Nuclear Reactor Spatial Kinetics Expressed in the Transfer Functional Form

Journal Article · Tue Jan 01 04:00:00 EST 1963 · Nippon Genshiryoku Gakkai-Shi

DOI:https://doi.org/10.3327/jaesj.5.503· OSTI ID:4686816

HAYASHI, Shigenori; HOSHINO, Tsutomu; WAKABAYASHI, Jiro

The spatial kinetics of the nuclear reactor has been studied by means of the modal expansion method. The transfer functional expressions of the modal response have also been used. It is, however, rather difficult to do the practical calculation or have an intuitive understanding of the flux response by means of the modal expansion, in which the solutions are expressed through the eigenvalues and the eigenfunctions. In the control engineering field, it may be required to get rough information, such as the equivalent simple lag approximation, rather than the strict or accurate one about the response. For this reason, the Green's function of the diffusion equation of the bare, zero power reactor (slab and cylinder, one dimensional) is obtained under the specified boundary conditions, in order to get more convenient expressions of the spatial kinetics. The Green's function also means the transfer function describing the relation between the point neutron source and the neutron flux response. This transfer function is approximated as the simple rational function of s'' and its physical meaning discussed. Numerical examples of the strict frequency response of the reactor flux and the dependency on the space variable are shown.

• Research Organization: Kyoto Univ.
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-033257
• OSTI ID: 4686816
• Journal Information: Nippon Genshiryoku Gakkai-Shi, Journal Name: Nippon Genshiryoku Gakkai-Shi Journal Issue: 6 Vol. 5; ISSN 0004-7120
• Country of Publication: Country unknown/Code not available
• Language: Japanese

Related Subjects

21 SPECIFIC NUCLEAR REACTORS AND ASSOCIATED PLANTS
CONFIGURATION
CONTROL
CYLINDERS
DIFFUSION
EQUATIONS
FREQUENCY
NEUTRON FLUX
NUMERICALS
PLATES
REACTIVITY
REACTORS
THERMAL NEUTRONS
TRANSFER FUNCTIONS
TRANSPORT THEORY