曹原诚, 薛云飞, 王孝强, 李明奇. 基于单目标优化模型的“FAST”反射面调节设计[J]. 实验科学与技术, 2023, 21(2): 28-33. DOI: 10.12179/1672-4550.20210584
引用本文: 曹原诚, 薛云飞, 王孝强, 李明奇. 基于单目标优化模型的“FAST”反射面调节设计[J]. 实验科学与技术, 2023, 21(2): 28-33. DOI: 10.12179/1672-4550.20210584
CAO Yuancheng, XUE Yunfei, WANG Xiaoqiang, LI Mingqi. Design of “FAST” Reflection Surface Adjustment Based on a Single-objective Optimization Model[J]. Experiment Science and Technology, 2023, 21(2): 28-33. DOI: 10.12179/1672-4550.20210584
Citation: CAO Yuancheng, XUE Yunfei, WANG Xiaoqiang, LI Mingqi. Design of “FAST” Reflection Surface Adjustment Based on a Single-objective Optimization Model[J]. Experiment Science and Technology, 2023, 21(2): 28-33. DOI: 10.12179/1672-4550.20210584

基于单目标优化模型的“FAST”反射面调节设计

Design of “FAST” Reflection Surface Adjustment Based on a Single-objective Optimization Model

  • 摘要: 针对“FAST”主动反射面的形状调节问题,利用抛物面的空间几何性质,建立了理想抛物面优化模型,反射面调节优化模型和馈源舱接收比计算模型。首先,根据给定的方位角和仰角,建立了以抛物面顶点伸缩量为决策变量的理想抛物面单目标优化模型,设计了变步长搜索算法求解出最佳抛物面顶点伸缩量后即确定了理想抛物面。然后,建立了以工作区域内所有主索点伸缩量为决策变量、工作区域内所有三角形反射面板上所有特征点沿径向与理想抛物面的距离偏差均方根最小为优化目标的反射面调节单目标优化模型,采用遗传算法求解出工作区域内所有主索点伸缩量,即为反射面板的调节方案。最后,为衡量主动反射面调节情况的优劣,该文建立了馈源舱接收比计算模型,采用蒙特卡罗算法求解出反射面板调节前后馈源舱的接收比。

     

    Abstract: For the shape regulation problem of the “FAST” active reflection panels, the ideal parabolic optimization model, the reflection surface adjustment optimization model and the focus cabin reception ratio calculation model are established by utilizing the geometric properties of space of the parabolic surface. Firstly, in accordance with the given azimuth and elevation, an ideal parabolic single-objective optimization model with the amount of expansion and contraction of parabolic vertex as a decision variable is established, and a variable step search algorithm is designed to solve the amount of expansion and contraction of the optimal parabolic vertex, which means the ideal paraboloid is determined. Secondly, this paper has established the reflection surface adjustment optimization model that takes the expansion and contraction of all main cable points in the working area as decision variables and the minimum root mean square deviation of all the characteristic points on all triangular reflector panels in the working area in the radial direction from the ideal paraboloid as the optimization objective, and has solved the amount of expansion and contraction of all main cable points in the working area by adopting genetic algorithm, which means the adjustment scheme of reflection panels is determined. Finally, in order to measure the adjustment of the active reflection panels, this paper has established a feedback source cabin reception ratio calculation model, and has used the Monte Carlo algorithm to solve the reception ratio of the focus cabin before and after the adjustment.

     

/

返回文章
返回