摘要
利用声学测量技术进行锅炉炉膛温度场测量时,重建算法是实现炉膛温度场重建的关键。而在基于像素分割的重建算法中,准确、快速求解飞渡时间矩阵方程是重点及难点。对于求解大型稀疏矩阵方程问题,GMRES(广义极小残差法)效果比较好,尤其是针对大型稀疏非对称矩阵的求解问题。本研究将GMRES算法应用于锅炉炉膛三维温度场重建过程中,并利用MATLAB软件对单峰对称和单峰偏斜两种三维理想温度场模型进行了计算机仿真重建。研究表明:该算法重建精度高、速度快,可用于锅炉炉内三维温度场重建过程。
In the measurement of the temperature field in the furnace of a boiler by using the acoustic method,the reconstruction algorithm is regarded as the key to reconstructing the temperature field in the furnace while in the reconstruction algorithm based on the pixel segmentation,to accurately and quickly seek the solutions to the TOF( time of flight) time matrix equation is deemed as the focal work and difficult point. For a problem to seek solutions to the large-sized sparse matrix equation,the generalized minimal residual method( GMRES) can achieve a relatively good result,especially for a problem to seek solutions to the large-sized sparse non-symmetrical matrix equation. The authors applied the GMRES algorithm in the reconstruction of the three-dimensional temperature field in the furnace of a boiler and utilized the Matlab software to simulate and reconstruct on a microcomputer the two kinds of three-dimensional ideal temperature field model,i. e. single peak symmetrical and single peak biased. It has been found that the algorithm in question enjoys a high reconstruction precision and a quick speed,applicable for the recon-struction process of the three-dimensional temperature field inside a boiler.
出处
《热能动力工程》
CAS
CSCD
北大核心
2015年第1期88-94,166-167,共7页
Journal of Engineering for Thermal Energy and Power
基金
北京高等学校青年英才计划基金资助项目(YETP0700)
中央高校基本科研业务费专项资金项目(2014MS10)
关键词
声学法
温度场重建算法
GMRES算法
acoustic method,tempera-ture field reconstruction algorithm,GMRES algorithm
