基于POD-RBF降阶模型的超高温气冷堆DLOFC事故温度时空分布计算方法  

POD-RBF Based ROM Method to Calculate Temporal-Spatial Temperature Distribution under DLOFC Accident for VHTR

作　　者：丁永旺 张汉[1] 彭杵真 邬颖杰 郭炯[1] 彭威[1] 张平[1] 李富[1] Ding Yongwang;Zhang Han;Peng Chuzhen;Wu Yingjie;Guo Jiong;Peng Wei;Zhang Ping;Li Fu(Institute of Nuclear and New Energy Technology,Tsinghua University,Beijing,100084,China)

机构地区：[1]清华大学核能与新能源技术研究院,北京100084

出　　处：《核动力工程》2025年第2期107-118,共12页Nuclear Power Engineering

基　　金：国家重点研发项目(2022YFB1903000);国家自然科学基金面上项目(12275150)。

摘　　要：超高温气冷堆(VHTR)具有核能制氢等广泛的应用领域,失冷失压(DLOFC)事故是VHTR后果最严重的设计基准事故之一,而利用全阶模型(FOM)进行大量不同参数下的DLOFC事故特性分析需要消耗大量的计算资源。对设计参数范围内的不同方案进行基于降阶模型(ROM)的DLOFC事故的快速、准确计算具有重要需求和意义。本文利用TINTE程序建立了VHTR的FOM,基于本征正交分解-径向基函数插值(POD-RBF)方法实现了一个快速计算VHTR-DLOFC事故的ROM,并给出了两种方法来实现ROM的瞬态过程计算,方法1将时间等同于入口温度等输入参数;方法2对于同一参数下的不同时间步的系数整体进行计算。结果表明,两种ROM方法的计算结果最大相对误差均低于1%,且ROM计算效率远高于FOM;同时方法2的计算效率是方法1的40倍。因此,ROM可以为VHTR设计参数的优化工作提供快速计算程序。Very High-Temperature Gas-cooled Reactor(VHTR)has a wide range of applications such as hydrogen production by nuclear energy.Depressurized Loss of Forced Cooling(DLOFC)accident is one of the most serious design basis accidents of VHTR.It may cause large computational cost to analyze the DLOFC accident with large amount of different input parameters using the Full Order Model(FOM).Based on Reduced Order Model(ROM),it is of great demand and significance to calculate DLOFC accidents quickly and accurately for different schemes within the design parameters.In this paper,the FOM of VHTR is established by the code TINTE,and a ROM for fast calculation of the DLOFC accident of VHTR is realized based on Proper Orthogonal Decomposition-Radial Basis Function Interpolation(POD-RBF)method.Two methods are given to realize the transient process calculation of ROM.Method 1 equates time with input parameters such as inlet temperature;Method 2 calculates the coefficients of different time steps under the same parameter as a whole.The results show that the maximum relative error of both ROM methods is less than 1%,and the computation efficiency of ROMs is much higher than that of FOM.Furthermore,the computational efficiency of Method 2 is 40 times that of Method 1.Therefore,the ROM proposed in this paper can provide a fast calculation code for the optimization of design parameters of VHTR.

关 键 词：超高温气冷堆(VHTR) 本征正交分解(POD) 径向基函数(RBF)插值 降阶模型(ROM) 

分 类 号：TL33[核科学技术—核技术及应用]