Uncertainty assessment of equations of state with application to an organic Rankine cycle

Jerome Frutiger, Ian Bell, John P. O’Connell, Kenneth Kroenlein, Jens Abildskov, Gürkan Sin

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Evaluations of equations of state (EoS) should include uncertainty. This study presents a genericmethod to analyse EoS from a detailed uncertainty analysis of the mathematical form and the dataused to obtain EoS parameter values. The method is illustrated by comparison of Soave–Redlich–Kwong (SRK) cubic EoS with perturbed-chain statistical associating fluid theory (PC-SAFT) EoS for anorganic Rankine cycle (ORC) for heat recovery to power fromthe exhaust gas of a marine diesel engineusing cyclopentane as working fluid. Uncertainties of the EoS input parameters including their correspondingcorrelation structure, are quantified from experimental measurements using a bootstrapmethod. Variance-based sensitivity analysis is used to compare the uncertainties from the departurefunction and the ideal-gas contribution. A Monte Carlo procedure propagates fluid parameter inputuncertainty onto the model outputs. Uncertainties in the departure function (SRK or PC-SAFT EoS)dominate the total uncertainties of the ORC model output. For this application and working fluid,SRK EoS has less predictive uncertainty in the process model output than does PC-SAFT EoS, thoughit cannot be determined if this is due to differences in the data for parameter estimation or in themathematical form of the EoS or both.
Original languageEnglish
JournalMolecular Physics
Issue number9-12
Pages (from-to)1235-1244
Publication statusPublished - 2017


  • Uncertainty analysis
  • Parameter correlation
  • Cubic EoS
  • Organic Rankine cycle

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