Mobilis 2008 - A4 : High Pressure Direct Injection of Natural Gas
Metering High Pressure Natural Gas- from the National...
Transcript of Metering High Pressure Natural Gas- from the National...
Metrology Club Tokyo, Japan14. March 2014
Metering High Pressure Natural Gas-from the National Standard to CFVNs
E. von Lavante, University of Duisburg-Essen
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Natural gas as
source of clean energy
But: how much and at what cost?
Metering natural gas: history
1800‘s - W. Murdock, gas utilization
1815 - S. Clegg, 1st dry gas meter
1848 - S. Elster, patent and production
1878 - E. Haas, 1st usefull domestic meter
1936 - Elster Co., 1st turbine flow meter
Introduction
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Legal metrology is all about standards and accreditation:
In Germany, accredited test lab according to DIN EN ISO 17025
pigsar
pigsar is national and international standard for high pressure natural
gas with direct traceability to fundamental SI units
May 1999 pigsar and PTB (NMI) jointly hold national standard
June 1999 harmonization with Netherlands NMI VSL
May 2004 further harmonization with French LNE LADG
Sept. 2013 finally, harmonization with Danish FORCE techn.
Eurega
(european reference high pressure gas volume)
National Standard
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Eurega
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pigsar
Operated by PTB (Physikalisch-technische Bundesanstalt) and
Vier Gas Services (previously e.on previously ruhr-gas)
Integrated in pipeline carying HP NG (~ up to 70 bar)
Primary standard: piston prover, geometric uncertainty 0.007%
traced directly to SI meter
installed mass flow uncertainty U = 0.02
%
Second. standard: turbine flow meter (TFM), 1st stage, U = 0.05 %
Master meter: TFM, up to 8 parallel test lines, U = 0.13 % inst.
(4 x G 1000, 4 x G 250) plus 1 x G 100
or
1 x Instromet DUO RPM (low pulsation)
Transfer standard: TFM U = 0.16 %
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pigsar
Summary of installation:(U installed showing older data, now 0.13 %)
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pigsar
Traceability chain at pigsar
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pigsar
Uncertainties for stages1 - 4a
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pigsar
Realization
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pigsar
Realization – piston prover
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pigsar
Realization – test lines
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pigsar
Realization – critical flow Venturi nozzles( U = 0.07 % air, bell prover PTB;
installed HP NG, C ⃰, Mmol , U = 0.12 % )
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NMIs
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Sonic Nozzles Sonic Nozzles
Aamth
RTcc
av
p
0
*R0
thRT
CAPm
M
zRT
PM
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Z-factor
Equation of state - ideal gas, up to approx. 7 bar
Equation of state – real gas, from 7 bar up to approx. 7 Mpa for NG = mixture of real
gases
Determination of the Z-factor: AGA8 DC92 extended by Jaeschke and Schley, up to 30 Mpa and 200 – 1000 K, with 0.1 % accuracy
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Z-factor
Derivatian using virial coefficients: from free energy f
In above equation, δ is reduced density and τ reduced temperature
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Z-factor
In above equations, K is scale parameter, Kij binary interaction parameter,B the 2nd virial coefficient, Gi and Gj
orientationparameter, Eij binary energy
parameter, Qi quadrupoleparameter and Fi temperature
parameter
Above equations have to be solved by iterative procedure for p, T, and ρ
What is it good for? For example, implementation in NS-code for CFVN
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ACHIEVE
Implementation in CFD code ACHIEVE for ISO 9300 CFVN
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ACHIEVE
Resulting mass flow as compared to experiment
Eq. of State Num. Method Deviation [ % ]
perfect Navier-Stokes -2.40
ideal Navier-Stokes -2.17
real Navier-Stokes 0.61
Eq. of State Num. Method Deviation [ % ]
perfect Navier-Stokes -3.85
perfect Euler -3.72
ideal Navier-Stokes -3.64
ideal Euler -3.47
real Navier-Stokes 0.19
real Euler 0.54
Pressure 26 bar
Pressure 36 bar
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Z-factor
Resulting flow variables along the axis
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Z-factor
Resulting flow variables at the throat
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Conclusions
Calibration – why?
legal necessity
reference to fundamental units (kg, m, sec.)
liability issues
National standard for LP air of limited value
Need national standard for HP NG with traceability to
[m] and [sec.] if volumetric flow (pipe, piston, bell
prover, optical rig)
[kg] and [sec.] if mass flow (CFVN)
Can a CMC submitted to CCM by accredited lab have lower
uncertainty than a NMI?