The effect of β on the consequence characteristics of a postulated criticality accident using 1/fβ spectrum in randomized model of material distribution

• Published in: Annals of nuclear energy Vol. 174; p. 109167
• Main Authors: Simanullang, Irwan Liapto, Yamane, Yuichi, Ueki, Taro, Tonoike, Kotaro
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.09.2022
• Subjects: 1/fβspectrum model; Criticality accident; Fuel debris; Number of fissions; Randomized model; Number of fissions; 1/fβspectrum model; Criticality accident; Randomized model; Fuel debris
• ISSN: 0306-4549; 1873-2100
• DOI: 10.1016/j.anucene.2022.109167

•Effect of β on consequences analysis in fuel debris using the RWF with 1/fβ spectrum.•The 1/fβ spectrum helps us to understand the tendency of random material distribution.•There is a probability of a criticality occur by varying the β values.•The distribution of number of fissions has positive skewness for all β values. The distribution of the number of fissions has been studied as the consequence of a postulated criticality accident using a randomized model for the material distribution in fuel debris with the power law spectrum (1/fβ). The f is the frequency domain variable while the β value is the parameter related to randomness varying in a certain range. This study investigated the effect of β on the temperature coefficient of reactivity and number of fissions. The calculation results for the temperature coefficient of reactivity show that the shape of the histogram changes from symmetrical to positive skewness by increasing the β value. Moreover, large values of β increase the uncertainty of the number of fissions. The results of this study are worthwhile to realize the behavior of the temperature coefficient of reactivity and number of fissions in the randomized model of fuel debris using the 1/fβ spectrum model.