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8 100 ohm prt in 4 wire full bridge – Campbell Scientific CR510 Basic Datalogger User Manual

Page 85

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SECTION 7. MEASUREMENT PROGRAMMING EXAMPLES

7-7

E1

CR510

H1

L1

AG

FIGURE 7.8-1. Full Bridge Schematic for 100 ohm PRT

PROGRAM

01:

3W Half Bridge (P7)
1:

1

Reps

2:

23

±

25 mV 60 Hz Rejection

Range

3:

1

SE Channel

4:

1

Excite all reps w/Exchan 1

5: 2100

mV Excitation

6:

1

Loc [ Rs_Ro ]

7: 100.93

Mult

8:

0

Offset

02:

Temperature RTD (P16)
1:

1

Reps

2:

1

R/Ro Loc [ Rs_Ro ]

3:

2

Loc [ Temp_C ]

4:

1

Mult

5:

0

Offset

7.8 100 OHM PRT IN 4 WIRE FULL

BRIDGE

This example describes obtaining the
temperature from a 100 ohm PRT in a 4 wire
full bridge (Instruction 6). The temperature
being measured is in a constant temperature
bath and is to be used as the input for a control
algorithm. The PRT in this case does not
adhere to the DIN standard (alpha = 0.00385)
used in the temperature calculating Instruction
16. Alpha is defined as ((R

100

/R

0

)-1)/100,

where R

100

and R

0

are the resistances of the

PRT at 100

°

C and 0

°

C, respectively. In this

PRT alpha is equal to 0.00392.

The result given by Instruction 6 (X) is 1000
V

s

/V

x

(where V

s

is the measured bridge output

voltage, and V

x

is the excitation voltage) which

is:

X = 1000 (R

s

/(R

s

+R

1

)-R

3

/(R

2

+R

3

))

The resistance of the PRT (R

s

) is calculated

with the Bridge Transform Instruction 59:

R

s

= R

1

X'/(1-X')

Where

X' = X/1000 + R

3

/(R

2

+R

3

)

Thus, to obtain the value R

s

/R

0

, (R

0

= R

s

@

0

°

C) for the temperature calculating Instruction

16, the multiplier and offset used in Instruction 6
are 0.001 and R

3

/(R

2

+R

3

), respectively. The

multiplier used in Instruction 59 to obtain R

s

/R

0

is R

1

/R

0

(5000/100 = 50).

It is desired to control the temperature bath at
50

°

C with as little variation as possible. High

resolution is needed so that the control
algorithm will be able to respond to minute
changes in temperature. The highest resolution
is obtained when the temperature range results
in an output voltage (V

s

) range which fills the

measurement range selected in Instruction 6.
The full bridge configuration allows the bridge to
be balanced (V

s

= 0V) at or near the control

temperature. Thus, the output voltage can go
both positive and negative as the bath
temperature changes, allowing the full use of
the measurement range.

The resistance of the PRT is approximately
119.7 ohms at 50

°

C. The 120 ohm fixed

resistor balances the bridge at approximately
51

°

C. The output voltage is:

V

s

= V

x

[R

s

/(R

s

+R

1

) - R

3

/(R

2

+R

3

)]

= Vx [R

s

/(R

s

+5000) - 0.023438]

The temperature range to be covered is

±

50

±

10

°

C. At 40

°

C R

s

is approximately 115.8

ohms, or:

V

s

= -8.0224x10

-4

V

x