The Describing Function of Nuclear Reactors

Henri B. Smets

doi:10.1109/TNS2.1959.4315700

The Describing Function of Nuclear Reactors

Henri B. Smets

Research output › peer-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 language	English
Pages (from-to)	8-12
Number of pages	5
Journal	IRE Transactions on Nuclear Science
Volume	6
Issue number	4
DOIs	https://doi.org/10.1109/TNS2.1959.4315700
State	Published - Dec 1959
Externally published	Yes

ASJC Scopus subject areas

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

Access to Document

10.1109/TNS2.1959.4315700

Cite this

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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.",

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