LTC1966
13
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applicaTions inForMaTion
DESIGN COOKBOOK
The LTC1966 RMS-to-DC converter makes it easy to
implement a rather quirky function. For many applications
all that will be needed is a single capacitor for averaging,
appropriate selection of the I/O connections and power
supply bypassing. Of course, the LTC1966 also requires
power. A wide variety of power supply configurations are
shown in the Typical Applications section towards the end
of this data sheet.
Capacitor Value Selection
The RMS or root-mean-squared value of a signal, the root
of the mean of the square, cannot be computed without
some averaging to obtain the mean function. The LTC1966
true RMS-to-DC converter utilizes a single capacitor on
the output to do the low frequency averaging required for
RMS-to-DC conversion. To give an accurate measure of a
dynamic waveform, the averaging must take place over a
sufficiently long interval to average, rather than track, the
lowest frequency signals of interest. For a single averag-
ing capacitor, the accuracy at low frequencies is depicted
in Figure 6.
Figure 6 depicts the so-called DC error that results at a
given combination of input frequency and filter capacitor
values
1
. It is appropriate for most applications, in which
the output is fed to a circuit with an inherently band lim-
ited frequency response, such as a dual slope/integrating
A/D converter, a ∆S A/D converter or even a mechanical
analog meter.
Figure 6. DC Error vs Input Frequency
Figure 7. Output Ripple Exceeds DC Error
However, if the output is examined on an oscilloscope
with a very low frequency input, the incomplete averag-
ing will be seen, and this ripple will be larger than the
error depicted in Figure 6. Such an output is depicted in
Figure7. The ripple is at twice the frequency of the input
because of the computation of the square of the input.
The typical values shown, 5% peak ripple with 0.05% DC
error, occur with C
AVE
= 1µF and f
INPUT
= 10Hz.
If the application calls for the output of the LTC1966 to feed
a sampling or Nyquist A/D converter (or other circuitry that
will not average out this double frequency ripple) a larger
averaging capacitor can be used. This trade-off is depicted
in Figure 8. The peak ripple error can also be reduced by
additional lowpass filtering after the LTC1966, but the
simplest solution is to use a larger averaging capacitor.
1
This frequency dependent error is in addition to the static errors that affect all readings and are
therefore easy to trim or calibrate out. The Error Analyses section to follow discusses the effect
of static error terms.
C = 4.7
µ
F
INPUT FREQUENCY (Hz)
1
2.0
DC ERROR (%)
–1.6
–1.2
0.8
0.4
10 20 50 60 100
1966 F06
0
–1.8
–1.4
–1.0
0.6
0.2
C = 10µF
C = 2.2µF
C = 1.0µF
C = 0.47µF
C = 0.22µF
C = 0.1µF
TIME
OUTPUT
1966 F07
DC
ERROR
(0.05%)
IDEAL
OUTPUT
DC
AVERAGE
OF ACTUAL
OUTPUT
PEAK
RIPPLE
(5%)
ACTUAL OUTPUT
WITH RIPPLE
f = 2 × f
INPUT
PEAK
ERROR =
DC ERROR +
PEAK RIPPLE
(5.05%)
LTC1966
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applicaTions inForMaTion
A 1µF capacitor is a good choice for many applications.
The peak error at 50Hz/60Hz will be <1% and the DC error
will be <0.1% with frequencies of 10Hz or more.
Note that both Figure 6 and Figure 8 assume AC-coupled
waveforms with a crest factor less than 2, such as sine
waves or triangle waves. For higher crest factors and/or
AC + DC waveforms, a larger C
AVE
will generally be required.
See Crest Factor and AC + DC Waveforms.
Capacitor Type Selection
The LTC1966 can operate with many types of capacitors.
The various types offer a wide array of sizes, tolerances,
parasitics, package styles and costs.
Ceramic chip capacitors offer low cost and small size,
but are not recommended for critical applications. The
value stability over voltage and temperature is poor with
many types of ceramic dielectrics. This will not cause an
RMS-to-DC accuracy problem except at low frequencies,
where it can aggravate the effects discussed in the pre-
vious section. If a ceramic capacitor is used, it may be
necessary to use a much higher nominal value in order
to assure the low frequency accuracy desired.
Another parasitic of ceramic capacitors is leakage, which is
again dependent on voltage and particularly temperature.
If the leakage is a constant current leak, the I • R drop of
the leak multiplied by the output impedance of the LTC1966
will create a constant offset of the output voltage. If the
leak is Ohmic, the resistor divider formed with the LTC1966
output impedance will cause a gain error. For <0.1%
gain accuracy degradation, the parallel impedance of the
capacitor leakage will need to be >1000 times the LTC1966
output impedance. Accuracy at this level can be hard to
achieve with a ceramic capacitor, particularly with a large
value of capacitance and at high temperature.
For critical applications, a film capacitor, such as metalized
polyester, will be a much better choice. Although more
expensive, and larger for a given value, the value stabil-
ity and low leakage make metal film capacitors a trouble
free choice.
With any type of capacitor, the self resonance of the capaci-
tor can be an issue with the switched capacitor LTC1966.
If the self resonant frequency of the averaging capacitor
is 1MHz or less, a second smaller capacitor should be
added in parallel to reduce the impedance seen by the
LTC1966 output stage at high frequencies. A capacitor 100
times smaller than the averaging capacitor will typically be
small enough to be a low cost ceramic with a high quality
dielectric such as X7R or NPO/COG.
Input Connections
The LTC1966 input is differential and DC coupled. The
LTC1966 responds to the RMS value of the differential
voltage between Pin 2 and Pin 3, including the DC por-
tion of that difference. However, there is no DC-coupled
path from the inputs to ground. Therefore, at least one of
the two inputs must be connected with a DC return path
to ground.
Both inputs must be connected to something. If either
input is left floating, a zero volt output will result.
Figure 8. Peak Error vs Input Frequency with One Cap Averaging
INPUT FREQUENCY (Hz)
1
2.0
PEAK ERROR (%)
–1.6
–1.2
0.8
0.4
10 20 50 60 100
1966 F08
0
–1.8
–1.4
–1.0
0.6
0.2
C = 100µF
C = 47µF
C = 22µF C = 10µF
C = 4.7µF
C = 2.2µF C = 1µF
LTC1966
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applicaTions inForMaTion
For single-ended DC-coupled applications, simply con-
nect one of the two inputs (they are interchangeable) to
the signal, and the other to ground. This will work well
for dual supply configurations, but for single supply
configurations it will only work well for unipolar input
signals. The LTC1966 input voltage range is from rail-
to-rail, and when the input is driven above V
DD
or below
V
SS
(ground for single supply operation) the gain and
offset errors will increase substantially after just a few
hundred millivolts of overdrive. Fortunately, most single
supply circuits measuring a DC-coupled RMS value will
include some reference voltage other than ground, and
the second LTC1966 input can be connected to that point.
For single-ended AC-coupled applications, Figure 9 shows
three alternate topologies. The first one, shown in Figure 9a
uses a coupling capacitor to one input while the other is
grounded. This will remove the DC voltage difference from
the input to the LTC1966, and it will therefore not be part
of the resulting output voltage. Again, this connection will
work well with dual supply configurations, but in single
supply configurations it will be necessary to raise the volt-
age on the grounded input to assure that the signal at the
active input stays within the range of V
SS
to V
DD
. If there
is already a suitable voltage reference available, connect
the second input to that point. If not, a midsupply voltage
can be created with two resistors as shown in Figure 9b.
Finally, if the input voltage is known to be between V
SS
and V
DD
, it can be AC-coupled by using the configuration
shown in Figure 9c. Whereas the DC return path was
provided through Pin 3 in Figures 9a and 9b, in this case,
the return path is provided on Pin 2, through the input
signal voltages. The switched capacitor action between
the two input pins of the LTC1966 will cause the voltage
on the coupling capacitor connected to the second input
to follow the DC average of the input voltage.
For differential input applications, connect the two inputs
to the differential signal. If AC coupling is desired, one of
the two inputs can be connected through a series capacitor.
In all of these connections, to choose the input coupling
capacitor, C
C
, calculate the low frequency coupling time
constant desired, and divide by the LTC1966 differential
input impedance. Because the LTC1966 input impedance
is about 100 times its output impedance, this capacitor is
typically much smaller than the output averaging capaci-
tor. Its requirements are also much less stringent, and a
ceramic chip capacitor will usually suffice.
Output Connections
The LTC1966 output is differentially, but not symmetrically,
generated. That is to say, the RMS value that the LTC1966
computes will be generated on the output (Pin 5) relative
to the output return (Pin 6), but these two pins are not
interchangeable. For most applications, Pin 6 will be tied
to ground (Pin 1), and this will result in the best accuracy.
However, Pin 6 can be tied to any voltage between V
SS
(Pin 4) and V
DD
(Pin 7) less the maximum output voltage
swing desired. This last restriction keeps V
OUT
itself (Pin 5)
within the range of V
SS
to V
DD
. If a reference level other
than ground is used, it should be a low impedance, both
AC and DC, for proper operation of the LTC1966.
Use of a voltage in the range of V
DD
– 1V to V
DD
– 1.3V can
lead to errors due to the switch dynamics as the NMOS
transistor is cut off. For this reason, it is recommended
that OUT RTN = 0V if V
DD
is ≤3V.
Figure 9. Single-Ended AC-Coupled Input Connection Alternatives
+
LTC1966
V
DD
V
DD
V
SS
V
DD
V
SS
OR GND
(9a)
C
C
IN1
V
IN
IN2
2
3
LTC1966
(9b)
C
C
R1
100k
R2
100k
IN1
V
IN
V
DD
IN2
2
3
LTC1966
(9c)
C
C
IN1
V
IN
1966 F09
V
DC
IN2
2
3

LTC1966MPMS8#PBF

Mfr. #:
Manufacturer:
Analog Devices Inc.
Description:
Power Management Specialized - PMIC Prec uP, DS RMS-to-DC Conv
Lifecycle:
New from this manufacturer.
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