基于膨胀变换的单相自然循环动态比例分析方法研究  

Study on the Dynamical Scaling Analysis Method of Single-phase Natural Circulation Based on Dilation Transformation

作　　者：李向宾[1,2] 徐嘉宁 刘宇生 杨帅 冯明聪 吴樵 LI Xiangbin;XU Jianing;LIU Yusheng;YANG Shuai;FENG Mingcong;WU Qiao(North China Electric Power University,Beijing 102206,China;Beijing Key Laboratory of Passive Safety Technology for Nuclear Energy,Beijing 102206,China;Nuclear and Radiation Safety Center,Beijing 100082,China;Oregon State University,Corvallis 97331,USA)

机构地区：[1]华北电力大学核科学与工程学院,北京102206 [2]非能动核能安全技术北京市重点实验室,北京102206 [3]生态环境部核与辐射安全中心,北京100082 [4]俄勒冈州立大学,科瓦利斯97331,美国

出　　处：《核科学与工程》2023年第5期1064-1072,共9页Nuclear Science and Engineering

摘　　要：为进一步深入了解动态系统比例分析理论,以单相自然循环系统为研究对象,研究了基于膨胀变换的新型动态比例分析方法,获得了固定长度比例下不同膨胀数所对应的相似数组,并利用RELAP5程序计算了简单矩形环路内对应工况时的自然循环特性,分析了对应关键参数及相似准则数的变化规律。结果发现:在大部分工况下,整个动态过程中模型和原型系统的质量流量误差与冷热段温差误差均在较小范围内;当膨胀数由0.5到1.0增大的过程中,缩比工况的归一化质量流量与归一化温差变化趋势与原型工况逐渐接近,同时流量误差与温差误差均逐渐减小。基于单一膨胀数方法所得的自然循环相似准则数组中,热源数是决定性准则数,而理查森数和斯坦顿数均为非决定性准则数。In order to further understand the dynamical scaling process,a new dynamical system scaling method based on the dilation transformation is developed.The similarity criteria corresponding to different dilation numbers are obtained under fixed length ratio,the characteristics of single-phase natural circulation in a simple rectangular loop are simulated by using the RELAP5 program,and the internal variation related to key parameters and similarity criteria are analyzed. It is found that the relative errors of the mass flow and the temperatur edifference between the prototype and model systems are in a small range under most conditions.When the expansion number increases from 0.5 to 1.0, the normalized mass flow rate andnormalized temperature difference of the reduced ratio condition are gradually close to those ofthe prototype condition. At the same time, both the flow error and the temperature differenceerror gradually decrease. The heat source number is the decisive one among the similaritycriteria numbers based on the single dilation number. However, the Richardson number andStanton number are both non-decisive ones.

关 键 词：膨胀变换 动态比例分析 单相自然循环 比例偏差 

分 类 号：TL333[核科学技术—核技术及应用]