On a Closed Form Solution of the Point Kinetics Equations with a Modified Temperature Feedback

J. J. A. Silva (), B. E. J. Bodmann (), M. T. Vilhena () and A. C. M. Alvim ()
Additional contact information
J. J. A. Silva: Federal University of Rio de Janeiro
B. E. J. Bodmann: Federal University of Rio Grande do Sul
M. T. Vilhena: Federal University of Rio Grande do Sul
A. C. M. Alvim: Federal University of Rio de Janeiro

Chapter Chapter 18 in Integral Methods in Science and Engineering, 2013, pp 245-257 from Springer

Abstract: Abstract In the present work we analyze the nonlinear and time dependent temperature feedback in neutron point kinetics with precursors. The influence of neutron density and temperature on reactivity is calculated from a minimal non-linear model. Starting from a phenomenological point of view, beside the neutron density temperature coupling also a non-linear neutron density term is added to the temperature influence on the neutron density, or power density. A closed form solution of this extended point kinetics equation system and the computation of reactivity as a function of time by the decomposition method is discussed.

Keywords: Neutron point kinetics; Nonlinear and time dependent temperature feedback; Precursors; Closed form solution; Lyapunov-type convergence stability analysis (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-7828-7_18

Ordering information: This item can be ordered from
http://www.springer.com/9781461478287

DOI: 10.1007/978-1-4614-7828-7_18

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().