PBMR (Pebble Bed Modular Reactor) is a High-Temperature Gas-cooled Reactor (HTGR) utilizing spherical pebble like fuel elements. A pebble is a moulded graphite sphere about the size of a tennis ball that contains approximately 15000 homogeneously distributed, triso-coated low-enriched uranium dioxide (UO2) particles, about 1mm in diameter. In the case of fast reactivity transients the accurate time-dependent calculation of the uranium temperature is essential as the neutron balances in the nuclear reactor are strongly influenced by the actual fuel temperature. This paper presents a calculation model that calculates the temperature profile through a representative fuel kernel, its coating layers and the associated graphite moderator. The local nuclear fission heat is deposited directly in the fuel itself. Great care is taken with the definition of the boundary conditions and implementation thereof to ensure that the kernel temperature calculation model describes the physics as accurately as possible. This paper reports on this in detail. A sample calculation is included to illustrate the effect of and need for a more accurate model.

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