LTC1874EGN#TRPBF

7
LTC1874
Slope Compensation and Inductor’s Peak Current
The inductor’s peak current is determined by:
I
V
R
PK
ITH
SENSE
=
()
–.07
10
when the controller is operating below 40% duty cycle.
However, once the duty cycle exceeds 40%, slope com-
pensation begins and effectively reduces the peak inductor
current. The amount of reduction is given by the curves in
Figure 2.
Figure 2. Percentage of Maximum Output Current vs Duty Cycle
DUTY CYCLE (%)
110
100
90
80
70
60
50
40
30
20
10
SF = I
OUT
/I
OUT(MAX)
(%)
1874 F02
0 70 80 90 1006010 20 30 40 50
I
RIPPLE
= 0.4I
PK
AT 5% DUTY CYCLE
I
RIPPLE
= 0.2I
PK
AT 5% DUTY CYCLE
V
IN
= 4.2V
The basic LTC1874 application circuit is shown in
Figure 1. External component selection for each control-
ler is driven by the load requirement and begins with the
selection of L1 and R
SENSE
(= R1). Next, the power
MOSFET (M1) and the output diode (D1) are selected
followed by C
IN
and C
OUT
(= C1).
R
SENSE
Selection for Output Current
R
SENSE
is chosen based on the required output current.
With the current comparator monitoring the voltage devel-
oped across R
SENSE
, the threshold of the comparator
determines the inductor’s peak current. The output cur-
rent the controller can provide is given by:
I
V
R
I
OUT
SENSE
RIPPLE
=−
012
2
.
where I
RIPPLE
is the inductor peak-to-peak ripple current
(see Inductor Value Calculation section).
A reasonable starting point for setting ripple current is
I
RIPPLE
= (0.4)(I
OUT
). Rearranging the above equation, it
becomes:
R
I
SENSE
OUT
=
()( )
1
10
for Duty Cycle < 40%
However, for operation that is above 40% duty cycle, slope
compensation effect has to be taken into consideration to
select the appropriate value to provide the required amount
of current. Using Figure 2, the value of R
SENSE
is:
R
SF
I
SENSE
OUT
=
()( )( )
10 100
where SF is the “slope factor.”
Inductor Value Calculation
The operating frequency and inductor selection are inter-
related in that higher operating frequencies permit the use
of a smaller inductor for the same amount of inductor
ripple current. However, this is at the expense of efficiency
due to an increase in MOSFET gate charge losses.
The inductance value also has a direct effect on ripple
current. The ripple current, I
RIPPLE
, decreases with higher
inductance or frequency and increases with higher V
IN
or
V
OUT
. The inductor’s peak-to-peak ripple current is given
by:
I
VV
fL
VV
VV
RIPPLE
IN OUT OUT D
IN D
=
()
+
+
where f is the operating frequency. Accepting larger values
of I
RIPPLE
allows the use of low inductances, but results in
higher output voltage ripple and greater core losses. A
reasonable starting point for setting ripple current is
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OPERATIO
U
8
LTC1874
I
RIPPLE
= 0.4(I
OUT(MAX)
). Remember, the maximum I
RIPPLE
occurs at the maximum input voltage.
In Burst Mode operation on an LTC1874 controller, the
ripple current is normally set such that the inductor
current is continuous during the burst periods. Therefore,
the peak-to-peak ripple current must not exceed:
I
V
R
RIPPLE
SENSE
003.
This implies a minimum inductance of:
L
VV
f
R
VV
VV
MIN
IN OUT
SENSE
OUT D
IN D
=
+
+
003.
(Use V
IN(MAX)
= V
IN
)
A smaller value than L
MIN
could be used in the circuit;
however, the inductor current will not be continuous
during burst periods.
Inductor Core Selection
Once the value of inductor is known, an off the shelf
inductor can be selected. The inductor should be rated for
the calculated peak current. Some manufacturers specify
both peak saturation current and peak RMS current. Make
sure that the RMS current meets your continuous load
requirements. Also, you may want to compare the DC
resistance of different inductors in order to optimize the
efficiency.
Inductor core losses are usually not specified and you will
need to evaluate them yourself. Usually, the core losses
are not a problem because the inductors operate with
relatively low magnetic flux swings. The best way to
evaluate the core losses is by measuring the converters
efficiency. Converter efficiency will reveal the difference in
both DC current losses and core losses.
Off the shelf inductors are available from numerous manu-
facturers. Some of the most common manufacturers are
Coilcraft, Coiltronics, Panasonic, Toko, Tokin, Murata and
Sumida.
Power MOSFET Selection
The main selection criteria for the power MOSFET are the
threshold voltage V
GS(TH)
, the “on” resistance R
DS(ON)
,
reverse transfer capacitance C
RSS
and total gate charge.
Since the controller is designed for operation down to low
input voltages, a logic level threshold MOSFET (R
DS(ON)
guaranteed at V
GS
= 2.5V) is required for applications that
work close to this voltage. When these MOSFETs are used,
make sure that the input supply to the controller is less
than the absolute maximum V
GS
rating, typically 8V.
The required minimum R
DS(ON)
of the MOSFET is gov-
erned by its allowable power dissipation. For applications
that may operate the controller in dropout, i.e., 100% duty
cycle, at its worst case the required R
DS(ON)
is given by:
R
P
Ip
DS ON
P
OUT MAX
DC
()
()
%=
=
()
+
()
100
2
1 δ
where P
P
is the allowable power dissipation and δp is the
temperature dependency of R
DS(ON)
. (1 + δp) is generally
given for a MOSFET in the form of a normalized R
DS(ON)
vs
temperature curve, but δp = 0.005/°C can be used as an
approximation for low voltage MOSFETs.
In applications where the maximum duty cycle is less than
100% and the controller is in continuous mode, the
R
DS(ON)
is governed by:
R
P
DC I
p
DS ON
P
OUT
()
()
+
()
2
1 δ
where DC is the maximum operating duty cycle of the
controller.
Output Diode Selection
The catch diode carries load current during the off-time.
The average diode current is therefore dependent on the
MOSFET duty cycle. At high input voltages the diode
conducts most of the time. As V
IN
approaches V
OUT
the
diode conducts only a small fraction of the time. The most
stressful condition for the diode is when the output is
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9
LTC1874
short-circuited. Under this condition the diode must safely
handle I
PEAK
at close to 100% duty cycle. Therefore, it is
important to adequately specify the diode peak current and
average power dissipation so as not to exceed the diode
ratings.
Under normal load conditions, the average current con-
ducted by the diode is:
I
VV
VV
I
D
IN OUT
IN D
OUT
=
+
The allowable forward voltage drop in the diode is calcu-
lated from the maximum short-circuit current as:
V
P
I
F
D
SC MAX
()
where P
D
is the allowable power dissipation and will be
determined by efficiency and/or thermal requirements.
Schottky diodes are a good choice for low forward drop
and fast switching times. Remember to keep lead length
short and observe proper grounding (see Board Layout
Checklist) to avoid ringing and increased dissipation.
C
IN
and C
OUT
Selection
In continuous mode, the source current of the P-channel
MOSFET is a square wave of duty cycle (V
OUT
+ V
D
)/
(V
IN
+ V
D
). To prevent large voltage transients, a low ESR
input capacitor sized for the maximum RMS current must
be used. The maximum RMS capacitor current is given by:
CI
VVV
V
IN MAX
OUT IN OUT
IN
Required I
RMS
()
[]
12/
This formula has a maximum at V
IN
= 2V
OUT
, where I
RMS
= I
OUT
/2. This simple worst-case condition is commonly
used for design because even significant deviations do not
offer much relief. Several capacitors may be paralleled to
meet the size or height requirements in the design. Due to
the high operating frequency of the controller, ceramic
capacitors can also be used for C
IN
. Always consult the
manufacturer if there is any question.
The selection of C
OUT
is driven by the required effective
series resistance (ESR). Typically, once the ESR require-
ment is satisfied, the capacitance is adequate for filtering.
The output ripple (V
OUT
) is approximated by:
V I ESR
fC
OUT RIPPLE
OUT
≈+
1
4
where f is the operating frequency, C
OUT
is the output
capacitance and I
RIPPLE
is the ripple current in the induc-
tor. The output ripple is highest at maximum input voltage
since I
L
increases with input voltage.
Once the ESR requirement for C
OUT
has been met, the
RMS current rating generally far exceeds the I
RIPPLE(P-P)
requirement. Multiple capacitors may have to be paral-
leled to meet the ESR or RMS current handling require-
ments of the application. Aluminum electrolytic and dry
tantalum capacitors are both available in surface mount
configurations. An excellent choice of tantalum capacitors
are the AVX TPS and KEMET T510 series of surface mount
tantalum capacitors.
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LTC1874EGN#TRPBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Switching Voltage Regulators 2x Const Freq C Mode Buck DC/DC Cntr
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