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X3100 Current Measurement
Accuracy
AN142 Rev 0.00 Page 2 of 8
May 5, 2005
On the following charts, errors are calculated as follows:
Raw error:
Average error:
Average error after offset and gain adjust:
Worst case error at 0°C, after offset and gain adjust:
Worst case error at 50°C, after offset and gain adjust:
Where:O = Output
I = Input
G = Gain
avg = Average
std = Standard Deviation
off = offset
OG = Offset/Gain
(x) = at x degrees C
Overall Performance
The following set of graphs shows the performance of the
X3100 over temperature and across three lots of five devices.
The graphs will show the basic input/output curve, raw error,
and error after correction for offset and gain.
The below data shows that the error at the x10 gain is the
lowest. Using a 20m current sense resistor, and considering
3 standard deviations from the worst case temperature (over 3
manufacturing lots), the X3100 output is accurate to less than
1.4% at 300mA of load current and above. At a gain of 25, the
X3100 has less than 5% error at a load current of 50mA. This
error declines at higher currents to about the same as the x10
gain. At all gains, the error increases as the input current
decreases.
Comments
The AO pin on the X3100 is biased to a nominal 2.5V when
reading the voltage across the VCS1 and VCS2 pins. However,
there is an offset to this value that can make the output (at 0V
input) either higher or lower than this 2.5V nominal value. The
output with 0V current sense input ranged from 1.8 to 2.9V for
the devices under test (at a gain of 160). The difference in
voltage between the nominal output and the actual output
becomes more apparent at higher gains. This is due to a small
input offset in the current sense amplifier that is magnified at
the output by the gain of the amplifier. This offset is mostly
cancelled by reading the voltage across the CSI pins in both
directions and subtracting the two values.
While the process of reading the voltage in both directions and
subtracting the two values cancels most of the offset on the
X3100 current sense amplifier, it does not cancel it all. The
remaining output offset is approximately 668uV at a gain of 10,
1.7mV at a gain of 25, 5.7mV at a gain of 80 and 11mV at a gain
of 160. This offset becomes significant at the lowest input
voltages, since it can be nearly the same voltage as the expected
output. In some of the charts that follow, the output has been
compensated by subtracting this offset from the recorded values.
This cancels out the error for average conditions, but leaves large
errors at small input voltages due to variations in this offset. With
the test setup used it is not possible to determine whether these
offset error variations are caused by the environment or the
device.
The charts in this document that show errors after offset
compensation use an average offset value. This value is an
average over all devices across all temperatures. To improve the
accuracy, especially at lower input voltages, a calibration
procedure could be used. This calibration procedure would apply
0V across the VCS1 and VCS2 pins. Then, at each gain setting,
the measured output (after reading in both directions and
subtracting) is saved as a common offset value.
The gain adjust is determined by dividing the output by the input
voltage. The gain is averaged over all inputs and all devices at all
temperatures. This average value is then used to divide into the
output reading to determine the compensated error. Based on the
data collected, the average gain for the 160 setting is 160.17, the
average gain for the 80 setting is 79.24, the average gain for the
25 setting is 24.53 and the average gain for the 10 setting is 9.77.
Using these average values will reduce the error when computing
the input current. However to improve the accuracy further, each
device can be calibrated for the particular gain. To do this, apply a
known current across the current sense resistor. Use a current
that is relatively high, such as 500mA. At each gain read the
output and divide this by the known input. Use this gain value
in
subsequent calculations.
Raw
O
G
---- I–
I
------------=
Avg
avgO
G
--------------- I–
I
-----------------------=
AvgOGadj
avgO avgoff–
avgG
---------------------------------------- I–
I
------------------------------------------------=
StdOGadj 0
avgO 0 3std0+
avgG
---------------------------------------------------------- I–
I
-----------------------------------------------------------------=
StdOGadj 50
avgO 503std50–
avgG
---------------------------------------------------------------- I–
I
------------------------------------------------------------------------=