12 100 ohm prt in 3 wire half bridge – Campbell Scientific CR7 Measurement and Control System User Manual

Page 76

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SECTION 7. MEASUREMENT PROGRAMMING EXAMPLES

7-8

a multiplier of 1. The PRT is then placed in an
ice bath (0 oC; Rs=R0), and the result of the

bridge measurement is read using the *6 Mode.
The reading is Rs/Rf, which is equal to R0/Rf

since Rs = R0, 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 is:
Rf/R0 = 1/0.9890 = 1.0111.

The fixed 100 ohm resistor must be thermally
stable. Its precision is not important because
the exact resistance is incorporated, along with
that of the PRT, into the calibrated multiplier.
The 10 ppm/oC temperature coefficient of the
fixed resistor will limit the error due to its change
in resistance with temperature to less than 0.15

oC over the specified temperature range.
Because the measurement is ratiometric
(Rs/Rf), the properties of the 10 kohm resistor

do not affect the result.

PROGRAM

01:

P9

Full BR w/Compensation

01:

1

Rep

02:

4

50 mV slow EX Range

03:

4

50 mV slow BR Range

04:

1

IN Card

05:

1

IN Chan

06:

1

EX Card

07:

1

EX Chan

08:

1

Meas/EX

09: 4200

mV Excitation

10:

1

Loc [:Rs/Ro ]

11:

1.0111

Mult

12:

0

Offset

02:

P16

Temperature RTD

01:

1

Rep

02:

1

R/Ro Loc Rs/Ro

03:

2

Loc [:TEMP degC]

04:

1

Mult

05:

0

Offset

7.12 100 OHM PRT IN 3 WIRE HALF

BRIDGE

The temperature measurement requirements in
this example are the same as in section 7.11.
In this case a three wire half bridge, Instruction
7, is used to measure the resistance of the
PRT. The diagram of the PRT circuit is shown
in Figure 7.12-1.

Figure 7.12-1. 3 Wire Half-Bridge Used to

Measure 100 ohm PRT

As in the example in section 7.11, the excitation
voltage is calculated to be the maximum
possible yet allow the ±50 mV measurement
range. The 10 kohm resistor has a tolerance of
±1%, thus, the lowest resistance to expect from
it is 9.9 kohms. We calculate the maximum
excitation voltage (Vx) to keep the voltage drop

across the PRT less than 50 mV:

0.050V > Vx 115.54/(9900+115.54); Vx < 4.33V

The excitation voltage used is 4.3V.

The multiplier used in Instruction 7 is
determined in the same manner as in section
7.11. In this example the multiplier (Rf/R0) is

assumed to be 100.93.

The 3 wire half bridge compensates for lead
wire resistance by assuming that the resistance
of wire A is the same as the resistance of wire
B. The maximum difference expected in wire
resistance is 2%, but is more likely to be on the
order of 1%. The resistance of Rs calculated

with Instruction 7, is actually Rs plus the

difference in resistance of wires A and B. The
average resistance of 22 AWG wire is 16.5
ohms per 1000 feet, which would give each 500
foot lead wire a nominal resistance of 8.3 ohms.
Two percent of 8.3 ohms is 0.17 ohms.
Assuming that the greater resistance is in wire
B, the resistance measured for the PRT (R0 =

100 ohms) in the ice bath would be 100.17
ohms, and the resistance at 40 oC would be
115.71. The measured ratio Rs/R0 is 1.1551,

the actual ratio is 115.54/100 = 1.1554. The
temperature computed by Instruction 17 from
the measured ratio would be about 0.1 oC lower
than the actual temperature of the PRT. This
source of error does not exist in the example in
section 7.11, where the 4 wire half bridge is
used to measure PRT resistance.

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