A Method for Rapid Measurement of the Deformation and Spatial Attitude of Large Radar Antennas Inside Radomes
It is challenging to measure, analyze, and control the deformation and space attitude of antennas in narrow radomes through geometric measurement to ensure the accuracy of phased array radar application. In this manuscript, a method for rapid measurement of antennas by adopting the combination of ph...
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| Format: | Article |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9416643/ |
| _version_ | 1819292423691436032 |
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| author | Xiao Guan Yaming Xu Cheng Xing |
| author_facet | Xiao Guan Yaming Xu Cheng Xing |
| author_sort | Xiao Guan |
| collection | DOAJ |
| description | It is challenging to measure, analyze, and control the deformation and space attitude of antennas in narrow radomes through geometric measurement to ensure the accuracy of phased array radar application. In this manuscript, a method for rapid measurement of antennas by adopting the combination of photogrammetry system, laser tracker and total station was proposed. The photogrammetric method was used with a homemade auxiliary tool to measure and calculate the antenna’s deformation under different temperatures and pitch angles. Mapping relations between the instrumental coordinate systems of photogrammetry system, laser tracker and total station were established through common points, including target balls and reflectors. Coordinates of mark points on antenna surface were converted from photogrammetric coordinate system to laser tracker’s and total station’s coordinate system. Thus, antenna’s pitch angles relative to the local horizontal plane and deflection angles relative to the north of the engineering coordinate system were calculated. Planar fitting, coordinate transformation and space attitude calculation were all carried out in the Spatial Analyzer (SA) software. The photogrammetric method detected the antenna’s gravitational deformation sensitively, the maximum Root Mean Square Residual (RMSR) of the reference length was <inline-formula> <tex-math notation="LaTeX">$54~\mu \text{m}$ </tex-math></inline-formula>, and that of the mark points was <inline-formula> <tex-math notation="LaTeX">$59~\mu \text{m}$ </tex-math></inline-formula>, which was stably in line with its nominal accuracy. Deviations caused by coordinate transformation had no significant effect on the calculation of antenna’s spatial attitude, for the maximum deviation between the converted and measured coordinates in laser tracker’s coordinate system was 0.139 mm, and that in total station’s coordinate system was 1.037 mm, both of which were within reasonable limits of the derived theoretical maximum deviations between different instruments. As a result, the maximum deviation between the calculated value and servo system’s nominal value of antenna’s pitch angle was <inline-formula> <tex-math notation="LaTeX">$59.4''$ </tex-math></inline-formula>, and that of antenna’s deflection angle was <inline-formula> <tex-math notation="LaTeX">$91.87''$ </tex-math></inline-formula>. This method’s efficiency was greatly improved by about ten times compared with traditional methods through statistics and estimates. |
| first_indexed | 2024-12-24T03:54:18Z |
| format | Article |
| id | doaj.art-bb5310661bc444c0a48ccf88655c49d6 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-24T03:54:18Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
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| series | IEEE Access |
| spelling | doaj.art-bb5310661bc444c0a48ccf88655c49d62022-12-21T17:16:30ZengIEEEIEEE Access2169-35362021-01-019646866469510.1109/ACCESS.2021.30760009416643A Method for Rapid Measurement of the Deformation and Spatial Attitude of Large Radar Antennas Inside RadomesXiao Guan0https://orcid.org/0000-0002-3599-4768Yaming Xu1https://orcid.org/0000-0001-6422-0684Cheng Xing2https://orcid.org/0000-0001-9367-0107School of Geodesy and Geomatics, Wuhan University, Wuhan, ChinaSchool of Geodesy and Geomatics, Wuhan University, Wuhan, ChinaSchool of Geodesy and Geomatics, Wuhan University, Wuhan, ChinaIt is challenging to measure, analyze, and control the deformation and space attitude of antennas in narrow radomes through geometric measurement to ensure the accuracy of phased array radar application. In this manuscript, a method for rapid measurement of antennas by adopting the combination of photogrammetry system, laser tracker and total station was proposed. The photogrammetric method was used with a homemade auxiliary tool to measure and calculate the antenna’s deformation under different temperatures and pitch angles. Mapping relations between the instrumental coordinate systems of photogrammetry system, laser tracker and total station were established through common points, including target balls and reflectors. Coordinates of mark points on antenna surface were converted from photogrammetric coordinate system to laser tracker’s and total station’s coordinate system. Thus, antenna’s pitch angles relative to the local horizontal plane and deflection angles relative to the north of the engineering coordinate system were calculated. Planar fitting, coordinate transformation and space attitude calculation were all carried out in the Spatial Analyzer (SA) software. The photogrammetric method detected the antenna’s gravitational deformation sensitively, the maximum Root Mean Square Residual (RMSR) of the reference length was <inline-formula> <tex-math notation="LaTeX">$54~\mu \text{m}$ </tex-math></inline-formula>, and that of the mark points was <inline-formula> <tex-math notation="LaTeX">$59~\mu \text{m}$ </tex-math></inline-formula>, which was stably in line with its nominal accuracy. Deviations caused by coordinate transformation had no significant effect on the calculation of antenna’s spatial attitude, for the maximum deviation between the converted and measured coordinates in laser tracker’s coordinate system was 0.139 mm, and that in total station’s coordinate system was 1.037 mm, both of which were within reasonable limits of the derived theoretical maximum deviations between different instruments. As a result, the maximum deviation between the calculated value and servo system’s nominal value of antenna’s pitch angle was <inline-formula> <tex-math notation="LaTeX">$59.4''$ </tex-math></inline-formula>, and that of antenna’s deflection angle was <inline-formula> <tex-math notation="LaTeX">$91.87''$ </tex-math></inline-formula>. This method’s efficiency was greatly improved by about ten times compared with traditional methods through statistics and estimates.https://ieeexplore.ieee.org/document/9416643/Coordinate transformationflatnesslaser trackerphotogrammetry systemspatial attitudetotal station |
| spellingShingle | Xiao Guan Yaming Xu Cheng Xing A Method for Rapid Measurement of the Deformation and Spatial Attitude of Large Radar Antennas Inside Radomes IEEE Access Coordinate transformation flatness laser tracker photogrammetry system spatial attitude total station |
| title | A Method for Rapid Measurement of the Deformation and Spatial Attitude of Large Radar Antennas Inside Radomes |
| title_full | A Method for Rapid Measurement of the Deformation and Spatial Attitude of Large Radar Antennas Inside Radomes |
| title_fullStr | A Method for Rapid Measurement of the Deformation and Spatial Attitude of Large Radar Antennas Inside Radomes |
| title_full_unstemmed | A Method for Rapid Measurement of the Deformation and Spatial Attitude of Large Radar Antennas Inside Radomes |
| title_short | A Method for Rapid Measurement of the Deformation and Spatial Attitude of Large Radar Antennas Inside Radomes |
| title_sort | method for rapid measurement of the deformation and spatial attitude of large radar antennas inside radomes |
| topic | Coordinate transformation flatness laser tracker photogrammetry system spatial attitude total station |
| url | https://ieeexplore.ieee.org/document/9416643/ |
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