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The I
L_AVG(MAX)
of boost, buck mode, and buck-boost
mode LED drivers in CCM are:
I
L _ AVG(MAX)_BUCK
=I
LED(MAX)
I
L _ AVG(MAX)_BOOST
=I
LED(MAX)
1
1–D
MAX
I
L _ AVG(MAX)_BUCK-BOOST
=I
LED(MAX)
1
1–D
MAX
The primary and secondary maximum average inductor
current of the SEPIC LED driver are:
I
L1_ AVG(MAX)_SEPIC
= I
LED(MAX)
D
MAX
1–D
MAX
I
L2_ AVG(MAX)_SEPIC
= I
LED(MAX)
where I
LED(MAX)
is the maximum LED current.
The inductor ripple current I
L
has a direct effect on the
choice of the inductor value. Choosing smaller values of
I
L
requires large inductances and reduces the current loop
gain (the converter will approach voltage mode). Accepting
larger values of I
L
provides fast transient response and
allows the use of low inductances, but results in higher
input current ripple and greater core losses.
The inductor ripple percentage of the boost, buck mode,
and buck-boost mode LED drivers is:
I
L
I
L(MAX)
For the SEPIC converter, I
L
of the primary inductor is
equal to I
L
of the secondary inductor. The inductor ripple
percentage can be calculated as:
2 I
L
I
L1(MAX)
+I
L2(MAX)
The user should choose an appropriate I
L
based on the
trade-offs to optimize the LED driver performance. It is
recommended that the ripple current percentage fall within
the range of 20% to 60% at D
MAX
.
Given an operating input voltage range, and having chosen
the operating frequency, f, and ripple current I
L
in the
inductor, the inductor values of the boost, buck mode, and
buck-boost mode LED drivers can be determined using
the following equations:
L
BUCK
=
V
LED
I
L
f
1–D
MAX)
( )
L
BOOST
=
V
IN(MIN)
I
L
f
D
MAX
L
BUCK-BOOST
=
V
IN(MIN)
I
L
f
D
MAX
The primary and secondary inductor values of the SEPIC
LED driver are:
L1= L2=
V
IN(MIN)
I
L
f
D
MAX
By making L1 = L2, and winding them on the same core, the
value of inductance in the preceding equation is replaced
by 2L, due to mutual inductance:
L =
V
IN(MIN)
2 I
L
f
D
MAX
The inductor peak current and RMS current in continuous
mode operation can be calculated based on I
L(MAX)
and I
L
.
I
L(PEAK)
= I
L(MAX)
+0.5•I
L
I
L(RMS)
≈ I
L(MAX)
Based on the preceding equations, the user should choose
the inductors having sufficient saturation and RMS cur-
rent ratings.
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Switch Current Sense Resistors Selection
The LT3797 measures each channel’s power N-channel
MOSFET current by using a sense resistor (see R
SW_SEN
in
Figure 1) between GND and the MOSFET source. Figure 7
shows a typical waveform of the sense voltage (V
SW_SENSE
)
across the sense resistor in CCM. The placement of the
sense resistor R
SW_SEN
should be close to the source of the
MOSFET and GND. The SENSEP and SENSEN sense node
traces should run parallel to each other to a Kelvin con
-
nection on the positive and negative terminals of R
SW_SEN
.
Due to the current limit function of the power switch cur-
rent control, R
SW_SEN
should be selected to guarantee that
the peak current sense voltage V
SW_SENSE(PEAK)
during
steady-state normal operation is lower than the SENSE
current limit threshold (100mV minimum). It is recom
-
mended to give a 20% margin and set V
SW_SENSE(PEAK)
to be 80mV. Then, the switch current sense resistor value
can be calculated as:
R
SW _SEN
=
80mV
I
SW(PEAK)
where I
SW(PEAK)
is the peak switch current. I
SW(PEAK)
of
the boost, buck mode and buck-boost mode LED driver is:
I
SW(PEAK)
= I
L(PEAK)
I
SW(PEAK)
of the SEPIC LED driver is:
I
SW(PEAK)
= I
L1(PEAK)
+ I
L2(PEAK)
Sense Voltage Ripple Verification
After the inductor ripple current and the switch current
sense resistor value have been selected according to the
previous sections, the sense voltage ripple V
SW_SENSE
(refer to Figure 7) of the boost, buck, and buck-boost LED
drivers can be determined using the following equation:
V
SW_SENSE
= I
L
•R
SW_SEN
V
SW_SENSE
of the SEPIC LED driver can be determined
using the following equation:
V
SW_SENSE
=2•I
L
•R
SW_SEN
The LT3797 has internal slope compensation to stabilize
the control loop against sub-harmonic oscillation. When
the LT3797 operates at a duty cycle greater than 0.66
in CCM, the sense voltage ripple, V
SW_SENSE
(refer to
Figure7), needs to be limited to ensure the internal slope
compensation is sufficient to stabilize the control loop.
Figure 8 shows the maximum V
SW_SENSE
over the duty
cycle. It is recommended to check and ensure V
SW_SENSE
is below this curve at the highest duty cycle. If V
SW_SENSE
is above the maximum V
SW_SENSE
curve at the highest
duty cycle, the I
L
needs to be reduced and the parameters
in the previous two sections need to be recalculated until
the optimized values are obtained.
Figure 7. The Sense Voltage Across the Sense Resistor in CCM
∆V
SW_SENSE
V
SW_SENSE(PEAK)
t
V
SW_SENSE
D/f
3797 F07
1/f
Figure 8. The Maximum Sense Voltage Ripple
vs Duty Cycle for CCM
DUTY CYCLE
0.5
MAX ∆V
SW_SENSE
(mV)
30
90
100
110
3797 F08
10
70
50
20
80
0
60
40
0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95
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Power MOSFET Selection
The selection criteria for the power MOSFET includes the
drain-source breakdown voltage (BV
DSS
), the threshold
voltage (V
GS(TH)
), the on-resistance (R
DS(ON)
), the total
gate charge (Q
G
), the maximum drain current (I
D(MAX)
) and
the MOSFET s thermal resistances (R
θJC
and R
θJA
), etc.
The required power MOSFET BV
DSS
rating of different
topologies can be estimated using the following equations.
Add a diode forward voltage, and any additional ringing
across its drain-to-source during its off-time.
BV
DSS_BOOST
> V
LED
BV
DSS_BUCK
> V
IN(MAX)
BV
DSS_BUCK-BOOST
> V
IN(MAX)
+ V
LED
BV
DSS_SEPIC
> V
IN(MAX)
+ V
LED
The power dissipated by the MOSFET in a boost, buck
mode, or buck-boost mode LED driver is:
P
FET
= I
L(MAX)
2
•R
DS(ON)
•D
MAX
+2•V
SW(PEAK)
•
I
L(MAX)
•C
RSS
•f/1.5A
The power dissipated by the MOSFET in a SEPIC LED
driver is:
P
FET
= (I
L1(MAX)
+ I
L2(MAX)
)
2
•R
DS(ON)
•D
MAX
+2•
V
SW(PEAK)
•(I
L1(MAX)
+ I
L2(MAX)
)•C
RSS
•f/1.5A
The first terms in the preceding equations represent the
conduction losses in the devices, and the second terms, the
switching losses. C
RSS
is the reverse transfer capacitance,
which is usually specified in the MOSFET characteristics.
For maximum efficiency, R
DS(ON)
and Q
G
should be
minimized. From a known power dissipated in the power
MOSFET, its junction temperature can be obtained using
the following equation:
T
J
= T
A
+ P
FET
•θ
JA
= T
A
+ P
FET
•(θ
JC
+ θ
CA
)
T
J
must not exceed the MOSFET maximum junction
temperature rating. It is recommended to measure the
MOSFET temperature in steady state to ensure that absolute
maximum ratings are not exceeded.
Schottky Rectifier Selection
The power Schottky diode conducts current during the
interval when the switch is turned off. In an LT3797 LED
driver, the Schottky diode should have the same voltage
rating as the power N-channel MOSFET in the same channel.
Refer to the power MOSFET BV
DSS
rating in the previous
section for the peak reverse voltage rating selection. If using
the PWM feature for dimming, it is important to consider
diode leakage, which increases with the temperature, from
the output during the PWM low interval. Choose a Schottky
diode with sufficiently low leakage current.
The power dissipated by the diode in a boost, buck, or
buck-boost converter in CCM is:
P
D
= I
L_AVG(MAX)
•V
D
•(1–DMAX)
where V
D
is the diode forward voltage drop.
The power dissipated by the diode in a SEPIC converter is:
P
D
= (I
L1_AVG(MAX)
+ I
L2_AVG(MAX)
)•V
D
•(1–D
MAX
)
and the diode junction temperature is:
T
J
= T
A
+ P
D
•(θ
JC
+ θ
CA
)
T
J
must not exceed the diode maximum junction tem-
perature rating.

LT3797IUKG#TRPBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
LED Lighting Drivers 3x Out LED Drvr Cntr
Lifecycle:
New from this manufacturer.
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