This paper mainly studies the related mathematical models of ideal paraboloid and convex lens imaging, and studies the optimization problem of "FAST" active reflector by using particle swarm optimization algorithm. First of all, according to the most basic parabolic equation, through the constraint on the distance between the actuator and the adjacent nodes in the known conditions, the ideal paraboloid problem is transformed into an optimization problem according to the motion range of the center point of the paraboloid. MATLAB is used to program, and particle swarm optimization algorithm is used to obtain the optimal paraboloid. Then, due to the change of the position of the celestial body to be observed, the focus of each cable point reaching the intersection paraboloid of the origin is further calculated, that is, the ideal position of the cable point on the paraboloid, and then the ideal paraboloid is obtained. Then, under the condition that the distance between the adjacent main cable nodes does not exceed 0.07%, and the radial expansion range of the actuator is-0.6 to 0.6 meters, the ideal paraboloid is optimized so that the deviation of the adjusted node position relative to the ideal paraboloid is minimized. Finally, the particle swarm optimization algorithm is used to obtain the optimal solution in MATLAB.

Jiahui Jiang, Shuang Liang, Qinyun Gao. Research on "Fast" active Reflector Optimization based on Particle Swarm Optimization algorithm. Academic Journal of Engineering and Technology Science (2021) Vol. 4, Issue 6: 26-30. https://doi.org/10.25236/AJETS.2021.040605.

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