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containing FA with B 4<br />

C cladding is equal to -2.0%, and in the core with FA with zirconium hydride<br />

cladding -2.3%. In the hybrid two-zones reactor core the transmutation rate is equal to -2.2%.<br />

In Table 6 the mass of actinides at the BOC and after 1 FPY of fuel irradiation, as well as the<br />

burn-up rate B Pu<br />

(kg/FPY) for 239 Pu, are presented for different compositions of the reactor core:<br />

Table 6. Mass of actinides in the BOC and after 1 FPY of fuel irradiation<br />

in the reference core, in the core containing FA with B 4<br />

C, and FA with HZr.<br />

Time T = 0 (BOC) T = 360 days<br />

Core<br />

(Enr., %)<br />

Reference<br />

(23.2%)<br />

B 4<br />

C<br />

(43.7%)<br />

HZr<br />

(24%)<br />

Hybrid<br />

(23.2%)<br />

Reference<br />

(23.2%)<br />

B 4<br />

C<br />

(43.7%)<br />

HZr<br />

(24%)<br />

Hybrid<br />

(23.2)<br />

239<br />

Pu, kg 519.7 908.2 539.1 560.7 506.7 884.3 513.8 539.4<br />

B Pu<br />

, kg 0 0 0 0 -13.0 -23.9 -25.3 -21.3<br />

241<br />

Pu, kg 19.6 34.2 20.3 21.2 19.5 32.8 25.3 23.5<br />

241<br />

Am, kg 17.4 30.4 18.1 18.8 17.6 31.6 16.5 18.5<br />

Pu, Am, Cu, kg 750.0 1311.3 778.0 809.3 739.8 1284.8 759.9 791.3<br />

The burn-up rate of 239 Pu in FA with 10 B 4<br />

C or HZr is about two times higher than in the reference<br />

core. It should be noted that the burn-up rates of 239 Pu calculated using the MCNP-4b reaction rates<br />

(see Table 4) are slightly different from results in the above table, because we supposed that reaction<br />

rates remain constant during the time of irradiation. In the core with 10 B 4<br />

C the burn-up rate of 241 Pu is<br />

about -1.4 kg/FPY, while in the core with HZr the mass of 241 Pu is increased by 5 kg/FPY. The amount<br />

of 241 Am in the reference core is increased by 0.2 kg/FPY, in the core with 10 B 4<br />

C is increased by<br />

1.2 kg/FPY, while in the core with HZr the amount is reduced by -1.6 kg/FPY, or by -0.3 kg/FPY in<br />

the hybrid core.<br />

It should be noted that the effective cross-section of 10 B in FA with 10 B 4<br />

C is about 1.6 barn, and<br />

the maximum of the neutron spectrum is located in the energy region higher then 0.1 MeV. So, the<br />

burning of 10 B 4<br />

C cladding in the fuel element during fuel cycle is small. Nevertheless, the burning of<br />

10<br />

B 4<br />

C cladding was taken into account in the MCNP calculations. Production of fission fragments is<br />

comparable in all considered schemes of the reactor core: 0.002 kg of 135 Xe, 0.1 kg of 149 Sm, 1.0 kg of<br />

137<br />

Cs, 0.7 kg of 99 Tc, 0.2 kg of 129 I per 1 FPY. The effective absorption cross-section of 135 Xe in fuel<br />

elements with HZr is three orders of magnitude lower than in the thermal power reactors and is about<br />

1 800 barns, and samarium 149 Sm has effective cross-section of absorption equal to 80 barns. In<br />

calculations of reactivity loss during the fuel cycle the presence of all fission fragments were taken<br />

into account. Reactivity calculations were performed using the MCNP-4b code. In the reference core<br />

the reactivity loss ∆ρ during 1 FPY is equal to ∆ρ = -1.6%/FPY, in the core with HZr zone<br />

∆ρ = -2.0%/FPY, in the hybrid core with HZr ∆ρ = -1.8%/FPY, while in the core with<br />

10<br />

B 4<br />

C ∆ρ = –1.1 %/FPY.<br />

The dependence of proton beam current on k eff<br />

may be estimated using the simple formula:<br />

P<br />

r<br />

= I<br />

p<br />

k<br />

eff<br />

M<br />

( 1 − k )<br />

eff<br />

n , xn<br />

ν<br />

f<br />

× N<br />

n / p<br />

ε<br />

f<br />

,<br />

819

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