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JAEA-Conf 2011-002 - 日本原子力研究開発機構

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<strong>JAEA</strong>-<strong>Conf</strong> <strong>2011</strong>-<strong>002</strong><br />

- pin pitch : 1.265 cm,<br />

-<br />

-<br />

fuel pellet radius : 0.412 cm,<br />

outer radius of cladding region : 0.476 cm.<br />

<br />

Fuel depletion calculations are performed with a<br />

linear heat rating of 179 W/cm till 45 GWd/t and are<br />

followed by a cooling time of five years.<br />

Resonance self-shielded cross sections are<br />

generated with the equivalence theory using a<br />

107-group library based on JENDL-4.0. With the<br />

region-wise 107-group cross sections, eigenvalue<br />

calculations are performed with the collision probability method. White boundary conditions are<br />

assigned to reduce a computational cost. The above resonance and eigenvalue calculations are<br />

performed at depletion steps, 0, 0.1, 1, 2.5, 5, 7.5, 10, 12.5, 15, 17.5, 20, 22.5, 25, 27.5, 30, 32.5, 35,<br />

37.5, 40, 42.5 and 45 GWd/t. Depletion calculations are carried out by the Pade method with<br />

twenty depletion sub-steps for each depletion step. Figure 1 shows a burn-up chain for heavy<br />

nuclides utilized in the present study. This chain is almost the same as that of the SRAC code.<br />

Table 1 Initial number densities of fuel<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

Fig. 1 Burn-up chain for heavy nuclides<br />

Sensitivity calculations are performed with the depletion perturbation theory for the neutron<br />

flux and nuclide density coupled field. The target of the sensitivity calculations is<br />

concentrations of curium isotopes after 45 GWd/t burn-up and 5-year cooling time. The<br />

sensitivities of the concentrations are calculated to fission and capture cross sections and<br />

half-lives of heavy nuclides. While we obtain energy group-wise sensitivities, we show<br />

one-group-integrated sensitivities in order to ease a comparison.<br />

4. Numerical results<br />

Figure 2 shows one-group sensitivities to fission and capture cross sections of major actinides.<br />

The following are observed in this figure:<br />

- Negative sensitivities to fission cross sections are observed. When a fission cross section<br />

increases, the neutron flux level decreases since the heat rating is constant. That results in

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