Fluctuations in a System Depending on Several Random Parameters. Application to Reactors; FLUCTUATIONS D'UN SYSTEME DEPENDANT DE PLUSIEURS PARAMETRES ALEATOIRES. APPLICATION AUX REACTEURS NUCLEAIRES

Technical Report · Mon Jan 01 04:00:00 EST 1962

OSTI ID:4786417

Blaquiere, A; Pachowska, R

A method was previously developed for studying neutronic fluctuations in nuclear reactors using the analogy between the behavior of a reactor and that of certain common radioelectric circuits. The fluctuations may then be calculated by introducing into the circuit a suitable noise source. By this method the over- all fluctuations in a particularly simple form were considered and a physical significance was provided for certain results obtained more laboriously by other methods. The object of the report is to generalize this method and in particular to extend it to the case of a reactor having a cellular structure and to apply it to fluctuations within a cell. It is thus shown that the fluctuations in a cell are the resultant of a rapidly evolving poissonian noise, not related to the over- all fluctuations; and a slowly evolving noise, when the reactor is not too far from criticality, which is related to the over-all fluctuations. The relationship of the new method to the old methods is also stressed. Pile fluctuation theory is placed in a more general framework, that of the fluctuations of a system depending on several random parameters; from this point of view, the method could easily be transposed and adapted to the study of other physical problems of this type. (auth)

• Research Organization: France. Commissariat a l'Energie Atomique. Centre d'Etudes Nucleaires, Saclay
• NSA Number: NSA-16-017231
• OSTI ID: 4786417
• Report Number(s): CEA-2115
• Country of Publication: France
• Language: English

Related Subjects

ANALOG SYSTEMS
CIRCUITS
CONFIGURATION
CRITICALITY
EQUATIONS
NEUTRONS
REACTIVITY
REACTOR CORE
REACTOR NOISE
REACTOR TECHNOLOGY
REACTORS
STATISTICS
VARIATIONS