Abstract
Reactor power affects the temperature of fuel and coolant of a nuclear power plant. The change in temperature of fuel and coolant modify the reactivity of a nuclear reactor. The change in reactivity due to the change of reactor power is known as power defect. The power defect depends on the various parameters such as reactivity coefficients due to thermal hydraulics feedback, the response of fuel and coolant temperature due to variation of reactor power, etc. The reactivity coefficients are significantly varied due to different operating conditions, changes in fuel characteristics and fuel burn-up during fuel residence time inside the reactor. This wide variation of reactivity coefficient are in general technically specified in the form of lower and upper bound for safety analysis purpose. A thought experiment has been carried out considering those reactivity coefficients contain stochastic variability and ignorance (i.e., lack of knowledge). The uncertainty involved in reactivity coefficients are captured by defining them with probability box (p-box). After propagating the p-box of reactivity coefficients through the theoretical model of power defect, the p-box of power defect has been generated. In the pinching method, one of two reactivity coefficients will be fixed at their average value and observation on the change of area of p-box of power defect has been made for sensitivity analysis. Based on the reduction of area of p-box of power defect, the sensitivity of these two reactivity coefficients has been analyzed. The parametric studies of variation of sensitivity for five different power drops (i.e., \(10\%\), \(25\%\), \(50\%\), \(75\%\) and \(100\%\)) have been studied and quantified in this paper. It is found that the reactivity coefficient due to coolant temperature is more sensitive than reactivity coefficient due to the fuel temperature on power defect. It is also found that the sensitivity does not depend on amount of power drop.
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References
Duderstadt, J.J., Hamilton, L.J.: Nuclear Reactor Analysis. Wiley, New York (1976)
Bera, S., Lakshmanan, S.P., Datta, D., Paul, U.K,. Gaikwad, A.J.: Estimation of epistemic uncertainty in power defect due to imprecise definition of reactivity coefficients. In: DAE-BRNS Theme meeting on Advances in Reactor Physics (ARP-2017), DAE Convention Centre, Anushaktinagar, Mumbai-400094, 6–9 December (2017)
Chalco-Cano, Y., Lodwick, W.A., Bede, B.: Single level constraint interval arithmetic. Fuzzy Sets Syst. 257, 146–168 (2014)
Simic, D., Kovacevic, I., Svircevic, V., Simic, S.: 50 years of fuzzy set theory and models for supplier assessment and selection: a literature review. J. Appl. Log. 24, 85–96 (2017)
Hui, L., Shangguan, W.-B., Dejie, Yu.: An imprecise probability approach for squeal instability analysis based on evidence theory. J. Sound Vib. 387, 96–113 (2017)
Ferson, S., Ginzburg, L.R.: Different methods are needed to propagate ignorance and variability. Reliab. Eng. Saf. Syst. 54, 133–144 (1996)
Bera, S., Datta, D., Gaikwad, A.J.: Uncertainty analysis of contaminant transportation through ground water using fuzzy-stochastic response surface. In: Chakraborty, M.K., Skowron, A., Maiti, M., Kar, S. (eds.) Facets of Uncertainties and Applications. Springer Proceedings in Mathematics & Statistics, vol. 125, pp. 125–134. Springer, New Delhi (2015). https://doi.org/10.1007/978-81-322-2301-6_10
Ferson, S., Hajagos, J.G.: Arithmetic with uncertain numbers: rigorous and (often) best possible answers. Reliab. Eng. Saf. Syst. 85, 135–152 (2004)
Ferson, S., Troy Tucker, W.: Sensitivity analysis using probability bounding. Reliab. Eng. Syst. Saf. 91, 1435–1442 (2006)
Tang, H., Yi, D., Dai, H.-L.: Rolling element bearing diagnosis based on probability box theory. Appl. Math. Model. (2019). https://doi.org/10.1016/j.apm.2019.10.068
Doornik, J.A.: An Improved Ziggurat Method to Generate Normal Random Samples. University of Oxford, Oxford (2005)
Leong, P., Zhang, G., Lee, D.-U., Luk, W., Villasenor, J.: A comment on the implementation of the Ziggurat method. J. Stat. Softw. Art. 12(7), 1–4 (2005)
Okten, G., Goncu, A.: Generating low-discrepancy sequences from the normal distribution: Box-Muller or inverse transform? Math. Comput. Model. 53(5), 1268–1281 (2011)
Riesinger, C., Neckel, T., Rupp, F.: Non-standard pseudo random number generators revisited for GPUs. Future Gener. Comput. Syst. 82, 482–492 (2018)
Boafo, E., Gabbar, H.A.: Stochastic uncertainty quantification for safety verification applications in nuclear power plants. Ann. Nucl. Energy 113, 399–408 (2018)
RELAP5/MOD3.2 Code manual, Idaho National Engineering Laboratory, Idaho Falls, Idaho 83415, June 1995
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Bera, S. (2021). Application of Pinching Method to Quantify Sensitivity of Reactivity Coefficients on Power Defect. In: Shi, Z., Chakraborty, M., Kar, S. (eds) Intelligence Science III. ICIS 2021. IFIP Advances in Information and Communication Technology, vol 623. Springer, Cham. https://doi.org/10.1007/978-3-030-74826-5_23
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DOI: https://doi.org/10.1007/978-3-030-74826-5_23
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