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LT1777
APPLICATIONS INFORMATION
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Deciding upon a value for the sense inductor involves
evaluating the trade-off between overall efficiency (P
OUT
/
P
IN
) and switch current slew rate. Larger sense inductors
yield lower current slew rates which offer reduced high
frequency RFI emissions, but at the expense of poorer
efficiency.
The question is “What is the allowed range of values for a
sense inductor in a given application?” There is really no
minimum
limit to the sense inductor, i.e., its value is
allowed to be zero. (In other words, the physical sense
inductor ceases to exist and is replaced by a short circuit.)
This will yield the highest efficiency possible in a given
situation. Although an explicit current slew rate no longer
exists, the naturally less aggressive nature of the LT1777
will often yield quieter supply operation than other stan-
dard switching regulators.
As far as the
maximum
allowable value for the sense
inductor, this is dictated by the current ramp rate in the
main inductor during the conventional part of the switch-
ing cycle. It is generally overconservative to limit the
switch current slew rate to that exhibited by the main
inductor. This would potentially yield a triangular current
waveform. Efficiency would be greatly reduced at little
further gain in noise performance. Stated mathematically,
maximum slew rate in the main inductor occurs at maxi-
mum input voltage as:
dI
dt
Max V V
L
IN OUT
MAIN
=
The sense inductor experiences 2V
BE
of applied voltage.
This is perhaps 1.0V at a maximum hot condition. If we use
an additional factor of two to be conservative, this yields
a maximum sense inductor value as follows:
05
05
.
,
.
V
L
Max V V
L
or
Max L L
V
Max V V
SENSE
IN OUT
MAIN
SENSE MAIN
IN OUT
=
=
As an example, a maximum input voltage of 36V, an output
voltage of 5V and a main inductor value of 220µH yields a
maximum suggested sense inductor value of 3.5µH.
Circuit behavior versus sense inductor value is shown in
the oscilloscope photos in Figure 2. The circuit and oper-
ating conditions are similar to the Typical Application on
the first page of this data sheet with the exception that the
sense inductor is allowed to assume the series of values:
0µH, 0.47µH, 1µH and 2.2µH. Figure 2a shows a close-up
of the leading edge (turn-on) of the current waveform.
Values of 0µH and 0.47µH are found to yield a dI/dt of
about 2.2A/µs, while 1µH yields 1.4A/µs and 2.2µH yields
0.6A/µs. Figure 2b shows the trailing edge (turn-off) of the
Figure 2. V
SW
Node Current Behavior vs L
SENSE
Value.
L
SENSE
= 0µH, 0.47µH, 1.0µH and 2.2µH
100mA/DIV
200ns/DIV
1777 F02a
(a) Leading Edge
100mA/DIV
200ns/DIV
1777 F02b
(b) Trailing Edge
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LT1777
APPLICATIONS INFORMATION
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current waveform. The four sense inductor values of 0µH,
0.47µH, 1µH and 2.2µH yield dI/dt rates of roughly
4.5A/µs, 2.2A/µs, 1.4A/µs and 0.6A/µs, respectively.
These photos show that there is a minimum effective value
for sense inductance, which is 0.47µH for a typical part at
room temperature as shown. This value inductor has a
small effect on the trailing edge rate, but essentially no
effect on the rising edge. Minimum effective sense induc-
tance value means that inductors much smaller than this
value will have substantially the same performance as zero
inductance, such that these inductors serve no useful
purpose.
In summary,
1. The LT1777 uses an external sense inductor to set a
theoretical limit for current ramp rate according to the
formula:
Max dI dt
V
L
BE
SENSE
/ =
2
2. Allowable range for the sense inductor runs from a
minimum of 0 to a maximum of:
Max L L
V
Max V V
SENSE MAIN
IN OUT
=
05.
3. The minimum effective inductor size is typically 0.47µH.
Harmonic Behavior
The LT1676 is a high efficiency “cousin” to the LT1777. An
additional set of oscilloscope photographs in Figure 3
show the leading edge and trailing edge of the current
waveform when this part is substituted for the LT1777.
(No sense inductor is used with the LT1676.) The leading
and trailing edges of the LT1676 current waveform are
much faster than that of the LT1777, even when the
LT1777 uses a sense inductor of 0µH. The 10% to 90%
rise time/fall time is on the order of 10ns to 20ns, too fast
to measure accurately at the horizontal sweep rate of
200ns/DIV.
While this time-based analysis demonstrates that the
current waveform of the LT1777 is quieter than standard
high efficiency buck converters, some users may prefer to
see a direct comparison on a frequency domain basis.
Figures 4a, 4b, and 4c show a spectral analysis of the
current waveforms. The horizontal axis is 2MHz/DIV (0MHz
to 20MHz), and the vertical axis is 10dB/DIV. All photos
were taken with V
IN
= 24V and V
OUT
= 5V at 400mA. Figure
4a is of the LT1676 and is for comparison purposes.
Figures 4b and 4c are of the LT1777 with a sense inductor
of 0µH and 2.2µH, respectively. A decrease in high fre-
quency energy is seen when going from the LT1676 to the
LT1777 with no sense inductor, and a further improve-
ment with a 2.2µH sense inductor. For example, at 10MHz,
the LT1777 shows an improvement of about –10dB with
0µH and perhaps –25dB with 2.2µH.
100mA/DIV
200ns/DIV
1777 F03a
(a) Leading Edge
Figure 3. LT1676 Current Behavior for Comparison Purposes Only
100mA/DIV
200ns/DIV
1777 F03b
(b) Trailing Edge
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LT1777
APPLICATIONS INFORMATION
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voltage of 12V, and then 36V. Once again the circuit is the
Typical Application shown on the first page of this data
sheet, with an output load of 400mA.
Figure 5a, with V
IN
of 12V, shows a relatively rectangular
voltage waveform. The limited voltage slew rate still allows
for nearly vertical switching edges, so little power is
wasted. A positive-going step before the leading edge and
a negative-going step after the trailing edge can be seen.
These are evidence of the internal current limiting circuitry
at work.
Figure 5b, with V
IN
of 36V, shows a substantially
nonrectangular waveform. The limited voltage slew rate is
clearly evident as transitions take a few hundred nanosec-
onds. Efficiency (P
OUT
/P
IN
) is reduced as a result of the
slower transitions. For comparison purposes, the oscillo-
scope photo in Figure 6 shows the performance of the high
efficiency LT1676. Voltage transitions are well under
100ns and the waveform appears quite rectangular.
10dB/DIV
0MHz to 20MHz (2MHz/DIV)
1777 F04a
(a) LT1676 for Comparison
10dB/DIV
0MHz to 20MHz (2MHz/DIV)
1777 F04b
(b) LT1777 with L
SENSE
= 0µH
10dB/DIV
0MHz to 20MHz (2MHz/DIV)
1777 F04c
(c) LT1777 with L
SENSE
= 2.2µH
Voltage Waveform Behavior
Unlike current behavior, voltage slew rate of the LT1777 is
not adjustable by the user. No component selection or
other action is required. Nevertheless, it is instructive to
examine typical behavior. The oscilloscope photos in
Figure 5 show the V
SW
voltage waveform with an input
2V/DIV
1µs/DIV
1777 F05a
(a) V
IN
= 12V
GND
Figure 5. V
SW
Node Voltage Behavior
10V/DIV
500ns/DIV
1777 F05b
(b) V
IN
= 36V
GND
Figure 4. Spectral Analysis of Current Waveforms in
Figures 2 and 3. (V
IN
= 24V, V
OUT
= 5V, I
OUT
= 400mA)

LT1777IS#PBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Switching Voltage Regulators L N Buck Sw Reg
Lifecycle:
New from this manufacturer.
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