基于奇异值分解的炉膛三维温度场声学重建仿真研究
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摘要
为了实现炉内温度场的实时在线监测,阐述了基于声学理论的三维温度场重建原理,介绍了奇异值分解(singular value decomposition,SVD)算法。采用最小二乘法和SVD算法分别对炉膛火焰分布的几种典型模型:单峰模型、双峰模型以及四峰模型,进行了仿真重建,并对两种算法的仿真结果做了比较。仿真得到了稳定的重建结果,给出了不同温度场分布模型及其重建图像,分析了重建误差。仿真结果表明,两种算法均可用于炉膛三维温度场重建,并且具有一定的抗干扰能力,与最小二乘法相比,奇异值分解算法具有更好的稳定性。
In order to realize the real-time monitoring of temperature field in furnace, the principle of three-dimensional temperature field reconstruction based on acoustic theory was analyzed. Singular value decomposition(SVD) algorithm was introduced. Three typical temperature field models, such as one-peak model, two-peak model and four-peak model, were simulated with only a few acoustic data by least squares method and SVD algorithm respectively. Simulation results acquired by these two algorithms were compared. The simulation acquired a stable reconstruction. In addition, the different temperature field models as well as their reconstruction images were given and reconstruction errors were analyzed. Simulation results indicate that these two algorithms are able to be used to reconstruct furnace three-dimensional temperature field and have good anti-disturbance ability. Compared with least squares method, SVD algorithm has better stability.
引文
[1]Bramanti M,Salerno E A,Tonazzini A,et al.An acoustic pyrometer system for tomographic thermal imaging in power plant boilers[J].Instrumentation and Measurement,IEEE Transactions on,1996,45(1):159-167.
    [2]Kychakoff G,Hollingshead A F,Boyd S P.Use of acoustic temperature measurements in the cement manufacturing pyroprocess[C]//2005 IEEE Cement Industry Technical Conference Record.Piscatawa,NJ,USA,2005.
    [3]谢李兵,刘彤,张志刚,等.基于迭代和插值算法的二维温度场重建[J].中国电机工程学报,2004,24(10):249-252.Xie Libing,Liu tong,Zhang Zhigang,et al.The 2-D temperature reconstruction based on the algorithm of interpolation and iterative[J].Proceedings of the CSEE,2004,24(10):249-252(in Chinese).
    [4]姜根山,安连锁,杨昆.温度梯度场中声线传播路径数值研究[J].中国电机工程学报,2004,24(10):210-214.Jiang Genshan,An Liansuo,Yang Kun.Numerical study on the propagation path of sound ray through the temperature gradient field[J].Proceedings of the CSEE,2004,24(10):210-214(in Chinese).
    [5]李言钦,周怀春,周红新.声波法监测炉内二维速度场冷模实验研究[J].中国电机工程学报,2006,26(13):117-122.Li Yanqin,Zhou Huaichun,Zhou Hongxin.Simulation study on complicated 2-D aerodynamic field in boiler furnaces for acoustic monitoring purposes[J].Proceedings of the CSEE,2006,26(13):117-122(in Chinese).
    [6]田丰,孙小平,邵富群,等.基于高斯函数与正则化法的复杂温度场图像重建算法研究[J].中国电机工程学报,2004,24(5):212-215,220.Tian Feng,Sun Xiaoping,Shao Fuqun,et al.A study on complex temperature field reconstruction algorithm based on combination of Gaussian functions with regularization method[J].Proceedings of the CSEE,2004,24(5):212-215,220(in Chinese).
    [7]沈国清,安连锁,姜根山,等.基于声学CT重建炉膛二维温度场的仿真研究[J].中国电机工程学报,2007,27(2):11-14.Shen Guoqing,An Liansuo,Jiang Genshan,et al.Simulation of two-dimensional temperature field in furnace based on acoustic computer tomography[J].Proceedings of the CSEE,2007,27(2):11-14(in Chinese).
    [8]沈国清,吴智泉,安连锁,等.基于少量声学数据的炉内温度场重建[J].动力工程,2007,27(5):702-706.Shen Guoqing,Wu Zhiquan,An Liansuo,et al.Reconstruction of temperature fields of furnace on the basis of few acoustic data[J].Journal of Power Engineering,2007,27(5):702-706(in Chinese).
    [9]颜华,崔柯鑫,续颖.基于少量声波飞行时间数据的温度场重建[J].仪器仪表学报,2010,31(2):470-475.Yan Hua,Cui Kexin,Xu Ying.Temperature field reconstruction based on a few sound travel-time data[J].Chinese Journal of Scientific Instrument,2010,31(2):470-475(in Chinese).
    [10]颜华,王善辉,周英钢.正则化参数自适应选取的声学CT温度场重建[J].仪器仪表学报,2012,33(6):1301-1307.Yan Hua,Wang Shanhui,Zhou Yinggang.Acoustic CT temperature field reconstruction based on adaptive regularization parameter selection[J].Chinese Journal of Scientific Instrument,2012,33(6):1301-1307(in Chinese).
    [11]Ziemann A,Arnold K,Raabe A.Acoustic travel time tomography-a method for remote sensing of the atmospheric surface layer[J].Meteorology and Atmospheric Physics,1999,71(1-2):43-51.
    [12]Ziemann A,Arnold K,Raabe A.Acoustic tomography in the atmospheric surface layer[J].Annales Geophysicae,1999,17(1):139-148.
    [13]Ziemann A,Arnold K,Raabe K.Acoustic tomography as a remote sensing method to investigate the near-surface atmospheric boundary layer in comparison with in situ measurements[C]//10th Symposium of the International Society for Acoustic Remote Sensing,USA,2002.
    [14]Ostashev V E,Vecherin S N,Wilson D K,et al.Recent progress in acoustic tomography of the atmosphere[J].IOP Conference Series:Earth and Environmental Science,2008,1012008.
    [15]Vecherin S N,Ostashev V E,Wilson D K,et al.Time-dependent stochastic inversion in acoustic tomography of the atmosphere with reciprocal sound transmission[J].Measurement Science and Technology,2008,19(12):125501.
    [16]Barth M,Raabe A.Acoustic tomographic imaging of temperature and flow fields in air[J].Measurement Science and Technology,2011,22(3):035102.
    [17]Fischer G,Barth M,Ziemann A.Acoustic tomography of the atmosphere:comparison of different reconstruction algorithms[J].Acta Acustica United with Acustica,2012,98(4):534-545.
    [18]Barth M,Fischer G,Raabe A,et al.Remote sensing of temperature and wind using acoustic travel-time measurements[J].Meteorologische Zeitschrift,2013,22(2):103-109.
    [19]杜功焕,朱哲民,龚秀芬.声学基础[M].南京:南京大学出版社,2001:186-188.Du Gonghuan,Zhu Zhemin,Gong Xiufen.Foundatin of acoustic[M].Nanjing:Nanjing University Press,2001:186-188(in Chinese).
    [20]常旭,卢孟夏,刘伊克.地震层析成像反演中3种广义解的误差分析与评价[J].地球物理学报,1999,42(5):695.Chang Xu,Lu Mengxia,Liu Yike.Error analysis and appraisals for three general solutions in seismic tomography[J].Chinese Journal of Geophysics,1999,42(5):695(in Chinese).
    [21]李金岭.SVD算法简介与模拟数据检验[J].中国科学院上海天文台年刊,1998(19):16-21.Li Jinling.An introduction of the SVD algorithm and its test of artificial data[J].Annals of Shanghai Observatory Academia Sinica,1998(19):16-21(in Chinese).
    [22]黄群星,刘冬,王飞,等.基于截断奇异值分解的三维火焰温度场重建研究[J].物理学报,2007,56(11):6742-6748.Huang Qunxing,Liu Dong,Wang Fei,et al.Study on three-dimensional flame temperature distribution reconstruction based on truncated singular value decomposition[J].Acta Physice Sinica,2007,56(11):6742-6748(in Chinese).

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