This paper presents a novel approach for the modelling of the reactor kinetics of subcritical systems. The new model, named multi-generation point kinetics, shares some of the features of the classical point kinetics, such as the factorization of the solution in shape / amplitude and the projection of the reactor kinetic equations to derive a lumped parameter model. Unlike classical point kinetics, this approach introduces additional amplitudes to account for the independent evolution of the first few terms in the multi-collision series. After truncation of the series, the multiply-collided component (i.e. residue) is modelled using a separate amplitude. Results presented in this paper show that the additional degree of freedom offered by the multi generation point kinetics significantly increases its accuracy compared to point kinetics, with a limited additional computational effort.

本文提出了一种用于模拟亚临界系统反应器动力学的新方法。新模型称为多代点动力学，具有经典点动力学的一些特征，例如解的形状/幅度因式分解和反应器动力学方程的投影以推导出集总参数模型。与经典点动力学不同，这种方法引入了额外的振幅来解释多次碰撞系列中前几项的独立演化。在对序列进行截断之后，多重碰撞的分量（即残差）使用单独的幅度进行建模。本文中提供的结果表明，与点动力学相比，多代点动力学提供的额外自由度显着提高了其准确性，