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306 Metrology - calibration equation parameters
Upgrading a Mark II to a Mark III Reference, Installation, and Operations Manual
June 2013 3-9000-743 Rev S
Equation C-6 Conversion of the Mark II “A” Polynomial Coefficients
Substituting Equation C-6 into Equation C-4 results in the following equation:
Equation C-7 Mark III Application of Converted Mark II “A” Polynomial Coefficients
Inspection of Equation C-2 and Equation C-7 illustrates that the Mark II “A” polynomial
coefficient conversion to Mark III “A” polynomial coefficients does indeed yield the same result
as the Mark II.
Converting Mark II “BG” and Velocity Offset, Meter Factor
The Mark II British Gas Factor (BG) and Velocity Offset, Meter Factor are converted to equivalent
Mark III dry-calibration “A” polynomial coefficients as shown in Equation C-8 below. The
equations are the same for calculating both the forward and reverse Mark III dry-calibration
“A” polynomial coefficients.
Equation C-8 Conversion of the Mark II “A” Polynomial Coefficients
Substituting Equation C-8 into Equation C-4 results in the following equation:
Equation C-9 Mark III Application of Converted Mark II (Velocity Offset, Meter Factor)
Inspection of Equation C-3 and Equation C-9 illustrates that the Mark II (Velocity Offset,
Meter Factor) conversion to Mark III “A” polynomial coefficients does indeed yield the same
result as the Mark II.
A
0 MarkIII()
A
0 MarkII()
=
A
1 MarkIII()
A
1 MarkII()
BG⋅=
A
2 MarkIII()
A
2 MarkII()
BG
2
⋅=
A
3 MarkIII()
A
3 MarkIII()
BG
3
⋅=
v
DryCal
A
0 MarkII()
A
1 MarkII()
BG⋅()v
AvgWtd
⋅[]
A
2 MarkII()
BG
2
⋅()v
AvgWtd
2
⋅[]A
3 MarkII()
BG
3
⋅()v
AvgWtd
3
⋅[]
++
+
=
A
0 MarkIII()
VelocityOffset MeterFactor⋅()–=
A
1 MarkIII()
MeterFactor BG⋅=
A
2 MarkIII()
0=
A
3 MarkIII()
0=
v
DryCal
VelocityOffset MeterFactor⋅()– MeterFactor BG⋅()v
AvgWtd
⋅[]+=
VelocityOffset MeterFactor⋅()– v
AvgWtd
BG MeterFactor⋅⋅()+=
v
AvgWtd
BG⋅()VelocityOffset–()MeterFactor⋅=