基于源项展开法的瞬态多群精细功率重构研究

基金项目: 国家自然科学基金（12005164）

Research on Transient Multi-Group Pin-Power Reconstruction Based on Source Expansion Method

School of Nuclear Science and Technology, Xi’an Jiaotong University, Xi’an, 710049, China

摘要: 研究了压水堆瞬态多群精细功率重构的计算方法，从瞬态固定源方程出发，将瞬态固定源项表示成双二次勒让德多项式的形式，通过全堆的迭代求解实现精细功率重构。将该方法应用于堆芯物理程序SPARK中，并采用TWIGL瞬态基准题验证瞬态多群精细功率重构的准确性。数值结果表明，本文提出的压水堆瞬态多群精细功率重构方法具有很高的计算精度。
- 瞬态多群精细功率重构 /
- 瞬态固定源方程 /
- SPARK程序 /
- 瞬态计算
Abstract: This paper studies the calculation method of transient multi-group pin-power reconstruction of PWR. Starting from the transient fixed-source equation, the transient fixed-source term is expressed in the form of biquadratic Legendre polynomial, and the pin-power reconstruction is realized through the iterative solution of the whole reactor. The method is applied to the core physics code SPARK, and the TWIGL transient benchmark task is used to verify the accuracy of transient multi-group pin-power reconstruction. Numerical results show that the PWR transient multi-group pin-power reconstruction method proposed in this paper has high computational accuracy.
- Transient multi-group pin-power reconstruction /
- Transient fixed-source equation /
- SPARK code /
- Transient calculation

图 1 9节块问题示意图

Figure 1. Nine-node Problem Sketch

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图 2 瞬态多群精细功率重构流程图

Figure 2. Flowchart of Transient Multi-group Pin-Power Reconstruction

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图 3 TWIGL基准题堆芯布置

Figure 3. TWIGL Benchmark Task Core Configuration

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图 4 TWIGL基准题阶跃反应性引入结果

Figure 4. TWIGL Benchmark Task Step Reactivity Introduction Result

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图 5 阶跃反应性引入在t=0.5 s时相对偏差

Figure 5. Relative Deviation of Step Reactivity Introduction at t=0.5 s

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图 6 TWIGL基准题线性反应性引入结果

Figure 6. TWIGL Benchmark Task Linear Reactivity Introduction Result

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图 7 线性反应性引入在t=0.5 s时相对偏差

Figure 7. Relative Deviation of Linear Reactivity Introduction at t =0.5 s

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[1]	谢仲生. 核反应堆物理数值计算[M]. 北京: 原子能出版社, 1997: 117-141.
[2]	竹生东,谢仲生. 燃料组件内精细功率的重构[J]. 西安交通大学学报,2000, 34(5): 32-36. doi: 10.3321/j.issn:0253-987X.2000.05.008
[3]	BÖER R, FINNEMANN H. Fast analytical flux reconstruction method for nodal space-time nuclear reactor analysis[J]. Annals of Nuclear Energy, 1992, 19(10-12): 617-628. doi: 10.1016/0306-4549(92)90006-W
[4]	JOO H G, YOON J I, BAEK S G. Multigroup pin power reconstruction with two-dimensional source expansion and corner flux discontinuity[J]. Annals of Nuclear Energy, 2009, 36(1): 85-97. doi: 10.1016/j.anucene.2008.10.003
[5]	万承辉, 李云召, 郑友琦, 等. 压水堆燃料管理软件Bamboo-C研发及工业确认[J]. 核动力工程, 2021, 42(5): 15-22
[6]	BANDINI B R. A three-dimensional transient neutronics routine for the TRAC-PF1 reactor thermal hydraulic computer code[D]. Pennsylvanis: Pennsylvanis State University, 1990.