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Transfer function synthesis for reactor spatial dynamics using the modal approach

Technical Report:

Abstract

Techniques are developed below which will enable the construction of transfer functions relating changes in variables such as power or neutron flux with reactivity perturbations when there is a need for taking into account spatial effects within a reactor. Initially each of the transfer functions derived comprises the sum of a series of harmonics each of which has a laplace transform with associated spatial eigenfunction. Series of this kind can then be reduced to pure polynomial form (numerators on denominators) the coefficients of which have implicit allowance for spatial effects. The existence of large reactors having several independent controllers make necessary knowledge of transfer functions of this form. The technique will allow the characteristics of each controlled sector to be obtained as well as the characteristics of the complete control system with its couplings through the reactor core. In addition, the developing use of frequency response testing of reactors makes necessary a knowledge of the spatial behaviour to be expected of a reactor under test. (author)
Authors:
Guppy, C B [1] 
  1. Control and Instrumentation Division, Atomic Energy Establishment, Winfrith, Dorchester, Dorset (United Kingdom)
Publication Date:
Aug 15, 1962
Product Type:
Technical Report
Report Number:
AEEW-R-197
Resource Relation:
Other Information: Country of input: International Atomic Energy Agency (IAEA); 8 refs
Subject:
22 GENERAL STUDIES OF NUCLEAR REACTORS; CONTROL SYSTEMS; COUPLINGS; EIGENFUNCTIONS; FREQUENCY RESPONSE TESTING; HARMONICS; LAPLACE TRANSFORMATION; NEUTRON FLUX; POLYNOMIALS; REACTIVITY; REACTOR CORES; TRANSFER FUNCTIONS
OSTI ID:
20868322
Research Organizations:
United Kingdom Atomic Energy Authority, Reactor Group, Winfrith (United Kingdom)
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
TRN: GB07A0116036067
Availability:
Available from INIS in electronic form; Also available from H.M. Stationery Office
Submitting Site:
GBN
Size:
62 pages
Announcement Date:
May 24, 2007

Technical Report:

Citation Formats

Guppy, C B. Transfer function synthesis for reactor spatial dynamics using the modal approach. United Kingdom: N. p., 1962. Web.
Guppy, C B. Transfer function synthesis for reactor spatial dynamics using the modal approach. United Kingdom.
Guppy, C B. 1962. "Transfer function synthesis for reactor spatial dynamics using the modal approach." United Kingdom.
@misc{etde_20868322,
title = {Transfer function synthesis for reactor spatial dynamics using the modal approach}
author = {Guppy, C B}
abstractNote = {Techniques are developed below which will enable the construction of transfer functions relating changes in variables such as power or neutron flux with reactivity perturbations when there is a need for taking into account spatial effects within a reactor. Initially each of the transfer functions derived comprises the sum of a series of harmonics each of which has a laplace transform with associated spatial eigenfunction. Series of this kind can then be reduced to pure polynomial form (numerators on denominators) the coefficients of which have implicit allowance for spatial effects. The existence of large reactors having several independent controllers make necessary knowledge of transfer functions of this form. The technique will allow the characteristics of each controlled sector to be obtained as well as the characteristics of the complete control system with its couplings through the reactor core. In addition, the developing use of frequency response testing of reactors makes necessary a knowledge of the spatial behaviour to be expected of a reactor under test. (author)}
place = {United Kingdom}
year = {1962}
month = {Aug}
}