KUANTIFIKASI KETIDAKPASTIAN PADA ANALISIS POHON KEGAGALAN DENGAN PENDEKATAN FUZZY

Authors

  • Julwan Hendry Purba Pusat Teknologi dan Keselamatan Reaktor Nuklir, BATAN
  • D.T. Sony Tjahyani Pusat Teknologi dan Keselamatan Reaktor Nuklir, BATAN

Keywords:

Fault tree analysis, uncertainty analysis, fuzzy probabilities, fuzzy combination rules

Abstract

Fault tree analysis has been applied to evaluate nuclear power plant safety systems. To perform this analysis, component reliabilities need to be provided well in advance. Since working environment can affect component reliability, it is necessary to directly collect such data from the safety system being evaluated. Howeverdue to lack of resourcessuch data may be unattainable. Hence, the use of generic data cannot be avoided. Unfortunately, generic data will add uncertainty to the analysis. Monte Carlo simulation has been performed to evaluate such uncertainty. However, this method is not appropriate when components do not have probability distributions of their lifetime to failures. The aim of this study is to propose a new fault tree analysis method which implements fuzzy concepts for quantifying such uncertainty. In the proposed method, fuzzy probabilities represent basic, intermediate as well as top event probabilities and fuzzy combination rules are used to evaluate the overall uncertainty of the fault tree. The proposed method has been performed to evaluate failure probability of the AP1000 accumulator injection system and generate a probability distribution between 8.87E-12 and 8.87E-8 with the point median value of 8.87E-10. This result confirms that the proposed method is feasible to evaluate system fault tree when uncertainty raised by the lack of reliability data is the main focus of the analysis.

 

References

Abouelnaga AE, Metwally A, Aly N, Nagy M, Agamy S. Assessment the safety performance of nuclear power plants using Global Safety Index (GSI). Nucl Eng Des. 2010; 240(10): 2820-30.

https://doi.org/10.1016/j.nucengdes.2010.07.004

Rahim FC, Rahgoshay M, Mousavian SK. A study of large break LOCA in the AP1000 reactor containment. Prog Nucl Energy. 2012; 54(1): 132-7.

https://doi.org/10.1016/j.pnucene.2011.07.004

Wang S, Wahab MIM, Fang L. Managing construction risks of AP1000 nuclear power plants in China. Journal of System Science and System Engineering. 2011; 20(1): 43-69.

https://doi.org/10.1007/s11518-011-5157-y

Zhou S, Zhang X. Nuclear energy development in China: A study of opportunities and challenges. Energy. 2010; 35(11): 4282-8.

https://doi.org/10.1016/j.energy.2009.04.020

Zhou Y, Rengifo C, Chen P, Hinze J. Is China ready for its nuclear expansion? Energy Policy. 2011; 39(2): 771-81.

https://doi.org/10.1016/j.enpol.2010.10.051

Lioce D, Asztalos M, Alemberti A, Barucca L, Frogheri M, Saiu G. AP1000 passive core cooling system pre-operational tests procedure definition and simulation by means of Relap5 Mod. 3.3 computer code. Nucl Eng Des. 2012; 250: 538-47.

https://doi.org/10.1016/j.nucengdes.2012.05.028

Nayak AK, Sinha RK. Role of passive systems in advanced reactors. Prog Nucl Energy. 2007; 49(6): 486-98.

https://doi.org/10.1016/j.pnucene.2007.07.007

Birolini A. Basic Concepts, Quality and Reliability Assurance of Complex Equipment and Systems. Reliability Engineering Theory and Practice. Fifth ed. Berlin Heidelberg: Springer-Verlag; 2007. p. 1-24.

https://doi.org/10.1007/978-3-642-39535-2_1

Booker JM, McNamara LA. Expert Knowledge in Reliability Characterization: A Rigorous Approach to Eliciting, Documenting, and Analyzing Expert Knowledge. In: Nikolaidis E, Ghiocel DM, Singhal S, editors. Engineering Design Reliability Handbook: CRC Press LLC; 2005. p. 255-86.

https://doi.org/10.1201/9780203483930.ch13

Hsu F, Musicki Z. Issues and Insights of PRA Methodology in Nuclear and Space Applications. IEEE International Conference on Systems, Man and Cybernetics. 2005. p. 510-7.

Abdelgawad M, Fayek AR, Martinez F, editors. Quantitative assessment of horizontal directional drilling project risk using fuzzy fault tree analysis Construction Research Congress 2010: Innovation for Reshaping Construction Practice: American Society of Civil Engineers.

https://doi.org/10.1061/41109(373)128

Song H, Zhang HY, Chan CW. Fuzzy Fault Tree Analysis Based on T-S Model With Application to INS/GPS Navigation System. Soft Computing - A Fusion of Foundations, Methodologies and Applications. 2009; 13(1): 31-40.

https://doi.org/10.1007/s00500-008-0290-3

Chin KS, Wang YM, Poon GKK, Yang JB. Failure Mode and Effects Analysis Using a Group-Based Evidential Reasoning Approach. Comput Oper Res. 2009; 36(6): 1768-79.

https://doi.org/10.1016/j.cor.2008.05.002

Flage R, Baraldi P, Zio E, Aven T. Probability and possibility-based representations of uncertainty in fault tree analysis. Risk Anal. 2013; 33(1): 121-33.

https://doi.org/10.1111/j.1539-6924.2012.01873.x

Rao KD, Kushwaha HS, Verma AK, Srividya A. Quantification of epistemic and aleatory uncertainties in level-1 probabilistic safety assessment studies. Reliab Eng Syst Saf. 2007; 92(7): 947-56.

https://doi.org/10.1016/j.ress.2006.07.002

Dubois D, Prade H. Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets. Fuzzy Sets Syst. 2012; 192: 3-24.

https://doi.org/10.1016/j.fss.2010.11.007

Haag T, Herrmann J, Hanss M. Identification procedure for epistemic uncertainties using inverse fuzzyarithmetic. Mech Syst Signal Pr. 2010; 24: 2021-34.

https://doi.org/10.1016/j.ymssp.2010.05.010

Sakalli US, Baykoç OF. An application of investment decision with random fuzzy outcomes. Expert Syst Appl. 2010; 37: 3405-14.

https://doi.org/10.1016/j.eswa.2009.10.007

Chou WC, Cheng YP. A hybrid fuzzy MCDM approach for evaluating website quality of professional accounting firms. Expert Syst Appl. 2012; 39: 2783-93.

https://doi.org/10.1016/j.eswa.2011.08.138

Purba JH, Sony Tjahyani DT. Reliability study of the AP1000 passive safety system by fuzzy approach. Atom Indonesia (under review). 2013.

https://doi.org/10.17146/aij.2014.271

Guimaraes ACF, Lapa CMF, de Lourdes Moreira M. Fuzzy methodology applied to Probabilistic Safety Assessment for digital system in nuclear power plants. Nucl Eng Des. 2011; 241(9): 3967-76.

https://doi.org/10.1016/j.nucengdes.2011.06.044

Guimaraes ACF, Lapa CMF, Filho FFLS, Cabral DC. Fuzzy uncertainty modeling applied to AP1000 nuclear power plant LOCA. Ann Nucl Energy. 2011; 38(8): 1775-86.

https://doi.org/10.1016/j.anucene.2011.02.005

Purba JH, Lu J, Zhang G, Pedrycz W. A fuzzy reliability assessment of basic events of fault trees through qualitative data processing. Fuzzy Sets Syst. (Available online 18 June 2013). 2013.

https://doi.org/10.1016/j.fss.2013.06.009

Purba JH. A fuzzy-based reliability approach to evaluate basic events of fault tree analysis for nuclear power plant probabilistic safety assessment. Ann Nucl Energy (under review). 2013.

https://doi.org/10.1016/j.anucene.2014.02.022

Zadeh LA. Fuzzy Sets. Inform Control. 1965; 8: 338-53.

https://doi.org/10.1016/S0019-9958(65)90241-X

Onisawa T. Fuzzy theory in reliability analysis. Fuzzy Sets Syst. 1989; 30(3): 361-3.

https://doi.org/10.1016/0165-0114(89)90031-6

Wang YM, Yang JB, Xu DL, Chin KS. On the centroids of fuzzy numbers. Fuzzy Sets Syst. 2006; 157(7): 919-26.

https://doi.org/10.1016/j.fss.2005.11.006

Markowski AS, Mannan MS. Fuzzy Risk Matrix. J Hazard Mater. 2008; 159(1): 152-7.

https://doi.org/10.1016/j.jhazmat.2008.03.055

Ferdous R, Khan F, Sadiq R, Amyotte P, Veitch B. Fault and Event Tree Analyses for Process Systems Risk Analysis: Uncertainty Handling Formulations. Risk Anal. 2011; 31(1): 86-107.

https://doi.org/10.1111/j.1539-6924.2010.01475.x

Yang J, Wang WW, Qiu SZ, Tian WX, Su GH, Wu YW. Simulation and analysis on 10-in. cold leg small break LOCA for AP1000. Ann Nucl Energy. 2012; 46: 81-9.

https://doi.org/10.1016/j.anucene.2012.03.007

Purba JH. Fuzzy probability on reliability study of nuclear power plant probabilistic safety assessment: A review. Prog Nucl Energy (under review). 2013.

https://doi.org/10.1016/j.pnucene.2014.05.010

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Published

2015-03-29

How to Cite

Purba, J. H., & Tjahyani, D. S. (2015). KUANTIFIKASI KETIDAKPASTIAN PADA ANALISIS POHON KEGAGALAN DENGAN PENDEKATAN FUZZY. Jurnal Teknologi Reaktor Nuklir Tri Dasa Mega, 16(1), 21–30. Retrieved from https://ejournal.brin.go.id/tridam/article/view/2342