Academic Journal of Engineering and Technology Science, 2021, 4(6); doi: 10.25236/AJETS.2021.040605.

## Research on "Fast" active Reflector Optimization based on Particle Swarm Optimization algorithm

Author(s)

Jiahui Jiang, Shuang Liang, Qinyun Gao

Corresponding Author:
Jiahui Jiang
Affiliation(s)

School of Engineering, Shanghai Ocean University, Shanghai, 201306

### Abstract

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.

### Keywords

Active reflector, Ideal paraboloid, Optimization model, Particle swarm optimization algorithm

### Cite This Paper

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.

### References

[1] Zhu Lichun. Deformation control of active reflector of 500m aperture spherical radio telescope (FAST) [J]. Information Technology and Application of Scientific Research, 2012 Magi 3 (04): 67-75.

[2] LV Duanliang. The method of solving the equation of rotating surface [J]. Jiangxi Science, 2019. 37 (01): 24-25.

[3] Li Minghui, Zhu Lichun. Optimization analysis of instantaneous paraboloid deformation strategy of FAST [J]. Journal of Guizhou University (Natural Science Edition), 2012 Jing 29 (06): 24-288 43.

[4] Terminal pigment red. Research on FAST whole network control strategy based on particle swarm optimization algorithm [D]. Northeastern University, 2015.

[5] Xu Shuang. Research on displacement control of FAST nodes based on improved PSO_BP [D]. Northeastern University, 2014.