ADP1864 Data Sheet
Rev. C | Page 10 of 16
APPLICATIONS INFORMATION
ADIsimPower DESIGN TOOL
The ADP1864 is supported by ADIsimPower design tool set.
ADIsimPower is a collection of tools that produce complete
power designs optimized for a specific design goal. The tools
enable the user to generate a full schematic, bill of materials,
and calculate performance in minutes. ADIsimPower can
optimize designs for cost, area, efficiency, and parts count
while taking into consideration the operating conditions and
limitations of the IC and all real external components. For
more information about ADIsimPower design tools, refer to
www.analog.com/ADIsimPower. The tool set is available from
this website, and users can also request an unpopulated board
through the tool.
DUTY CYCLE
To determine the worst-case inductor ripple current, output
voltage ripple, and slope compensation factor, establish the
system maximum and minimum duty cycle. The duty cycle is
calculated by the equation
( )
DIN
D
OUT
VV
VV
DCCycleDuty +
+
=
(1)
where VD is the diode forward drop.
A typical Schottky diode has a forward voltage drop of 0.5 V.
RIPPLE CURRENT
Choose the peak-to-peak inductor ripple current between 20%
and 40% of the maximum load current at the system’s highest
input voltage. A good starting point for a design is to pick the
peak-to-peak ripple current at 30% of the load current.
ΔI(PEAK) = 0.3 × ILOAD(MAX) (2)
SENSE RESISTOR
Choose the sense resistor value to provide the desired current
limit. The internal current comparator measures the peak
current (sum of load current and positive inductor ripple
current) and compares it against the current limit threshold.
The current sense resistor value is calculated by the equation
( )
( ) ( )
2
PEAK
MAXLOAD
MINSENSE
I
I
PCSV
R∆
+
=
(3)
where PCSV is the peak current sense voltage, typically 0.125 V.
To ensure the design provides the required output load current
over all system conditions, consider the variation in PCSV over
temperature (see the Specifications section) as well as increases
in ripple current due to inductor tolerance.
If the system is being operated with >40% duty cycle, incor-
porate the slope compensation factor into the calculation.
( )
( ) ( )
2
PEAK
MAXLOAD
MINSENSE I
I
PCSVSF
R∆
+
×
=
(4)
where SF is the slope factor correction ratio, taken from
Figure 13, at the system maximum duty cycle (minimum
input voltage).
01.0
05562-014
DUTY CYCLE
1.05
0.35
0.95
0.85
0.75
0.65
0.55
0.45
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
SLOPE FACTOR (SF)
Figure 13. Slope Factor (SF) vs. Duty Cycle
INDUCTOR VALUE
The inductor value choice is important because it dictates the
inductor ripple and, therefore, the voltage ripple at the output.
When operating the part at >40% duty cycle, keep the inductor
value low enough for the slope compensation to remain
effective.
The inductor ripple current is inversely related to the
inductor value.
( )
+
+
×
×
−
=∆
DIN
D
OUTOUT
IN
PEAK VV
VV
fL
VV
I (5)
where f is the oscillator frequency.
Smaller inductor values are usually less expensive, but increase
the ripple current and the output voltage ripple. Too large an
inductor value results in added expenses and can impede effective
load transient responses at >40% duty cycle because it reduces
the effect of slope compensation.
Start with the highest input voltage, and assuming the ripple
current is 30% of the maximum load current,
( )
( )
+
+
×
××
−
=
DIN
D
OUT
MAXLOAD
OUT
IN
VV
VV
fI
VV
L3.0
(6)
From this starting point, modify the inductance to obtain
the right balance of size, cost, and output voltage ripple, while
maintaining the inductor ripple current between 20% and 40%
of the maximum load current.