小阶跃反应性输入时点堆中子动力学方程的解析解

The analytic solutions of point-reactor neutron-kinetics equation with small step reactivity

对小阶跃反应性输入 (0 <ρ0 <β) 且有温度反馈时点堆中子动力学方程进行了研究 .导出任意初始功率条件下核反应堆功率、反应性与时间的解析表达式 .分析和讨论了初始功率与输入小阶跃反应性的大小对功率、反应性变化规律的影响 。

The point_reactor neutron_kinetics equation under the conditions of small step reactivity ( ρ 0<β) and temperature feedback is analyzed. For any initial power, the analytic expressions of the reactivity and output power with time are derived. The effects of the inserted step reactivity and initial power on the process are analyzed and discussed. Some useful new results and conclusions are obtained.