Firstly, according to the symmetry and isotropy, the three-dimensional space is transformed into a two-dimensional plane, and the equation of the ideal parabola in the two-dimensional plane is determined. Then, the factors affecting the ideal paraboloid are analyzed, and the multi-objective optimization equation of the ideal paraboloid is established according to the influencing factors; Then the entropy weight method is used to weight each factor, the multi-objective optimization problem is transformed into a single objective optimization problem, and the optimal ideal paraboloid equation is obtained by traversing the value of h. Finally, the rotation transformation of the coordinate system is carried out according to the orientation of the target celestial body, and a new ideal paraboloid equation is obtained. It is found that a total of 692 main cable nodes participate in the adjustment, of which 515 corresponding actuators are extended and 177 corresponding actuators are shortened.

Huanfa Sun, Tongtong Li, Yunzhi Chen. Fast Active Reflector Adjustment Design Based on Ideal Paraboloid Optimization Model. Academic Journal of Engineering and Technology Science (2021) Vol. 4, Issue 9: 40-45. https://doi.org/10.25236/AJETS.2021.040908.

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