
ADP1870/ADP1871
APPLICATIONS INFORMATION
FEEDBACK RESISTOR DIVIDER
The required resistor divider network can be determined for a
given V
OUT
value because the internal band gap reference (V
REF
)
is fixed at 0.6 V. Selecting values for R
T
and R
B
determines the
minimum output load current of the converter. Therefore, for a
given value of R
B
, the R
T
value can be determined through the
following expression:
×
=
B
T
R
R
Rev. A | Page 24 of 44
V
6
V)
6
(
OUT
V
INDUCTOR SELECTION
The inductor value is inversely proportional to the inductor
ripple current. The peak-to-peak ripple current is given by
I
I
K
I
≈
×
=
Δ
3
LOAD
LOAD
I
L
where
K
I
is typically 0.33.
The equation for the inductor value is given by
V
V
L
×
×
Δ
IN
OUT
V
SW
L
OUT
f
IN
I
V
=
)
(
where:
V
IN
is the high voltage input.
V
OUT
is the desired output voltage.
f
SW
is the controller switching frequency (300 kHz, 600 kHz, and
1.0 MHz).
When selecting the inductor, choose an inductor saturation
rating that is above the peak current level, and then calculate
the inductor current ripple (see the Valley Current-Limit
Setting section and Figure 79).
52
50
8
10
12
14
16
18
20
22
24
26
28
30
32
34
36
38
40
42
44
46
48
6
8
10
12
14
16
18
20
22
24
26
28
30
P
VALLEY CURRENT LIMIT (A)
Δ
I = 50%
Δ
I = 40%
Δ
I = 33%
0
Figure 79. Peak Inductor Current vs. Valley Current Limit for 33%, 40%, and
50% of Inductor Ripple Current
Table 8. Recommended Inductors
L
(μH)
(mΩ)
(A)
0.12
0.33
55
0.22
0.33
30
0.47
0.67
50
0.72
1.3
35
0.9
1.6
28
1.2
1.8
25
1.0
3.3
20
1.4
3.2
24
2.0
2.6
22
0.8
2.5
16.5
OUTPUT RIPPLE VOLTAGE (ΔV
RR
)
The output ripple voltage is the ac component of the dc output
voltage during steady state. For a ripple error of 1.0%, the
output capacitor value needed to achieve this tolerance can be
determined using the following equation. (Note that an
accuracy of 1.0% is possible only during steady state conditions,
not during load transients.)
V
V
×
=
Δ
)
01
.
DCR
I
SAT
Dimensions
(mm)
10.2 × 7
10.2 × 7
13.2 × 12.8
10.5 × 10.2
13 × 12.8
10.5 × 10.2
10.5 × 10.2
14 × 12.8
13.2 × 12.8
12.5 × 12.5
Manufacturer
Würth Elek.
Würth Elek.
Würth Elek.
Würth Elek.
Würth Elek.
Würth Elek.
Würth Elek.
Würth Elek.
Würth Elek.
AIC Technology
Model
Number
744303012
744303022
744355147
744325072
744355090
744325120
7443552100
744318180
7443551200
CEP125U-R80
OUT
RR
OUTPUT CAPACITOR SELECTION
The primary objective of the output capacitor is to facilitate the
reduction of the output voltage ripple; however, the output
capacitor also assists in the output voltage recovery during load
transient events. For a given load current step, the output
voltage ripple generated during this step event is inversely
proportional to the value chosen for the output capacitor. The
speed at which the output voltage settles during this recovery
period depends on where the crossover frequency (loop
bandwidth) is set. This crossover frequency is determined by
the output capacitor, the equivalent series resistance (ESR) of
the capacitor, and the compensation network.
To calculate the small-signal voltage ripple (output ripple
voltage) at the steady state operating point, use the following
equation:
[
]
)
×
Δ
Δ
×
×
×
Δ
=
(
8
1
ESR
I
V
f
I
C
L
RIPPLE
SW
L
OUT
where
ESR
is the equivalent series resistance of the output
capacitors.
To calculate the output load step, use the following equation:
Δ
×
=
))
(
(
2
ESR
I
V
f
I
C
LOAD
DROOP
SW
LOAD
OUT
×
Δ
Δ
×
where Δ
V
DROOP
is the amount that V
OUT
is allowed to deviate for
a given positive load current step (ΔI
LOAD
).