有温度反馈阶跃引入负反应性瞬变的解

考虑有温度反馈反应堆阶跃引入负反应性过程的变化规律,对点堆中子动力学方程的解进行研究,给出不同的分析模型,分析发现,（1）用于瞬发超临界的分析模型及其结果不能用于引入大的负反应性过程的分析.（2）在相同的初始功率时,先驱核瞬跳近似模型的结果要优于目前比较普遍的中子瞬跳近似模型的结果.（3）无论初始功率与引入负阶跃反应性的大小,温度瞬跳近似模型的结果总是优于先驱核瞬跳近似与中子瞬跳近似模型的结果.故而温度瞬跳近似模型是目前最为准确的解析模型.

Analytic solutions of point-reactor neutron kinetics equations with temperature feedback under the condition of negative inserted step reactivity

The prompt and delayed supercritical process of a nuclear reactor with temperature feedback is taken into consideration. The solutions of the point-reactor neutron kinetics equations under the condition of temperature feedback and negative inserted step reactivity are investigated. Different analytic models are given. The new solution is also proposed and compared with those published in literature. It is found that (1) the model and related solution for prompt supercritical can not be applied for the process of large negative inserted step reactivity; (2) under the condition of the same initial power the precursor prompt jump approximation model is better than the neutron prompt jump approximation model; and (3) the temperature prompt jump approximation model is always better than the precursor and neutron prompt jump approximation models for any initial power and negative inserted step reactivity, which is so far the most accurate analytical model.