By Jeffery Lewins, Martin Becker
Quantity 23 makes a speciality of perturbation Monte Carlo, non-linear kinetics, and the move of radioactive fluids in rocks.
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Extra resources for Advances in Nuclear Science and Technology, Volume 23
CONTRACTION OF INFORMATION AND ITS INVERSE PROBLEM 45 If a reactor plant is assumed to be a minimum phase system, then all system zeros in the plane lie outside the unit circle in the complex plane. For the system, the minimum phase system is expressed by the requirement that eigenvalues of lie inside the unit circle in the complex plane from Eq . (8): To examine the stability of we can use the property that all eigenvalues of are inside the unit circle, if the reactor under consideration has a minimum phase property.
12): Then, as a data-oriented ARMA model is also given from data The other point is that from two data-oriented innovation models, Eqs. (32), (33), (34) and (35), finite ARMA zeros can be determined by d-q roots of the following polynomial in and, from Eq. (16) d ARMA poles in the plane obtained as inverse numbers of eigenvalues of A: are From Eqs. (36), (38), and (39) conservative quantities of a data oriented innovation model are system poles, ARMA zeros, and transfer functions of the innovation model.
1 are follows: 22 K. KISHIDA Then we have In this way we obtain where and After the interchange of columns, we obtain the system matrix mentioned in Eq. 13). For the 2 dimensional case, we can rewrite Eq. 5) as where and From Eq. (24) , we have and then an ARMA model via Eq. (23) is the same as Eq. (21). The details have been reported in papers [34,39]. Hence, the formalism developed in Section II can be applied to the analysis of power reactors with complicated reactions from the viewpoint of contraction of information.
Advances in Nuclear Science and Technology, Volume 23 by Jeffery Lewins, Martin Becker