CN102795627B - Multi-parameter online monitoring and optimizing control device and method of polycrystalline silicon reduction furnace - Google Patents
Multi-parameter online monitoring and optimizing control device and method of polycrystalline silicon reduction furnace Download PDFInfo
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Abstract
本发明公开了一种多晶硅还原炉多参量在线监测与优化控制装置及方法,包括有多参量红外监测探头、红外图像处理与视觉测量模块、工艺优化控制模块,通过多参量红外监测探头获取炉内硅棒红外图像,经数据采集模块采集、转换为数字图像后再由图像处理模块进行分析、处理,通过视觉测量技术得到硅棒直径和生长率,采用比色测温方法测量硅棒表面的温度分布,所得数据经用户接口接入显示器通过分析获取的测量数据,建立优化控制模型,结合不同多晶硅还原炉型进行闭环优化控制。本发明可对硅棒生长工艺过程进行优化控制,对节能降耗、提高生产效率、保障生产安全、减轻劳动强度均有极为重要的意义。
The invention discloses a multi-parameter online monitoring and optimization control device and method for a polysilicon reduction furnace, which includes a multi-parameter infrared monitoring probe, an infrared image processing and visual measurement module, and a process optimization control module. Infrared images of silicon rods are collected by the data acquisition module, converted into digital images, and then analyzed and processed by the image processing module. The diameter and growth rate of silicon rods are obtained through visual measurement technology, and the temperature on the surface of silicon rods is measured by colorimetric temperature measurement. Distribution, the obtained data is connected to the display through the user interface, and the obtained measurement data is analyzed to establish an optimal control model, and the closed-loop optimal control is performed in combination with different types of polysilicon reduction furnaces. The invention can optimize and control the growth process of silicon rods, and has extremely important significance for saving energy, reducing consumption, improving production efficiency, ensuring production safety and reducing labor intensity.
Description
技术领域 technical field
本发明涉及硅还原炉生产领域,具体涉及一种多晶硅还原炉多参量在线监测与优化控制装置及方法。The invention relates to the field of silicon reduction furnace production, in particular to a polysilicon reduction furnace multi-parameter online monitoring and optimization control device and method.
技术背景 technical background
多晶硅是电子工业与太阳能产业的基础原料,广泛用于半导体芯片、高性能传感器、光纤、太阳能电池板等。至2010年,全球多晶硅产量达到12万吨,而中国已占总产量的50%,产值近400亿人民币。预计2011年,全球多晶硅产量将达到16万吨,而中国所占比例则将提高到总产量的60%以上。Polysilicon is the basic raw material of the electronics industry and the solar energy industry, and is widely used in semiconductor chips, high-performance sensors, optical fibers, solar panels, etc. By 2010, the global polysilicon output reached 120,000 tons, while China accounted for 50% of the total output, with an output value of nearly RMB 40 billion. It is estimated that in 2011, the global polysilicon output will reach 160,000 tons, and the proportion of China will increase to more than 60% of the total output.
还原炉内硅棒表面的温度分布、棒径、生长率等参量是提高硅棒生长质量的关键环节。在多晶硅棒生长过程中,温度增高,硅在硅芯上的沉积速率增加,硅棒生长加快,但耗能过多,温度越高,气相条件越苛刻,硅棒的均匀性越差;温度降低,硅的沉积速率变慢,当温度低于一定值时,硅棒容易断裂,影响生长的继续进行。另外,硅棒的直径随时间的变化是温度调节以及进料气体组分配比的重要依据,不合理的配比会使硅棒生长速率下降,大量消耗能源。因此,就迫切需要一种能在还原炉内在线监测这些参量并进行闭环优化控制的设备。The temperature distribution on the surface of silicon rods in the reduction furnace, rod diameter, growth rate and other parameters are the key links to improve the growth quality of silicon rods. During the growth of polycrystalline silicon rods, the temperature increases, the deposition rate of silicon on the silicon core increases, and the growth of silicon rods is accelerated, but the energy consumption is too much. The higher the temperature, the harsher the gas phase conditions, and the worse the uniformity of the silicon rods; the lower the temperature , the deposition rate of silicon slows down. When the temperature is lower than a certain value, the silicon rods are easy to break, which affects the continuation of growth. In addition, the change of the diameter of silicon rods over time is an important basis for temperature regulation and the distribution ratio of feed gas components. Unreasonable ratios will reduce the growth rate of silicon rods and consume a lot of energy. Therefore, there is an urgent need for a device that can monitor these parameters online and perform closed-loop optimal control in the reduction furnace.
但是在目前国内外对还原炉内硅棒多参量的在线测量及优化控制都进行的理论研究与探索性的试验,并没有成熟的仪器设备进入生产应用。世界上,即使在多晶硅生产工艺控制方面处于技术领先地位的德国西门子公司、日本三菱电机公司等也均没有成熟的在线监测与控制的设备;在国内更是空白,目前,还原炉内的多参量(如硅棒直径、温度等)的在线监测及优化控制基本上停留在理论研究阶段。However, at present, there are no mature instruments and equipment for production application in the theoretical research and exploratory experiments on the on-line measurement and optimal control of the multi-parameters of silicon rods in the reduction furnace at home and abroad. In the world, even Germany's Siemens and Japan's Mitsubishi Electric Corporation, which are in the leading position in polysilicon production process control, do not have mature on-line monitoring and control equipment; it is even blank in China. At present, the multi-parameters in the reduction furnace (Such as silicon rod diameter, temperature, etc.) on-line monitoring and optimal control basically stay in the theoretical research stage.
直至目前,在全国千余座多晶硅还原炉的实际生产中,采用的均是以预设经验曲线为基础的开环式控制模式,温度是靠通过观测窗的点测温,以点带面,而直径的测量完全靠工人工作的经验目测大概地进行估计,显然这种方法具有一定主观性与偶然性。Up to now, in the actual production of more than a thousand polysilicon reduction furnaces across the country, the open-loop control mode based on the preset experience curve is adopted. The measurement is roughly estimated based on the workers' work experience and visual observation. Obviously, this method has a certain degree of subjectivity and chance.
鉴于此,研制了一种可在还原炉内对硅棒表面的温度分布、棒径、生长率等参量进行在线测量并进行闭环优化控制的设备。In view of this, a device for on-line measurement of temperature distribution, rod diameter, growth rate and other parameters on the surface of silicon rods in the reduction furnace and closed-loop optimal control has been developed.
发明内容 Contents of the invention
本发明解决了多晶硅生长过程的多参量实时监测及优化控制的技术难题,研制了一种硅棒表面温度分布、硅棒直径、生长率等参量的在线准确测量并进行闭环优化控制的设备。对节能降耗、提高生产效率、保障生产安全、减轻劳动强度均有极为重要的意义。The invention solves the technical problem of multi-parameter real-time monitoring and optimal control in the growth process of polysilicon, and develops a device for accurate online measurement of silicon rod surface temperature distribution, silicon rod diameter, growth rate and other parameters and closed-loop optimal control. It is of great significance to save energy and reduce consumption, improve production efficiency, ensure production safety, and reduce labor intensity.
本发明采用的技术方案是:The technical scheme adopted in the present invention is:
多晶硅还原炉多参量在线监测与优化控制装置,其特征在于,包括有多参量红外监测探头、红外图像处理与视觉测量模块、工艺优化控制模块,所述的多参量红外监测探头包括有近红外光学系统、图像采集模块,多参量红外监测探头外部装有水冷防护罩,水冷防护罩的前端设有水冷型密封耐压观测窗,多参量红外监测探头深入到多晶硅还原炉内;所述的红外图像处理与视觉测量模块包括有红外图像处理模块和视觉测量模块,红外图像处理模块依次相连的数据采集模块、图像处理模块,视觉测量模块包括有比色测温模块、直径测量模块,图像处理模块的输出端分别与比色测温模块、直径测量模块连接,比色测温模块、直径测量模块的输出端均接入数据输出接口、用户接口,数据输出接口外接有工艺优化控制模块,用户接口外接显示器,工艺优化控制模块通过一个数据接口与原控制系统连接。The polysilicon reduction furnace multi-parameter online monitoring and optimization control device is characterized in that it includes a multi-parameter infrared monitoring probe, an infrared image processing and visual measurement module, and a process optimization control module. The multi-parameter infrared monitoring probe includes a near-infrared optical system, image acquisition module, the multi-parameter infrared monitoring probe is equipped with a water-cooled protective cover outside, and the front end of the water-cooled protective cover is provided with a water-cooled sealed pressure-resistant observation window, and the multi-parameter infrared monitoring probe goes deep into the polysilicon reduction furnace; the infrared image The processing and visual measurement module includes an infrared image processing module and a visual measurement module. The infrared image processing module is sequentially connected to a data acquisition module and an image processing module. The visual measurement module includes a colorimetric temperature measurement module, a diameter measurement module, and an image processing module. The output terminals are respectively connected with the colorimetric temperature measurement module and the diameter measurement module. The output terminals of the colorimetric temperature measurement module and the diameter measurement module are connected to the data output interface and the user interface. The data output interface is externally connected to the process optimization control module, and the user interface is externally connected to The monitor and the process optimization control module are connected with the original control system through a data interface.
所述的工艺优化控制模块为闭环优化控制模型。The process optimization control module is a closed-loop optimization control model.
所述的图像采集模块为红外CCD相机。The image acquisition module is an infrared CCD camera.
多晶硅还原炉多参量在线监测与优化控制的方法,其特征在于,包括以下具体步骤:The method for multi-parameter online monitoring and optimal control of a polysilicon reduction furnace is characterized in that it includes the following specific steps:
1)多参量红外监测探头通过选取最优红外波段和高灵敏度的红外CCD相机,通过近红外光学系统、红外CCD相机获得炉内硅棒生长的图像信号,并经过数据采集模块进行A/D转换,获得多晶硅硅棒的红外数字图像;1) The multi-parameter infrared monitoring probe obtains the image signal of silicon rod growth in the furnace through the near-infrared optical system and infrared CCD camera by selecting the optimal infrared band and high-sensitivity infrared CCD camera, and performs A/D conversion through the data acquisition module , to obtain an infrared digital image of a polysilicon rod;
2)将上述获得的红外数字图像送入图像处理模块,并经图像处理模块进行图像预处理与分割,结合具体的图像,通过图像去噪算法和平滑滤波算法,最大限度的保护了图像表面温度分布特征;通过进行轮廓跟踪找出封闭的边缘,并进行亚像素级边缘检测和直线拟合,得到较高精度的图像边缘;2) Send the infrared digital image obtained above into the image processing module, and perform image preprocessing and segmentation through the image processing module. Combined with the specific image, through the image denoising algorithm and smoothing filter algorithm, the maximum protection of the image surface temperature Distribution features; Find the closed edge by contour tracking, and perform sub-pixel edge detection and straight line fitting to obtain higher precision image edges;
3)将上述处理过的图像输送到视觉测量模块的直径测量模块中,首先进行红外CCD相机的标定得到相机的内外参数,根据Hough直线拟合算法进行最初目标图像边缘的选取,然后对图像进行小区域边缘的跟踪;在鲁棒性估计的基本矩阵指导下进行对应点匹配;最后,根据以上算法将测量的像素值与实际单位制尺度进行换算,得到硅棒的实时直径数据;3) Send the above-mentioned processed image to the diameter measurement module of the visual measurement module. Firstly, the infrared CCD camera is calibrated to obtain the internal and external parameters of the camera. According to the Hough line fitting algorithm, the edge of the initial target image is selected, and then the image is processed. Tracking of the edge of a small area; matching corresponding points under the guidance of the basic matrix of robust estimation; finally, according to the above algorithm, the measured pixel value is converted to the actual unit scale to obtain the real-time diameter data of the silicon rod;
4)将步骤2中处理的图像输送到比色测温模块中,利用比色测温模块中的图像处理系统对图像进行坏点的修正,对图像进行分割、平滑、分层、灰度转换,然后调用数据库,对灰度曲线进行拟合,对温度进行标定,完成测温;4) Send the image processed in step 2 to the colorimetric temperature measurement module, and use the image processing system in the colorimetric temperature measurement module to correct the bad points of the image, and perform segmentation, smoothing, layering, and grayscale conversion on the image , then call the database, fit the gray curve, calibrate the temperature, and complete the temperature measurement;
5)将步骤3、4中获得的硅棒直径和表面温度数据,通过数据输出接口输送到工艺优化控制模块中,结合工况信息建立优化控制模型,以反馈指导硅棒在最合理的工艺条件下进行生长;5) Send the silicon rod diameter and surface temperature data obtained in steps 3 and 4 to the process optimization control module through the data output interface, and establish an optimal control model in combination with the working condition information, and use feedback to guide the silicon rods in the most reasonable process conditions grow under
6)将上述获得的硅棒直径和表面温度数据输出到终端,得到硅棒的实时直径和生长率,及硅棒表面任一点的实时温度,并在显示器中显示。6) Output the silicon rod diameter and surface temperature data obtained above to the terminal to obtain the real-time diameter and growth rate of the silicon rod, as well as the real-time temperature of any point on the surface of the silicon rod, and display them on the monitor.
本发明的工作原理是:The working principle of the present invention is:
本发明通过多参量红外监测探头(NICCD)获取炉内硅棒红外图像,经数据采集模块采集、转换为数字图像后再由图像处理模块进行分析、处理,通过视觉测量技术得到硅棒直径和生长率,采用比色测温方法测量硅棒表面的温度分布,所得数据经用户接口接入显示器通过分析获取的测量数据,建立优化控制模型,结合不同多晶硅还原炉型进行闭环优化控制。The invention obtains the infrared image of the silicon rod in the furnace through the multi-parameter infrared monitoring probe (NICCD), collects and converts it into a digital image through the data acquisition module, and then analyzes and processes it by the image processing module, and obtains the diameter and growth of the silicon rod through the visual measurement technology. The temperature distribution on the surface of the silicon rod is measured by the colorimetric temperature measurement method, and the obtained data is connected to the display through the user interface. After analyzing the measured data, an optimal control model is established, and the closed-loop optimal control is carried out in combination with different types of polysilicon reduction furnaces.
本发明的有益效果在于:The beneficial effects of the present invention are:
1)本发明与现有的测温设备相比具有测温范围大、精度高,长期连续测量等优点;1) Compared with the existing temperature measuring equipment, the present invention has the advantages of large temperature measurement range, high precision and long-term continuous measurement;
2)本发明与目前人工经验估算硅棒直径及生长率相比,具有可连续、精确测量的优点;2) Compared with the current artificial experience estimation of silicon rod diameter and growth rate, the present invention has the advantage of continuous and accurate measurement;
3)本发明与现有的固定控制模式相比,具有可针对不同炉型及工况,提供相应的闭环优化控制模型的优点。3) Compared with the existing fixed control mode, the present invention has the advantage of providing a corresponding closed-loop optimization control model for different furnace types and working conditions.
附图说明 Description of drawings
图1为本发明的系统结构功能框图。Fig. 1 is a functional block diagram of the system structure of the present invention.
图2本发明的优化控制模型示意图,The optimal control model schematic diagram of Fig. 2 the present invention,
图3为硅棒生长过程中表面温度监测结果示意图。Fig. 3 is a schematic diagram of the surface temperature monitoring results during the silicon rod growth process.
图4为硅棒生长过程中硅棒直径监测结果示意图。Fig. 4 is a schematic diagram of the monitoring results of the silicon rod diameter during the growth process of the silicon rod.
具体实施方式 Detailed ways
下面结合实例和附图对本发明作进一步说时,但不应该以此限制本发明的保护范围。When the present invention is described further below in conjunction with example and accompanying drawing, but should not limit protection scope of the present invention with this.
本发明的结构组成如图1所示。The structural composition of the present invention is shown in Figure 1.
多晶硅还原炉多参量在线监测与优化控制装置,其特征在于,包括有多参量红外监测探头1、红外图像处理与视觉测量模块2、工艺优化控制模块3,多参量红外监测探头1包括有近红外光学系统4、图像采集模块5,多参量红外监测探头外部装有水冷防护罩,水冷防护罩的前端设有水冷型密封耐压观测窗,多参量红外监测探头深入到多晶硅还原炉内;红外图像处理与视觉测量模块2包括有红外图像处理模块和视觉测量模块,红外图像处理模块依次相连的数据采集模块6、图像处理模块7,视觉测量模块包括有比色测温模块8、直径测量模块9,图像处理模块7的输出端分别与比色测温模块8、直径测量模块9连接,比色测温模块8、直径测量模块9的输出端均接入数据输出接口12、用户接口10,数据输出接口外接有工艺优化控制模块3,用户接口外接显示器11,工艺优化控制模块3通过一个数据接口与原控制系统连接。The polysilicon reduction furnace multi-parameter online monitoring and optimization control device is characterized in that it includes a multi-parameter infrared monitoring probe 1, an infrared image processing and visual measurement module 2, and a process optimization control module 3. The multi-parameter infrared monitoring probe 1 includes a near-infrared Optical system 4, image acquisition module 5, the multi-parameter infrared monitoring probe is equipped with a water-cooled protective cover outside, and the front end of the water-cooled protective cover is equipped with a water-cooled sealed pressure-resistant observation window, and the multi-parameter infrared monitoring probe goes deep into the polysilicon reduction furnace; the infrared image The processing and visual measurement module 2 includes an infrared image processing module and a visual measurement module. The infrared image processing module is connected in turn to a data acquisition module 6 and an image processing module 7. The visual measurement module includes a colorimetric temperature measurement module 8 and a diameter measurement module 9. , the output ends of the image processing module 7 are respectively connected with the colorimetric temperature measurement module 8 and the diameter measurement module 9, and the output ends of the colorimetric temperature measurement module 8 and the diameter measurement module 9 are all connected to the data output interface 12 and the user interface 10, and the data The output interface is externally connected to a process optimization control module 3, the user interface is externally connected to a display 11, and the process optimization control module 3 is connected to the original control system through a data interface.
工艺优化控制模块3为闭环优化控制模型。Process optimization control module 3 is a closed-loop optimization control model.
图像采集模块5为红外CCD相机。The image acquisition module 5 is an infrared CCD camera.
多晶硅还原炉多参量在线监测与优化控制的方法,包括以下具体步骤:A method for multi-parameter online monitoring and optimal control of a polysilicon reduction furnace includes the following specific steps:
1)多参量红外监测探头1通过选取最优红外波段和高灵敏度的红外CCD相机,通过近红外光学系统4、红外CCD相机获得炉内硅棒生长的图像信号,并经过数据采集模块6进行A/D转换,获得多晶硅硅棒的红外数字图像;1) The multi-parameter infrared monitoring probe 1 obtains the image signal of silicon rod growth in the furnace through the near-infrared optical system 4 and infrared CCD camera by selecting the optimal infrared band and high-sensitivity infrared CCD camera, and performs A through the data acquisition module 6. /D conversion to obtain infrared digital images of polysilicon rods;
2)将上述获得的红外数字图像送入图像处理模块7,并经图像处理模块7进行图像预处理与分割,结合具体的图像,通过图像去噪算法和平滑滤波算法,最大限度的保护了图像表面温度分布特征;通过进行轮廓跟踪找出封闭的边缘,并进行亚像素级边缘检测和直线拟合,得到较高精度的图像边缘;2) Send the infrared digital image obtained above into the image processing module 7, and carry out image preprocessing and segmentation through the image processing module 7, combined with the specific image, through the image denoising algorithm and smoothing filter algorithm, the image is protected to the greatest extent Surface temperature distribution characteristics; find the closed edge by contour tracking, and perform sub-pixel edge detection and straight line fitting to obtain higher precision image edges;
3)将上述处理过的图像输送到视觉测量模块的直径测量模块9中,首先进行红外CCD相机的标定得到相机的内外参数,根据Hough直线拟合算法进行最初目标图像边缘的选取,然后对图像进行小区域边缘的跟踪;在鲁棒性估计的基本矩阵指导下进行对应点匹配;最后,根据以上算法将测量的像素值与实际单位制尺度进行换算,得到硅棒的实时直径数据;3) Send the above-mentioned processed image to the diameter measurement module 9 of the visual measurement module. Firstly, the infrared CCD camera is calibrated to obtain the internal and external parameters of the camera. The edge of the initial target image is selected according to the Hough line fitting algorithm, and then the image is Track the edge of the small area; match the corresponding points under the guidance of the basic matrix of robust estimation; finally, convert the measured pixel value and the actual unit scale according to the above algorithm to obtain the real-time diameter data of the silicon rod;
4)将步骤2中处理的图像输送到比色测温模块8中,利用比色测温模块中的图像处理系统对图像进行坏点的修正,对图像进行分割、平滑、分层、灰度转换,然后调用数据库,对灰度曲线进行拟合,对温度进行标定,完成测温;4) Send the image processed in step 2 to the colorimetric temperature measurement module 8, use the image processing system in the colorimetric temperature measurement module to correct the bad points of the image, and perform segmentation, smoothing, layering, and grayscale on the image Convert, then call the database, fit the gray curve, calibrate the temperature, and complete the temperature measurement;
5)将步骤3、4中获得的硅棒直径和表面温度数据,通过数据输出接口输送到工艺优化控制模块3中,结合工况信息建立优化控制模型,以反馈指导硅棒在最合理的工艺条件下进行生长;5) Send the silicon rod diameter and surface temperature data obtained in steps 3 and 4 to the process optimization control module 3 through the data output interface, and establish an optimization control model based on the working condition information, and use feedback to guide the silicon rod in the most reasonable process grow under the conditions;
6)将上述获得的硅棒直径和表面温度数据输出到终端,得到硅棒的实时直径和生长率,及硅棒表面任一点的实时温度,并在显示器11中显示。6) Output the silicon rod diameter and surface temperature data obtained above to the terminal to obtain the real-time diameter and growth rate of the silicon rod, as well as the real-time temperature of any point on the surface of the silicon rod, and display them on the display 11 .
本发明的发明原理如下:Invention principle of the present invention is as follows:
在视觉测量模块中,根据所拍摄的硅棒生长图像测出量硅棒的实时生长直径。In the visual measurement module, the real-time growth diameter of silicon rods is measured according to the captured growth images of silicon rods.
(1)相机系统的标定(1) Calibration of the camera system
将在图像处理中得到的像素值转化为实际单位制尺度值,需要标定系统,即确定相机的几何摄像模型。已知空间靶标三维点齐次坐标为 ,其对应的二维像点齐次坐标为 ,空间点 与图像点 之间的射影关系为To convert the pixel value obtained in image processing into the actual unit scale value, it is necessary to calibrate the system, that is, to determine the geometric camera model of the camera. The homogeneous coordinates of the three-dimensional point of the known space target are , and its corresponding two-dimensional pixel homogeneous coordinates are , the space point with image points The projective relationship between
利用最小二乘法解超定线性方程组,给出外部参数;求解内部参数,如果摄像机无透镜畸变,可由一个超定线性方程解出,如果存在径向畸变,则通过一个三变量的优化搜索求解。最终求解出内部和外部参数,焦距f,径向畸变系数k,旋转矩阵R和平移向量T。Use the least squares method to solve the overdetermined linear equations, and give the external parameters; solve the internal parameters, if the camera has no lens distortion, it can be solved by an overdetermined linear equation, if there is radial distortion, it can be solved by a three-variable optimization search . Finally, the internal and external parameters, focal length f, radial distortion coefficient k, rotation matrix R and translation vector T are solved.
(2)边缘检测与Hough直线拟合(2) Edge detection and Hough straight line fitting
边缘检测根据检测亮度值的不连续性,利用一阶和二阶导数检测。二维函数f(x,y)的梯度定义为向量Edge detection utilizes first and second derivative detection based on detecting discontinuities in luminance values. The gradient of a two-dimensional function f(x,y) is defined as a vector
该向量的幅值是The magnitude of this vector is
一般简化为Generally simplified to
或 or
它们在不变亮度区中的值为零。They have a value of zero in the constant luminance region.
使用Hough变换进行线检测和链接首先要做峰值检测,找到包含有最大值的Hough变换单元,将找到的最大值点的邻域中的Hough变换单元设为0,重复此步骤,直到找到需要的峰值数为止。对于每一个峰值,找到位置相关的像素组合成线段。Use Hough transform for line detection and linking. First, do peak detection, find the Hough transform unit that contains the maximum value, set the Hough transform unit in the neighborhood of the found maximum value point to 0, and repeat this step until you find the desired one. up to the peak number. For each peak, find the positionally correlated pixels and combine them into line segments.
(3)图像对应点匹配(3) Image corresponding point matching
将上述检测出的特征点进行匹配,即找出对应同一空间点的不同图像中的像点。Matching the above detected feature points is to find the image points in different images corresponding to the same spatial point.
假设对于同一时刻的硅棒拍摄两幅图片,两幅图像内对应的特征点集为 ,x(x,y,1)、x′(x′,y′,1)分别表示左、右摄像机的对应点的齐次坐标。由基本矩阵的定义可知,Assuming that two pictures are taken of silicon rods at the same moment, the corresponding feature point sets in the two pictures are , x(x,y,1), x′(x′,y′,1) represent the homogeneous coordinates of the corresponding points of the left and right cameras respectively. From the definition of the fundamental matrix, we know that
即 Right now
其中, ,满足约束||f||=1; in, , satisfying the constraint ||f||=1;
用鲁棒性估计算法求出基本矩阵和准确的立体匹配点后,在基本矩阵指导下进行更多对应点匹配。After the basic matrix and accurate stereo matching points are obtained by the robust estimation algorithm, more corresponding point matching is performed under the guidance of the basic matrix.
(4)优化控制模型的建立(4) Establishment of optimal control model
通过测量获取的过程参量,再结合工况信息建立优化控制模型,指导硅棒生长合理进行,以达到降低成本、提高产品质量以及节能减排的目的By measuring the obtained process parameters and combining with the working condition information to establish an optimal control model to guide the growth of silicon rods to achieve the goals of reducing costs, improving product quality, energy saving and emission reduction
比色测温系统的比色测温方法如下:The colorimetric temperature measurement method of the colorimetric temperature measurement system is as follows:
热力学温度为T的一般物体,其辐射及分布由Planck辐射定律描述:The radiation and distribution of a general object with a thermodynamic temperature T is described by Planck's radiation law:
式中,Meλ为光谱辐出度,其中λ为波长,T为热力学温度,C1=3.741832×10-12wcm2为第一辐射常数,C2=1.438786×104μmK为第二辐射常数;当c2/λT>>1时,普朗克公式可由维恩公式代替,可简化为:In the formula, M eλ is the spectral radiance, where λ is the wavelength, T is the thermodynamic temperature, C 1 =3.741832×10 -12 wcm 2 is the first radiation constant, C 2 =1.438786×10 4 μmK is the second radiation constant ; When c 2 /λT>>1, Planck's formula can be replaced by Wien's formula, which can be simplified as:
在λT<2698μm·K区域内,维恩公式与普朗克公式的误差小于1%;In the region of λT<2698μm·K, the error between Wien's formula and Planck's formula is less than 1%;
如果在两个波长λ1和λ2下,同时测量到由物体同一点发出的光谱辐出度M(T,λ1)和M(T,λ2),则根据两者的比值可得该点的温度,公式为:If the spectral radiance M(T, λ 1 ) and M(T, λ 2 ) emitted by the same point of the object are measured at the same time at two wavelengths λ 1 and λ 2 , then the ratio of the two can be obtained The temperature of the point, the formula is:
假设 ,即近似的把物体当作灰体来处理,则公式(9)可以简化为:suppose , that is, approximately treat the object as a gray body, then the formula (9) can be simplified as:
此即为比色测温法的计算公式。This is the calculation formula of the colorimetric temperature measurement method.
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