DOI QR코드

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A methodology to quantify effects of constitutive equations on safety analysis using integral effect test data

  • ChoHwan Oh (Department of Nuclear and Quantum Engineering, Korea Advanced Institute of Science and Technology) ;
  • Jeong Ik Lee (Department of Nuclear and Quantum Engineering, Korea Advanced Institute of Science and Technology)
  • 투고 : 2023.07.06
  • 심사 : 2024.03.03
  • 발행 : 2024.08.25

초록

To improve the predictive capability of a nuclear thermal hydraulic safety analysis code by developing a better constitutive equation for individual phenomenon has been the general research direction until now. This paper proposes a new method to directly use complex experimental data obtained from integral effect test (IET) to improve constitutive models holistically and simultaneously. The method relies on the sensitivity of a simulation result of IET data to the multiple constitutive equations utilized during the simulation, and the sensitivity of individual model determines the direction of modification for the constitutive model. To develop a robust and generalized method, a clustering algorithm using an artificial neural network, sample space size determination using non-parametric statistics, and sampling method of Latin hypercube sampling are used in a combined manner. The value of the proposed methodology is demonstrated by applying the method to the ATLAS DSP-05 IET experiment. A sensitivity of each observation parameter to the constitutive models is analyzed. The new methodology suggested in the study can be used to improve the code prediction results of complex IET data by identifying the direction for constitutive equations to be modified.

키워드

과제정보

This work was supported by the Nuclear Safety Research Program through the Korea Foundation Of Nuclear Safety (KoFONS) using the financial resource granted by the Nuclear Safety and Security Commission (NSSC) of the Republic of Korea. (No. 00244146). This paper reconstructs the first author's Ph.D. thesis.

참고문헌

  1. KAERI, MARS CODE MANUAL Vol, 1 Code Structure, System Models, and Solution Methods, 2009. 
  2. KAERI, MARS CODE MANUAL Vol, 5 Models and Correlations, 2009. 
  3. J.C. Chen, Correlation for boiling heat transfer to saturated fluids in convection flow, Ind. Eng. Chem. Process Des. Dev. 5 (No. 3) (1966) 322-329. 
  4. Y.G. Lee, S.G. Lim, Implementation of a new empirical model of steam condensation for the passive containment cooling system into MARS-KS code: application to containment transient analysis, Nucl. Eng. Technol. 53 (Issue 10) (2021) 3196-3206. 
  5. J.Y. Lee, et al., Improvement of the condensation heat transfer model of the MARS-KS1.3 code using a modified diffusion layer model, Prog. Nucl. Energy 108 (2018) 260-269. 
  6. C.J. Choi, et al., Effect of wall friction model on predicting emergency core coolant behavior in upper downcomer with direct vessel safety injection using MARS-KS, Ann. Nucl. Energy 116 (2018) 395-406. 
  7. Y.J. Cho, et al., Assessment of condensation heat transfer model to evaluate performance of the passive auxiliary feedwater system, Nucl. Eng. Technol. 45 (6) (2013) 759-766. 
  8. S.S. Jeon, et al., Assessment of horizontal in-tube condensation models using MARS code. Part II: annular flow condensation, Nucl. Eng. Des. 262 (2013) 510-524. 
  9. Kimber George, et al., International Standard Problem No. 38, BETHSY Test 6,9c: Loss of Residual Heat Removal System during Mid-loop Operation, Final Comparison Report, NEA/CSNI/R(97)38, Vols. I and II, June, 1998. 
  10. J. Malet, et al., OECD international standard problem ISP-47 on containment thermal-hydraulics-conclusions of the TOSQAN part, Nucl. Eng. Des. 240 (Issue 10) (2010) 3209-3220. 
  11. K.Y. Choi, et al., A summary of 50th OECD/NEA/CSNI international standard problem exercise (ISP-50), Nucl. Eng. Technol. 44 (6) (2012) 561-586. 
  12. Y.S. Kim, et al., First ATLAS domestic standard problem (DSP-01) for the code assessment, Nucl. Eng. Technol. 43 (Issue 1) (2011) 25-44. 
  13. Y.S. Kim, et al., Second ATLAS domestic standard problem (DSP-02) for a code assessment, Nucl. Eng. Technol. 45 (7) (2013) 871-894. 
  14. K.H. Kang, et al., Code assessment of ATLAS integral effect test simulating main steam-line break accident of an advanced pressurized water reactor, J. Nucl. Sci. Technol. 55 (Issue 1) (2018) 104-112. 
  15. J. Kim, et al., Comparison of blind and open calculation results for top-slot break LOCA in fourth ATLAS domestic standard problem, Energies 15 (No. 9) (2022) 3189. 
  16. Y.S. Park, et al., Open calculation result of DSP-05 activity utilizing ATLAS test facility with multiple steam generator tube rupture under PAFS operation scenario, in: Transactions of the Korean Nuclear Society Virtual Spring Meeting, July 9-10, 2020. 
  17. ChoHwan Oh, et al., Application of data driven modeling and sensitivity analysis of constitutive equations for improving nuclear power plant safety analysis code, Nucl. Eng. Technol. 55 (Issue 1) (2023) 131-143. 
  18. J. Vesanto, E. Alhoniemi, Clustering of the self-organizing map, IEEE Trans. Neural Network. 11 (No. 3) (2000) 586-600. 
  19. P.J. Rousseeuw, Silhouettes, A graphical aid to the interpretation and validation of cluster analysis, J. Comput. Appl. Math. 20 (1987) 53-65. 
  20. J.C. Dunn, A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters, J. Cybern. 3 (3) (1973) 32-57. 
  21. N.W. Porter, Wilks' formula applied to computational tools: a practical discussion and verification, Ann. Nucl. Energy 133 (2019) 129-137. 
  22. M.D. McKay, et al., A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics 21 (No. 2) (1979) 239-245. 
  23. Jae Bong Lee, et al., Description Report of ATLAS Facility and Instrumentation (Second Revision), Korea Atomic Energy Research Institute, 2018. KAERI/TR-7218/2018. 
  24. Insik Kim, Dong-Su Kim, APR1400: evolutionary Korean next generation reactor, in: 10th International Conference on Nuclear Engineering, ICONE10-22441, 2009, pp. 845-851. 
  25. Yusun Park, et al., Experimental Study on the Multiple Steam Generator Tube Rupture with Passive Auxiliary Feedwater System Operation, KAERI/TR-8010/2020, Korea Atomic Energy Research Institute, 2020. 
  26. Kyoung-Ho Kang, et al., Description Report of ATLAS-PAFS Facility and Instrumentation, KAERI/TR-5545/2014, Korea Atomic Energy Research Institute, 2014. 
  27. E. Keogh, C.A. Ratanamahatana, Exact indexing of dynamic time warping, Knowl. Inf. Syst. 7 (Issue 3) (2005) 358-386. 
  28. Benesty, et al., Pearson Correlation Coefficient, Noise Reduction in Speech Processing, Springer, Berlin, Heidelberg, 2009, pp. 1-4. 
  29. C.H. Oh, J.I. Lee, Real Time Nuclear Power Plant Operating State Cognitive Algorithm Development Using Dynamic Bayesian Network, vol. 198, Reliability Engineering & System Safety, 2020 106879.