Robust Data Reconciliation in Supercritical Carbon Dioxide Thermal Systems: From Framework Design to Performance Evaluation
Source abstract
Abstract
A number of studies have been carried out to analyze the theoretical performance of super critical carbon dioxide (S-CO2) systems, but monitoring its actual performance when gross errors appear in measurements can be quite challenging. This paper proposes a robust data reconciliation framework to cope with the gross errors happening in S-CO2 systems. A schematic S-CO2 recompression cycle was constructed with different types of measurement sensors, and various estimators with tuned parameters were evaluated to compare their performance. A hybrid strategy with two optimization solvers was designed to ensure the convergence of the solution. Results demonstrated the effectiveness of the proposed robust data reconciliation framework, where the mean relative error (MRE) of all measurements can be reduced from 1.02% to 0.39%, and the MRE of the gross errors can even be reduced from 4.79% down to only 1.11%. Statistics indicated that the Welsch estimator offered the best overall performance, while the Cauchy estimator proved to be more stable. The methods and conclusions provided in this paper can inspire subsequent research on data processing and the operation optimization of real S-CO2 systems.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Phase Equilibria and Thermodynamics · Advanced Control Systems Optimization · Fault Detection and Control Systems
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China
Funding
Major Project of Shaanxi Province Key Research Project
References (39)
Show source-provided references
1. Forced Convection Heat Transfer to Fluid near Critical Point Flowing in Circular Tube10.1016/0017-9310(71)90104-9 ↗
2. Experimental Setup to Measure Critical Properties of Pure and Binary Mixtures and Their Densities at Different Pressures and Temperatures: Determination of the Precision and Uncertainty in the Results10.1016/j.supflu.2007.11.003 ↗
3. Dostal, V., Driscoll, M.J., Hejzlar, P., and Todreas, N.E. (2002, January 14–18). A Supercritical CO2 Gas Turbine Power Cycle for Next-Generation Nuclear Reactors. Proceedings of the 10th International Conference on Nuclear Engineering, Arlington, VA, USA.10.1115/ICONE10-22192 ↗
4. Performance Comparison of Different Supercritical Carbon Dioxide Brayton Cycles Integrated with a Solar Power Tower10.1016/j.energy.2014.12.070 ↗
5. Comparative Investigation on the Supercritical Carbon Dioxide Power Cycle for Waste Heat Recovery of Gas Turbine10.1016/j.enconman.2020.113670 ↗
6. Design and Performance Evaluation of an Energy Storage System Using CO2-Based Binary Mixtures for Thermal Power Plant under Dry Conditions10.1016/j.enconman.2022.116043 ↗
7. Analysis for Flexible Operation of Supercritical CO2 Brayton Cycle Integrated with Solar Thermal Systems10.1016/j.energy.2017.02.040 ↗
8. On the Supercritical Carbon Dioxide Recompression Cycle10.1115/1.4050888 ↗
9. Optimization of Supercritical Carbon Dioxide Recompression Brayton Cycle Considering Anti-Condensation Design of Centrifugal Compressor10.1016/j.enconman.2022.115207 ↗
10. Comparative Study of the Supercritical Carbon-Dioxide Recompression Brayton Cycle with Different Control Strategies10.1016/j.pnucene.2021.103770 ↗
11. Optimal Design of a Supercritical Carbon Dioxide Recompression Cycle Using Deep Neural Network and Data Mining Techniques10.1016/j.energy.2023.127038 ↗
12. Kulhanek, M., and Dostal, V. (2011, January 24–25). Supercritical Carbon Dioxide Cycles Thermodynamic Analysis and Comparison. Proceedings of the 2011 Supercritical CO2 Power Cycle Symposium, Boulder, CO, USA.
13. Computer Control. II. Mathematics of Control
14. José, A.R., and Mabel, C.S. (2000). Data Processing and Reconciliation for Chemical Process Operations, Academic Press.
15. A Recursive Node Imbalance Method Incorporating a Model of Flowrate Dynamics for On-Line Material Balance of Complex Flowsheets10.1016/0892-6875(95)00037-Q ↗
16. Heat Exchanger Network Simulation, Data Reconciliation & Optimization10.1016/j.applthermaleng.2012.11.033 ↗
17. Langenstein, M. (2006, January 17–20). Power Recapture and Power Uprate in NPPs with Process Data Reconciliation in Accordance with VDI 2048. Proceedings of the 14th International Conference on Nuclear Engineering, Miami, FL, USA.10.1115/ICONE14-89025 ↗
18. (2017). VDI-Gesellschaft Energie und Umwelt (GEU) VDI-2048: Control and Quality Improvement of Process Data and Their Uncertainties by Means of Correction Calculation for Operation and Acceptance Tests (Standard No. VDI-2048).
19. Data Reconciliation of the Thermal System of a Double Reheat Power Plant for Thermal Calculation10.1016/j.rser.2021.111283 ↗
20. Data Reconciliation and Exergy Analysis: Application in a Compressed Carbon Dioxide Energy Storage System Simulation Test Rig10.1016/j.energy.2025.134519 ↗
21. Exploration on the Comprehensive Data Reconciliation Framework for Unknown Parameter Inference in the Nuclear Power Plant System10.1016/j.applthermaleng.2024.123138 ↗
22. Collection of Benchmark Test Problems for Data Reconciliation and Gross Error Detection and Identification10.1016/j.compchemeng.2018.01.002 ↗
23. Simultaneous Strategies for Data Reconciliation and Gross Error Detection of Nonlinear Systems10.1016/0098-1354(91)85014-L ↗
24. Maximum Likelihood Data Rectification: Steady-State Systems10.1002/aic.690411108 ↗
25. Comparative Analysis of Robust Estimators on Nonlinear Dynamic Data Reconciliation10.1016/S1570-7946(08)80088-0 ↗
26. Techniques for Nonlinear Least Squares and Robust Regression10.1080/03610917808812083 ↗
27. A Novel Robust Data Reconciliation Method for Industrial Processes10.1016/j.conengprac.2018.11.006 ↗
28. A Robust Data Reconciliation Method for Fast Metal Balance in Copper Industry10.1016/j.conengprac.2020.104648 ↗
29. Simultaneous Model Selection, Robust Data Reconciliation and Outlier Detection with Swarm Intelligence in a Thermal Reactor Power Calculation10.1016/j.anucene.2011.06.001 ↗
30. Zhang, Y., Yue, K., Yuan, C., and Xiang, J. (2025). A Data Reconciliation-Based Method for Performance Estimation of Entrained-Flow Pulverized Coal Gasification. Energies, 18.10.3390/en18051079 ↗
31. Data Reconciliation and Gross-Error Detection for Dynamic Systems10.1002/aic.690421014 ↗
32. Theory and Practice of Simultaneous Data Reconciliation and Gross Error Detection for Chemical Processes10.1016/j.compchemeng.2003.07.001 ↗
33. Karmarkar, N. (1984). A New Polynomial-Time Algorithm for Linear Programming. Proceedings of the Sixteenth Annual ACM Symposium on Theory of Computing, Association for Computing Machinery.10.1145/800057.808695 ↗
34. Pure and Pseudo-Pure Fluid Thermophysical Property Evaluation and the Open-Source Thermophysical Property Library CoolProp10.1021/ie4033999 ↗
35. Uncertainty Analysis of Energy Measurements in Natural Gas Transmission Networks10.1016/j.flowmeasinst.2015.01.006 ↗
36. Uncertainty of Temperature Measured by Thermocouple10.37934/arfmts.68.1.5462 ↗
37. Toward Standardized Measurement of CO2 Transfer in the CCS Chain10.1016/j.ynexs.2024.100013 ↗
38. Uncertainty Analysis for Different Virtual Pump Water Flow Meters10.1080/23744731.2018.1526015 ↗
39. MATLAB®: A Language for Parallel Computing10.1007/s10766-008-0082-5 ↗