A Transient Analytic Method of Thermionic Reactor: TOPAZ-II

Author(s):  
Gu Hu ◽  
Shouzhi Zhao ◽  
Keqiang Ruan

According to characteristics of TOPAZ-II reactor, a transient analytic method combined a nuclear reactor six-group point-kinetics model, a reactor core thermal-hydraulic model, a thermionic fuel element (TFE) performance model is established. Afterwards, establishment and debugging of this transient analytic code are completed. Verification results are reasonable agreement with reported American and Russian data. The code is original with the author.

2014 ◽  
Vol 24 (2) ◽  
pp. 129-154 ◽  
Author(s):  
Tomasz Karol Nowak ◽  
Kazimierz Duzinkiewicz ◽  
Robert Piotrowski

Abstract This paper presents results concerning solutions of the fractional neutron point kinetics model for a nuclear reactor. Proposed model consists of a bilinear system of fractional and ordinary differential equations. Three methods to solve the model are presented and compared. The first one entails application of discrete Grünwald-Letnikov definition of the fractional derivative in the model. Second involves building an analog scheme in the FOMCON Toolbox in MATLAB environment. Third is the method proposed by Edwards. The impact of selected parameters on the model’s response was examined. The results for typical input were discussed and compared.


Author(s):  
Han Zhang ◽  
Fu Li

The traditional solution of the coupled neutronics/ thermal-hydraulics problems has typically been performed by solving the individual field separately and then transferring information between each other. In this paper, full implicit integrate solution to the coupled neutronics/ thermal-hydraulic problem is investigated. There are two advantages compared with the traditional method, which are high temporal accuracy and stability. The five equations of single-phase flow, the solid heat conduction and the neutronics are employed as a simplified model of a nuclear reactor core. All these field equations are solved together in a tightly coupled, nonlinear fashion. Firstly, Newton-based method is employed to solve nonlinear systems due to its local second-order convergence rate. And then the Krylov iterative method is used to solve the linear systems which are from the Newton linearization. The two procedures above are the so-called Newton-Krylov method. Furthermore, in order to improve the performance of the Krylov method, physics-based preconditioner is employed, which is constructed by the physical insight. Finally, several Newton-Krylov solution approaches are carried out to compare the performance of the coupled neutronics / thermal-hydraulic equations.


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