The Describing Function of Nuclear Reactors

Henri B. Smets

Research outputpeer-review

Abstract

The integro-differential equation of reactor dynamics is studied and approximated. It is found that a reactor can be represented by means of a linear system and a nonlinear system in cascade. The transfer function of the linear system is the classical low-power transfer function. The nonlinear system is a nonlinear amplifier with an exponential characteristic. The describing function is computed in the case of a water-moderated reactor and it is shown that the gain near resonance increases with the magnitude of a reactivity sinusoidal oscillation.

Original languageEnglish
Pages (from-to)8-12
Number of pages5
JournalIRE Transactions on Nuclear Science
Volume6
Issue number4
DOIs
StatePublished - Dec 1959
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Nuclear Energy and Engineering
  • Electrical and Electronic Engineering

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