A Fast Reactor Transient Analysis Methodology for Personal Computers
| Autor: | K. O. Ott |
|---|---|
| Rok vydání: | 1993 |
| Předmět: |
Mathematical model
010308 nuclear & particles physics 0211 other engineering and technologies Finite difference method 02 engineering and technology 01 natural sciences Convolution Quadratic equation Nuclear Energy and Engineering 0103 physical sciences Personal computer Calculus Applied mathematics Initial value problem Transient (computer programming) Heat equation 021108 energy Mathematics |
| Zdroj: | Nuclear Science and Engineering. 113:122-135 |
| ISSN: | 1943-748X 0029-5639 |
| DOI: | 10.13182/nse93-a24002 |
| Popis: | A simplified model for a liquid-metal-cooled reactor (LMR) transient analysis, in which point kinetics as well as lumped descriptions of the heat transfer equations in all components are applied, is converted from a differential into an integral formulation. All 30 differential balance equations are implicitly solved in terms of convolution integrals. The prompt jump approximation is applied as the strong negative feedback effectively keeps the net reactivity well below prompt critical. After implicit finite differencing of the convolution integrals, the kinetics equation assumes a new form, i.e., the quadratic dynamics equation. In this integral formulation, the initial value problem of typical LMR transients can be solved with large item steps (initially 1 s, later up to 256 s). This then makes transient problems amenable to a treatment on personal computer. The resulting mathematical model forms the basis for the GW-BASIC program LMR transient calculation (LTC) program. The LTC program has also been converted to QuickBASIC. The running time for a 10-h transient overpower transient is then [approximately]40 to 10 s, depending on the hardware version (286, 386, or 486 with math coprocessors). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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