An analytical solution of the two-group diffusion equations is derived for multiregion source-driven subcritical systems in spherical geometry. An analytical formulation for the calculation of the effective multiplication factor is also presented. Using typical two-group cross sections characterizing source, buffer, and blanket regions, parameters such as neutron amplification, source efficiency, and blanket fast flux peaking factor are calculated. The criticality solution is utilized to calculate the effective multiplication factor and the neutron source efficiency. The dependency of the calculated global parameters on design variables like the source, buffer, blanket thicknesses, and subcriticality level is studied. Thin source regions result in very high neutron amplification, at the expense of high blanket fast flux peaking factors. If a buffer region is put between the source and the blanket regions, flux peaking could be reduced at the expense of reduced neutron amplification. If the subcriticality level can be reduced without jeopardizing safety, the neutron amplification increases and the fast flux peaking is reduced.

References

References
1.
Nifenecker
,
H.
,
David
,
S.
,
Louiseous
,
J. M.
, and
Meplun
,
O.
,
2002
, “
Basics of Accelerator Driven Subcritical Reactors
,”
Nucl. Instrum. Methods Phys. Res. A
,
463
(
3
), pp.
428
467
.
2.
Gandini
,
A.
, and
Salvatores
,
M.
,
2002
, “
The Physics of Subcritical Multiplying Systems
,”
J. Nucl. Sci. Technol.
,
39
(
6
), pp.
673
686
.
3.
Kobayashi
,
K.
, and
Nishihara
,
K.
,
2000
, “
Definition of Subcriticality Using the Importance Function for the Production of Fission Neutrons
,”
Nucl. Sci. Eng.
,
136
(
2
), pp.
272
281
.
4.
Goksu
,
A.
, and
Geckinli
,
M.
,
2011
, “
Neutron Multiplication in Source Driven Nuclear Systems
,”
Kerntechnik
,
76
, pp.
126
130
.
5.
Jing
,
T.
,
Wang
,
X.
,
Wang
,
Q.
,
Wu
,
H.
, and
Gong
,
X.
,
2013
, “
An Analytical Solution to Inhomogeneous Neutron Diffusion Equation in Accelerator Driven System
,”
Nucl. Phys. Rev.
,
30
, pp.
503
510
.
6.
Ozgener
,
B.
, and
Ozgener
,
H. A.
,
2014
, “
Variational Acceleration of Fission Source Iteration for Subcritical Source-Driven Systems
,”
Physics of Reactors International Conference
, Kyoto, Japan, Sept. 28–Oct. 3, Paper No. 1124804.
7.
Yavuz
,
C.
,
2014
, “
A Study of the Dependence of Source Efficiency on Design Parameters in Source-Driven Subcritical Nuclear Systems
,”
M.S. thesis
, Energy Institute, Istanbul Technical University, Istanbul, Turkey.https://www.researchgate.net/publication/299978967_A_study_of_the_dependence_of_source_efficiency_on_design_parameters_in_source-driven_subcritical_nuclear_systems
8.
Salvatores
,
M.
,
1999
, “
Accelerator Driven Systems (ADS), Physics Principles and Specificities
,”
J. Phys. IV
,
9
(
7
), pp.
7.17
7.33
.
9.
Shahbunder
,
H.
,
Pyeon
,
C. H.
,
Misawa
,
T.
,
Lim
,
J. Y.
, and
Shiroya
,
S.
,
2010
, “
Subcritical Multiplication Factor and Source Efficiency in Accelerator-Driven System
,”
Ann. Nucl. Energy
,
37
(
9
), pp.
1214
1222
.
10.
Heimlich
,
A.
, and
Santos
,
R. S.
,
2011
, “
Macroscopic Multigroup Constants for Accelerator Driven System Core Calculations
,”
International Nuclear Atlantic Conference
, Belo Horizonte, Brazil, Oct. 24–28.https://www.researchgate.net/publication/259853327_MACROSCOPIC_MULTIGROUP_CONSTANTS_FOR_ACCELERATOR_DRIVEN_SYSTEM_CORE_CALCULATIONS
You do not currently have access to this content.