Generalization of the analytical solution of neutron point kinetics equations with time-dependent external source

الموضوعات : Journal of Theoretical and Applied Physics

M. Seidi ¹ , S. Behnia ² , R. Khodabakhsh ³

1 - Department of Physics, University of Urmia
2 - Department of Physics, Urmia University of Technology
3 - Department of Physics, University of Urmia

تاريخ التأكيد : 09 الإثنين , صفر, 1436 تاريخ الإصدار : 09 الإثنين , صفر, 1436

الکلمات المفتاحية: Neutron source, Delayed neutron, Point reactor kinetics, Start, up,

ملخص المقالة :

AbstractPoint reactor kinetics equations with one group of delayed neutrons in the presence of the time-dependent external neutron source are solved analytically during the start-up of a nuclear reactor. Our model incorporates the random nature of the source and linear reactivity variation. We establish a general relationship between the expectation values of source intensity and the expectation values of neutron density of the sub-critical reactor by ignoring the term of the second derivative for neutron density in neutron point kinetics equations. The results of the analytical solution are in good agreement with the results obtained with numerical solution.