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NESC0168 INVERSE KINETICS

R-102, 1 Group Space-Independent Inverse Reactor Kinetics

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1. NAME OR DESIGNATION OF PROGRAM:  INVERSE KINETICS(R102)
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2. COMPUTERS
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Program name Package id Status Status date
R-102 NESC0168/01 Tested 01-OCT-1976

Machines used:

Package ID Orig. computer Test computer
NESC0168/01 IBM 370 series IBM 370 series
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3. DESCRIPTION OF PROBLEM OR FUNCTION

Given the space-independent, one energy group reactor kinetics equations and the initial conditions, this program determines the time variation of reactivity required to produce the given input of flux-time data.
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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.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

Maxima of -
     50 delay groups
   1000 data points
     99 data blocks
(A data block is a sequence of input points characterized by a fixed time-interval between points, a smoothing option, and a number of repetitions of the smoothing option.)
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6. TYPICAL RUNNING TIME:
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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.
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8. RELATED AND AUXILIARY PROGRAMS

This program supercedes RE138 and RE171, ANL IBM704 programs.
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9. STATUS
Package ID Status date Status
NESC0168/01 01-OCT-1976 Tested at NEADB
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10. REFERENCES

Precursor library in program is from ANL-5800, Second
Edition, Reactor Physics Constants, July 1963.
             J. J. Kaganove, ANL-AMD  Program Library Report R102,
June 1965.
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11. MACHINE REQUIREMENTS:
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NESC0168/01 FORTRAN-IV
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:   OS/360.
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:
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15. NAME AND ESTABLISHMENT OF AUTHOR

                 J. J. Kaganove
                 Applied Mathematics Division
                 Argonne National Laboratory
                 9700 South Cass Avenue
                 Argonne, Illinois  60439
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16. MATERIAL AVAILABLE
NESC0168/01
File name File description Records
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
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17. CATEGORIES
  • E. Space-Independent Kinetics

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