Alternative Sampling Approaches for Integrated Safety Analysis: Latin Hypercube Versus Deterministic Sampling

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Frontiers of Performability Engineering

Part of the book series: Risk, Reliability and Safety Engineering ((RRSE))

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Abstract

Integrated safety analysis combines both deterministic and probabilistic safety analysis, which brings several advantages including improved modeling of dynamic interactions and treatment of uncertainties. Dynamic event trees provide a framework to realize integrated safety analysis for nuclear power plants and process plants. Simple random sampling based Monte Carlo simulation is used to propagate epistemic uncertainties in dynamic event trees. This setup requires simulation of accident scenarios for each set of input epistemic parameters. The computational time to perform such calculations can even challenge today’s computational infrastructure, especially for complex accident scenarios. Alternative approaches have been under investigation to overcome the computational issues. This work explores two alternative sampling approaches for dynamic event trees, namely Deterministic Sampling (DS) and Latin Hypercube (LH) sampling approaches. A chemical batch reactor problem solved with simple random sampling approach is used for comparison of the current results. The analysis of results reveals that alternative sampling methods are computationally economical as well as their results are on par with the reference. Further, strengths and weaknesses of the considered alternative sampling approaches are discussed.

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References

  1. Siu N (1994) Risk assessment for dynamic systems: an overview. Reliab Eng Syst Saf 43:43–73

    Article  Google Scholar 

  2. Labeau PE, Smidts C, Swaminathan S (2000) Dynamic reliability: towards an integrated platform for probabilistic risk assessment. Reliab Eng Syst Saf 68:219–254

    Article  Google Scholar 

  3. Hsueh K-S, Mosleh A (1996) The development and application of the accident dynamic simulator for dynamic probabilistic risk assessment of nuclear power plants. Reliab Eng Syst Saf 52:297–314

    Article  Google Scholar 

  4. Kloos M et al (2006) MCDET: a probabilistic dynamics method combining Monte Carlo simulation with the discrete dynamic event tree approach. Nucl Sci Eng 153:137–156

    Article  Google Scholar 

  5. Hakobyan et al (2008) Dynamic generation of accident progression event trees. Nucl Eng Des 238:3457–3467

    Google Scholar 

  6. Catalyurek U et al (2010) Development of a code-agnostic computational infrastructure for the dynamic generation of accident progression event trees. Reliab Eng Syst Saf 95:278–294

    Article  Google Scholar 

  7. Izquierdo JM et al (2009) SCAIS (Simulation Code System for Integrated Safety Assessment): current status and applications. In: Martorell et al (eds) Safety, reliability and risk analysis—ESREL 2008. Taylor & Francis Group, London

    Google Scholar 

  8. Gil J et al (2011) A code for simulation of human failure events in nuclear power plants: SIMPROC. Nucl Eng Des 241:1097–1107

    Article  Google Scholar 

  9. Alfonsi A, Rabiti C, Mandelli D, Cogliati JJ, Kinoshita RA (2013) RAVEN as a tool for dynamic probabilistic risk assessment: software overview. In: International conference on mathematics and computational methods applied to nuclear science & engineering (M&C 2013), Sun Valley, Idaho, USA, May 5–9, 2013, on CD-ROM, American Nuclear Society, LaGrange Park, IL

    Google Scholar 

  10. Karanki DR, Dang VN, MacMillan MT (2014) Uncertainty propagation in dynamic event trees—initial results for a modified tank problem. In: 12th International probabilistic safety assessment and management conference (PSAM 12), Honolulu, Hawaii, USA, CD-ROM

    Google Scholar 

  11. Karanki DR, Rahman S, Dang VN, Zerkak O (2017) Epistemic and aleatory uncertainties in integrated deterministic and probabilistic safety assessment: tradeoff between accuracy and accident simulations. Reliab Eng Syst Saf 162:91–102

    Article  Google Scholar 

  12. Maljovec D, Wang B, Pascucci V, Bremer P-T, Mandelli D (2013) Adaptive sampling algorithms for probabilistic risk assessment of nuclear simulations. In: ANS PSA 2013 international topical meeting on probabilistic safety assessment and analysis, Columbia, SC, on CD-ROM, American Nuclear Society, LaGrange Park (IL)

    Google Scholar 

  13. Mandelli D, Smith C, Rileyc T, Nielsena J, Schroedera J, Rabitia C, Alfonsia A, Cogliatia J, Kinoshitaa R, Pascuccib V, Wangb B, Maljovecb D (2014) Overview of new tools to perform safety analysis: BWR station black out test case. In: Probabilistic safety assessment and management PSAM 12, Honolulu, Hawaii, June 2014

    Google Scholar 

  14. Helton JC, Davis FJ (2003) Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems. Reliab Eng Syst Saf 81:23–69

    Article  Google Scholar 

  15. Osborn DM, Metzroth K, Aldemir T, Gauntt R (2008) Methodology development for seamless level 2/3 PRA using dynamic event trees. Trans Am Nucl Soc vol 99, pp 479–481

    Google Scholar 

  16. Hessling JP (2013) Deterministic Sampling for the quantification of modeling uncertainty of signals. In: Digital filters and signal processing, INTECH, Rijeka, Croatia, pp 53–79.

    Google Scholar 

  17. Julier SJ, Uhlmann JK (1995) A new extension of the Kalman filter to nonlinear systems. In: Proceedings of the Aerosense: 11th international symposium aero-space/defense sensing, simulations and controls, vol 2561, pp 240–251

    Google Scholar 

  18. Hedberg P, Hessling P (2015) Use of deterministic sampling for uncertainty quantification in CFD. In: The proceedings of 16th international topical meeting on nuclear reactor thermal hydraulics (NURETH16), Illinois, USA, August 30–September 4, 2015

    Google Scholar 

  19. Rahman S, Karanki DR, Wicaksono D, Zerkak O, Dang VN (2016) Evaluation of deterministic sampling for uncertainty quantification in a probabilistic accident analysis mode. In: Proceedings of 11th international topical meeting on nuclear thermal hydraulics, operation and safety (NUTHOS-11), Gyeongju, Korea, October 9–13

    Google Scholar 

  20. Rahman S, Karanki DR, Epiney A, Wicaksono D, Zerkak O, Dang VN (2018) Deterministic sampling for propagating epistemic and aleatory uncertainty in dynamic event tree analysis. Reliab Eng Syst Saf 175:62–78

    Article  Google Scholar 

  21. Podofillini L, Dang VN (2012) Conventional and dynamic safety analysis: comparison on a chemical batch reactor. Reliab Eng Syst Saf 106:146–159

    Article  Google Scholar 

  22. Karanki DR, Dang VN, MacMillan MT, Podofillini L (2018) A comparison of dynamic event tree methods—case study on a chemical batch reactor. Reliab Eng Syst Saf 169:542–553

    Article  Google Scholar 

  23. Cott BJ, Macchietto S (1989) Temperature control of exothermic batch reactors using generic model control. Ind Eng Chem Res 28:1177–1184

    Article  Google Scholar 

  24. Aropornwickanop P, Kittisupakon IM (2005) Online dynamic optimization and control strategy for improving the performance of batch reactors. Chem Eng Process 44:101–114

    Article  Google Scholar 

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Karanki, D.R., Rahman, S. (2024). Alternative Sampling Approaches for Integrated Safety Analysis: Latin Hypercube Versus Deterministic Sampling. In: Karanki, D.R. (eds) Frontiers of Performability Engineering. Risk, Reliability and Safety Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-8258-5_17

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  • DOI: https://doi.org/10.1007/978-981-99-8258-5_17

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