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基于截痕法和遗传算法的FAST主动反射面形状调节模型研究 被引量:1

Study on the Model of FAST Active Reflector Adjustment Based on Truncation Method and Genetic Algorithm
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摘要 文章旨在建立FAST(Five-hundred-meter Aperture Spherical radio Telescope)主动反射面调节模型,使得馈源舱能够最大概率地接收天体电磁波经反射面反射后的信号.根据主动反射面系统相关数据,首先建立假设目标天体在基准球面正上方的抛物线模型,利用遗传算法求解理想状态下的抛物面方程;然后通过空间旋转矩阵和截痕法,建立天体方位变换模型,求出天体不在基准球面正上方时的理想抛物面和反射面板的调节模型,进而得到调节后的馈源舱接收比和基准反射球面接收比.结果表明,该模型可使得馈源舱的接收比达到74.98%的水平,对实际的射电望远镜和主动反射面等相关内容有一定的借鉴意义. The key of the FAST(Five-hundred-meter Aperture Spherical radio Telescope)project is to achieve the shape adjustment of the whole network of active reflection surfaces so that the feed cabin can receive the signals of the celestial electromagnetic wave reflected by the reflection surface with maximum probability.In this paper,based on the data of the FAST active reflector system,a preliminary determination model of the parabola is established on the assumption that the target object is directly above the reference sphere,and the parabola equation under ideal conditions is solved with the genetic algorithm.Furthermore,the celestial body orientation transformation model is proposed using the space rotation matrix and the truncation method.The ideal paraboloid and the adjusting model of the reflector panel are presented when the target celestial body is placed no longer directly above the reference sphere.Therefore,the adjusting receiving ratio of the feed capsule and the reference reflecting sphere can be obtained.Experimental results show that our models can make the receiving ratio of the feed cabin reach 74.98%,which can be used as a reference for practical radio telescopes and active reflectors.
作者 庞登浩 胡帆汛 李哲楷 连横 PANG Denghao;HU Fanxun;LI Zhekai;LIAN Heng(School of Internet,Anhui University,230000,Hefei,Anhui,China)
出处 《淮北师范大学学报(自然科学版)》 CAS 2022年第3期31-35,共5页 Journal of Huaibei Normal University:Natural Sciences
基金 安徽省自然科学基金项目(2008085QA19) 安徽大学大学生创新创业训练计划项目(S202110357490)。
关键词 FAST主动反射面 遗传算法 空间旋转矩阵 截痕法 FAST active reflector genetic algorithm space rotation matrix truncation method
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