7
L T 1111
1111fd
Inductor Selection — General
A DC/DC converter operates by storing energy as mag-
netic flux in an inductor core, and then switching this
energy into the load. Since it is flux, not charge, that is
stored, the output voltage can be higher, lower, or oppo-
site in polarity to the input voltage by choosing an
appropriate switching topology. To operate as an efficient
energy transfer element, the inductor must fulfill three
requirements. First, the inductance must be low enough
for the inductor to store adequate energy under the worst
case condition of minimum input voltage and switch-on
time. The inductance must also be high enough so maxi-
mum current ratings of the LT1111 and inductor are not
exceeded at the other worst case condition of maximum
input voltage and ON time. Additionally, the inductor core
must be able to store the required flux; i.e., it must not
saturate. At power levels generally encountered with
LT1111 based designs, small surface mount ferrite core
units with saturation current ratings in the 300mA to 1A
range and DCR less than 0.4 (depending on application)
are adequate. Lastly, the inductor must have sufficiently
low DC resistance so excessive power is not lost as heat
in the windings. An additional consideration is Electro-
Magnetic Interference (EMI). Toroid and pot core type
inductors are recommended in applications where EMI
must be kept to a minimum; for example, where there are
sensitive analog circuitry or transducers nearby. Rod core
types are a less expensive choice where EMI is not a
problem. Minimum and maximum input voltage, output
voltage and output current must be established before an
inductor can be selected.
Inductor Selection — Step-Up Converter
In a step-up, or boost converter (Figure 4), power gener-
ated by the inductor makes up the difference between
input and output. Power required from the inductor is
determined by:
PV VV I
L OUT D IN
MIN
OUT
=+
()()
–()1
where V
D
is the diode drop (0.5V for a 1N5818 Schottky).
Energy required by the inductor per cycle must be equal or
greater than:
U
S
A
O
PP
L
IC
AT
I
WU
U
I FOR ATIO
P
f
L OSC
/()2
in order for the converter to regulate the output.
When the switch is closed, current in the inductor builds
according to:
It
V
R
e
L
IN
Rt
L
() ( )
=
13
where R is the sum of the switch equivalent resistance
(0.8 typical at 25°C) and the inductor DC resistance.
When the drop across the switch is small compared to V
IN
,
the simple lossless equation:
It
V
L
t
L
IN
()
= ()4
can be used. These equations assume that at t = 0,
inductor current is zero. This situation is called “discon-
tinuous mode operation” in switching regulator parlance.
Setting “t” to the switch-on time from the LT1111 speci-
fication table (typically 7µs) will yield I
PEAK
for a specific
“L” and V
IN
. Once I
PEAK
is known, energy in the inductor
at the end of the switch-on time can be calculated as:
ELI
L
PEAK
=
1
2
5
2
()
E
L
must be greater than P
L
/f
OSC
for the converter to deliver
the required power. For best efficiency I
PEAK
should be
kept to 1A or less. Higher switch currents will cause
excessive drop across the switch resulting in reduced
efficiency. In general, switch current should be held to as
low a value as possible in order to keep switch, diode and
inductor losses at a minimum.
As an example, suppose 12V at 60mA is to be generated
from a 4.5V to 8V input. Recalling equation (1),
P V V V mA mW
L
=+
()()
=12 0 5 4 5 60 480 6.–. ()
Energy required from the inductor is
P
f
mW
kHz
J
L
OSC
==
480
72
67 7.()µ
8
LT1111
1111fd
U
S
A
O
PP
L
IC
AT
I
WU
U
I FOR ATIO
V
D
= diode drop (0.5V for a 1N5818)
I
OUT
= output current
V
OUT
= output voltage
V
IN
= minimum input voltage
V
SW
is actually a function of switch current which is in turn
a function of V
IN
, L, time, and V
OUT
. To simplify, 1.5V can
be used for V
SW
as a very conservative value.
Once I
PEAK
is known, inductor value can be derived from:
L
VVV
I
t
IN MIN SW OUT
PEAK
ON
=
−−
•()11
where t
ON
= switch-on time (7µs).
Next, the current limit resistor R
LIM
is selected to give
I
PEAK
from the R
LIM
Step-Down Mode curve. The addition
of this resistor keeps maximum switch current constant as
the input voltage is increased.
As an example, suppose 5V at 300mA is to be generated
from a 12V to 24V input. Recalling Equation (10),
I
mA
mA
PEAK
=
()
+
+
=
2 300
050
505
12 15 05
600 12
.
.
–. .
()
Next, inductor value is calculated using Equation (11):
L
mA
sH==
12 1 5 5
600
764 13
–.–
.()µµ
Use the next lowest standard value (56µH).
Then pick R
LIM
from the curve. For I
PEAK
= 600mA, R
LIM
= 56.
Inductor Selection — Positive-to-Negative Converter
Figure 7 shows hookup for positive-to-negative conver-
sion. All of the output power must come from the inductor.
In this case,
P
L
= (V
OUT
+ V
D
)(I
OUT
) (14)
In this mode the switch is arranged in common collector
or step-down mode. The switch drop can be modeled as
a 0.75V source in series with a 0.65 resistor. When the
Picking an inductor value of 47µH with 0.2 DCR results
in a peak switch current of:
I
V
emA
PEAK
s
H
=
=
45
10
1 623 8
10 7
47
.
.
–.()
–.
Ωµ
µ
Substituting I
PEAK
into Equation 4 results in:
EHAJ
L
=
()( )
=
1
2
47 0 623 9 1 9
2
µµ.. ()
Since 9.1µJ > 6.7µJ, the 47µH inductor will work. This
trial-and-error approach can be used to select the opti-
mum inductor. Keep in mind the switch current maximum
rating of 1.5A. If the calculated peak current exceeds this,
consider using the LT1110. The 70% duty cycle of the
LT1110 allows more energy per cycle to be stored in the
inductor, resulting in more output power.
A resistor can be added in series with the I
LIM
pin to invoke
switch current limit. The resistor should be picked so the
calculated I
PEAK
at minimum V
IN
is equal to the Maximum
Switch Current (from Typical Performance Characteristic
curves). Then, as V
IN
increases, switch current is held
constant, resulting in increasing efficiency.
Inductor Selection — Step-Down Converter
The step-down case (Figure 5) differs from the step-up in
that the inductor current flows through the load during
both the charge and discharge periods of the inductor.
Current through the switch should be limited to ~650mA
in this mode. Higher current can be obtained by using an
external switch (see Figure 6). The I
LIM
pin is the key to
successful operation over varying inputs.
After establishing output voltage, output current and input
voltage range, peak switch current can be calculated by the
formula:
I
I
DC
VV
VV V
PEAK
OUT OUT D
IN SW D
=
+
+
2
10
()
where DC = duty cycle (0.50)
V
SW
= switch drop in step-down mode
9
L T 1111
1111fd
specifically designed for switch mode DC/DC converters
which work much better than general-purpose units.
Tantalum capacitors provide still better performance at
more expense. We recommend OS-CON capacitors from
Sanyo Corporation (San Diego, CA). These units are
physically quite small and have extremely low ESR. To
illustrate, Figures 1, 2, and 3 show the output voltage of an
LT1111 based converter with three 100µF capacitors. The
peak switch current is 500mA in all cases. Figure 1 shows
a Sprague 501D, 25V aluminum capacitor. V
OUT
jumps by
over 120mV when the switch turns off, followed by a drop
in voltage as the inductor dumps into the capacitor. This
works out to be an ESR of over 0.24.
Figure 2 shows the
same circuit, but with a Sprague 150D, 20V tantalum
capacitor replacing the aluminum unit. Output jump is
now about 35mV, corresponding to an ESR of 0.07.
Figure 3 shows the circuit with a 16V OS-CON unit. ESR
is now only 0.02.
U
S
A
O
PP
L
IC
AT
I
WU
U
I FOR ATIO
switch closes, current in the inductor builds according to
It
V
R
e
L
L
Rt
L
()
=
115–()
where R = 0.65 + DCR
L
V
L
= V
IN
– 0.75V
As an example, suppose –5V at 50mA is to be generated
from a 4.5V to 5.5V input. Recalling Equation (14),
P
L
= (-5V+0.5V)(50mA) = 275mW (16)
Energy required from the inductor is:
P
f
mW
kHz
J
L
OSC
==
275
72
38 17.. ()µ
Picking an inductor value of 56µH with 0.2 DCR results
in a peak switch current of:
I
VV
emA
PEAK
s
H
=
()
+
()
=
×
45 075
065 02
1 445
085 7
56
.–.
..
–.
–.
ΩΩ
Ωµ
µ
Substituting I
PEAK
into Equation (4) results in:
EHAJ
L
=
()( )
=
1
2
56 0 445 5 54 19
2
µµ...()
Since 5.54µJ > 3.82µJ, the 56µH inductor will work.
With this relatively small input range, R
LIM
is not usually
necessary and the I
LIM
pin can be tied directly to V
IN
. As in
the step-down case, peak switch current should be limited
to ~650mA.
Capacitor Selection
Selecting the right output capacitor is almost as important
as selecting the right inductor. A poor choice for a filter
capacitor can result in poor efficiency and/or high output
ripple. Ordinary aluminum electrolytics, while inexpensive
and readily available, may have unacceptably poor
equivalent series resistance (ESR) and ESL (inductance).
There are low ESR aluminum capacitors on the market
50mV/DIV
5µs/DIV
LT1111 • F01
Figure 1. Aluminum
50mV/DIV
5µs/DIV
LT1111 • F02
Figure 2. Tantalum
50mV/DIV
5µs/DIV
LT1111 • F01
Figure 3. OS-CON
(18)

LT1111IS8#TRPBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Switching Voltage Regulators Micropower DC/DC Converter Adjustable and Fixed 5V, 12V
Lifecycle:
New from this manufacturer.
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