Determination of Reactor Kinetic Parameters by Pile Noise Analysis

Cohn, C.E.

doi:10.13182/nse59-a25605

Cited by 39 publications

(16 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…where (2) The absolute value of the neutron noise spectral density can be calculated from this equation. Comparison of the calculated results with experiment is given in Fig.…”

Section: Discussionmentioning

confidence: 99%

Power Noise Spectra of a Water Reactor in Low Frequency Region

Utsuro

Shibata

1967

J. Nucl. Sci. Technol.

View full text Add to dashboard Cite

The power noise measurements were carried out on the Kyoto University Reactor at various reactor power levels under natural convection for two kinds of core configuration with different temperature coefficients of reactivity. Analysis of the results revealed strong noise in the low frequency region at higher power levels, even with a core configuration of essentially zero temperature coefficient of total reactivity. A conventional theoretical model assuming a white noise input in reactivity and a reactor transfer function with temperature-reactivity feedbacks was adopted for comparison with the observed data, but it resulted in considerable disagreement at higher power levels.As a result, it is concluded that there must exist other power effects not yet clarified in the reactivity feedbacks or in the noise inputs to the reactor, which are responsible for the experimental noise spectrum distortion in the low frequency region.

show abstract

“…where (2) The absolute value of the neutron noise spectral density can be calculated from this equation. Comparison of the calculated results with experiment is given in Fig.…”

Section: Discussionmentioning

confidence: 99%

Power Noise Spectra of a Water Reactor in Low Frequency Region

Utsuro

Shibata

1967

J. Nucl. Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…where A* = A/P,ff is the reduced generation time, bi is the relative fraction of delayed neutron precursors (Cbi = l), p$ is the reactivity in dollar unit, and as usual, 6 delayed neutron precursor groups are used. Equation (2) is the expectation value of the measured APSD if t.he measurement time is infinite.…”

Section: Theorymentioning

confidence: 99%

The Measurement and Calculation of the Kinetic Parameter β_eff/Λ of a Small High-Temperature Like, Critical System

Wallerbos

Hoogenboom

1998

Journal of Nuclear Science and Technology

View full text Add to dashboard Cite

This paper demonstrates that it is well possible to determine the kinetic parameter P,E/A in a neutronically very slow system by means of noise measurements in the critical state. The advantages of this technique are that it can be conducted in a critical reactor directly, and that no special measurement equipment is needed. The comparison to calculated values for four configurations, which differ in the amount of moderation in the core region, shows a satisfactory agreement.

show abstract

“…)/=0 (4) In order to obtain a simpler equation, we introduce the probability generating function through the definition…”

Section: Dp~jj)_= -Vljanp(n T) +Vlj!(n+ 1)p(n+ 1 T) +Vljijf(v)(n-mentioning

confidence: 99%

A Study on the Zero-Probability Method

Kobayashi

1968

J. Nucl. Sci. Technol.

View full text Add to dashboard Cite

Let us consider the probabilities p (n, t) and p,,.(n, t). Here, p(n, t) is the probability that exactly n neutrons are found in the reactor at time t>O when a neutron had been injected at t=O, and p,.(n, t) the probability that a neutron detector placed in the reactor counts exactly m neutrons during a Lime interval (0, t) and exactly n neutrons are found at time t when a neutron had been injected at t=O. By formulating p(n, t) and p.,(n, t) in terms of last collision probabilities, linear partial differential equations for probability generating functions of p(n, t) and of Pm(n, t) have been derived. After solving these equations, the theory of zero-probability method is discussed. And it is shown that the probability P 0 (t) of recording no count during a time interval t is a function of a decay time constant a of prompt neutron chains and t. Moreover, an experiment has been carried out on an assembly containing slightly enriched uranium. Rossi-a measurements and pulsed neutron measurements have also been made for verification. The parameter a measured by the zero-probability method does not agree well with those by the other methods.

show abstract

Determination of Reactor Kinetic Parameters by Pile Noise Analysis

Cited by 39 publications

References 1 publication

Power Noise Spectra of a Water Reactor in Low Frequency Region

Power Noise Spectra of a Water Reactor in Low Frequency Region

The Measurement and Calculation of the Kinetic Parameter β_eff/Λ of a Small High-Temperature Like, Critical System

A Study on the Zero-Probability Method

Contact Info

Product

Resources

About

Determination of Reactor Kinetic Parameters by Pile Noise Analysis

Cited by 39 publications

References 1 publication

Power Noise Spectra of a Water Reactor in Low Frequency Region

Power Noise Spectra of a Water Reactor in Low Frequency Region

The Measurement and Calculation of the Kinetic Parameter βeff/Λ of a Small High-Temperature Like, Critical System

A Study on the Zero-Probability Method

Contact Info

Product

Resources

About

The Measurement and Calculation of the Kinetic Parameter β_eff/Λ of a Small High-Temperature Like, Critical System