Computer Programs

NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROBLEM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHOR, MATERIAL, CATEGORIES

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Program name | Package id | Status | Status date |
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R-102 | NESC0168/01 | Tested | 01-OCT-1976 |

Machines used:

Package ID | Orig. computer | Test computer |
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NESC0168/01 | IBM 370 series | IBM 370 series |

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4. METHOD OF SOLUTION

Time derivatives of neutron density are obtained by application of (a) five-point quartic, (b) three-point parabolic, (c) five-point least-mean-square cubic, (d) five-point least-mean-square parabolic, or (e) five-point least-mean-square linear formulae to the neutron density or to the natural logarithm of the neutron density. Between each data point the neutron density is assumed to be (a) exponential*(third-order polynomial), (b) exponential, or (c) linear. Changes in reactivity between data points are obtained algebraically from the kinetics equations, neutron density derivatives, and the algebraic representation of neutron density. First and second time derivatives of the reactivity are obtained by use of any of the formulae applicable to the neutron density.

Time derivatives of neutron density are obtained by application of (a) five-point quartic, (b) three-point parabolic, (c) five-point least-mean-square cubic, (d) five-point least-mean-square parabolic, or (e) five-point least-mean-square linear formulae to the neutron density or to the natural logarithm of the neutron density. Between each data point the neutron density is assumed to be (a) exponential*(third-order polynomial), (b) exponential, or (c) linear. Changes in reactivity between data points are obtained algebraically from the kinetics equations, neutron density derivatives, and the algebraic representation of neutron density. First and second time derivatives of the reactivity are obtained by use of any of the formulae applicable to the neutron density.

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7. UNUSUAL FEATURES OF THE PROGRAM

This program has been used for the determination of feedback parameters, control rod design, and evaluation of control rod worth. Various modes of solution allow high precision with analytic data or the analysis of digitalized data from recording equipment. Smoothing of input data may be obtained by single or repeated application of five-point cubic, five-point parabolic, three-point linear, or five-point linear least-mean-square smoothing formulae. Tabular output includes excess reactivity, its first and second derivatives, input and smoothed input data, integral of neutron density, and instantaneous period. Precursor data may be input or obtained from the program library. Steady-state initial conditions may be specified by input of a constant reactivity or period. Non-steady-state conditions require precursor density information. Discontinuous changes in reactivity may be given as input or calculated by the program. Any number of reruns with varying solution modes and smoothing options may be scheduled.

This program has been used for the determination of feedback parameters, control rod design, and evaluation of control rod worth. Various modes of solution allow high precision with analytic data or the analysis of digitalized data from recording equipment. Smoothing of input data may be obtained by single or repeated application of five-point cubic, five-point parabolic, three-point linear, or five-point linear least-mean-square smoothing formulae. Tabular output includes excess reactivity, its first and second derivatives, input and smoothed input data, integral of neutron density, and instantaneous period. Precursor data may be input or obtained from the program library. Steady-state initial conditions may be specified by input of a constant reactivity or period. Non-steady-state conditions require precursor density information. Discontinuous changes in reactivity may be given as input or calculated by the program. Any number of reruns with varying solution modes and smoothing options may be scheduled.

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NESC0168/01

File name | File description | Records |
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NESC0168_01.001 | INFORMATION | 2 |

NESC0168_01.002 | SOURCE PROGRAM (F4) EBCDIC | 825 |

NESC0168_01.003 | SAMPLE PROBLEM INPUT DATA | 525 |

NESC0168_01.004 | SAMPLE PROBLEM PRINTED OUTPUT | 431 |

Keywords: control rod worths, delayed neutron precursors, feedback, reactivity, reactor kinetics.