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Table 6 shows how the differences in ψ* observed<br />

in helium- <strong>and</strong> LBE-cooled cores disappear in a<br />

homogenous core model.<br />

He- LBE- He- LBE-<br />

MOX MOX AcN AcN<br />

Heterogeneous 18.5 16.8 16.8 15.2<br />

Homogeneous 16.8 16.9 15.2 15.3<br />

-15% 1% -10% 1%<br />

Table 6: ψ* for the four cases in heterogeneous <strong>and</strong> homogenous<br />

core models. The homogenous model is too simplified to model<br />

helium-cooled cores accurately, while giving accurate results for<br />

LBE-cooled cores. The last row indicates the deviation <strong>of</strong> the<br />

results from using a homogenous core model to using a<br />

heterogeneous model.<br />

5.6. Effects <strong>of</strong> changing the coolant fraction<br />

The geometrical distribution <strong>of</strong> source neutrons in<br />

the fuel is dependent on the coolant fraction,<br />

especially for gas-cooled cores. To examine whether<br />

this has an impact on ψ*, cores with different pinpitch<br />

over diameter (P/D) were modeled for the He-<br />

MOX case. The level <strong>of</strong> subcriticality was kept<br />

constant by altering the radius. The results are<br />

displayed in Table 7.<br />

P/D 1.291 1.4 1.5 1.7 1.9<br />

ψ* 16.8 18.6 18.5 20.1 20.1<br />

- 10% 10% 19% 19%<br />

Table 7: ψ* for the He-MOX case, when P/D <strong>and</strong> consequently the<br />

coolant fraction is varied. A larger coolant fraction leads to higher<br />

proton source efficiency.<br />

When P/D is increased, the helium-filled paths to<br />

the outer parts <strong>of</strong> the core are widened, increasing the<br />

probability <strong>of</strong> source neutrons reaching further away<br />

from the spallation target leading to higher source<br />

efficiency. These observations confirm the results<br />

found when comparing the heterogeneous <strong>and</strong><br />

homogenous core models.<br />

Elsevier Science 7<br />

6. Conclusions<br />

Americium introduction in the fuel <strong>of</strong> a subcritical<br />

core decreases ψ*. This is why ψ* is around 10%<br />

lower in a core loaded with americium based fuels<br />

than in a core fuelled by MOX-fuel. ψ* is reduced by<br />

another 10% when helium is replaced by LBE.<br />

Both <strong>of</strong> these effects are due to the strong<br />

dependence <strong>of</strong> fission <strong>and</strong> capture cross-sections on<br />

incident neutron energy in the 1 MeV region in even-<br />

N nuclides <strong>and</strong> to their appearance in slightly shifted<br />

energy b<strong>and</strong>s.<br />

Acknowledgments<br />

This work was financially supported by the<br />

Swedish Centre for Nuclear Technology <strong>and</strong> by <strong>SKB</strong><br />

AB (Swedish Nuclear Fuel <strong>and</strong> Waste Management<br />

Co).<br />

References<br />

[1] ANSALDO NUCLEARE, “Core Design Summary Report for<br />

the LBE-Cooled XADS”, XADS 41 TNIX 064 Rev. 0<br />

(2004).<br />

[2] NNC LTD, “PDS-XADS Work Package 4.2 Deliverable 65:<br />

Core Design Summary”, C6862/TR/0028 (2004).<br />

[3] “A EU roadmap för developing <strong>accelerator</strong> <strong>driven</strong> systems<br />

(ADS) for nuclear waste incineration”, Technical report, The<br />

European Technical Working Group on ADS, ENEA (2001).<br />

[4] P. SELTBORG et al., “Definition <strong>and</strong> Application <strong>of</strong> Proton<br />

Source Efficiency in Accelerator Driven <strong>System</strong>s,” Nucl. Sci.<br />

Eng., 145, 390 (2003).<br />

[5] M. SALVATORES et al., “The Potential <strong>of</strong> Accelerator-<br />

Driven <strong>System</strong>s for Transmutation or Power Production<br />

Using Thorium or Uranium Fuel Cycles,” Nucl. Sci. Eng.,<br />

126, 333 (1997).<br />

[6] R. SOULE, M. SALVATORES, R. JACQMIN, “Validation<br />

<strong>of</strong> Neutronic Methods Applied to the Analysis <strong>of</strong> Fast Sub-<br />

Critical <strong>System</strong>s: The MUSE-2 Experiments,” GLOBAL’97,<br />

page 639 (1997).<br />

[7] P. SELTBORG <strong>and</strong> J. WALLENIUS, “Proton Source<br />

Efficiency for different Inert Matrix Fuels in Accelerator<br />

Driven <strong>System</strong>s,” Int. Meeting AccApp'03, June 1-5, 2003,<br />

San Diego, California, USA (2003).<br />

[8] W. S. YANG, L. MERCATALI et al., ”Effects <strong>of</strong> Buffer<br />

Thickness on ATW Blanket Performances”, Int. Meeting<br />

Accelerator Applications/Accelerator Driven Transmutation<br />

Technology <strong>and</strong> Applications ADTTA/AccApp’01,<br />

November 11-15, 2001, Reno, Nevada, USA (2001).

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