Leadwire Temperature Errors
In a single, isolated, three-wire, quarter-bridge
circuit, if the leadwires are of the same resistance
and subjected to the same temperature change, there
is essentially no false circuit output due to
leadwire thermal effects. Since one of the leadwires
is in the active arm of the bridge, and the other is
in the dummy arm, the effects of the resistance
changes cancel. The remaining error, due to a small
change in leadwire desensitization of the gage
factor, is normally small enough to be ignored. But
this situation is entirely different when a common
leadwire arrangement is employed.
The single aspect of common leadwire usage with
the most potential for producing serious errors is
the loss of leadwire temperature compensation. The
copper normally used in leadwires has a rather high
thermal coefficient of resistance. When the common
leadwire and the individual leadwires in each of the
parallel circuits are subjected to the same change in
temperature, false circuit outputs will usually
result. This phenomenon occurs because the common
leadwire carries the sum of the currents carried by
the individual leadwires. Except for a few unique
combinations of leadwire resistances, thermally
induced resistance changes in the leadwires will
produce a different voltage drop in the common and
individual return leadwires, thus unbalancing the
bridge. If, for example, the active and dummy gages
all have the same initial resistance and the
resistances of the common and individual return
leadwires are the same, then the voltage drop in the
common leadwire will be
times as great as in the individual leadwires.
Unlike the case of the isolated quarter-bridge
circuits, these voltage changes do not cancel one
another and, as a result, leadwire temperature
compensation is lost.
Output increment due to leadwire resistance change
with temperature when the resistance of all dummy and
active gages is the same, the common and parallel
leadwires are all of the same resistance, and the
circuit has been shunt calibrated at 1000 microstrain
across the active gages, assuming a gage factor
(package data) of 2.000. Note that any thermal output
from the strain gages is not included.
As shown in the next section, the magnitude of the
false output increases dramatically with both
temperature and number of parallel circuits. These
outputs are essentially independent of the strain
levels to which the gages are subjected. As a result,
loss of temperature compensation can lead to very
large percentage errors (or, in extreme cases, even
the wrong sign!) when measuring typical working
strains.
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