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**Harvard**

Ziguan, W. (2013) *General Analytical Solution for Two-group, Two-point Variance-to-mean Formulas and Their Application to Safeguards*. Göteborg : Chalmers University of Technology (CTH-NT - Chalmers University of Technology, Nuclear Engineering, nr: ).

** BibTeX **

@mastersthesis{

Ziguan2013,

author={Ziguan, Wang},

title={General Analytical Solution for Two-group, Two-point Variance-to-mean Formulas and Their Application to Safeguards},

abstract={The theory of Feynman-alpha method was extended to two-point one-group, two-group onepoint,
and two-point two-group versions by using the Kolmogorov forward master equation with
complete description of various types of reactions for neutrons. The motivation for this work
is related to the fact that the traditional one-group one-region Feynman-alpha formula was
elaborated and used for thermal systems in which the thermal
ux and the lifetime of thermal
neutrons dominates. However, this approach does not fully describe the eects of the re
ector
in the fast neutron systems, as well as heavily re
ected thermal systems.
Therefore, in the present work the two-group one-point, the two-point one-group and twogroup
two-point formulas were elaborated for dierent types of detections. Previously, the
two-group one-point formula described only detections of fast neutrons and at the same time
neglected the fast ssions, while the two-point one-group formula were limited to the case where
source term and detections were considered only for a core region. The quantitative assessment
of the formulas with regards to applications in safeguards and accelerator-driven system was
made through MCNPX and MCNP-PoliMi simulations. The results indicate a possibility to use
Feynman-alpha method to dierentiate between various isotopic compositions of nuclear fuel.},

publisher={Institutionen för teknisk fysik, Nukleär teknik, Chalmers tekniska högskola},

place={Göteborg},

year={2013},

series={CTH-NT - Chalmers University of Technology, Nuclear Engineering, no: },

note={52},

}

** RefWorks **

RT Generic

SR Print

ID 186350

A1 Ziguan, Wang

T1 General Analytical Solution for Two-group, Two-point Variance-to-mean Formulas and Their Application to Safeguards

YR 2013

AB The theory of Feynman-alpha method was extended to two-point one-group, two-group onepoint,
and two-point two-group versions by using the Kolmogorov forward master equation with
complete description of various types of reactions for neutrons. The motivation for this work
is related to the fact that the traditional one-group one-region Feynman-alpha formula was
elaborated and used for thermal systems in which the thermal
ux and the lifetime of thermal
neutrons dominates. However, this approach does not fully describe the eects of the re
ector
in the fast neutron systems, as well as heavily re
ected thermal systems.
Therefore, in the present work the two-group one-point, the two-point one-group and twogroup
two-point formulas were elaborated for dierent types of detections. Previously, the
two-group one-point formula described only detections of fast neutrons and at the same time
neglected the fast ssions, while the two-point one-group formula were limited to the case where
source term and detections were considered only for a core region. The quantitative assessment
of the formulas with regards to applications in safeguards and accelerator-driven system was
made through MCNPX and MCNP-PoliMi simulations. The results indicate a possibility to use
Feynman-alpha method to dierentiate between various isotopic compositions of nuclear fuel.

PB Institutionen för teknisk fysik, Nukleär teknik, Chalmers tekniska högskola,

T3 CTH-NT - Chalmers University of Technology, Nuclear Engineering, no:

LA eng

OL 30