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Analysis of Sensitivity, Correlation Coefficient and PCA of Input and Output Parameters using Fire Modeling

화재모델링을 이용한 입출력 변수의 민감도, 상관계수 분석과 주성분 분석

  • Nam, Gi Tae (Department of Fire & Disaster Prevention, Semyung University) ;
  • Kim, Jeong Jin (Department of Fire & Disaster Prevention, Semyung University) ;
  • Yoon, Seok Pyo (Department of Environmental Engineering, Semyung University) ;
  • Kim, Jun Kyoung (Department of Fire & Disaster Prevention, Semyung University)
  • 남기태 (세명대학교 소방방재공학과) ;
  • 김정진 (세명대학교 소방방재공학과) ;
  • 윤석표 (세명대학교 바이오환경공학과) ;
  • 김준경 (세명대학교 소방방재공학과)
  • Received : 2019.07.09
  • Accepted : 2019.08.26
  • Published : 2019.10.31

Abstract

Even though the fire performance-based design concept has been introduced for various structures and buildings, which have their own specific fire performance level, the uncertainties of input parameters always exist and, then, could reduce significantly the reliability of the fire modeling. Sensitivity analysis was performed with three limited input parameters, HRRPUA, type of combustible materials, and mesh size, which are significantly important for fire modeling. The output variables are limited to the maximum HRR, the time reaching the reference temperature($60^{\circ}C$), and that to reach limited visible distance(5 m). In addition, correlation coefficient analysis was attempted to analyze qualitatively and quantitatively the degree of relation between input and output variables above. Finally, the relationship among the three variables is also analyzed by the principal component analysis (PCA) to systematically analyze the input data bias. Sensitivity analysis showed that the type of combustible materials is more sensitive to maximum HRR than the ignition source and mesh size. However, the heat release parameter of the ignition source(HRR) is shown to be much more sensitive than the combustible material types and mesh size to both time to reach the reference temperature and that to reach the critical visible distance. Since the derived results can not exclude the possibility that there is a dependency on the fire model applied in this study, it is necessary to generalize and standardize the results of this study for the fire models such as various buildings and structures.

Keywords

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