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VII. simplegeometries,the single mode representation(one-point reactor kinetics) is an adequatedescription of the system behavior. Start from the representationof the propagatorin terms of thefundamental . eigenmode, (n=O, seeAppendices B and C). 9). 8), (B. 9) . 16) 2-1 (CL)! , can be rewritten in the form: . 22) * + voa-Po(u1+m2) > a*+(w1+@2)~ Note that by starting from a rigorous derivation of the bispectrum function in terms of the stochastic theory of the neutron field, the single mode approximation provides weight factors, W,, W,, to properly account for the averagingover phase-spaceimplicit in the /\ one-point reactor kinetics model.
IO) and (B. 13) 02) hRl (Q’l+w2)l) 22 . 14) ‘Note that by going to the frequency domain the convolution integrals transform into products that result in the separationof the instrumentation and systemresponses. The various h,-functions defined in Appendix B, are Fourier, transformeddetector fieldof-view functions,whereasthe hqqg-functions are driven by the spaceoverlap of the (q, q’) detector pair over the distribution of the fissiie material. VII. simplegeometries,the single mode representation(one-point reactor kinetics) is an adequatedescription of the system behavior.
Pozzi M. Marsaguerra University of Tennessee H. L. Dodds L. F. Miller B. R. Upadhyaya UT-Battelle L. G. Chiang F. C. Difilippo L. Lea1 J. K. Mattingly D. W. McDonald J. T. Mihalczo R. B. Oberer R. B. Perez V . Protopopescu T. E. Valentine J. D. White M. C. NL Laboratory Records (RC) ?