Research Article
Generalized and Stability Rational Functions for Dynamic Systems of Reactor Kinetics
Table 4
Neutron density of benchmark 2: Ramp reactivity insertion
for thermal reactor and
for fast reactor.
| (a) |
| | Time (sec) | MAPLE | CORE (C) | PCA | EPCA | Padé (P) | Percentage errors (C-P)/C |
| | 2 | 1.3382 | 1.3382 (00) | 1.338200434 (00) | 1.338200050 (00) | 1.338196072 (00) | 2.935 (−4) | | 4 | 2.2284 | 2.2285 (00) | 2.228442526 (00) | 2.228441897 (00) | 2.228435296 (00) | 2.903 (−3) | | 6 | 5.5820 | 5.5822 (00) | 5.582053977 (00) | 5.582052450 (00) | 5.582036367 (00) | 2.931 (−3) | | 8 | 4.2783 (01) | 4.2790 (01) | 4.278630638 (01) | 4.278629574 (01) | 4.278618740 (01) | 9.910 (−3) | | 10 | 4.5116 (05) | 4.5391 (05) | 4.511636225 (05) | 4.511636240 (05) | 4.511647526 (05) | −6.048 (−1) |
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| (b) |
| | Time (sec) | CATS | PCA | EPCA (E) | Padé (P) | Percentage errors (E-P)/E |
| | 0.01 | 1.010097111 (00) | 1.010098578 (00) | 1.010097112 (00) | 1.009610584 (00) | −4.817 (−2) | | 0.1 | 1.113320112 (00) | 1.113321641 (00) | 1.113320113 (00) | 1.112733108 (00) | −5.273 (−2) | | 0.2 | 1.260559925 (00) | 1.260561549 (00) | 1.260559925 (00) | 1.259817235 (00) | −5.892 (−2) | | 0.5 | 2.136409107 (00) | 2.136411382 (00) | 2.136409108 (00) | 2.134468802 (00) | −9.082 (−2) | | 1.0 | 1.207814197 (03) | 1.207814360 (03) | 1.207814198 (03) | 1.203402181 (03) | −3.653 (−1) | | 1.1 | 3.257593355 (99) | 3.257552723 (99) | 3.257593356 (99) | 3.196193006 (99) | 1.882 (00) | | 1.15 | 1.028975360 (219) | 1.028957612 (219) | 1.028975360 (219) | 1.009691369 (219) | 1.874 (00) |
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