基于少量声学数据的炉内温度场重建

Reconstruction of Temperature Fields of Furnace on the Basis of Few Acoustic Data

针对炉内温度场声学测量中只有少量声学数据问题,提出了基于平面像素分割和正则化的温度场重建方法。利用二维温度场像素之间的邻近关系,给出了正则化矩阵的一般求取方法,并对正则化参数进行了研究。分别对单峰对称和非对称、双峰对称和非对称的温度场模型进行了仿真实验,得出了三维显示图和等温线图,并给出了温度场的绝对误差和均方根误差。仿真结果表明:该模型的准确度较高,对各种温度场计算有一定的通用性。

In view of the problem that only a few acoustic projection data of furnace temperature fields are available, several typical reconstruction algorithms and their insufficiencies are summarized and an idea of reconstruction, based on pixel division and regularization, is presented, with which a mathematical model, for solving the inverse problem of reconstructing the temperature field, can be constructed. Acoording to the adjacency relationship of temperature field pixels, a general way of regularizing matrices is presented, accompanied with a discussion concerning regularization parameters. Reconstruction simulation experiments of single and double-peaked, symmetrical and unsymmetrical temperature fields, have been conducted. Three dimensional display and relevant temperature contours of the fields were therewith acquired. The absolute, as well as the root mean square, error of the reconstructed temperature fields have moreover been calculated. Simulation results show that the accuracy of this method is quite high. The method has a certain general applicability for calculating various kinds of temperature fields.