Exact statistical analysis of nonlinear dynamic power reactor models by the Fokker--Planck method. Part III. Reactor with temperature feedback

Journal Article · Thu Mar 01 04:00:00 EST 1979 · Nucl. Sci. Eng.; (United States)

OSTI ID:6495062

Debosscher, A F

An exact first-order statistical analysis is given of the power and temperature fluctuations in a nuclear power reactor with temperature feedback, which is perturbed by Gaussian white reactivity noise. Using a new technique, the time-independent Fokker--Planck equation for the two-dimensional power-temperature Markov process is solved in terms of a two-dimensional first-order characteristic function. This characteristic function gives a complete first-order statistical description of the investigated stochastic process and allows for the calculation of the marginal and the combined probability density functions of reactor power and temperature. In addition, a general expression for the moments is derived. Since the underlying reactor model has been extensively used in approximate linearized analyses, a comparison can be made of the exact results obtained in this paper with the earlier results, and the validity of the linear approximation can be delimited in terms of two dimensionless system parameters.

• Research Organization: Kathokieke Univ., Leuven, Belgium
• OSTI ID: 6495062
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 69:3; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
CALCULATION METHODS
FEEDBACK
FLUCTUATIONS
KINETICS
MATHEMATICS
NONLINEAR PROBLEMS
POWER DISTRIBUTION
POWER REACTORS
REACTOR KINETICS
REACTORS
STATISTICS
STOCHASTIC PROCESSES
TEMPERATURE DISTRIBUTION
TWO-DIMENSIONAL CALCULATIONS
VARIATIONS