1. NAME AND TITLE

ABLEIT-TRANS: Error Propagation Analysis for Burnup Calculation

2. CONTRIBUTORS

Institut f. Elektrische Anlagen und Energiewirtschaft, Rheinisch-Westfalische Technische Hochschule Aachen, Lehrauftrag Leistungsreaktoren, Federal Republic of Germany.

OECD NEA Data Bank, Gif-sur-Yvette, France.

3. CODING LANGUAGE AND COMPUTER

Fortran; CYBER 175/740.

4. NATURE OF PROBLEM SOLVED

Error propagation for burnup calculations.

5. METHOD OF SOLUTION

The probability density functions of the nuclide concentrations are characterized by their first four moments. These moments are calculated from the density functions of the statistically independent random data (nuclear cross sections and decay constants). The calculation uses Taylor series expansion for the nuclide concentrations up to a user-specified order of n, constructed from generalized burnup equations. The derivatives are also used for the computation of sensitivity coefficients.

6. RESTRICTIONS OR LIMITATIONS

Only statistically independent random data are allowed. The maximum number of random data allowed is 28. The number of differential equations is limited to 580 (depending on available core storage).

7. TYPICAL RUNNING TIME

The test problem (22 random data, maximal order for Taylor Series n=2) requires about 4 CP-seconds for ABLEIT (calculation of derivatives) and about 20 CP-seconds for TRANS (calculation of moments) on the CDC-CYBER 175. (Fortran 5.1 compiler, OPT=2).

8. COMPUTER HARDWARE REQUIREMENTS

ABLEIT-TRANS is operable on the CDC-CYBER 175 computer. About 150,000 octal words of main storage are required. To run the test cases of this package on a CDC CYBER-740 computer main storage requirements are 150,100 (octal) words (CM) for ABLEIT, and 65,200 (octal) words (CM) for TRANS.

9. COMPUTER SOFTWARE REQUIREMENTS

Fortran FTN 5.1 compiler, OPT=2.

10. REFERENCE

K. W. Zerressen and H. D. Beims, "Kurzbeschreibung der ABLEIT-TRANS," (1983) (In German).

11. CONTENTS OF CODE PACKAGE

Included are the referenced document and one (1.2MB) DOS diskette which contains the source code plus sample problem input and output.

12. DATE OF ABSTRACT

August 1987.