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10
overtake the increased power transfer. If the converter is in
this range it will not be able to maintain output regulation.
If the following equation is not satisfied, the device will
skip pulses at high V
IN
:
D
min
f
s
w t
on(min)
Where: f
s
: switching frequency [Hz]
t
on(min)
: minimum on time [s]
2. Select Current Sense Resistor
Current sensing for peak current mode control and current
limit relies on the MOSFET current signal, which is
measured with a ground referenced amplifier. The easiest
method of generating this signal is to use a current sense
resistor between the MOSFET source and ground. The sense
resistor should be selected as follows:
R
SNS
+
V
CL
I
CL
Where: R
SNS
: sense resistor [W]
V
CL
: current limit threshold voltage [V]
I
CL
: desired current limit [A]
3. Select the Boost Inductor
The Boost inductor controls the current ripple that occurs
over a switching period. A discontinuous current ripple will
result in superior transient response and lower switching
noise at the expense of higher transistor conduction losses
and operating ripple current requirements. A low current
ripple will result in CCM operation having a slower response
current slew rate in case of load steps (e.g. introducing an
LED series dimming circuit). A good starting point is to
select components for DCM operation at V
in(min)
, but
operation should be verified empirically. Calculate the
maximum inductor value as follows:
L
max
+
ǒ
1 *
1
M
max
Ǔ
V
in(min)
2
ǒ
V
out
I
LED
Ǔ
2f
s
V
out
2
The maximum average inductor current can be calculated
as follows:
I
L,avg
+
V
OUT
I
OUT(max)
V
IN(min)
The peak inductor current can be calculated as follows:
I
L,peak
+
V
IN(min)
D
max
Lf
s
Where: I
L,peak
: Peak inductor current value [A]
4. Select Output Capacitor
The output capacitor smoothes the output voltage and
reduces the overshoot and undershoot associated with line
transients. The steady state output ripple associated with the
output capacitors can be calculated as follows:
V
OUT(ripple)
+
I
LED
ǒ
1 * d (M
max
)
Ǔ
f
s
C
OUT
The capacitors must withstand an RMS ripple current as
follows:
I
Cout(RMS)
+ I
LED
2
) d(M
max
)
ǒ
I
L,pk
2
3
* I
L,pk
I
LED
Ǔ
Ǹ
A 1−2.2 mF ceramic capacitor is usually sufficient for high
brightness LED applications for f
s
= 2 MHz.
5. Select Input Capacitors
The input capacitor reduces voltage ripple on the input to
the module associated with the ac component of the input
current.
I
Cin(RMS)
+
ǒ
D(M
max
) ) d (M
max
)
3
Ǔ
I
L,pk
2
* I
L,avg
2
Ǹ
6. Select Feedback Resistors
The feedback resistor provides LED current sensing for
the feedback signal. It may be calculated as follows:
R
F1
+
V
ref
I
LED
7. Select Compensator Components
Current Mode control method employed by the
NCV898032 allows the use of a simple Type II
compensation to optimize the dynamic response according
to system requirements. A transconductance amplifier is
used, so compensation components must
be connected
between the compensation pin and ground.
8. Select MOSFET(s)
In order to ensure the gate drive voltage does not drop out,
the selected MOSFET must not violate the following
inequality:
Q
g(total)
v
I
drv
f
s
Where: Q
g(total)
: Total Gate Charge of MOSFET(s) [C]
I
drv
: Drive voltage current [A]
f
s
: Switching Frequency [Hz]
The maximum RMS Current can be calculated as follows:
I
Q(max)
+ I
L,peak
D(M
max
)
3
Ǹ
The maximum voltage across the MOSFET will be the
maximum output voltage, which is the higher of the
maximum input voltage and the regulated output voltage:
V
Q(max)
+ V
OUT(max)
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11
9. Select Diode
The output diode rectifies the output current. The average
current through diode will be equal to the output current:
I
D(avg)
+ I
OUT(max)
Additionally, the diode must block voltage equal to the
higher of the output voltage or the maximum input voltage:
V
D(max)
+ V
OUT
The maximum power dissipation in the diode can be
calculated as follows:
P
D
+ V
f(max)
I
OUT(max)
Where: P
d
: Power dissipation in the diode [W]
V
f(max)
: Maximum forward voltage of the diode
[V]
Low Voltage Operation
If the input voltage drops below the UVLO or MOSFET
threshold voltage, another voltage may be used to power the
device. Simply connect the voltage you would like to boost
to the inductor and connect the stable voltage to the VIN pin
of the device. In Boost configuration, the output of the
converter can be used to power the device. In some cases it
may be desirable to connect 2 sources to VIN pin, which can
be accomplished simply by connecting each of the sources
through a diode to the VIN pin.
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12
SEPIC TOPOLOGY APPLICATION INFORMATION
Oscillator
+
Q
S
R
NCV898032
Voltage Error
VEA
CSA
PWM Comparator
Gate
Drive
Compensation
GDRV
L2
L1
Figure 11. SEPIC Current Mode Schematic
V
FB
I
SNS
V
IN
R
L
C
o
C
CPL
SEPIC Design Methodology
This section details an overview of the component
selection process for the NCV898032 in continuous
conduction mode SEPIC. It is intended to assist with the
design process but does not remove all engineering design
work. Many of the equations make heavy use of the small
ripple approximation. This process entails the following
steps:
1. Define Operational Parameters
2. Select Current Sense Resistor
3. Select SEPIC Inductors
4. Select Coupling Capacitor
5. Select Output Capacitors
6. Select Input Capacitors
7. Select Feedback Resistors
8. Select Compensator Components
9. Select MOSFET(s)
10. Select Diode
1. Define Operational Parameters
Before beginning the design, define the operating
parameters of the application. These include:
V
IN(min)
: minimum input voltage [V]
V
IN(max):
maximum input voltage [V]
V
OUT
: output voltage [V]
I
OUT(max)
: maximum output current [A]
I
CL
: desired typical cycle−by−cycle current limit [A]
From this the ideal minimum and maximum duty cycles
can be calculated as follows:
D
min
+
V
OUT
V
IN(max)
) V
OUT
D
max
+
V
OUT
V
IN(min)
) V
OUT
Both duty cycles will actually be higher due to power loss
in the conversion. The exact duty cycles will depend on
conduction and switching losses.
If the calculated D
WC
(worst case) is higher than the D
max
limit of the NCV898032, the conversion will not be
possible. It is important for a SEPIC converter to have a
restricted D
max
, because while the ideal conversion ratio of
a SEPIC converter goes up to infinity as D approaches 1, a
real converters conversion ratio starts to decrease as losses
overtake the increased power transfer. If the converter is in
this range it will not be able to regulate properly.
If the following equation is not satisfied, the device will
skip pulses at high V
IN
:
D
min
f
s
w t
on(min)
Where: f
s
: switching frequency [Hz]
t
on(min)
: minimum on time [s]

NCV898032D1R2G

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