Published June 1989 | Version v1
Journal article Metadata-only

A nonlinear geometry of reactor dynamics with temperature feedback

Creators

  • 1. McMaster Univ., Hamilton, Ontario (Canada). Dept. of Engineering Physics

Description

Topological methods are used to analyze fission reactor dynamics with temperature feedback. The chosen coordinates of the statespace are proportional to the power and core temperature, and the temperature feedback is based on a power-law representation. Stability analysis and trajectorial characterization are performed with respect to a control parameter related to power-to-flow ratio. It is shown that the system evolves from nodal to spiral geometries of behavior as the power-to-flow ratio is increased past a threshold value. (orig.)

Abstract (German)

Die Dynamik von Spaltungsreaktoren mit Temperaturrueckkopplung wird mittels topologischer Verfahren analysiert. Die gewaehlten Koordinaten im Zustandsraum sind der Leistung und der Temperatur der Spaltzone proportional; die Temperaturrueckkopplung ist als Potenzgesetz formuliert. Die Stabilitaetsanalyse und die Charakterisierung der Trajektorien werden mit Hilfe eines Steuerparameters vorgenommen, der mit dem Quotienten von Leistung und Stroemungsgeschwindigkeit zusammenhaengt. Wenn dieser Quotient ueber einen Schwellenwert erhoeht wird, so geht die nodale Struktur der Trajektorien im Phasenraum in eine spiralfoermige Struktur ueber. (orig.)

Additional details

Publishing Information

Journal Title
Kerntechnik
Journal Volume
54
Journal Issue
1
Series
Kerntechnik.
Journal Page Range
32-37
ISSN
0932-3902
CODEN
KERTA

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
20066169
Subject category
S22: GENERAL STUDIES OF NUCLEAR REACTORS; S21: SPECIFIC NUCLEAR REACTORS AND ASSOCIATED PLANTS; S21: SPECIFIC NUCLEAR REACTORS AND ASSOCIATED PLANTS;
Descriptors DEI
BWR TYPE REACTORS; CONTROL THEORY; DELAYED NEUTRONS; FEEDBACK; GEOMETRY; HELICAL CONFIGURATION; JACOBIAN FUNCTION; MATRICES; PHWR TYPE REACTORS; REACTIVITY; REACTOR KINETICS; STABILITY; TEMPERATURE DEPENDENCE; TRAJECTORIES
Descriptors DEC
BARYONS; CONFIGURATION; ELEMENTARY PARTICLES; ENRICHED URANIUM REACTORS; FERMIONS; FISSION NEUTRONS; FUNCTIONS; HADRONS; HEAVY WATER COOLED REACTORS; HEAVY WATER MODERATED REACTORS; KINETICS; MATHEMATICS; NEUTRONS; NUCLEONS; POWER REACTORS; REACTORS; THERMAL REACTORS; WATER COOLED REACTORS; WATER MODERATED REACTORS