原子能科学技术2024，Vol.58Issue(7)：1459-1466,8.DOI:10.7538/yzk.2023.youxian.0835
基于裂变矩阵的谐波计算及其在气冷微堆功率监测中的应用
Harmonic Calculation Based on Fission Matrix and Its Application in Power Monitoring of Gas-cooled Micro Reactor
申鹏飞 1张鹏 2周梦飞 2张成龙 2袁媛 2刘国明 2霍小东 2王侃3
作者信息
- 1. 中国核电工程有限公司,北京 100840||清华大学工程物理系,北京 100084
- 2. 中国核电工程有限公司,北京 100840
- 3. 清华大学工程物理系,北京 100084
- 折叠
摘要
Abstract
The development and deployment of an accurate and intelligent core online monitoring system are crucial for advancing micro nuclear reactors.The gas-cooled micro reactor,a prismatic super-safe gas-cooled reactor design for mobile micro nuclear power units,features a compact core capable of achieving megawatt-level thermal power and extended service life.Notably,it possesses inherent safety features such as automatic shutdown based solely on temperature feedback,ensuring safety even in accident conditions.However,due to constraints such as limited core volume and the harsh operating environment characterized by high temperatures and radiation levels within the reactor,the installation of in-core detectors is not feasible.As a result,only a limited number of ex-core detectors are utilized for power monitoring purposes.This study adopted the harmonic expansion method to reconstruct core power for the gas-cooled micro reactor.Initially,the Monte Carlo method was utilized to calculate high-order harmonics due to the complex geometry and energy spectrum.Specifically,the RMC Monte Carlo code constructed a precise 3D reactor model and tallied the fission matrix in criticality calculation mode.Then the eigen vectors of the fission matrix were calculated using the Rayleigh quotient iteration method.The high-order harmonics library of the core was then obtained by expanding the 3D power distribution of the core and selecting the main harmonics.Subsequently,Monte Carlo forward calculations determined the contribution of fission sources from each fuel assembly to external detector readings,yielding the detector response matrix.Based on the contribution rate of harmonics to power distribution reconstruction,suitable high-order harmonic groups were selected.Combining this matrix with the detector response allowed for online monitoring of core power distribution using the harmonic expansion method.The study also investigated the influence of temperature and fuel burnup variations,and control rod positions on power reconstruction accuracy.The results show that considering temperature and fuel burnup variations,the root mean square relative error between reconstructed power distribution and Monte Carlo simulation is below 3%,with a maximum relative error below 5%.The control rod position change has a greater impact on the reconstruction accuracy.By using harmonics from adjacent control rods for power reconstruction,the root mean square relative error is less than 3%.Overall,this study showcases the efficacy of using Monte Carlo methods to generate harmonics for online monitoring of micro reactor power distribution,providing valuable insights for the development of future online monitoring systems tailored for gas-cooled micro reactors.关键词
气冷微堆/裂变矩阵/谐波展开法/功率重构Key words
gas-cooled micro reactor/fission matrix/harmonic expansion method/power reconstruction分类
能源科技引用本文复制引用
申鹏飞,张鹏,周梦飞,张成龙,袁媛,刘国明,霍小东,王侃..基于裂变矩阵的谐波计算及其在气冷微堆功率监测中的应用[J].原子能科学技术,2024,58(7):1459-1466,8.
