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Convert measurements from a balanced bridge network
to determine resistance.
Syntax
BRIDGE( VIN, VS, BALANCE, RLOAD,
[RCOEFF, LTMP,] [GAIN,] ROUT )
Parameters
- VIN
- Input data pipe with bridge imbalance voltage measurements
- FLOAT PIPE
- VS
- Nominal or measured excitation voltage driving bridge network
- FLOAT CONSTANT | FLOAT PIPE
- BALANCE
- Nominal or measured balancing network gain
- FLOAT CONSTANT
- RLOAD
- Nominal or calibrated load resistance, ohms at 0 degrees C
- FLOAT CONSTANT
- RCOEFF
- Temperature coefficient of resistance of load resistor, ohms per degree C
- FLOAT CONSTANT
- LTMP
- Input pipe with load temperature measurements, degrees C
- FLOAT PIPE
- GAIN
- The gain used to measure the
VIN signal
- FLOAT CONSTANT
- ROUT
- Output resistance measurements, in ohms
- FLOAT PIPE
Description
The BRIDGE command converts the differential
voltage readings from VIN to measure an unknown
resistance in a bridge network configuration. Current from a
known voltage supply drives a load resistance, and then passes
through the unknown device to the drain voltage. On the other
side of the bridge network, two known resistors form a voltage
divider to establish a reference voltage. The differential
measurements of voltage between the measurement and reference
sides of the bridge are used to calculate the values of the
unknown resistance, with results placed into the ROUT
pipe, one output value for each input value.
The differential input measurement will reject "common mode"
voltages, so it does not matter whether the bridge circuit is
excited by balanced plus/minus supplies or a single-sided
supply, as long as the common mode voltage is within a
measurable range. Bridge configurations are useful when the
measured changes in resistance are relatively small and ride
on top of a relatively large constant level. The differential
voltage can be measured with gain to improve resolution.
If a gain other than 1.0 is used, either specify it as
the value of the GAIN parameter, or correct for
the gain prior to sending the VIN data to the
BRIDGE command.
If the supply voltage is very well regulated, it can be
specified as a constant VS parameter. For
best accuracy, measure the actual supply voltage accurately
rather than assuming a nominal value. If the supply is subject
to small but relevant variations, measure its voltage
simultaneously and pass these measurements in units of volts
through a VS pipe, with one supply voltage
measurement per divider voltage reading. If you have balanced
plus and minus supplies, specify the supply-to-supply voltage.
Ideally, the voltage dividers on the reference and
measurement sides of the bridge produce exactly the same voltage
at a suitable reference operating point within the normal
operating range. Obtaining a perfect balance is hard to
achieve and not really necessary. Measure the resistances in the
balancing network accurately, then set the BALANCE
parameter equal to the ratio
BALANCE = Rg / (Rs + Rg)
where Rs is the balancing resistor on the positive supply side
and Rg is the balancing resistor on the negative supply or
ground side
If measurement accuracy is not critical, use nominal
values of the resistors to determine the value of the
BALANCE parameter. Good balancing resistors will
not cause excessive power supply loading, and will establish
a zero differential reading near the center of the operating
range.
Resistors in the balancing network are presumed to be
located in a controlled operating environment where small
temperature variations affect both balancing resistors the same,
hence the ratio remains very stable. If the loading resistor is
also located in a controlled environment, it too can be presumed
to maintain a consistent operating temperature. Specify an
accurately measured value of the RLOAD parameter
at the stable operating temperature, in ohms. If accuracy is not
critical, use the nominal loading resistor value.
When load temperature is not so well controlled and
there is significant thermal variation in the loading
resistor, use the optional RCOEFF and
LTMP parameters. Set the RCOEFF
parameter to the temperature coefficient of load resistance in
ohms per degree Centigrade. Adjust the RLOAD
parameter if necessary so that it equals the correct loading
resistance at 0 degrees Centigrade. Independently measure the
load temperature in units of degrees Centigrade, and send these
readings to the BRIDGE command through the
LTMP pipe. The BRIDGE command will
adjust the value of the loading resistor prior to each
conversion.
For each input voltage measurement, the reference voltage on
the balancing side of the bridge is equal to the
BALANCE ratio times the excitation voltage. The voltage
on the active side of the bridge equals this reference voltage
plus the measured differential voltage. The voltage between
the positive source and the measurement point appears across
the known loading resistance, so the measurement-side current
can be computed. Using the value of this current, and the
known voltage on the measurement side of the bridge, the unknown
value of resistance can be calculated.
Examples
BRIDGE(IP2, 5.0, 0.5, 1000.0, R2)
Voltage measurements are taken for a bridge configuration
in which nominal values of components are used. The voltage at
the active divider junction, relative to the balancing network
junction, is obtained from the differential input sample channel
pipe IPipe 2. The excitation voltage is a
nominal 5.0 volts. The nominal balancing ratio with equal-value
balancing resistors is 0.5. The loading resistor is 1K, equal
to the nominal operating value of the measured resistance.
Default measurement gain of 1.0 is assumed. The computed
resistance values are reported in pipe R2.
BRIDGE(IP2, 4.959, 0.5025, 1001.8, 0.087, TLOAD, 10.0, R2)
The same as the previous configuration, except that all
components are calibrated and the loading resistor value is
compensated for temperature variations to obtain maximum
measurement accuracy. The supply voltage is measured at
4.959 volts. The balancing resistors are not perfectly matched
and their gain ratio is 0.5025. The nominal 1K loading
resistance is measured at 0 degrees Centigrade where it has
the value 1001.8 ohms. The loading resistor value is observed to
increase by 8.7 ohms over a 100 degree temperature swing, so the
temperature coefficient is 0.087 ohms per degrees C. Independent
measurements of the operating temperature of the load resistance
are provided by pipe TLOAD . The measurements use
an amplifier gain of 10.0. The results of the resistance
calculations are returned in pipe R2 .
See also:
DIVIDER
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