Endress+Hauser HART Proline Promass 83, Operating Instructions Manual

Page: 75 / 148

Proline Promass 83 Commissioning
Hauser 75
Example:
The following is a concentration table from a reference source.
!
Note!
The coefficients for the Promass 83 concentration algorithm should be determined with the
density in units of kg/liter, temperature in °C and concentration in decimal form (0.50, not
50%). The coefficients B1, B2 and B3 must be entered in scientific notation into the matrix
positions 7037, 7038 and 7039 as a product with 10
-3
, 10
-6
or 10
-9
Assume:
Density (r): 870 kg/m
3
→
0.870 kg/l
Temperature (T): 20°C
Coefficients determined for table above:
A0 = -2.6057
A1 = 11.642
A2 = -8.8571
A3 = 0
A4 = 0
B1 = -2.7747·10-3
B2 = -7.3469·10-6
B3 = 0
Calculation:
a0004620
= -2.6057 + 11.642 · 0.870 + (-8.8571) · 0.870
2
+ 0 · 0.870
3
+ 0 · 0.870
4
+ (-2.7747)·10
-3
· 20
+ (-7.3469)·10
-6
· 20
2
+ 0 · 20
3
= 0.7604
= 76.04%
Temperature 10°C 15°C 20°C 25°C 30°C
Density
825 kg/m
3
93.6% 92.5% 91.2% 90.0% 88.7%
840 kg/m
3
89.3% 88.0% 86.6% 85.2% 83.8%
855 kg/m
3
84.4% 83.0% 81.5% 80.0% 78.5%
870 kg/m
3
79.1% 77.6% 76.1% 74.5% 72.9%
885 kg/m
3
73.4% 71.8% 70.2% 68.6% 66.9%
900 kg/m
3
67.3% 65.7% 64.0% 62.3% 60.5%
915 kg/m
3
60.8% 59.1% 57.3% 55.5% 53.7%
K = A0 + A1 · + A2 · +A3 · + A4 · +B1 · T + B2 · T + B3 · T
r r
2 3 4 2 3
r r