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pin voltage exceeds the UVLO threshold, 3.6V typical, the in-
ternal circuits are then enabled and normal operation begins.
Application Information
SWITCHING FREQUENCY SELECTION
The selection of switching frequency is based on the consid-
eration of the conversion efficiency, size of the passive com-
ponents, and the total solution cost. In general, increasing the
switching frequency will allow the use of smaller external
components but will decrease the conversion efficiency.
Thus, the selection of switching frequency is a compromise
between the system requirements and may vary from design
to design. The LM3407 switching frequency can be set in the
range from 300 kHz to 1 MHz by adjusting the value of R
.
The switching frequency is inversely proportional to the value
of R
. In order to guarantee good operation stability, a re-
sistor with 1% tolerance between 40 k
and 96 k
and with
good thermal stability is suggested.
The switching frequency is estimated by the expression be-
low:
In the equation, f
is the oscillator frequency and R
is the
frequency setting resistance. The above equation is only valid
for oscillator frequencies in the range of 300 kHz to 1 MHz,
so the frequency setting resistance will be in the range of
about 40 k
to 150 k
.
LED CURRENT SETTING
The LED current setting is important to the lifetime, reliability,
and color temperature of the LED string. The LED current
should be properly selected according to the characteristics
of the LED used. Over-driving the LED array can cause the
color temperature to shift and will shorten the lifetime of the
LEDs. The output current of the LM3407 can be set by
R
ISNS
, which is calculated from the following equation:
To ensure the accuracy of the output current, a resistor with
1% tolerance should be used for R
. It is also important for
the designer to ensure that the rated power of the resistor is
not exceeded with reasonable margin. For example, when
I
is set to 350 mA, the total power dissipation on R
in
steady state is (0.35A)
2
x 0.565
, which equals 69 mW, in-
dicating a resistor of 1/8W power rating is appropriate.
INPUT AND OUTPUT CAPACITORS
The input capacitor supplies instantaneous current to the
LM3407 converter when the internal power switch Q1 turns
ON. The input capacitor filters the noise and transient voltage
from the input power source. Using low ESR capacitors such
as ceramic and tantalum capacitors is recommended. Similar
to the selection criteria for the output capacitor, ceramic ca-
pacitors are the best choice for the input to the LM3407 due
to their high ripple current rating, low ESR, and relatively small
size compared to other types. A 4.7 μF X7R ceramic capacitor
for the input capacitor is recommended
The output capacitor C
is used to reduce LED current rip-
ple, filter noise, and smooth output voltage. This capacitor
should have low ESR and adequate capacitance. Excessively
large output capacitances create long enable and disable
times, which is particularly significant when a high dimming
frequency is used. Since the loading and input conditions dif-
fer from design to design, a 2.2 μF X7R ceramic capacitor is
a good initial selection. A DC voltage rating equal to or higher
than twice the forward voltage of the LED string is recom-
mended.
C
is optional and can be omitted for applications where
small brightness variation is acceptable. Omitting C
also
helps reduce the cost and board size of the converter. With
the absence of C
, the LED forward current equals the in-
ductor current. In order to ensure proper operation of the
converter the peak inductor current must not exceed the rated
forward current of the LEDs. Otherwise the LEDs may be
damaged.
SELECTION OF INDUCTOR
In order to achieve accurate constant current output, the
LM3407 is required to operate in Continuous Conduction
Mode (CCM) under all operating conditions. In general, the
magnitude of the inductor ripple current should be kept as
small as possible. If the PCB size is not limited, higher induc-
tance values result in better accuracy of the output current.
However, in order to minimize the physical size of the circuit,
an inductor with minimum physical outline should be selected
such that the converter always operates in CCM and the peak
inductor current does not exceed the saturation current limit
of the inductor. The ripple and peak current of the inductor
can be calculated as follows:
Inductor Peak to Peak Ripple Current:
Peak Inductor Current:
where
η
is the number of LEDs in a string and V
F
is the forward
voltage of one LED.
The minimum inductance required for the specific application
can be calculated by:
For applications with no output capacitor in place, the mag-
nitude of the inductor ripple current should not be more than
20% of the average inductor current, which is equivalent to
the output current, I
. However, in some situations the
physical size of the required inductor may be too large and
thus not allowed. The output capacitor can help absorb this
current ripple to significantly reduce the ripple component
along the LED string. With an output capacitor C
in place,
the magnitude of the inductor ripple current can be relaxed to
80% of the output current.
Figure 6
illustrates the relationship
between I
OUT
, I
L(peak)
, and I
L(ripple)
.
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