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利用傅里叶方法得到了非齐次中子扩散方程格林函数的解析形式,通过格林函数计算了当外源在堆芯任意位置时的中子通量密度分布,分析了在次临界反应堆系统中,次临界倍增系数ks与外源位置和相同次临界深度下堆芯尺寸的依赖关系。发现,ks随着堆芯尺寸的增加而减小,这点变化虽小,但能量增益对ks以及堆芯尺寸是相当敏感的,加速器驱动的次临界系统(ADS)设计时应必须予以考虑。
The analytical form of the Green’s function of the non-homogeneous neutron diffusion equation is obtained by the Fourier method. The neutron flux density distribution when the external source is at an arbitrary position of the core is calculated by the Green’s function. In the subcritical reactor system, , The sub-critical multiplication factor ks depends on the core size at exogenous sites and the same sub-critical depth. It has been found that ks decreases as the size of the core increases. Although this change is small, the energy gain is quite sensitive to ks and to the size of the core. Accelerator-driven subcritical systems (ADS) designs must be considered.