Design a computational program to calculate the composition variations of nuclear materials in the reactor operations

作者：Mohmmadnia Meysam^*; Pazirandeh Ali; Sedighi Mostafa; Bahabadi Mohammad Hassan Jalili; Tayefi Shima

来源：Annals of Nuclear Energy, 2013, 57: 111-113.

DOI：10.1016/j.anucene.2013.01.029

• Runge-Kutta-Fehlberg method
• Material composition core
• Atomic density changes
• Fission products

The present work investigates an appropriate way to calculate the variations of nuclides composition in the reactor core during operations. Specific Software has been designed for this purpose using C#. The mathematical approach is based on the solution of Bateman differential equations using a Runge-Kutta-Fehlberg method. Material depletion at constant flux and constant power can be calculated with this software.
The inputs include reactor power, time step, initial and final times, order of Taylor Series to calculate time dependent flux, time unit, core material composition at initial condition (consists of light and heavy radioactive materials), acceptable error criterion, decay constants library, cross sections database and calculation type (constant flux or constant power).
The atomic density of light and heavy fission products during reactor operation is obtained with high accuracy as the program outputs. The results from this method compared with analytical solution show good agreements.

• 出版日期2013-7