Fractional neutron point kinetics equation with Newtonian temperature feedback effects

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• 作者：G. Espinosa-Paredes^a ; E. del Valle Gallegos^b ; ¹ ; ^{edmundo.delvalle@gmail.com" class="auth_mail} ; ^{evalle@esfm.ipn.mx" class="auth_mail} ; A. Nú ; ñ ; ez-Carrera^c ; M.-A. Polo-Labarrios^c ; E.-G. Espinosa-Martí ; nez^a ; A. Vá ; zquez-Rodrí ; guez^a
• 关键词：Fractional neutron point kinetics ; Nuclear reactor dynamics ; Relaxation time ; Fractional calculus ; Reactivity changes ; Anomalous diffusion coefficient
• 刊名：Progress in Nuclear Energy
• 出版年：May, 2014
• 年：2014
• 卷：73
• 期：Complete
• 页码：96-101
• 全文大小：1176 K

文摘

In this paper we present the numerical analysis of the fractional neutron point kinetics (FNPK) equations with temperature feedback effects. The FNPK model considers a relaxation time associated with a rapid variation in the neutron flux density considered in the differential operator of fractional order known as anomalous diffusion exponent. Different values of the relaxation time with one-group delayed neutron precursor were used for this analysis. Results for neutron flux density dynamic behavior with temperature feedback for different values of anomalous diffusion exponent are shown and compared with the classical neutron point kinetics equations.