TY - JOUR
T1 - Reactivity calculation using the Euler-Maclaurin formula
AU - Suescún-Díaz, Daniel
AU - Rodríguez-Sarasty, Jesús A.
AU - Figueroa-Jiménez, Jorge H.
PY - 2013/3
Y1 - 2013/3
N2 - We develop an approximation method based on the Euler-Maclaurin formula for numerically solving the integral of the inverse point kinetic equation for nuclear reactor power. Due to its greater precision, this method requires fewer history points than other methods based on the nuclear power history. The approximation is validated with different forms of the nuclear power and with different time step calculations. Results suggest that this method, though easier to implement, has a better precision and lower computational costs than other methods that require the nuclear power history.
AB - We develop an approximation method based on the Euler-Maclaurin formula for numerically solving the integral of the inverse point kinetic equation for nuclear reactor power. Due to its greater precision, this method requires fewer history points than other methods based on the nuclear power history. The approximation is validated with different forms of the nuclear power and with different time step calculations. Results suggest that this method, though easier to implement, has a better precision and lower computational costs than other methods that require the nuclear power history.
KW - Euler-Maclaurin summation formula
KW - Inverse point kinetic equations
KW - Reactivity
UR - https://www.scopus.com/pages/publications/84869870984
U2 - 10.1016/j.anucene.2012.09.026
DO - 10.1016/j.anucene.2012.09.026
M3 - Article
AN - SCOPUS:84869870984
SN - 0306-4549
VL - 53
SP - 104
EP - 108
JO - Annals of Nuclear Energy
JF - Annals of Nuclear Energy
ER -