Research Article
A New Precursor Integral Method for Solving Space-Dependent Kinetic Equations in Neutronic and Thermal-Hydraulic Coupling System
Table 2
Comparison of relative power (percentage error) between independent precursor methods and precursor integral methods for step reactivity insertion.
| | | Reference | Independent variables | Zero-order Taylor expansion | First-order Taylor expansion | Exponential expansion |
| 0.0 | — | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 0.1 | 10.0 | 2.06156 | 2.06046 (−5.3e − 2) | 2.05874 (−1.4e − 1) | 2.05960 (−9.5e − 2) | 2.05963 (−9.3e − 2) | 20.0 | — | 2.05693 (−2.2e − 1) | 2.05355 (−3.9e − 1) | 2.05524 (−3.1e − 1) | 2.05526 (−3.0e − 1) | 0.2 | 10.0 | 2.07887 | 2.07888 (−4.8e − 4) | 2.07712 (−8.4e − 2) | 2.07800 (−4.1e − 2) | 2.07803 (−4.0e − 1) | 20.0 | — | 2.07888 (−4.8e − 4) | 2.07535 (−1.7e − 1) | 2.07712 (−8.4e − 2) | 2.07714 (−8.3e − 2) | 0.3 | 10.0 | 2.09625 | 2.09627 (+9.5e − 4) | 2.09447 (−8.5e − 2) | 2.09538 (−4.2e − 2) | 2.09541 (−4.0e − 2) | 20.0 | — | 2.09630 (+2.4e − 3) | 2.09270 (−1.7e − 1) | 2.09451 (−8.3e − 2) | 2.09453 (−8.2e − 2) | 0.4 | 10.0 | 2.11378 | 2.11381 (+1.4e − 3) | 2.11197 (−8.6e − 2) | 2.11290 (−4.1e − 2) | 2.11293 (−4.0e − 2) | 20.0 | — | 2.11384 (+2.8e − 3) | 2.11017 (−1.7e − 1) | 2.11203 (−8.2e − 2) | 2.11205 (−8.1e − 2) | 0.5 | 10.0 | 2.13146 | 2.13150 (+1.8e − 3) | 2.12962 (−8.6e − 2) | 2.13057 (−4.1e − 2) | 2.13060 (−4.0e − 2) | 20.0 | — | 2.13153 (+3.3e − 3) | 2.12779 (−1.7e − 2) | 2.12969 (−8.3e − 2) | 2.12971 (−8.2e − 2) |
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