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

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.