TY - JOUR
T1 - Fractional-space law for the neutron current density
AU - Espinosa-Paredes, G.
AU - Vázquez-Rodríguez, R.
AU - Del Valle Gallegos, E.
AU - Alonso, G.
AU - Moghaddam, N. M.
PY - 2013
Y1 - 2013
N2 - In this work, a fractional constitutive law (FCL) for the average neutron motion in nuclear reactors is presented. The FCL has a fractional exponent of the differential operator, which is the new unknown. The application of the FCL in the neutron balance equation leads to the fractional diffusion equation. The fractional exponent was evaluated using detrended fluctuation analysis (DFA). The DFA technique is based on the random walk theory and was applied to a power signal of the Forsmark Boiling Water Nuclear Reactor. The results show that the fractional exponent is between 0.1881 and 0.9399 for stationary operation, load changes and unstable conditions.
AB - In this work, a fractional constitutive law (FCL) for the average neutron motion in nuclear reactors is presented. The FCL has a fractional exponent of the differential operator, which is the new unknown. The application of the FCL in the neutron balance equation leads to the fractional diffusion equation. The fractional exponent was evaluated using detrended fluctuation analysis (DFA). The DFA technique is based on the random walk theory and was applied to a power signal of the Forsmark Boiling Water Nuclear Reactor. The results show that the fractional exponent is between 0.1881 and 0.9399 for stationary operation, load changes and unstable conditions.
KW - DFA method
KW - Diffusion equation
KW - Forsmark Nuclear Power Plant
KW - Fractional calculus
KW - Laguna Verde Nuclear Power Plant
KW - Netron current density
UR - http://www.scopus.com/inward/record.url?scp=84872721285&partnerID=8YFLogxK
U2 - 10.1016/j.anucene.2012.12.009
DO - 10.1016/j.anucene.2012.12.009
M3 - Artículo
SN - 0306-4549
VL - 55
SP - 120
EP - 125
JO - Annals of Nuclear Energy
JF - Annals of Nuclear Energy
ER -