International Journal of Nuclear Energy / 2013 / Article / Tab 6 / Research Article
Generalized and Stability Rational Functions for Dynamic Systems of Reactor Kinetics Table 6 Neutron density of benchmark 5: compensated response to ramp function reactivity changes with prompt neutron generation time, Λ = 5 * 10−4 sec, and shutdown coefficients are in the range of 10−11 cm3 /sec to 10−13 cm3 /sec.
Method First peak Time to the first peak First asymptotic neutron density 0.1 1 × 10−11 PWS 2.4238380 × 1011 0.224000 1.0066510 × 1010 GRK4-A 2.4649574 × 1011 0.22626 1.0066499 × 1010 GRK4-T 2.4652371 × 1011 0.22626 1.0066500 × 1010 GRK4-H 2.4654628 × 1011 0.22626 1.0066501 × 1010 Padé 11 2.4238380 × 1011 0.22400 1.0060053 × 1010 1 × 10−13 PWS 2.8666680 × 1013 0.23890 1.0066520 × 1012 GRK4-A 2.9580990 × 1013 0.24066 1.0066480 × 1012 GRK4-T 2.9580157 × 1013 0.24066 1.0066480 × 1012 GRK4-H 2.9577276 × 1013 0.24066 1.0066482 × 1012 Padé 11 2.8929486 × 1013 0.23800 1.0066439 × 1012 0.01 1 × 10−11 PWS 2.0064900 × 1010 1.10617 1.0263960 × 109 GRK4-A 2.0232131 × 1010 1.10736 1.0246410 × 109 GRK4-T 2.0232020 × 1010 1.10736 1.0246424 × 109 GRK4-H 2.0232065 × 1010 1.10736 1.0246394 × 109 Padé 11 2.0120302 × 1010 1.10600 1.0255595 × 109 1 × 10−13 PWS 2.4831920 × 1012 1.15528 9.6705500 × 1010 GRK4-A 2.5061997 × 1012 1.15668 9.6374374 × 1010 GRK4-T 2.5061921 × 1012 1.15668 9.6374817 × 1010 GRK4-H 2.5061852 × 1012 1.15668 9.6374301 × 1010 Padé 11 2.4909973 × 1012 1.15500 9.6629450 × 1010 0.001 1 × 10−11 PWS 1.2652650 × 109 7.48864 1.9212660 × 108 GRK4-A 1.2760915 × 109 7.48728 1.9207147 × 108 GRK4-T 1.2761036 × 109 7.48728 1.9207122 × 108 GRK4-H 1.2760943 × 109 7.48728 1.9206984 × 108 Padé 11 1.2740050 × 109 7.48864 1.9282197 × 108 1 × 10−13 PWS 1.7068560 × 1011 7.68362 2.0046470 × 1010 GRK4-A 1.7245128 × 1011 7.68204 2.0040163 × 1010 GRK4-T 1.7245159 × 1011 7.68204 2.0040077 × 1010 GRK4-H 1.7245002 × 1011 7.68204 2.0039905 × 1010 Padé 11 1.7209210 × 1011 7.68263 2.0067995 × 1010
