测点数量与位置对室内热源逆模型的影响分析  

Analysis of the Effects of the Number and Location of Measure Points on the Inverse Modelling for Indoor Heat Sources

作　　者：雷蕾 陈威 王宁 薛雨 LEI Lei;CHEN Wei;WANG Ning;XUE Yu(School of Architecture and Transportation Engineering, Guilin University of Electronic Technology,Guilin 541004, China;School of Civil Engineering, Dalian University of Technology, Dalian 116024, China)

机构地区：[1]桂林电子科技大学建筑与交通工程学院,桂林541004 [2]大连理工大学土木工程学院,大连116024

出　　处：《科学技术与工程》2018年第34期111-117,共7页Science Technology and Engineering

基　　金：国家自然科学基金(51708146);广西自然科学基金(2017GXNSFBA198148);桂林电子科技大学研究生教育创新计划(2018XWYJ01)资助

摘　　要：针对建筑室内热源逆模型中温度测点的选取是根据直觉或经验,而不是通过系统推导来确定的问题。采用矩阵奇异值分解和矩阵特征值分解原理,探讨温度测点数量与位置对室内热源逆模型的影响。将矩阵条件数和矩阵特征值之间建立函数关系,以逆模型中矩阵的最小条件数作为评判准则,优选温度测点数量与位置。应用该方法对一个三维通风空腔中的温度测点数量与位置进行分析。研究结果表明,通过该方法选取的温度测点可以提高热源逆模型的计算精度。The current temperature specification is determined by intuition or experience rather than by systematic derivation.This investigation proposes to evaluate the specification of temperature points using the eigenvalue decomposition to the governing matrix.A connection was established between the eigenvalues and the condition number of the matrix that describes the posedness of the problem.The effects of the number and locations of temperature points on the inverse solution were analyzed based on a three-dimensional ventilation enclosure.The results showed that the proposed inverse model provides accurate solutions with appropriately specified temperature points.

关 键 词：逆模型 传热 正则化逆矩阵 奇异值分解 特征值分解 

分 类 号：TU833.3[建筑科学—供热、供燃气、通风及空调工程]