Projekt Schneller Br üt e r Advanc ed Sta.ti stfc af Hot Spot Analysis A. Amendola KFK 1134 EUR 3687 e März 1970 KERNFORSCHUNGSZENTRUM KARLSRUHE KFK 1134 EUR 3687e Institut für Reaktorentwicklung Projekt Schneller Brüter Advanced Statistical Hot Spot Analysis *) A. Amendola Gesellschaft für Kernforschung m.b.H., Karlsruhe *) Euratom, Brussels, delegated to the Karlsruhe Fast Breeder Project, Institut für Reaktorentwicklung I Abstract This re port presents a general statistical method of hot

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... and hot channel analysis. Adefinition of "hot spot" is proposed, which allows to correlate the probability of exceeding certain critical temperatures to the size of the zone in which they occur. The assumptions of previous methods are critically reviewed and, in contrast to results of previous methods, the hot channel factors are demonstrated to be independent of the assumed spot size. The different effects of local and global uncertainties, and the radial and axial power profile in the core are taken into account. Together with the probability of at least one hot spot in the core, the probability that hot spots occur in exactly one, or exactly two, or in exactly n subassemblies is evaluated. The report includes a description cf the FORTRAN-IV code SHOSPA, which is based on the proposed method and is applicable to any type of reactor and any power profile as long as the core is constituted of bundled fuel rads. A numerical application of the code to the sodium cooled fast reactor Na-2 is shown, together with the analysis of the influence of the assumed spot size on the hot spot factors. beigefügt~das die vorgeschlagene Methode zur Grundlage hat und für Jeden Reaktortyp und jedes Leistungsprofil angewendet werden kann, wenn nur der Reaktorkern aus StabbUndel-Brennelementen aufgebaut ist. Die Ergebnisse einer Anwendung des Rechenprogramms auf den natriumgekühlten schnellen Reaktor Na-2 werden berichtet~weiterhin wird der Einfluß der angenommenen Größe der Helßstelle auf die Heißstellenfaktoren analysiert. 111 Tableof contents List of symbols < Neq . <i1· M , fr,M' 6"".) if~'M<~x<'tM + 4.5&". SP-J J J rJ J J rJ ::N e q '(;}"M'V'M'u.) i f h ;;:fJ. J ' M + 4.5 (J". sp-J J J r J r J