基于动态模式分解的直流蒸汽发生器降阶建模  

Reduced Order Modeling of Once-through Steam Generator Based on Dynamic Mode Decomposition

作　　者：许依凡 彭敏俊[1] 夏庚磊[1] Xu Yifan;Peng Minjun;Xia Genglei(College of Nuclear Science and Technology,Harbin Engineering University,Harbin,150001,China)

机构地区：[1]哈尔滨工程大学核科学与技术学院,哈尔滨150001

出　　处：《核动力工程》2024年第3期85-94,共10页Nuclear Power Engineering

摘　　要：直流蒸汽发生器(OTSG)的运行特性对反应堆的安全有重要影响。大尺度、精细化的仿真模型为OTSG热工水力特性和安全分析提供高保真的模拟结果,但也对计算资源提出了挑战。带控制的动态模式分解(DMDc)是一种数据驱动的模型降阶(MOR)方法,其在动态模式分解(DMD)的基础上能够为含控制输入的系统建立低维的、准确的输入输出模型以替代高保真模型进行快速计算。考虑到实际运行中如蒸汽压力等OTSG热工参数受反应堆控制系统影响,利用RELAP5程序建立的全阶模型获取了OTSG在快速降负荷和快速升负荷工况下的主要热工参数的高保真模拟结果,基于DMDc建立了OTSG的降阶模型(ROM)。结果表明DMDc能够提取OTSG在变负荷工况下的动态特性,ROM的计算结果与全阶模型之间的最大相对误差小于2%。此外,对比了DMDc与DMD方法对OTSG降阶建模的效果,证明了DMDc方法的优越性。The operation characteristics of once-through steam generator(OTSG)have an important influence on the safety of the reactor.The large-scale and refined simulation model provides high fidelity simulation results for the thermal hydraulic characteristics and safety analysis of OTSG,but it also challenges the computing resources.Dynamic Mode Decomposition with Control(DMDc)is a data-driven model order reduction(MOR)method,which can establish a lowdimensional and accurate input-output model for the system with control inputs on the basis of dynamic mode decomposition(DMD)to replace the high-fidelity model for fast calculation.Considering that the thermal parameters of OTSG,such as steam pressure,are affected by the reactor control system in actual operation,the full-order model established by RELAP5 is used to obtain the high-fidelity simulation results of the main thermal parameters of OTSG under the conditions of rapid load reduction and rapid load increase,and the reduced-order model(ROM)of OTSG is established based on DMDc.The results show that DMDc can extract the dynamic characteristics of OTSG under variable load conditions,and the maximum relative error between the calculation results of reduced-order model and the full-order model is less than 2%.In addition,the effects of DMDc and DMD methods on OTSG reduced-order modeling are compared,which proves the superiority of DMDc method.

关 键 词：直流蒸汽发生器(OTSG) 动态模式分解(DMD) 带控制的动态模式分解(DMDc) 模型降阶(MOR) 

分 类 号：TL334[核科学技术—核技术及应用]