CN107727945B - Large parabolic antenna surface accuracy testing system based on UAV - Google Patents
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Abstract
本发明公开了一种基于无人机的大型抛物面天线面型精度测试系统,其由探测部分和数据处理部分依次连接组成;其中探测部分包括搭载摄像头的无人机、识别标记、激光定标参考子系统、信号接收发射模块Ⅰ,数据处理部分包括信号接收发射模块Ⅱ、计算机;该系统基于无人机搭载的摄像探头拍摄位于天线表面的识别标示,能够在天线不同观测角度时快速、准实时获得当前的天线面板精度,快速修正面型可以迅速提升天线性能,克服了目前主流天线面型测量中的俯仰角兼顾、光线污染等问题。
The invention discloses a large parabolic antenna surface accuracy testing system based on a drone, which consists of a detection part and a data processing part connected in sequence; the detection part includes a drone equipped with a camera, an identification mark, and a laser calibration reference Subsystem, signal receiving and transmitting module I, the data processing part includes signal receiving and transmitting module II, and computer; this system is based on the camera probe mounted on the drone to capture the identification mark on the surface of the antenna, which can quickly and quasi-real-time at different observation angles of the antenna Obtaining the current antenna panel accuracy and quickly correcting the surface shape can quickly improve the antenna performance, overcoming the problems of pitch angle consideration, light pollution and other problems in the current mainstream antenna surface measurement.
Description
技术领域Technical field
本发明涉及大型抛物面天线测量和射电天文研究领域,适用于采用大型抛物面天线进行射电天文观测时对天线性能进行实时评估,获得当前的天线性能。The invention relates to the fields of large-scale parabolic antenna measurement and radio astronomy research, and is suitable for real-time evaluation of antenna performance when using large-scale parabolic antennas for radio astronomical observations to obtain current antenna performance.
背景技术Background technique
随着科学技术的发展,大型抛物面天线应用到了地面通信天线、星载可展开天线、射电天文望远镜等诸多方面,同时也对反射面天线电性能指标提出了更高的要求,例如高增益、窄波束、高效率等,这必然提高抛物面天线的电磁设计和结构设计的难度。反射面天线通常工作在较高的频段,为了追求更高电性能指标,对天线结构的精度提出了更高的要求;因此,需要定量描述天线结构的各种误差信息对电性能的影响情况;其中,误差信息主要包括安装、制造误差和系统误差,并且主要是反射面板的误差信息;安装、制造误差属于随机误差,是一种快速变化的误差,这类误差对电性能的影响可通过概率方法进行估计;Ruze最早给出了随机误差与增益损失之间的关系,Vu将其公式进行了扩展,对不均匀的随机误差与口径场的关系进行了研究,Rahma-t samii为了进行结构的参数化的研究,给出了随机误差对平均功率方向图影响的数学模型;Ruze、Vu、Rahma-t samii等人只对反射面随机误差(面板制造精度)对电性能的影响关系进行了研究;并没有考虑系统误差影响;而系统误差是天线结构所固有的;其来源是自重、温度、惯性、振动等载荷作用在天线结构上所引起的,这类误差是缓慢变化的,可通过结构分析确定结构变形信息。With the development of science and technology, large parabolic antennas have been used in many aspects such as ground communication antennas, space-borne deployable antennas, radio astronomical telescopes, etc. At the same time, higher requirements have been put forward for the electrical performance indicators of reflective antennas, such as high gain, narrow Beam, high efficiency, etc., which will inevitably increase the difficulty of the electromagnetic design and structural design of the parabolic antenna. Reflector antennas usually work in higher frequency bands. In order to pursue higher electrical performance indicators, higher requirements are placed on the accuracy of the antenna structure; therefore, it is necessary to quantitatively describe the impact of various error information on the electrical performance of the antenna structure; Among them, the error information mainly includes installation, manufacturing errors and system errors, and is mainly the error information of the reflective panel; installation and manufacturing errors are random errors, which are a type of rapidly changing errors. The impact of such errors on electrical performance can be measured through probability method for estimation; Ruze was the first to give the relationship between random error and gain loss, Vu expanded its formula and studied the relationship between uneven random error and aperture field, Rahma-t samii in order to carry out structural Parametric research provides a mathematical model of the impact of random errors on the average power pattern; Ruze, Vu, Rahma-t samii and others only studied the impact of random errors on the reflective surface (panel manufacturing accuracy) on electrical properties. ; The influence of systematic errors is not considered; the systematic errors are inherent in the antenna structure; their sources are caused by loads such as self-weight, temperature, inertia, vibration, etc. acting on the antenna structure. This type of error changes slowly and can be passed through the structure. Analyze and determine structural deformation information.
2005年Bahadori K给出了系统误差对电性能影响的关系模型,分析系统误差对增益和副瓣电平的影响;然而Bahadori K没有给出反射面随机误差的影响以及反射面的背架支撑情况;但在天线的实际工况中,天线的各种误差信息(系统误差和随机误差)是同时存在的。分析各种误差信息对电性能的综合影响情况,是符合实际情况的。对于反射面面板而言,随机误差取决于面板的制造精度,不会随着工作状态和环境而改变;系统误差则受天线工作状态、环境及其背架支撑结构的影响。基于此,建立了反射面在随机误差和系统误差同时存在时对电性能影响的数学模型。利用结构分析给出反射面的系统误差信息,通过数值方法分析计算了误差ε对抛物面天线增益和副瓣电平的影响。In 2005, Bahadori K gave a relationship model of the impact of system errors on electrical performance and analyzed the impact of system errors on gain and side lobe levels; however, Bahadori K did not give the impact of random errors on the reflective surface and the back support of the reflective surface. ; But in the actual working conditions of the antenna, various error information (system error and random error) of the antenna exist at the same time. It is in line with the actual situation to analyze the comprehensive impact of various error information on electrical performance. For reflective panels, the random error depends on the manufacturing accuracy of the panel and will not change with the working state and environment; the systematic error is affected by the working state of the antenna, the environment and its back frame support structure. Based on this, a mathematical model of the impact of the reflective surface on the electrical performance when random errors and systematic errors exist simultaneously is established. Structural analysis is used to give the systematic error information of the reflecting surface, and the influence of error ε on the gain and side lobe level of the parabolic antenna is analyzed and calculated through numerical methods.
目前国内外对天线面板精度测量有以下方法:经纬仪法、微波全息法以及数字摄影法。经纬仪法由于其精度不高,已属于淘汰方法。At present, there are the following methods for measuring the accuracy of antenna panels at home and abroad: theodolite method, microwave holography method and digital photography method. The theodolite method has been eliminated due to its low accuracy.
(一)微波全息法:(1) Microwave holography method:
微波全息法通过上海天文台王锦清等人的长期摸索,已经日趋成熟。其方法在于:由于抛物面天线的口径场和远场存在二维傅里叶变换关系,利用这一关系可以测量大孔径天线的高频相位图,从而确定天线面板精度。The microwave holography method has become increasingly mature through long-term exploration by Wang Jinqing and others from the Shanghai Observatory. The method is: since there is a two-dimensional Fourier transform relationship between the aperture field and the far field of the parabolic antenna, this relationship can be used to measure the high-frequency phase diagram of the large aperture antenna, thereby determining the accuracy of the antenna panel.
天微波全息法主要优点:The main advantages of microwave holography:
1.不依赖于外部光线;1. Does not depend on external light;
2.快速得到面板分布情况。2. Quickly obtain panel distribution.
主要缺点:Main disadvantages:
1.严重依赖于卫星频率和位置,如2012年在测量云南天文台40米射电望远镜时候我们采用了和上海天文台同样的卫星作为远场信号源,但是在云南昆明的地理纬度上看这颗星较之于上海地区高了近12°左右,造成了40米天线的测试调整角过高,在低俯仰位置上(35°以下)天线性能下降;1. It relies heavily on satellite frequency and position. For example, when measuring the 40-meter radio telescope of Yunnan Observatory in 2012, we used the same satellite as the Shanghai Observatory as the far-field signal source. However, this star is relatively small at the geographical latitude of Kunming, Yunnan. In the Shanghai area, it is nearly 12° higher, which causes the test adjustment angle of the 40-meter antenna to be too high, and the antenna performance decreases at low pitch positions (below 35°);
2.高频电磁波受到天气影响较大,在阴雨天气测量受影响;2. High-frequency electromagnetic waves are greatly affected by weather, and measurements in rainy weather are affected;
3.测量俯仰面固定,无法兼顾多个俯仰面。3. The measuring pitch plane is fixed and cannot take into account multiple pitch planes.
(二)数字摄影法(2) Digital photography method
摄影测量的基本原理和双经纬仪系统很相似,若用一台相机在两个位置对被测目标进行拍照,就可以得到被测量目标在两个不同角度的照片,这两个不同角度的照片就构成了立体像对。如果从多个摄站对被测量目标点进行拍摄,就可以得到被测量目标的多个立体像对,构成多目立体模型。The basic principle of photogrammetry is very similar to the dual theodolite system. If you use a camera to take pictures of the measured target at two locations, you can get photos of the measured target at two different angles. These two different angle photos are A stereoscopic image pair is formed. If the measured target point is photographed from multiple camera stations, multiple stereo image pairs of the measured target can be obtained to form a multi-eye three-dimensional model.
如果从多个摄站对目标进行拍摄,即可获取被测物体的多个立体像对,从而构成多目立体模型。设物方点只由i个摄站(i条光线)相交,则共有i个共线方程:If the target is photographed from multiple camera stations, multiple stereoscopic image pairs of the measured object can be obtained to form a multi-view stereoscopic model. Assuming that the object-direction point is only intersected by i camera stations (i rays), there are i collinear equations:
其中,xs,ys和zs,aibi和ci(i=1,2,3)分别为像片的外方位元素的平移量及旋转矩阵的元素;x0,y0,f,Δx,Δy为像片的内部参数,预先已标定好,可当作已知值;x和y为物方点坐标X,Y,Z所对应的像点坐标。根据最小二乘原理,将多个光线(束)的共线方程联立求解(光束法平差)可以求得物方点的空间坐标(X,Y,Z)。根据所得空间坐标,即可重建获得天线3D模型。Among them, x s , y s and z s , a i b i and c i (i=1, 2, 3) are the translation amounts of the external orientation elements of the image and the elements of the rotation matrix respectively; x 0 , y 0 , f, Δx, and Δy are the internal parameters of the image, which have been calibrated in advance and can be regarded as known values; x and y are the image point coordinates corresponding to the object coordinates X, Y, and Z. According to the principle of least squares, the spatial coordinates (X, Y, Z) of the object square point can be obtained by solving the collinear equations of multiple rays (beams) simultaneously (beam method adjustment). According to the obtained spatial coordinates, the 3D model of the antenna can be reconstructed and obtained.
紫金山天文台青海德令哈观测站13.7米毫米波射电望远镜天线面板精度测量采用了数字摄影法,在2009年的测量中,测量前面板的精度误差为:0.768mm,测量调整后测量得到面板精度的误差为:0.083毫米。The accuracy measurement of the antenna panel of the 13.7-meter millimeter-wave radio telescope at the Qinghai Delingha Observatory of the Purple Mountain Observatory adopted the digital photography method. In the measurement in 2009, the accuracy error of the front panel was: 0.768mm. After the measurement and adjustment, the panel accuracy was obtained. The error is: 0.083 mm.
中德合作的亚毫米波射电望远镜kosma也采用了该种方法,最终,内环面板面型精度达到14μm(r.m.s.),整体面板面型精度优于24μm(r.m.s.),达到了亚毫米波235GHz观测的面型精度的要求。The Sino-German submillimeter wave radio telescope kosma also adopted this method. In the end, the surface accuracy of the inner ring panel reached 14 μm (r.m.s.), and the overall panel surface accuracy was better than 24 μm (r.m.s.), achieving submillimeter wave 235GHz observation. surface accuracy requirements.
数字摄影法主要优点:The main advantages of digital photography:
1.测量精度很高,不受微波频率影响;1. The measurement accuracy is very high and is not affected by microwave frequency;
2.兼顾各个俯仰角,且不受湿度温度影响;2. Taking into account various pitch angles and not affected by humidity and temperature;
3.快速计算得到面型精度。3. Quickly calculate the surface shape accuracy.
主要缺点:Main disadvantages:
1.白天工作受到阳光影响;1. Work during the day is affected by sunlight;
2.天线高俯仰时需要导轨或者吊车,操作麻烦;2. When the antenna is tilted at a high pitch, it requires a guide rail or a crane, which is troublesome to operate;
3.反光材料易被污染。3. Reflective materials are easily contaminated.
风速、温度的不同均会造成即使在同一俯仰角度下天线面型精度不同,如上海天文台新建的65米射电望远镜、新疆天文台拟建的110米射电望远镜以及云南天文台拟建的景东新射电望远镜均考虑了主动面型控制。Different wind speeds and temperatures will cause different antenna surface accuracy even at the same pitch angle, such as the newly built 65-meter radio telescope of the Shanghai Observatory, the 110-meter radio telescope planned to be built by the Xinjiang Observatory, and the new Jingdong radio telescope planned to be built by the Yunnan Observatory. All take into account active surface shape control.
基于无人机搭载的摄像探头拍摄位于天线表面的识别标示,能够在天线不同观测角度快速、准实时获得当前的天线面板精度,加以快速修正面型可以迅速提升天线性能。Based on the identification mark on the antenna surface captured by the camera probe mounted on the drone, the current antenna panel accuracy can be obtained quickly and quasi-real-time at different observation angles of the antenna, and the surface shape can be quickly corrected to quickly improve the antenna performance.
发明内容Contents of the invention
本发明目的在于提供一种基于无人机的大型抛物面天线面型精度测试系统,主要适用于大型抛物面天线的射电天文观测领域,是一种快速、安全地获得天线面型参数的装置和方案,克服了目前主流天线面型测量中的俯仰角兼顾、光线污染等问题。The purpose of the present invention is to provide a large parabolic antenna surface accuracy testing system based on an unmanned aerial vehicle, which is mainly suitable for the field of radio astronomy observation of large parabolic antennas. It is a device and solution for quickly and safely obtaining antenna surface parameters. It overcomes the problems of considering the pitch angle and light pollution in the current mainstream antenna surface measurement.
本发明是通过如下技术方案来实现的:The present invention is achieved through the following technical solutions:
一种基于无人机的大型抛物面天线面型精度测试系统由探测部分和数据处理部分依次连接组成。A UAV-based large-scale parabolic antenna surface accuracy testing system consists of a detection part and a data processing part connected in sequence.
其中探测部分由以下组成:The detection part consists of the following:
1、多轴无人机飞行器及其搭载的摄像头构成拍摄子系统,多轴飞行器可以是四轴、六轴或者八轴飞行器,然后悬挂摄像头,摄像头内集成了存储卡可以将拍摄到的图片进行备份存储;1. A multi-axis UAV aircraft and its equipped camera constitute the shooting subsystem. The multi-axis aircraft can be a four-axis, six-axis or eight-axis aircraft, and then the camera is hung. A memory card is integrated in the camera to record the captured pictures. Backup storage;
2、无人机携带信号接收发射模块Ⅰ,该模块与摄像头的存储卡和无人机的飞行控制电路相连,用于将摄像头拍摄到的图像调制成无线信号传送给地面的数据处理部分,同时接收地面数据处理部分发来的停止拍摄指令,该模块采用wifi、3G或者4G等无线频率进行发射和接收;2. The UAV carries a signal receiving and transmitting module I. This module is connected to the memory card of the camera and the flight control circuit of the UAV. It is used to modulate the image captured by the camera into a wireless signal and transmit it to the data processing part on the ground. At the same time Receive the stop shooting instruction from the ground data processing part. The module uses wireless frequencies such as wifi, 3G or 4G to transmit and receive;
3、识别标记粘贴于天线主反射面表面,其由具有高光敏性的材料组成,易于被摄像头识别;3. The identification mark is pasted on the surface of the main reflecting surface of the antenna. It is made of highly photosensitive material and is easy to be recognized by the camera;
同时每个识别标记具有两两不同的识别特征,该特征可以是打印在标示上光敏材料制成的数字,也可以是通过不同的形状组合构成;At the same time, each identification mark has two different identification features, which can be numbers printed on the mark made of photosensitive material, or can be composed of different combinations of shapes;
4、激光定标参考子系统包括激光发射器和激光吸收器,激光发射器和吸收器的相对位置则可以精确确定,该系统固定于天线面显眼处,适合无人机在任何角度均可拍摄到该激光束,其中激光发射器发射的激光到激光吸收器的距离可以精确测量得到,这就为整个测量提供了基准。4. The laser calibration reference subsystem includes a laser transmitter and a laser absorber. The relative positions of the laser transmitter and the absorber can be accurately determined. The system is fixed at a conspicuous place on the antenna surface and is suitable for drone shooting at any angle. To this laser beam, the distance from the laser emitted by the laser emitter to the laser absorber can be accurately measured, which provides a benchmark for the entire measurement.
数据处理部分由以下部分组成:The data processing part consists of the following parts:
1、信号接收发射模块Ⅱ,接收无人机发来图像信号并发射飞行控制命令,该模块采用wifi、3G或者4G等无线频率进行接收和发射;1. Signal receiving and transmitting module II, which receives image signals from the drone and transmits flight control commands. This module uses wireless frequencies such as wifi, 3G or 4G to receive and transmit;
2、计算机,计算机包括常规图形处理软件对无人机发来的图像进行识别后,查找该图像所在的天线位置,并进行虚拟三维定位,实现对整个天线面型的三维复原,当无人机完成所有识别标记的拍摄后并能完全复原天线面型后,通过信号接收发射模块Ⅱ向无人机发送停止拍摄信息;2. Computer. The computer includes conventional graphics processing software. After identifying the image sent by the drone, it finds the location of the antenna where the image is located, and performs virtual three-dimensional positioning to achieve a three-dimensional restoration of the entire antenna surface. When the drone After completing the shooting of all identification marks and completely restoring the antenna surface shape, send stop shooting information to the drone through the signal receiving and transmitting module II;
根据所拍摄到的激光束长度,精确标定各个识别标记之间的相对位置,这样就恢复了天线面型的精确三维结构,获得了当前抛物面面型的误差分布,达到测量天线面型精度的目的。According to the length of the captured laser beam, the relative position between each identification mark is accurately calibrated. This restores the precise three-dimensional structure of the antenna surface, obtains the error distribution of the current parabolic surface, and achieves the purpose of measuring the accuracy of the antenna surface. .
本发明的效果:Effects of the present invention:
完成大型抛物面天线面型的实时测量,可以快速获知目前俯仰角、风速、温度甚至日照环境下天线的相关性能参数,这对实际射电天文观测数据中的天线性能参数带来的影响至关重要,可以提升观测数据质量;同时如果配合主动面型控制系统,可以形成一个准实时的闭环控制系统,可以真正做到任意俯仰角度天线性能的最佳化;By completing the real-time measurement of the surface shape of a large parabolic antenna, we can quickly learn the relevant performance parameters of the antenna in the current pitch angle, wind speed, temperature and even sunlight environment. This has a crucial impact on the antenna performance parameters in actual radio astronomy observation data. It can improve the quality of observation data; at the same time, if combined with the active surface control system, a quasi-real-time closed-loop control system can be formed, which can truly optimize the performance of the antenna at any pitch angle;
为此本发明提出的采用无人机快速拍摄实现计算机视觉技术,为国内大型抛物面天线面板精度测量提供了新思路,同时项目也以期将成果推广到将来的天线测量系统,提高数据质量。For this reason, the computer vision technology proposed by this invention using drones to quickly shoot provides a new idea for the accuracy measurement of large domestic parabolic antenna panels. At the same time, the project also hopes to promote the results to future antenna measurement systems and improve data quality.
附图说明Description of the drawings
图1为本发明装置结构示意图;Figure 1 is a schematic structural diagram of the device of the present invention;
图2为天线面型误差示意图;Figure 2 is a schematic diagram of the antenna surface error;
图3为天线面板编号分布;Figure 3 shows the antenna panel number distribution;
图4为标示图片示意图;Figure 4 is a schematic diagram of the marked picture;
图5为标示图片示意图。Figure 5 is a schematic diagram of the labeled image.
具体实施方式Detailed ways
如图1-5所示,基于无人机的大型抛物面天线面型精度测试系统由探测部分和数据处理部分两部分依次连接组成:As shown in Figure 1-5, the UAV-based large parabolic antenna surface accuracy testing system consists of two parts: the detection part and the data processing part, which are connected in sequence:
探测部分由搭载摄像头的多轴无人机、黏贴于天线表面的识别标记、激光定标参考子系统以及信号接收发射模块Ⅰ组成;The detection part consists of a multi-axis UAV equipped with a camera, an identification mark affixed to the surface of the antenna, a laser calibration reference subsystem and a signal receiving and transmitting module I;
A、多轴无人机飞行器及其搭载的摄像头构成拍摄子系统,多轴飞行器为六轴飞行器,然后悬挂摄像头,摄像头内集成了存储卡可以将拍摄到的图片进行备份存储;A. The multi-copter UAV and its mounted camera constitute the shooting subsystem. The multi-copter is a six-copter, and then the camera is suspended. A memory card is integrated in the camera to back up and store the captured pictures;
同时无人机携带信号接收发射模块Ⅰ,该模块与摄像头和无人机的飞行控制电路相连,该模块采用wifi、3G或者4G等无线频率进行发射和接收;用于将摄像头拍摄到的图像调制成无线信号传送给地面的数据处理部分,同时接收地面数据处理部分发来的停止拍摄指令,在拍摄完所有的标示后地面数据处理部分发来停止飞行的命令,无人机停止飞行;At the same time, the UAV carries a signal receiving and transmitting module I, which is connected to the camera and the flight control circuit of the UAV. This module uses wireless frequencies such as wifi, 3G or 4G to transmit and receive; it is used to modulate the images captured by the camera. The wireless signal is transmitted to the ground data processing part, and at the same time, the ground data processing part receives the stop shooting command. After shooting all the marks, the ground data processing part sends a stop flight command, and the drone stops flying;
B、位置识别标记粘贴于天线主反射面表面,其有具有高光敏性的材料组成,易于被摄像头识别;每个标示具有两两不同的识别特征,该特征可以是打印在标示上光敏材料制成的数字,数字表示了天线的面板的编号(图4);B. The position identification mark is pasted on the surface of the main reflective surface of the antenna. It is composed of highly photosensitive materials and is easy to be recognized by the camera. Each mark has two different identification features, which can be made of photosensitive materials printed on the mark. The number represents the number of the antenna panel (Figure 4);
也可以是通过不同的形状组合构成;例如:识别标记设计为圆形,为天线每一环道的面板靶点分配一种颜色;为天线每一扇区的面板分配一种颜色,在某一环道和某一扇区交点处面板的靶点则为两种颜色的半圆组成(图5);It can also be composed of different shape combinations; for example: the identification mark is designed to be circular, and a color is assigned to the panel target point of each loop of the antenna; a color is assigned to the panel of each sector of the antenna, and in a certain The target point on the panel at the intersection of the ring channel and a certain sector is composed of semicircles of two colors (Figure 5);
C、激光定标参考子系统包括激光发射器和激光吸收器;C. The laser calibration reference subsystem includes a laser transmitter and a laser absorber;
该激光定标参考子系统固定于天线面显眼处,适合无人机在任何角度均可拍摄到该激光束,其中激光发射器发射的激光到激光吸收器的距离可以精确测量得到,这就为整个测量提供了基准。The laser calibration reference subsystem is fixed at a conspicuous place on the antenna surface. It is suitable for drones to capture the laser beam at any angle. The distance between the laser emitted by the laser transmitter and the laser absorber can be accurately measured. This is The entire measurement provides a baseline.
数据处理部分包括信号接收发射模块Ⅱ、计算机。The data processing part includes signal receiving and transmitting module II and computer.
信号接收发射模块Ⅱ采用wifi、3G或者4G等无线频率进行接收和发射,主要接收无人机发来图像信号发射飞行控制命令,在无人机拍摄完所有的标示后向无人机发送;The signal receiving and transmitting module II uses wireless frequencies such as wifi, 3G or 4G to receive and transmit. It mainly receives image signals from the drone and transmits flight control commands, and sends them to the drone after the drone has photographed all the signs;
计算机采用常规数据处理软件,对每次无人机发来的图像进行识别后,查找该图像所在的天线位置,并进行虚拟三维定位,实现对整个天线面型的三维复原,当无人机完成所有标示的拍摄后并能完全复原天线面型后,通过数据发射-接收模块向无人机发送停止拍摄信息;The computer uses conventional data processing software to identify each image sent by the drone, find the location of the antenna where the image is located, and perform virtual three-dimensional positioning to achieve a three-dimensional restoration of the entire antenna surface. When the drone completes After all marked areas are photographed and the antenna surface shape can be completely restored, a stop shooting message is sent to the drone through the data transmitting and receiving module;
根据所拍摄到的激光束长度,精确标定各个位置标示之间的相对位置,这样就恢复了天线面型的精确三维结构,获得了当前抛物面面型的误差分布,达到测量天线面型精度的目的。According to the length of the photographed laser beam, the relative position between each position mark is accurately calibrated. This restores the precise three-dimensional structure of the antenna surface, obtains the error distribution of the current parabolic surface, and achieves the purpose of measuring the accuracy of the antenna surface. .
在测试过程中,假设针对的是半径为a,焦长为f的抛物反射面天线,由于反射面位于馈源的远区,则由馈源发出的电磁波,经反射面到达口径面。通常表面误差也不会很大,可认为表面误差对口径面电磁场幅度的影响可以忽略,只会引起口径面上电磁场的相位误差。表面误差的表示形式有轴向误差、径向误差和法向误差,这里采用轴向误差表示表面误差信息。其中图2中虚线为反射面变形后的位置,依据图中的几何关系,光程差为:During the test, it is assumed that a parabolic reflector antenna with a radius a and a focal length f is used. Since the reflector is located in the far area of the feed source, the electromagnetic waves emitted by the feed source reach the aperture surface through the reflector. Usually the surface error is not very large. It can be considered that the impact of the surface error on the amplitude of the electromagnetic field on the aperture surface can be ignored, and it will only cause the phase error of the electromagnetic field on the aperture surface. The expression forms of surface error include axial error, radial error and normal error. Here, axial error is used to represent surface error information. The dotted line in Figure 2 is the position of the reflective surface after deformation. According to the geometric relationship in the figure, the optical path difference is:
电磁波经反射体反射由于Δz存在引起的光程差为:The optical path difference caused by the presence of Δz when the electromagnetic wave is reflected by the reflector is:
Δδ=Δz(1+cosξ)=2Δzcos2(ξ/2) (1)Δδ=Δz(1+cosξ)=2Δzcos 2 (ξ/2) (1)
对于不同的电磁波(λ)Δz引起的相位误差为:The phase error caused by Δz for different electromagnetic waves (λ) is:
Δz包含系统误差和随机误差:Δz includes systematic errors and random errors:
Δz=Δzr+Δzs (3)Δz=Δz r +Δz s (3)
那么So
随机误差可通过面板的制造精度来确定,通常由制造公差来表示,需通过概率方法处理;系统误差则需对天线结构进行有限元分析,来确定其变形信息Δz;Random errors can be determined by the manufacturing accuracy of the panel, usually represented by manufacturing tolerances, and need to be processed through probabilistic methods; systematic errors require finite element analysis of the antenna structure to determine its deformation information Δz;
设反射面天线的理想设计形状为:z0=f0(ρ',φ');在各种载荷(风、重力等)的影响下,反射面的实际形式是:Assume that the ideal design shape of the reflecting surface antenna is: z 0 = f 0 (ρ', φ'); under the influence of various loads (wind, gravity, etc.), the actual form of the reflecting surface is:
z(ρ',φ')=z0+Δzs=f0(ρ',φ')+Δzs(ρ',φ') (6)z(ρ',φ')=z 0 +Δz s =f 0 (ρ',φ')+Δz s (ρ',φ') (6)
根据结构刚度方程:According to the structural stiffness equation:
[K]{δ}={p} (7)[K]{δ}={p} (7)
其中[K]为结构刚度矩阵,{δ}为节点位移向量,{p}为载荷向量。Where [K] is the structural stiffness matrix, {δ} is the node displacement vector, and {p} is the load vector.
求解方程,可得反射面的节点位移向量:Solving the equation, we can get the node displacement vector of the reflecting surface:
{δi}={Δρi',Δφi',Δzi'} (8){δ i }={Δρ i ', Δφ i ', Δz i '} (8)
天线面型形变后的节点坐标信息为:The node coordinate information after the antenna surface deformation is:
{ρi',φi',z0i}+{δi}={ρi'+Δρi',φi'+Δφi',z0i+Δz0i} (9){ρ i ',φ i ',z 0i }+{δ i }={ρ i '+Δρ i ',φ i '+Δφ i ',z 0i +Δz 0i } (9)
通过插值或者拟合的方法,可给出变形后反射面的形状z(ρ',φ');利用式(5),则可以确定变形后反射面的轴向误差Δzs(ρ',φ');Through interpolation or fitting methods, the shape z(ρ',φ') of the deformed reflective surface can be given; using equation (5), the axial error Δz s (ρ',φ') of the deformed reflective surface can be determined ');
根据天线方向图的计算公式:According to the calculation formula of the antenna pattern:
E(θ,φ)=∫∫E0(ρ',φ')ejkρ'sinθcos(φ-φ')ρ'dρ'dφ' (10)E(θ,φ)=∫∫E 0 (ρ',φ')e jkρ'sinθcos(φ-φ') ρ'dρ'dφ' (10)
根据口径场法,变形反射面天线的远场方向图函数为:According to the aperture field method, the far-field pattern function of the deformed reflector antenna is:
其中:为口径面A上的相位误差,E0(ρ',φ')为口径面A上的场分布函数;由于随机误差需要通过概率的方法进行处理;因此,对口径面进行网格划分,采用图3所示沿径向划分为N个环,每一环又划分为Kn个网格,假定每一个网格内随机的相位误差/>是相同的,且等于该网格区域内中心点处相位误差;in: is the phase error on the aperture surface A, and E 0 (ρ',φ') is the field distribution function on the aperture surface A; since random errors need to be processed through the probability method; therefore, the aperture surface is meshed using As shown in Figure 3, it is divided into N rings along the radial direction, and each ring is divided into K n grids. It is assumed that there is a random phase error in each grid/> are the same and equal to the phase error at the center point in the grid area;
将方程离散化表示为(随机误差作用):The discretization of the equation is expressed as (random error effect):
对于单块面板产生的远场电势可以表示为(系统误差作用):The far-field potential generated by a single panel can be expressed as (system error effect):
写成离散形式的天线辐射功率方向图为:The antenna radiation power pattern written in discrete form is:
平均辐射功率方向图为:The average radiated power pattern is:
设网格间的随机误差相互独立,且每环上的随机误差满足均值为0,标准差为εnεm的正态分布,则得到:Assume that the random errors between the grids are independent of each other, and the random errors on each ring satisfy the normal distribution with a mean of 0 and a standard deviation of ε n ε m , then we get:
面板制造误差的均方根和标准差之间的关系为:The relationship between the root mean square and standard deviation of panel manufacturing errors is:
((εrms)n是第n环的表面制造误差) (17) ((εrms) n is the surface manufacturing error of the nth ring) (17)
化简天线平均辐射功率公式得到表面误差含有系统和随机误差情况下,对天线平均辐射功率方向图影响的误差模型如下:Simplifying the formula of the average radiated power of the antenna, the error model that affects the average radiated power pattern of the antenna when the surface error contains systematic and random errors is as follows:
通过表面误差对反射面天线电性能影响的数学模型,分析了随机误差和系统误差单独存在时,对电性能的影响情况。Through the mathematical model of the impact of surface errors on the electrical performance of the reflector antenna, the impact of random errors and systematic errors on the electrical performance when they exist alone is analyzed.
在实际测量中,首先在抛物面天线表面黏贴标示,一般说来40米口径的抛物面天线需要1400个左右的标示,它们均匀黏贴天线表面;In actual measurement, labels are first pasted on the surface of the parabolic antenna. Generally speaking, a 40-meter diameter parabolic antenna requires about 1,400 labels, and they are evenly pasted on the surface of the antenna;
然后设置激光收发器位置,将收发器固定于天线显眼处,一般固定于天线馈源不同的撑杆上,距离为3-5米为宜,获得标尺距离后传给处理计算机;Then set the position of the laser transceiver, and fix the transceiver at a conspicuous place of the antenna. Generally, it is fixed on a support pole with different antenna feed sources. The distance is preferably 3-5 meters. The ruler distance is obtained and then transmitted to the processing computer;
再次,在天气允许的情况下施放无人机,对所有标示进行拍摄,同时一并拍摄激光标尺长度,还要注意天线和阳光的反射,尽量不要受到阳光污染;Again, when the weather permits, use the drone to take pictures of all the signs and the length of the laser ruler. Pay attention to the reflection of the antenna and sunlight, and try not to be polluted by sunlight;
在拍摄的同时通过无人机携带的信号接收发射模块Ⅰ将拍摄到的图像传给计算机;While shooting, the captured images are transmitted to the computer through the signal receiving and transmitting module I carried by the drone;
在计算机中采用AICON的摄影测量系统的图像处理软件将无人机拍摄到的图像进行拼接,同时完成与激光标尺长度的比对,完成拼接后向无人机发送停止拍摄命令,无人机即可收回。The image processing software of AICON's photogrammetry system is used in the computer to splice the images captured by the drone, and at the same time complete the comparison with the length of the laser ruler. After the splicing is completed, a stop shooting command is sent to the drone, and the drone is Can be recovered.
具体操作:1、粘贴识别标记;2、坐标定位,以天线中心体上法兰粘贴的识别标记确定参考坐标;3、通过专业摄影测量系统将靶标各点经行数据采集和虚拟三维定位,实现对整个天线面型的三位复原。Specific operations: 1. Paste the identification mark; 2. Coordinate positioning, use the identification mark pasted on the flange on the antenna center body to determine the reference coordinates; 3. Use the professional photogrammetry system to collect data and virtual three-dimensional positioning of each point of the target to achieve Three-dimensional reconstruction of the entire antenna surface.
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