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Derivation of pulsed Feynman- and Rossi-alpha formulae including delayed neutrons

Yasunori Kitamura ; Imre Pázsit (Institutionen för reaktorfysik) ; Johanna Wright (Institutionen för reaktorfysik) ; A Yamamoto ; Yoshihiro Yamane
Annals of Nuclear Energy Vol. 32 (2005), 7, p. 671-692.
[Artikel, refereegranskad vetenskaplig]

In previous works, the authors have developed an effective solution technique for calculating the pulsed Feynman- and Rossi-alpha formulae. Through derivation of these formulae, it was shown that the technique can easily handle various pulse shapes of the pulsed neutron source. Furthermore, it was also shown that both the deterministic (i.e.{} synchronizing with the pulsing of neutron source) and stochastic (non-synchronizing) Feynman-alpha formulae can be obtained with this solution technique. However, for mathematical simplicity and the sake of insight, the formal derivation was performed in a model without delayed neutrons. In this paper, to demonstrate the robustness of the technique, the pulsed Feynman- and Rossi-alpha formulae were re-derived by taking one group of delayed neutrons into account. The results show that the advantages of this technique are retained even by inclusion of the delayed neutrons. Compact explicit formulae are derived for the Feynman- and Rossi-alpha methods for various pulse shapes and pulsing methods.



Denna post skapades 2007-01-08. Senast ändrad 2014-09-02.
CPL Pubid: 4222

 

Institutioner (Chalmers)

Institutionen för reaktorfysik (1960-2005)

Ämnesområden

Fysik

Chalmers infrastruktur

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