected to maintain the Schottky diode temperature below  
the operational maximum.  
Input capacitors at the VIN pin of the LM3402/02HV are se-  
lected using requirements for minimum capacitance and rms  
ripple current. The input capacitors supply pulses of current  
approximately equal to IF while the power MOSFET is on, and  
are charged up by the input voltage while the power MOSFET  
is off. Switching converters such as the LM3402/02HV have  
a negative input impedance due to the decrease in input cur-  
rent as input voltage increases. This inverse proportionality of  
input current to input voltage can cause oscillations (some-  
times called ‘power supply interaction’) if the magnitude of the  
negative input impedance is greater the the input filter  
impedance. Minimum capacitance can be selected by com-  
paring the input impedance to the converter’s negative resis-  
tance; however this requires accurate calculation of the input  
voltage source inductance and resistance, quantities which  
can be difficult to determine. An alternative method to select  
the minimum input capacitance, CIN(MIN), is to select the max-  
imum voltage ripple which can be tolerated. This value,ΔvIN  
(MAX), is equal to the change in voltage across CIN during the  
converter on-time, when CIN supplies the load current. CIN  
(MIN) can be selected with the following:  
LED CURRENT DURING DIM MODE  
The LM3402 contains high speed MOSFET gate drive cir-  
cuitry that switches the main internal power MOSFET be-  
tween “on” and “off” states. This circuitry uses current derived  
from the VCC regulator to charge the MOSFET during turn-  
on, then dumps current from the MOSFET gate to the source  
(the SW pin) during turn-off. As shown in the block diagram,  
the MOSFET drive circuitry contains a gate drive under-volt-  
age lockout (UVLO) circuit that ensures the MOSFET remains  
off when there is inadequate VCC voltage for proper operation  
of the driver. This watchdog circuitry is always running in-  
cluding during DIM and shutdown modes, and supplies a  
small amount of current from VCC to SW. Because the SW  
pin is connected directly to the LEDs through the buck induc-  
tor, this current returns to ground through the LEDs. The  
amount of current sourced is a function of the SW voltage, as  
shown in Figure 5.  
A good starting point for selection of CIN is to use an input  
voltage ripple of 5% to 10% of VIN. A minimum input capaci-  
tance of 2x the CIN(MIN) value is recommended for all  
LM3402/02HV circuits. To determine the rms current rating,  
the following formula can be used:  
Ceramic capacitors are the best choice for the input to the  
LM3402/02HV due to their high ripple current rating, low ESR,  
low cost, and small size compared to other types. When se-  
lecting a ceramic capacitor, special attention must be paid to  
the operating conditions of the application. Ceramic capaci-  
tors can lose one-half or more of their capacitance at their  
rated DC voltage bias and also lose capacitance with ex-  
tremes in temperature. A DC voltage rating equal to twice the  
expected maximum input voltage is recommended. In addi-  
tion, the minimum quality dielectric which is suitable for  
switching power supply inputs is X5R, while X7R or better is  
preferred.  
20192157  
RECIRCULATING DIODE  
The LM3402/02HV is a non-synchronous buck regulator that  
requires a recirculating diode D1 (see the Typical Application  
circuit) to carrying the inductor current during the MOSFET  
off-time. The most efficient choice for D1 is a Schottky diode  
due to low forward drop and near-zero reverse recovery time.  
D1 must be rated to handle the maximum input voltage plus  
any switching node ringing when the MOSFET is on. In prac-  
tice all switching converters have some ringing at the switch-  
ing node due to the diode parasitic capacitance and the lead  
inductance. D1 must also be rated to handle the average cur-  
rent, ID, calculated as:  
FIGURE 5. LED Current From SW Pin  
Though most power LEDs are designed to run at several  
hundred milliamps, some can be seen to glow with a faint light  
at extremely low current levels, as low as a couple microamps  
in some instances. In lab testing, the forward voltage was  
found to be approximately 2V for LEDs that exhibited visible  
light at these low current levels. For LEDs that did not show  
light emission at very low current levels, the forward voltage  
was found to be around 900mV. It is important to remember  
that the forward voltage is also temperature dependent, de-  
creasing at higher temperatures. Consequently, with a maxi-  
mum Vcc voltage of 7.4V, current will be observed in the LEDs  
if the total stack voltage is less than about 6V at a forward  
current of several microamps. No current is observed if the  
stack voltage is above 6V, as shown in Figure 5. The need for  
ID = (1 – D) x IF  
This calculation should be done at the maximum expected  
input voltage. The overall converter efficiency becomes more  
15  
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absolute darkness during DIM mode is also application de-  
pendent. It will not affect regular PWM dimming operation.  
represented as a short from the pin to ground as the extreme  
localized heat of the ESD / EOS event causes the aluminum  
metal on the chip to melt, causing the short. This situation is  
common to all integrated circuits and not just unique to the  
LM340X device.  
The fix for this issue is extremely simple. Place a resistor from  
the SW pin to ground according to the chart below.  
Number of LEDs  
Resistor Value (kΩ)  
CS PIN PROTECTION  
1
2
20  
50  
When hot swapping in a load (e.g. test points, load boards,  
LED stack), any residual charge on the load will be immedi-  
ately transferred through the output capacitor to the CS pin,  
which is then damaged as shown in Figure 6 below. The EOS  
event due to the residual charge from the load is represented  
3
90  
4
150  
200  
300  
5
as VTRANSIENT  
.
>5  
From measurements, we know that the 8V ESD structure on  
the CS pin can typically withstand 25mA of direct current  
(DC). Adding a 1kresistor in series with the CS pin, shown  
in Figure 7, results in the majority of the transient energy to  
pass through the discrete sense resistor rather than the de-  
vice. The series resistor limits the peak current that can flow  
during a transient event, thus protecting the CS pin. With the  
1kresistor shown, a 33V, 49A transient on the LED return  
connector terminal could be absorbed as calculated by:  
The luminaire designer should ensure that the suggested re-  
sistor is effective in eliminating the off-state light output. A  
combination of calculations based on LED manufacturer data  
and lab measurements over temperature will ensure the best  
design.  
Transient Protection  
Considerations  
Considerations need to be made when external sources,  
loads or connections are made to the switching converter cir-  
cuit due to the possibility of Electrostatic Discharge (ESD) or  
Electric Over Stress (EOS) events occurring and damaging  
the integrated circuit (IC) device. All IC device pins contain  
zener based clamping structures that are meant to clamp  
ESD. ESD events are very low energy events, typically less  
than 5µJ (microjoules). Any event that transfers more energy  
than this may damage the ESD structure. Damage is typically  
V = 25mA * 1k+ 8V = 33V  
I = 33V / 0.67= 49A  
This is an extremely high energy event, so the protection  
measures previously described should be adequate to solve  
this issue.  
20192158  
FIGURE 6. CS Pin, Transient Path  
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20192159  
FIGURE 7. CS Pin, Transient Path with Protection  
Adding a resistor in series with the CS pin causes the ob-  
served output LED current to shift very slightly. The reason  
for this is twofold: (1) the CS pin has about 20pF of inherent  
capacitance inside it which causes a slight delay (20ns for a  
1kseries resistor), and (2) the comparator that is watching  
the voltage at the CS pin uses a pnp bipolar transistor at its  
input. The base current of this pnp transistor is approximately  
100nA which will cause a 0.1mV change in the 200mV thresh-  
old. These are both very minor changes and are well under-  
stood. The shift in current can either be neglected or taken  
into consideration by changing the current sense resistance  
slightly.  
on the CS pin requires additional consideration. As shown in  
Figure 8, adding a zener diode from the output to the CS pin  
(with the series resistor) for output overvoltage protection will  
now again allow the transient energy to be passed through  
the CS pin’s ESD structure thereby damaging it.  
Adding an additional series resistor to the CS pin as shown  
in Figure 9 will result in the majority of the transient energy to  
pass through the sense resistor thereby protecting the  
LM340X device.  
CS PIN PROTECTION WITH OVP  
When designing output overvoltage protection into the switch-  
ing converter circuit using a zener diode, transient protection  
17  
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20192160  
FIGURE 8. CS Pin with OVP, Transient Path  
20192161  
FIGURE 9. CS Pin with OVP, Transient Path with Protection  
VIN PIN PROTECTION  
switching converter circuit, damage to the VIN pin can still  
occur.  
The VIN pin also has an ESD structure from the pin to GND  
with a breakdown voltage of approximately 80V. Any transient  
that exceeds this voltage may damage the device. Although  
transient absorption is usually present at the front end of a  
When VIN is hot swapped in, the current that rushes in to  
charge CIN up to the VIN value also charges (energizes) the  
circuit board trace inductance as shown in Figure 10. The ex-  
cited trace inductance then resonates with the input capaci-  
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18  
 
 
tance (similar to an under-damped LC tank circuit) and  
causes voltages at the VIN pin to rise well in excess of both  
VIN and the voltage at the module input connector as clamped  
by the input TVS. If the resonating voltage at the VIN pin ex-  
ceeds the 80V breakdown voltage of the ESD structure, the  
ESD structure will activate and then “snap-back” to a lower  
voltage due to its inherent design. If this lower snap-back  
voltage is less than the applied nominal VIN voltage, then sig-  
nificant current will flow through the ESD structure resulting  
in the IC being damaged.  
An additional TVS or small zener diode should be placed as  
close as possible to the VIN pins of each IC on the board, in  
parallel with the input capacitor as shown in Figure 11. A mi-  
nor amount of series resistance in the input line would also  
help, but would lower overall conversion efficiency. For this  
reason, NTC resistors are often used as inrush limiters in-  
stead.  
20192162  
FIGURE 10. VIN Pin with Typical Input Protection  
19  
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20192163  
FIGURE 11. VIN Pin with Additional Input Protection  
GENERAL COMMENTS REGARDING OTHER PINS  
A regulated DC voltage input of 24V ±10% will power a single  
1W white LED at a forward current of 350 mA ±5%. The typical  
forward voltage of a 1W InGaN LED is 3.5V, hence the esti-  
mated average output voltage will be 3.7V. The objective of  
this application is to place the complete current regulator and  
LED in the compact space formerly occupied by an MR16  
halogen light bulb. (The LED will be on a separate metal-core  
PCB.) Switching frequency will be as fast as the 300 ns tON  
limit allows, with the emphasis on space savings over effi-  
ciency. Efficiency cannot be ignored, however, as the con-  
fined space with little air-flow requires a maximum tempera-  
ture rise of 40°C in each circuit component. A complete bill of  
materials can be found in Table 1 at the end of this datasheet.  
Any pin that goes “off-board” through a connector should have  
series resistance of at least 1kto 10kin series with it to  
protect it from ESD or other transients. These series resistors  
limit the peak current that can flow (or cause a voltage drop)  
during a transient event, thus protecting the pin and the de-  
vice. Pins that are not used should not be left floating. They  
should instead be tied to GND or to an appropriate voltage  
through resistance.  
Design Example 1: LM3402  
The first example circuit will guide the user through compo-  
nent selection for an architectural accent lighting application.  
20192119  
FIGURE 12. Schematic for Design Example 1  
RON and tON  
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20  
 
ΔiL(MIN) = [(26.4 – 3.7) x 300 x 10-9] / 39.6 x 10-6  
To select RON the expression relating tON to input voltage from  
the Controlled On-time Overview section can be re-written as:  
= 172 mAP-P  
ΔiL(MAX) = [(26.4 – 3.7) x 300 x 10-9] / 26.4 x 10-6  
= 258 mAP-P  
Minimum on-time occurs at the maximum VIN, which is 24V x  
110% = 26.4V. RON is therefore calculated as:  
The third specification for an inductor is the peak current rat-  
ing, normally given as the point at which the inductance drops  
off by a given percentage due to saturation of the core. The  
worst-case peak current occurs at maximum input voltage  
and at minimum inductance, and can be determined with the  
equation from the Design Considerations section:  
RON = (300 x 10-9 x 26.4) / 1.34 x 10-10 = 59105 Ω  
The closest 1% tolerance resistor is 59.0 k. The switching  
frequency of the circuit can then be found using the equation  
relating RON to fSW  
:
fSW = 3.7 / (59000 x 1.34 x 10-10) = 468 kHz  
IL(PEAK) = 0.35 + 0.258 / 2 = 479 mA  
USING AN OUTPUT CAPACITOR  
The inductor will be the largest component used in this design.  
Because the application does not require any PWM dimming,  
an output capacitor can be used to greatly reduce the induc-  
tance needed without worry of slowing the potential PWM  
dimming frequency. The total solution size will be reduced by  
using an output capacitor and small inductor as opposed to  
one large inductor.  
For this example the peak current rating of the inductor should  
be greater than 479 mA. In the case of a short circuit across  
the LED array, the LM3402 will continue to deliver rated cur-  
rent through the short but will reduce the output voltage to  
equal the CS pin voltage of 200 mV. Worst-case peak current  
in this condition is equal to:  
ΔiL(LED-SHORT) = [(26.4 – 0.2) x 300 x 10-9] / 26.4 x 10-6  
= 298 mAP-P  
OUTPUT INDUCTOR  
Knowing that an output capacitor will be used, the inductor  
can be selected for a larger current ripple. The desired max-  
IL(PEAK) = 0.35 + 0.149 = 499 mA  
imum value for ΔiL is ±30%, or 0.6 x 350 mA = 210 mAP-P  
.
In the case of a short at the switch node, the output, or from  
the CS pin to ground the short circuit current limit will engage  
at a typical peak current of 735 mA. In order to prevent in-  
ductor saturation during these short circuits the inductor’s  
peak current rating must be above 735 mA. The device se-  
lected is an off-the-shelf inductor rated 33 µH ±20% with a  
DCR of 96 mand a peak current rating of 0.82A. The phys-  
ical dimensions of this inductor are 7.0 x 7.0 x 4.5 mm.  
Minimum inductance is selected at the maximum input volt-  
age. Re-arranging the equation for current ripple selection  
yields the following:  
LMIN = [(26.4 – 3.7) x 300 x 10-9] / (0.6 x 0.35) = 32.4 µH  
RSNS  
The current sensing resistor value can be determined by re-  
arranging the expression for average LED current from the  
LED Current Accuracy section:  
The closest standard inductor value is 33 µH. Off-the-shelf  
inductors rated at 33 µH are available from many magnetics  
manufacturers.  
Inductor datasheets should contain three specifications which  
are used to select the inductor. The first of these is the aver-  
age current rating, which for a buck regulator is equal to the  
average load current, or IF. The average current rating is given  
by a specified temperature rise in the inductor, normally 40°  
C. For this example, the average current rating should be  
greater than 350 mA to ensure that heat from the inductor  
does not reduce the lifetime of the LED or cause the LM3402  
to enter thermal shutdown.  
RSNS = 0.74Ω, tSNS = 220 ns  
Sub-1resistors are available in both 1% and 5% tolerance.  
A 1%, 0.75resistor will give the best accuracy of the aver-  
age LED current. To determine the resistor size the power  
dissipation can be calculated as:  
The second specification is the tolerance of the inductance  
itself, typically ±10% to ±30% of the rated inductance. In this  
example an inductor with a tolerance of ±20% will be used.  
With this tolerance the typical, minimum, and maximum in-  
ductor current ripples can be calculated:  
PSNS = (IF)2 x RSNS  
PSNS = 0.352 x 0.75 = 92 mW  
ΔiL(TYP) = [(26.4 – 3.7) x 300 x 10-9] / 33 x 10-6  
= 206 mAP-P  
Standard 0805 size resistors are rated to 125 mW and will be  
suitable for this application.  
21  
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To select the proper output capacitor the equation from Buck  
Regulators with Output Capacitors is re-arranged to yield the  
following:  
Schottky diodes are available at forward current ratings of  
0.5A, however the current rating often assumes a 25°C am-  
bient temperature and does not take into account the appli-  
cation restrictions on temperature rise. A diode rated for  
higher current may be needed to keep the temperature rise  
below 40°C.To determine the proper case size, the dissipa-  
tion and temperature rise in D1 can be calculated as shown  
in the Design Considerations section. VD for a small case size  
such as SOD-123 in a 40V, 0.5A Schottky diode at 350 mA is  
approximately 0.4V and the θJA is 206°C/W. Power dissipa-  
tion and temperature rise can be calculated as:  
The target tolerance for LED ripple current is ±5% or 10%P-  
P = 35 mAP-P, and the LED datasheet gives a typical value for  
rD of 1.0at 350 mA. The required capacitor impedance to  
reduce the worst-case inductor ripple current of 258 mAP-P is  
therefore:  
PD = 0.298 x 0.4 = 119 mW  
TRISE = 0.119 x 206 = 24.5°C  
ZC = [0.035 / (0.258 - 0.035] x 1.0 = 0.157Ω  
According to these calculations the SOD-123 diode will meet  
the requirements. Heating and dissipation are among the fac-  
tors most difficult to predict in converter design. If possible, a  
footprint should be used that is capable of accepting both  
SOD-123 and a larger case size, such as SMA. A larger diode  
with a higher forward current rating will generally have a lower  
forward voltage, reducing dissipation, as well as having a  
lower θJA, reducing temperature rise.  
A ceramic capacitor will be used and the required capacitance  
is selected based on the impedance at 468 kHz:  
CO = 1/(2 x π x 0.157 x 4.68 x 105) = 2.18 µF  
This calculation assumes that impedance due to the equiva-  
lent series resistance (ESR) and equivalent series inductance  
(ESL) of CO is negligible. The closest 10% tolerance capacitor  
value is 2.2 µF. The capacitor used should be rated to 10V or  
more and have an X7R dielectric. Several manufacturers pro-  
duce ceramic capacitors with these specifications in the 0805  
case size. A typical value for ESR of 1 mcan be read from  
the curve of impedance vs. frequency in the product  
datasheet.  
CB and CF  
The bootstrap capacitor CB should always be a 10 nF ceramic  
capacitor with X7R dielectric. A 25V rating is appropriate for  
all application circuits. The linear regulator filter capacitor CF  
should always be a 100 nF ceramic capacitor, also with X7R  
dielectric and a 25V rating.  
INPUT CAPACITOR  
EFFICIENCY  
Following the calculations from the Input Capacitor section,  
ΔvIN(MAX) will be 1%P-P = 240 mV. The minimum required ca-  
pacitance is:  
To estimate the electrical efficiency of this example the power  
dissipation in each current carrying element can be calculated  
and summed. This term should not be confused with the op-  
tical efficacy of the circuit, which depends upon the LEDs  
themselves.  
CIN(MIN) = (0.35 x 300 x 10-9) / 0.24 = 438 nF  
Total output power, PO, is calculated as:  
In expectation that more capacitance will be needed to pre-  
vent power supply interaction a 1.0 µF ceramic capacitor  
rated to 50V with X7R dielectric in a 1206 case size will be  
used. From the Design Considerations section, input rms cur-  
rent is:  
PO = IF x VO = 0.35 x 3.7 = 1.295W  
Conduction loss, PC, in the internal MOSFET:  
PC = (IF2 x RDSON) x D = (0.352 x 1.5) x 0.154 = 28 mW  
IIN-RMS = 0.35 x Sqrt(0.154 x 0.846) = 126 mA  
Gate charging and VCC loss, PG, in the gate drive and linear  
regulator:  
Ripple current ratings for 1206 size ceramic capacitors are  
typically higher than 1A, more than enough for this design.  
RECIRCULATING DIODE  
PG = (IIN-OP + fSW x QG) x VIN  
The first parameter for D1 which must be determined is the  
reverse voltage rating. Schottky diodes are available at re-  
verse ratings of 30V and 40V, often in the same package, with  
the same forward current rating. To account for ringing a 40V  
Schottky will be used.  
PG = (600 x 10-6 + 468000 x 3 x 10-9) x 24 = 48 mW  
Switching loss, PS, in the internal MOSFET:  
PS = 0.5 x VIN x IF x (tR + tF) x fSW  
The next parameters to be determined are the forward current  
rating and case size. In this example the low duty cycle (D =  
3.7 / 24 = 15%) requires the recirculating diode D1 to carry  
the load current much longer than the internal power MOS-  
FET of the LM3402. The estimated average diode current is:  
PS = 0.5 x 24 x 0.35 x (40 x 10-9) x 468000 = 78 mW  
AC rms current loss, PCIN, in the input capacitor:  
PCIN = IIN(rms)2 x ESR = (0.126)2 x 0.006 = 0.1 mW (negligible)  
ID = 0.35 x 0.85 = 298 mA  
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The closest 1% tolerance resistor is 1.21 M. The switching  
frequency and on-time of the circuit can then be found using  
DCR loss, PL, in the inductor  
PL = IF2 x DCR = 0.352 x 0.096 = 11.8 mW  
the equations relating RON and tON to fSW  
:
fSW = 49.2 / (1210000 x 1.34 x 10-10) = 303 kHz  
Recirculating diode loss, PD = 119 mW  
tON = (1.34 x 10-10 x 1210000) / 60 = 2.7 µs  
Current Sense Resistor Loss, PSNS = 92 mW  
Electrical efficiency, η = PO / (PO + Sum of all loss terms) =  
USING AN OUTPUT CAPACITOR  
1.295 / (1.295 + 0.377) = 77%  
This application is dominated by the need for fast PWM dim-  
ming, requiring a circuit without any output capacitance.  
DIE TEMPERATURE  
TLM3402 = (PC + PG + PS) x θJA  
TLM3402 = (0.028 + 0.05 + 0.078) x 200 = 31°C  
OUTPUT INDUCTOR  
In this example the ripple current through the LED array and  
the inductor are equal. Inductance is selected to give the  
smallest ripple current possible while still providing enough  
ΔvSNS signal for the CS comparator to operate correctly. De-  
signing to a desired ΔvSNS of 25 mV and assuming that the  
average inductor current will equal the desired average LED  
current of 350 mA yields the target current ripple in the in-  
ductor and LEDs:  
Design Example 2: LM3402HV  
The second example application is an RGB backlight for a flat  
screen monitor. A separate boost regulator provides a 60V  
±5% DC input rail that feeds three LM3402HV current regu-  
lators to drive one series array each of red, green, and blue  
1W LEDs. The target for average LED current is 350 mA ±5%  
in each string. The monitor will adjust the color temperature  
dynamically, requiring fast PWM dimming of each string with  
external, parallel MOSFETs. 1W green and blue InGaN LEDs  
have a typical forward voltage of 3.5V, however red LEDs use  
AlInGaP technology with a typical forward voltage of 2.9V. In  
order to match color properly the design requires 14 green  
LEDs, twice as many as needed for the red and blue LEDs.  
This example will follow the design for the green LED array,  
providing the necessary information to repeat the exercise for  
the blue and red LED arrays. The circuit schematic for Design  
Example 2 is the same as the Typical Application on the front  
page. The bill of materials (green array only) can be found in  
Table 2 at the end of this datasheet.  
ΔiF = ΔiL = ΔvSNS / RSNS, RSNS = VSNS / IF  
ΔiF = 0.025 / 0.57 = 43.8 mA  
With the target ripple current determined the inductance can  
be chosen:  
LMIN = [(60 – 49.2) x 2.7 x 10-6] / (0.044) = 663 µH  
OUTPUT VOLTAGE  
Green Array: VO(G) = 14 x 3.5 + 0.2 = 49.2V  
Blue Array: VO(B) = 7 x 3.5 + 0.2 = 24.7V  
Red Array: VO(R) = 7 x 2.9 + 0.2 = 20.5V  
The closest standard inductor value is 680 µH. As with the  
previous example, the average current rating should be  
greater than 350 mA. Separation between the LM3402HV  
drivers and the LED arrays mean that heat from the inductor  
will not threaten the lifetime of the LEDs, but an overheated  
inductor could still cause the LM3402HV to enter thermal  
shutdown.  
RON and tON  
A compromise in switching frequency is needed in this appli-  
cation to balance the requirements of magnetics size and  
efficiency. The high duty cycle translates into large conduc-  
tion losses and high temperature rise in the IC. For best  
response to a PWM dimming signal this circuit will not use an  
output capacitor; hence a moderate switching frequency of  
300 kHz will keep the inductance from becoming so large that  
a custom-wound inductor is needed. This design will use only  
surface mount components, and the selection of off-the-shelf  
SMT inductors for switching regulators is poor at 1000 µH and  
above. RON is selected from the equation for switching fre-  
quency as follows:  
The inductance itself of the standard part chosen is ±20%.  
With this tolerance the typical, minimum, and maximum in-  
ductor current ripples can be calculated:  
ΔiF(TYP) = [(60 - 49.2) x 2.7 x 10-6] / 680 x 10-6  
= 43 mAP-P  
ΔiF(MIN) = [(60 - 49.2) x 2.7 x 10-6] / 816 x 10-6  
= 36 mAP-P  
ΔiF(MAX) = [(60 - 49.2) x 2.7 x 10-6] / 544 x 10-6  
= 54 mAP-P  
The peak LED/inductor current is then estimated:  
RON = 49.2 / (1.34 x 10-10 x 3 x 105) = 1224 kΩ  
IL(PEAK) = IL + [ΔiL(MAX)] / 2  
23  
www.national.com  
Selecting a 100V rated diode provides a large safety margin  
for the ringing of the switch node and also makes cross-ref-  
erencing of diodes from different vendors easier.  
IL(PEAK) = 0.35 + 0.027 = 377 mA  
In the case of a short circuit across the LED array, the  
LM3402HV will continue to deliver rated current through the  
short but will reduce the output voltage to equal the CS pin  
voltage of 200 mV. Worst-case peak current in this condition  
would be equal to:  
The next parameters to be determined are the forward current  
rating and case size. In this example the high duty cycle (D =  
49.2 / 60 = 82%) places less thermals stress on D1 and more  
on the internal power MOSFET of the LM3402. The estimated  
average diode current is:  
ΔiF(LED-SHORT) = [(63 – 0.2) x 2.7 x 10-6] / 544 x 10-6  
= 314 mAP-P  
ID = 0.361 x 0.18 = 65 mA  
IF(PEAK) = 0.35 + 0.156 = 506 mA  
A Schottky with a forward current rating of 0.5A would be ad-  
equate, however at 100V the majority of diodes have a mini-  
mum forward current rating of 1A. To determine the proper  
case size, the dissipation and temperature rise in D1 can be  
calculated as shown in the Design Considerations section.  
VD for a small case size such as SOD-123F in a 100V, 1A  
Schottky diode at 350 mA is approximately 0.65V and the  
In the case of a short at the switch node, the output, or from  
the CS pin to ground the short circuit current limit will engage  
at a typical peak current of 735 mA. In order to prevent in-  
ductor saturation during these fault conditions the inductor’s  
peak current rating must be above 735 mA. A 680 µH off-the  
shelf inductor rated to 1.2A (peak) and 0.72A (average) with  
a DCR of 1.1will be used for the green LED array.  
θ
JA is 88°C/W. Power dissipation and temperature rise can be  
calculated as:  
RSNS  
A preliminary value for RSNS was determined in selecting  
ΔiL. This value should be re-evaluated based on the calcula-  
tions for ΔiF:  
PD = 0.065 x 0.65 = 42 mW  
TRISE = 0.042 x 88 = 4°C  
CB AND CF  
The bootstrap capacitor CB should always be a 10 nF ceramic  
capacitor with X7R dielectric. A 25V rating is appropriate for  
all application circuits. The linear regulator filter capacitor CF  
should always be a 100 nF ceramic capacitor, also with X7R  
dielectric and a 25V rating.  
Sub-1resistors are available in both 1% and 5% tolerance.  
A 1%, 0.56device is the closest value, and a 0.125W, 0805  
size device will handle the power dissipation of 69 mW. With  
the resistance selected, the average value of LED current is  
re-calculated to ensure that current is within the ±5% toler-  
ance requirement. From the expression for LED current ac-  
curacy:  
EFFICIENCY  
To estimate the electrical efficiency of this example the power  
dissipation in each current carrying element can be calculated  
and summed. Electrical efficiency, η, should not be confused  
with the optical efficacy of the circuit, which depends upon the  
LEDs themselves.  
Total output power, PO, is calculated as:  
IF = 0.19 / 0.56 + 0.043 / 2 = 361 mA, 3% above 350 mA  
INPUT CAPACITOR  
PO = IF x VO = 0.361 x 49.2 = 17.76W  
Following the calculations from the Input Capacitor section,  
ΔvIN(MAX) will be 1%P-P = 600 mV. The minimum required ca-  
pacitance is:  
Conduction loss, PC, in the internal MOSFET:  
PC = (IF2 x RDSON) x D = (0.3612 x 1.5) x 0.82 = 160 mW  
CIN(MIN) = (0.35 x 2.7 x 10-6) / 0.6 = 1.6 µF  
Gate charging and VCC loss, PG, in the gate drive and linear  
regulator:  
In expectation that more capacitance will be needed to pre-  
vent power supply interaction a 2.2 µF ceramic capacitor  
rated to 100V with X7R dielectric in an 1812 case size will be  
used. From the Design Considerations section, input rms cur-  
rent is:  
PG = (IIN-OP + fSW x QG) x VIN  
PG = (600 x 10-6 + 3 x 105 x 3 x 10-9) x 60 = 90 mW  
IIN-RMS = 0.35 x Sqrt(0.82 x 0.18) = 134 mA  
Switching loss, PS, in the internal MOSFET:  
Ripple current ratings for 1812 size ceramic capacitors are  
typically higher than 2A, more than enough for this design.  
PS = 0.5 x VIN x IF x (tR + tF) x fSW  
PS = 0.5 x 60 x 0.361 x 40 x 10-9 x 3 x 105 = 130 mW  
RECIRCULATING DIODE  
AC rms current loss, PCIN, in the input capacitor:  
The input voltage of 60V ±5% requires Schottky diodes with  
a reverse voltage rating greater than 60V. Some manufactur-  
ers provide Schottky diodes with ratings of 70, 80 or 90V;  
however the next highest standard voltage rating is 100V.  
PCIN = IIN(rms)2 x ESR = (0.134)2 x 0.006 = 0.1 mW (negligible)  
www.national.com  
24  
DCR loss, PL, in the inductor  
PL = IF2 x DCR = 0.352 x 1.1 = 135 mW  
The following guidelines will help the user design a circuit with  
maximum rejection of outside EMI and minimum generation  
of unwanted EMI.  
COMPACT LAYOUT  
Parasitic inductance can be reduced by keeping the power  
path components close together and keeping the area of the  
loops that high currents travel small. Short, thick traces or  
copper pours (shapes) are best. In particular, the switch node  
(where L1, D1, and the SW pin connect) should be just large  
enough to connect all three components without excessive  
heating from the current it carries. The LM3402/02HV oper-  
ates in two distinct cycles whose high current paths are shown  
in Figure 6:  
Recirculating diode loss, PD = 42 mW  
Current Sense Resistor Loss, PSNS = 69 mW  
Electrical efficiency, η = PO / (PO + Sum of all loss terms) =  
17.76 / (17.76 + 0.62) = 96%  
Temperature Rise in the LM3402HV IC is calculated as:  
TLM3402 = (PC + PG + PS) x θJA = (0.16 + 0.084 + 0.13) x 200  
= 74.8°C  
Layout Considerations  
The performance of any switching converter depends as  
much upon the layout of the PCB as the component selection.  
20192128  
FIGURE 13. Buck Converter Current Loops  
The dark grey, inner loop represents the high current path  
during the MOSFET on-time. The light grey, outer loop rep-  
resents the high current path during the off-time.  
at the pad of the input capacitor to connect the component  
side shapes to the ground plane. A second pulsating current  
loop that is often ignored is the gate drive loop formed by the  
SW and BOOT pins and capacitor CB. To minimize this loop  
at the EMI it generates, keep CB close to the SW and BOOT  
pins.  
GROUND PLANE AND SHAPE ROUTING  
The diagram of Figure 6 is also useful for analyzing the flow  
of continuous current vs. the flow of pulsating currents. The  
circuit paths with current flow during both the on-time and off-  
time are considered to be continuous current, while those that  
carry current during the on-time or off-time only are pulsating  
currents. Preference in routing should be given to the pulsat-  
ing current paths, as these are the portions of the circuit most  
likely to emit EMI. The ground plane of a PCB is a conductor  
and return path, and it is susceptible to noise injection just as  
any other circuit path. The continuous current paths on the  
ground net can be routed on the system ground plane with  
less risk of injecting noise into other circuits. The path be-  
tween the input source and the input capacitor and the path  
between the recirculating diode and the LEDs/current sense  
resistor are examples of continuous current paths. In contrast,  
the path between the recirculating diode and the input capac-  
itor carries a large pulsating current. This path should be  
routed with a short, thick shape, preferably on the component  
side of the PCB. Multiple vias in parallel should be used right  
CURRENT SENSING  
The CS pin is a high-impedance input, and the loop created  
by RSNS, RZ (if used), the CS pin and ground should be made  
as small as possible to maximize noise rejection. RSNS should  
therefore be placed as close as possible to the CS and GND  
pins of the IC.  
REMOTE LED ARRAYS  
In some applications the LED or LED array can be far away  
(several inches or more) from the LM3402/02HV, or on a sep-  
arate PCB connected by a wiring harness. When an output  
capacitor is used and the LED array is large or separated from  
the rest of the converter, the output capacitor should be  
placed close to the LEDs to reduce the effects of parasitic  
inductance on the AC impedance of the capacitor. The current  
sense resistor should remain on the same PCB, close to the  
LM3402/02HV.  
25  
www.national.com  
TABLE 1. BOM for Design Example 1  
ID  
U1  
Part Number  
LM3402  
Type  
LED Driver  
Inductor  
Size  
MSOP-8  
7.0x7.0 x4.5mm  
SOD-123  
0805  
Parameters  
40V, 0.5A  
Qty  
1
Vendor  
NSC  
L1  
SLF7045T-330MR82  
CMHSH5-4  
1
TDK  
33µH, 0.82A, 96mΩ  
40V, 0.5A  
D1  
Schottky Diode  
Capacitor  
Capacitor  
Capacitor  
Capacitor  
Resistor  
1
Central Semi  
Vishay  
Vishay  
TDK  
Cf  
VJ0805Y104KXXAT  
VJ0805Y103KXXAT  
C3216X7R1H105M  
C2012X7R1A225M  
ERJ6BQFR75V  
CRCW08055902F  
100nF 10%  
10nF 10%  
1
Cb  
0805  
1
Cin  
Co  
1206  
1µF 50V  
1
0805  
2.2 µF 10V  
0.75Ω 1%  
1
TDK  
Rsns  
Ron  
0805  
1
Panasonic  
Vishay  
Resistor  
0805  
1
59.0 kΩ 1%  
TABLE 2. BOM for Design Example 2  
ID  
U1  
Part Number  
LM3402HV  
Type  
LED Driver  
Inductor  
Size  
MSOP-8  
18.5x15.2 x7.1mm  
SOD-123F  
0805  
Parameters  
75V, 0.5A  
Qty  
1
Vendor  
NSC  
L1  
DO5022P-684  
1
Coilcraft  
Central Semi  
Vishay  
680µH, 1.2A, 1.1Ω  
100V, 1A  
D1  
CMMSH1-100  
Schottky Diode  
Capacitor  
Capacitor  
Capacitor  
Resistor  
1
Cf  
VJ0805Y104KXXAT  
VJ0805Y103KXXAT  
C4532X7R2A225M  
ERJ6BQFR56V  
CRCW08051214F  
100nF 10%  
10nF 10%  
1
Cb  
0805  
1
Vishay  
Cin  
Rsns  
Ron  
1812  
2.2µF 100V  
0.56Ω 1%  
1
TDK  
0805  
1
Panasonic  
Vishay  
Resistor  
0805  
1
1.21MΩ 1%  
www.national.com  
26  
Physical Dimensions inches (millimeters) unless otherwise noted  
8-Lead MSOP Package  
NS Package Number MUA08A  
8-Lead PSOP Package  
NS Package Number MRA08B  
27  
www.national.com  
Notes  
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Clock and Timing  
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www.national.com/training  
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