Campbell Scientific CR6 CR6 Measurement and Control System - Page 240

BrHalf4W, PRTCalc

Page 240 highlights

Section 7. Installation • High accuracy with long leads Example PRT specifications: • Alpha = 0.00385 (PRT Type 1) A four-wire half-bridge, measured with BrHalf4W(), is the best configuration for accuracy in cases where the PRT is separated from bridge resistors by a lead length having more than a few thousandths of an ohm resistance. In this example, the measurement range is -10 to 40 °C. The length of the cable from the CR6 and the bridge resistors to the PRT is 500 feet. Figure PT100 in Four-Wire Half-Bridge (p. 241) shows the circuit used to measure a 100 Ω PRT. The 10 kΩ resistor allows the use of a high excitation voltage and a low input range. This ensures that noise in the excitation does not have an effect on signal noise. Because the fixed resistor (Rf) and the PRT (RS) have approximately the same resistance, the differential measurement of the voltage drop across the PRT can be made on the same range as the differential measurement of the voltage drop across Rf. The use of the same range eliminates range translation errors that can arise from the 0.01% tolerance of the range translation resistors internal to the CR6. Calculating the Excitation Voltage The voltage drop across the PRT is equal to VX multiplied by the ratio of RS to the total resistance, and is greatest when RS is greatest (RS = 115.54 Ω at 40 °C). To find the maximum excitation voltage that can be used on the ± mV input range, assume V2 is equal to mV and use Ohm's Law to solve for the resulting current, I. I = mV/RS = mV/115. 54 ohms = mA Next solve for VX: VX = I*(R1 + RS + Rf) = V If the actual resistances were the nominal values, the CR6 would not over range with VX = V. However, to allow for the tolerance in actual resistors, set VX equal to V (e.g., if the 10 kΩ resistor is 5% low, i.e., RS/(R1+RS+Rf)=115.54 / 9715.54, and VX must be V to keep VS less than mV). Calculating the BrHalf4W() Multiplier The result of BrHalf4W() is equivalent to RS/Rf. X = RS/Rf PRTCalc() computes the temperature (°C) for a DIN 43760 standard PRT from the ratio of the PRT resistance to its resistance at 0 °C (RS/R0). Thus, a multiplier of Rf/R0 is used in BrHalf4W() to obtain the desired intermediate, RS/R0 (=RS/Rf • Rf/R0). If RS and R0 were each exactly 100 Ω, the multiplier would be 1. However, neither resistance is likely to be exact. The correct multiplier is found by connecting the PRT to the CR6 and entering BrHalf4W() with a multiplier of 1. The PRT is then placed in an ice bath (0 °C), and the result of the bridge measurement is read. The reading is RS/Rf, which is equal to R0/Rf since RS=R0 at 0 °C. The correct value of the multiplier, Rf/R0, is the reciprocal of this reading. The initial reading assumed for this example was 0.9890. The correct multiplier 240

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Section 7.
Installation
High accuracy with long leads
Example PRT specifications:
Alpha = 0.00385 (PRT Type 1)
A four-wire half-bridge, measured with
BrHalf4W()
, is the best configuration for
accuracy in cases where the PRT is separated from bridge resistors by a lead
length having more than a few thousandths of an ohm resistance.
In this example,
the measurement range is –10 to 40 °C.
The length of the cable from the CR6 and
the bridge resistors to the PRT is 500 feet.
Figure
PT100 in Four-Wire Half-Bridge
(p. 241)
shows the circuit used to measure a
100 Ω PRT.
The 10 kΩ resistor allows the use of a high excitation voltage and a
low input range.
This ensures that noise in the excitation does not have an effect
on signal noise. Because the fixed resistor (R
f
) and the PRT (R
S
) have
approximately the same resistance, the differential measurement of the voltage
drop across the PRT can be made on the same range as the differential
measurement of the voltage drop across R
f
.
The use of the same range eliminates
range translation errors that can arise from the 0.01% tolerance of the range
translation resistors internal to the CR6.
Calculating the Excitation Voltage
The voltage drop across the PRT is equal to V
X
multiplied by the ratio of R
S
to the
total resistance, and is greatest when R
S
is greatest (R
S
= 115.54 Ω at 40 °C).
To
find the maximum excitation voltage that can be used on the ± mV input range,
assume V
2
is equal to
mV and use Ohm's Law to solve for the resulting current, I.
I =
mV/R
S
=
mV/115. 54 ohms =
mA
Next solve for V
X
:
V
X
= I*(R
1
+ R
S
+ R
f
) =
V
If the actual resistances were the nominal values, the CR6 would not over range
with V
X
=
V.
However, to allow for the tolerance in actual resistors, set V
X
equal
to
V (e.g., if the 10 kΩ res
istor is 5% low, i.e., R
S
/(R
1
+R
S
+R
f
)=115.54 / 9715.54,
and V
X
must be
V to keep V
S
less than
mV).
Calculating the BrHalf4W() Multiplier
The result of
BrHalf4W()
is equivalent to R
S
/R
f
.
X = R
S
/R
f
PRTCalc()
computes the temperature (°C) for a DIN 43760 standard PRT from
the ratio of the PRT resistance to its resistance at 0 °C (R
S
/R
0
).
Thus, a multiplier
of R
f
/R
0
is used in
BrHalf4W()
to obtain the desired intermediate, R
S
/R
0
(=R
S
/R
f
R
f
/R
0
).
If R
S
and R
0
were each exactly 100 Ω, the multiplier would be 1.
However, neither resistance is likely to be exact.
The correct multiplier is found
by connecting the PRT to the CR6 and entering
BrHalf4W()
with a multiplier of
1.
The PRT is then placed in an ice bath (0 °C), and the result of the bridge
measurement is read.
The reading is R
S
/R
f
, which is equal to R
0
/R
f
since R
S
=R
0
at
0 °C.
The correct value of the multiplier, R
f
/R
0
, is the reciprocal of this reading.
The initial reading assumed for this example was 0.9890.
The correct multiplier
240