基于二维吸收光谱重建的数值迭代算法的比较  

Comparison of Numerical Iterative Algorithms for Two-Dimensional Absorption Spectral Reconstruction

作　　者：张立芳 杨艳霞 赵贯甲[1] 马素霞[1] 郭学茂[2] ZHANG Li-fang;YANG Yan-xia;ZHAO Guan-jia;MA Su-xia;GUO Xue-mao(Department of Thermal Engineering,College of Electrical and Power Engineering,Taiyuan University of Technology,Taiyuan 030024,China;Post-Doctoral Scientific Research Workstation of Taiyuan Boiler Group Co.Ltd.,Taiyuan 030024,China)

机构地区：[1]太原理工大学电气与动力工程学院热能工程系,山西太原030024 [2]太原锅炉集团有限公司,山西太原030024

出　　处：《光谱学与光谱分析》2023年第5期1367-1375,共9页Spectroscopy and Spectral Analysis

基　　金：国家自然科学基金项目(51976132)资助。

摘　　要：基于可调谐激光吸收光谱的二维温度和浓度分布重建对于燃烧诊断具有重要意义,而数值迭代算法在温度和组分浓度的重建中起着重要作用。通过对比发现自适应迭代算法和最小二乘QR分解算法对于重建二维温度和气体浓度分布具有很好的优势。研究表明,波长7 154.35, 7 153.75, 7 185.60和7 444.36 cm^(-1)四条H_(2)O的吸收谱线,非常适合测量高温预混火焰中的温度和水蒸气浓度分布。与7 444.36, 7 185.60, 7 154.35和7 153.75 cm^(-1)处的吸收谱线相比,CO_(2)和CH_(4)的光谱吸光非常微弱,在该波段O_(2)和CO基本没有吸收,因此燃烧环境中CO_(2), CH_(4), O_(2)和CO等气体对于H_(2)O吸收谱线基本没有影响。通过比较不同算法的最优松弛因子、计算时间和重建误差等,发现与最小二乘QR分解算法相比,自适应迭代算法具有更好的重建质量和更短的计算时间。在自适应迭代算法的基础上进一步比较了不同吸收线对(7 444.36和7 185.60, 7 154.35和7 153.75 cm^(-1))在射线束为16, 32, 48和64时的二维重建结果。结果表明,采用吸收谱线7 153.75和7 154.35 cm^(-1)得到的重建结果优于吸收谱线7 185.60和7 444.36 cm^(-1)的重建结果。随着激光束的增加,重建结果越来越接近模型假定的温度和浓度分布。考虑到有限的测量空间和重建精度,分析认为32束的光路布置更适合实际火焰的二维温度和浓度重建。为了分析自适应迭代算法对不同温度和浓度分布的重建能力,进一步模拟了双峰温度和浓度分布。结果表明,随着射线束的增加,温度的重建误差总是大于浓度的重建误差,表明射线数对温度的影响更为明显。在双峰分布中,投影射线束为16时的重建误差最大,但此时的重建结果也能反映温度和浓度的分布趋势。Two-dimensional(2D)temperature and component concentration distribution based on tunable diode laser absorption spectroscopy is significant for combustion diagnosis,and the iterative algorithm plays an important role in the reconstruction of temperature and component concentration.It is found that the adaptive algebraic reconstruction technique and the least-square QR decomposition algorithm have good advantages in constructing 2D temperature and H_(2)O concentration distribution.The simulated results show that four spectral absorption lines of H_(2)O with wavelengths at 7154.35,7153.75,7185.60 and 7444.36 cm^(-1) are very suitable for measuring temperature and water vapor concentration distribution in high-temperature premix flame.Compared with the absorption lines at 7444.36,7185.60,7154.35 and 7153.75 cm^(-1),the absorption lines of CO_(2) and CH_(4) are very weak,the absorption lines of O_(2) and CO are almost no absorption in this band.Therefore,CO_(2),CH_(4),O_(2),CO and other gases in the combustion environment do not affect the absorption spectrum of H_(2)O.By comparing the optimal relaxation factor,calculation time and reconstruction error of different algorithms,we find that the adaptive algebraic reconstruction technique has better reconstruction quality and shorter calculation time than the least square QR decomposition algorithm.Based on the AART algorithm,this paper further compares the 2D reconstruction effects of different absorption line pairs(7444.36 and 7185.60 cm^(-1),7154.35 and 7153.75 cm^(-1))at 16,32,48 and 64 ray beams.The results show that the reconstruction results obtained from absorption lines 7153.75 and 7154.35 cm^(-1) are better than those obtained from absorption lines 7185.60 and 7444.36 cm^(-1).With the increased laser beams,the reconstructed results are closer to the assumed temperature and concentration distributions.The 32-beam arrangement is more suitable for the actual flame’s 2D temperature and concentration reconstruction.In order to analyze the ability of the AART algo

关 键 词：可调谐激光吸收光谱 重建算法 温度分布 浓度分布 

分 类 号：O433.1[机械工程—光学工程]