Endress+Hauser Proline Promass 83 - Page 76

Commissioning Proline Promass 83 PROFIBUS DP/PA
76 Endress+Hauser
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%). B1, B2
and B3 need to be entered into the matrix positions 7037, 7038 and 7039 in scientific notation as
10
−3
, 10
−6
or 10
−9
.
Assume:
Density (ρ): 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:
F06-83x-002
= -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 + B3 T ⋅ ρ ⋅ ρ ⋅ ρ ⋅ ρ
4
.. .
22
T
33