The invention discloses a method for calculating poison
nucleon density of external circulation fuel spheres of a
pebble-
bed high-temperature gas cooled reactor. Firstly, in-
pile multi-group
neutron flux distribution is obtained; simplifying a
burnup chain of the important poison, and establishing and solving a
burnup equation of the simplified
burnup chain to obtain the equilibrium concentration of batches of all areas of the bottommost layer of the
pebble bed at the current stage, which can return to a reactor core, namely the initial fuel ball poison concentration; establishing a burnup equation after the fuel balls are unloaded out of the reactor, and deducing and solving the
nuclear density of a batch of poison unloaded from a runner before the poison stays out of the reactor for a period of time and returns to the reactor core; until the variation of the poison
nucleon density of each batch of each runner which will return to the reactor core is solved; performing volume weighted averaging on the same batch of poison
nucleon densities of different flow channels decayed for a period of time outside the reactor according to the
area ratio of the flow channels; and finally obtaining the poison nucleon density of the batch returned to the reactor core after out-of-reactor decay and uniform mixing. According to the method disclosed by the invention, the poison concentration is more reasonable after the fuel balls subjected to out-of-reactor circulation return to the reactor core again.