threshold provides an upper limit for the LED current. LED
current overshoot is limited to 328mV/R1 by this comparator
during transients.
THERMAL SHUTDOWN
Thermal shutdown limits total power dissipation by turning off
the internal power switch when the IC junction temperature
exceeds 165°C. After thermal shutdown occurs, the power
switch does not turn on until the junction temperature drops
below approximately 150°C.
Design Guide
INDUCTOR (L1)
The Duty Cycle (D) can be approximated quickly using the
ratio of output voltage (VOUT) to input voltage (VIN):
The catch diode (D1) forward voltage drop and the voltage
drop across the internal NMOS must be included to calculate
a more accurate duty cycle. Calculate D by using the following
formula:
VSW can be approximated by:
VSW = IF x RDS(ON)
The diode forward drop (VD1) can range from 0.3V to 0.7V
depending on the quality of the diode. The lower VD1 is, the
higher the operating efficiency of the converter.
The inductor value determines the output ripple current (ΔiL,
as defined in Figure 2). Lower inductor values decrease the
size of the inductor, but increases the output ripple current.
An increase in the inductor value will decrease the output rip-
ple current. The ratio of ripple current to LED current is
optimized when it is set between 0.3 and 0.4 at 1A LED cur-
rent. This ratio r is defined as:
One must also ensure that the minimum current limit (1.2A)
is not exceeded, so the peak current in the inductor must be
calculated. The peak current (ILPK) in the inductor is calculated
as:
ILPK = IF + ΔiL/2
When the designed maximum output current is reduced, the
ratio r can be increased. At a current of 0.2A, r can be made
as high as 0.7. The ripple ratio can be increased at lighter
loads because the net ripple is actually quite low, and if r re-
mains constant the inductor value can be made quite large.
An equation empirically developed for the maximum ripple
ratio at any current below 2A is:
r = 0.387 x IOUT-0.3667
Note that this is just a guideline.
The LM3405 operates at a high frequency allowing the use of
ceramic output capacitors without compromising transient re-
sponse. Ceramic capacitors allow higher inductor ripple with-
out significantly increasing LED current ripple. See the output
capacitor and feed-forward capacitor sections for more de-
tails on LED current ripple.
Now that the ripple current or ripple ratio is determined, the
inductance is calculated by:
where fSW is the switching frequency and IF is the LED current.
When selecting an inductor, make sure that it is capable of
supporting the peak output current without saturating. Induc-
tor saturation will result in a sudden reduction in inductance
and prevent the regulator from operating correctly. Because
of the operating frequency of LM3405, ferrite based inductors
are preferred to minimize core losses. This presents little re-
striction since the variety of ferrite based inductors is huge.
Lastly, inductors with lower series resistance (DCR) will pro-
vide better operating efficiency. For recommended inductor
selection, refer to Circuit Examples and Recommended In-
ductance Range in Table 1. Note that it is a good practice to
use small inductance value at light load (for example, IF =
0.2A) to increase inductor current ramp signal, such that noise
immunity is improved.
TABLE 1. Recommended Inductance Range
IFInductance Range and Inductor Current Ripple
1.0A
4.7µH-10µH
Inductance 4.7µH 6.8µH 10µH
ΔiL / IF*51% 35% 24%
0.6A
6.8µH-15µH
Inductance 6.8µH 10µH 15µH
ΔiL / IF*58% 40% 26%
0.2A
4.7µH**-22µH
Inductance 10µH 15µH 22µH
ΔiL / IF*119% 79% 54%
*Maximum over full range of VIN and VOUT.
**Small inductance improves stability without causing a significant increase
in LED current ripple.
INPUT CAPACITOR (C1)
An input capacitor is necessary to ensure that VIN does not
drop excessively during switching transients. The primary
specifications of the input capacitor are capacitance, voltage
rating, RMS current rating, and ESL (Equivalent Series In-
ductance). The input voltage rating is specifically stated by
the capacitor manufacturer. Make sure to check any recom-
mended deratings and also verify if there is any significant
change in capacitance at the operating input voltage and the
operating temperature. The input capacitor maximum RMS
input current rating (IRMS-IN) must be greater than:
It can be shown from the above equation that maximum RMS
capacitor current occurs when D = 0.5. Always calculate the
RMS at the point where the duty cycle D, is closest to 0.5. The
ESL of an input capacitor is usually determined by the effec-
tive cross sectional area of the current path. A large leaded
www.national.com 10
LM3405