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Weighted Latin Hypercube Sampling to Estimate Clearance-to-stop for Probabilistic Design of Seismically Isolated Structures in Nuclear Power Plants

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초록

This paper proposes extension of Latin Hypercube Sampling (LHS) to avoid the necessity of using intervals with the same probability area where intervals with different probability areas are used. This method is called Weighted Latin Hypercube Sampling (WLHS). This paper describes equations and detail procedure necessary to apply weight function to WLHS. WLHS is verified through numerical examples by comparing the estimated distribution parameters with those from other methods such as Random Sampling and Latin Hypercube Sampling. WLHS provides more flexible way on selecting samples than LHS. Accuracy of WLHS estimation on distribution parameters is depending on the selection of weight function. The proposed WLHS is applied to seismically isolated structures in nuclear power plants. In this application, clearance-to-stops (CSs) calculated using LHS proposed by Huang et al. [1] and WLHS proposed in this paper, respectively, are compared to investigate the effect of choosing different sampling techniques.

Abstract

This paper proposes extension of Latin Hypercube Sampling (LHS) to avoid the necessity of using intervals with the same probability area where intervals with different probability areas are used. This method is called Weighted Latin Hypercube Sampling (WLHS). This paper describes equations and detail procedure necessary to apply weight function to WLHS. WLHS is verified through numerical examples by comparing the estimated distribution parameters with those from other methods such as Random Sampling and Latin Hypercube Sampling. WLHS provides more flexible way on selecting samples than LHS. Accuracy of WLHS estimation on distribution parameters is depending on the selection of weight function. The proposed WLHS is applied to seismically isolated structures in nuclear power plants. In this application, clearance-to-stops (CSs) calculated using LHS proposed by Huang et al. [1] and WLHS proposed in this paper, respectively, are compared to investigate the effect of choosing different sampling techniques.

참고문헌 (13)

  1. Nuclear Standards Committee, "Seismic Design Criteria for Structures, Systems, and Components in Nuclear Facilities", American Society of Civil Engineers, ~ (2005)
  2. Assessment of base-isolated nuclear structures for design and beyond-design basis earthquake shaking, "Huang YN", Buffalo Univ., ~, pp.MCEER-09-0008 (2009)
  3. Hammersley JM, "Monte carlo methods" (1964), Methuen
  4. Rubinstein RY, "Simulation and the monte carlo method" (2016), John Wiley & Sons
  5. Siegmund D, "Importance sampling in the Monte Carlo study of sequential tests", The Annals of Statistics, 1, pp.673~684 (1976)
  6. McKay MD, "Comparison of three methods for selecting values of input variables in the analysis of output from a computer code", Technometrics, 21(1), pp.239~245 (1979)
  7. "Weighted arithmetic mean" (2016)[URL]
  8. "Reference Manual: Weighted Samples"[URL]
  9. "Alternative Approaches to Significance Testing with Weighted Means"[URL]
  10. Cooper H, "The handbook of research synthesis and meta-analysis" (2009), Russell Sage Foundation
  11. "Weighting: SPSS Tutorials Page" (2007)[URL]
  12. Seismic analysis of safety-related nuclear structures and commentary, "Nuclear Standards Committee", American Society of Civil Engineers, ~ (2013)
  13. Stone CJ, "A course in probability and statistics" (1996), Duxbury Press

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