节点文献
基于径向基函数的声学法温度场重建算法研究
Temperature Field Reconstruction Algorithm Based on Radial Basis Function in Acoustic Tomography Research
【作者】 李欣;
【导师】 颜华;
【作者基本信息】 沈阳工业大学 , 检测技术与自动化装置, 2014, 硕士
【摘要】 温度场测量技术分为接触式与非接触式,接触式因为必需与被测介质直接接触,而限制其在腐蚀、高温环境中的应用。而声学法温度场测量技术作为一种非接触式测量技术,由于其依据路径声波传播时间数据,反推测量区域的温度分布,具有不接触,不干扰被测温度场,测温范围广、测量对象空间范围大、精度高等优点。目前许多领域都有相关的研究,如仓储粮食温度分布、监测深海热液温度分布、工业炉温度场监测等。本文首先介绍了声学法测温原理、温度场重建的典型算法及插值算法、重建评价标准及影响重建的因素。其次在径向基函数法的基础上提出了基于高斯型径向基函数法的温度场重建算法。与常用的最小二乘法不同,所提算法不要求区域划分的像素数小于声波飞行路径数,所以该算法对复杂温度场的重建能力优于最小二乘法。分别采用20、32个声波收发器,对四种典型的三维温度场,即单峰对称模型、单峰偏置模型、双峰对称模型和四峰对称模型进行重建,给出了重建结果及误差分析。重建及误差分析结果表明该算法具有较高的重建精度和较强的抗干扰能力。并基于高斯径向基函数重建算法分析了各参数对重建精度的影响,具体给出了收发器数目及位置布局、有效路径选取方式、划分像素数目、算法形状参数设置、单峰模型热点位置及正则化滤波参数选取对重建精度的影响规律。通过实验数据重建出实验室实际三维温度场。最后将Kriging模型引入到三维温度场重建的内插和外推中,对比分析了Kriging模型与常用三次样条插值的内插和外推精度。克里金法对重建温度场内插和外推精度高于三次样条插值。将克里金法引入到温度场实现温度场细致描述为解决重建温度场内部温度细化与外推精度低的问题,提供了一种有效的手段。本文基于Matlab软件设计并集成了三维温度场重建软件。该软件可以方便、快捷、准确的进行三维温度场重建及内、外推细化,并支持三维切片显示。
【Abstract】 Temperature field measurement technology can be divided into contact andnon-contact. Contact method must contact with the measured medium directly. So itrestricts the applications in the corrosive and high temperature. As a non-contacttemperature measurement technology, Acoustic temperature measurement technology usesthe data of sound wave time, backstepping the temperatures distribution of measuringregion. It has many advantages, such as non-contact, non-interference the measuringtemperature field, wide scope of application, measurement wide area and high accuracy.Temperature field measurement technology has been widely applied to various areas, suchas the grain storage temperature distribution monitoring, the deep-sea hydrothermaltemperature distribution testing, and the industrial boiler temperature field monitoring.This paper introduces the principle of the acoustic temperature tomography,temperature field typical reconstruction and interpolation algorithm, and reconstructionevaluating standards and influencing factors. On the basis of radial basis function,temperature field reconstruction algorithm of gauss radial basis function is proposed.Compare with the typical least squares, it without requiring pixel number less than acousticflight path. So the reconstruction algorithm is better than least squares for complextemperature field. Thirty-two and twenty sound transceivers are both used. Four typical3Dtemperature fields are reconstructed, and they are one-peak symmetry three-dimensionaltemperature field model, one-peak bias temperature field model, two-peak symmetrytemperature field model, four-peak symmetry temperature field model. The reconstructionresults and error analysis are also given. The results show that the algorithm has highreconstruction accuracy and strong anti-jamming capability. In addition, the influences ofthe parameters on reconstruction accuracy are analyzed. The paper provides the affect ofthe number and location of the transceivers, the effective path selection, the number ofpixels, the shape parameters of algorithm, the peak position of the one-peak temperature field model, and filtering parameter of the regularization on the reconstruction accuracy.Eventually, Kriging method is introduced to interpolation and extrapolation ofthree-dimensional temperature field reconstruction. Compare with accuracy of the commoncubic spline interpolation. As it turned out, the interpolation and extrapolation accuracy ofKriging method was higher than the cubic spline interpolation. The paper provides aneffective method to solve detail description and extrapolation of temperature field. SoKriging model can be introduced in Acoustic Computer Tomography.The three-dimensional temperature field reconstruction software is designed andintegrated based on Matlab. It can achieve the three-dimensional temperature fieldreconstruction, interpolation and extrapolation. And it is very convenient, shortcut,accuracy, and supporting the three-dimensional slice display.