Optimization of Positioning of Interferometric Array Antennas Using Division Algorithm for Radio Astronomy Applications

Abstract

The Square Kilometre Array (SKA) ushers in the new generation of large radio telescopes that will work at wavelengths between meters and centimeters. In order to competitively design interferometric antenna arrays such as SKA, it is crucial to focus on the optimization of system performance. In this paper, we contribute to the solution by introducing a new optimization algorithm called Division Algorithm (DA). This algorithm finds the optimal positions of antennas to simultaneously maximize u-v coverage and decrease sidelobe level (SLL). The DA is able to optimize the configuration of the interferometric array in both snapshot and Earth rotation synthesis observations. To demonstrate its efficiency, the DA is applied to configure an optimum 30-element array for the Giant Metrewave Radio Telescope. The proposed algorithm is able to improve the overlapped samples parameter by about 4% and the unsampled cells parameter by about 12%, at snapshot observation, compared to the Genetic Algorithm (GA). DA is able to improve these two parameters for a 6-hr tracking observation as well. Finally, the proposed algorithm is compared with the GA for different source declination. Results show that the DA is able to decrease the SLL better than the GA.

Modeling, design, and optimization of a cost‐effective and reliable hybrid renewable energy system integrated with desalination using the division algorithm

“…The DA has been simpler, more precise, faster, and more flexible than GA in solving problems. 27,58 In this paper, the DA has been developed to optimize the size of three SAHRES configurations by considering the constraints of the object function, such as the LPSL, A WT , A PV , and N BBS . Figure 5 demonstrates the implementation process of the division algorithm for this study.…”

“…Division algorithm can also work without operators, such as crossover and mutation, to reduce the complexity. The DA has been simpler, more precise, faster, and more flexible than GA in solving problems 27,58 …”

“…This improved genetic algorithm can overcome the weaknesses of the genetic algorithm, such as slow convergence speed. 12,27 2 | METHODOLOGY In this article, to meet the load demand from seawater reverse osmosis desalination, three stand-alone hybrid renewable energy systems, namely PV/WT/BBS/SWROD, PV/BBS/SWROD, and WT/BBS/SWROD, were designed, modeled, and optimized. For the optimal design of these systems, the DA is offered.…”

“…An improved genetic algorithm, called the division algorithm (DA), is developed to achieve these objectives. This improved genetic algorithm can overcome the weaknesses of the genetic algorithm, such as slow convergence speed 12,27 …”

Manx Arrays: Perfect Non‐Redundant Interferometric Geometries

“…In comparison (Boone, 2002), analyzed dense arrays and concluded that Gaussian radial‐distributions achieve a desired Gaussian beam. Numerous attempts at optimization of antenna placement have been reported (e.g., Boone, 2001; Cohanim et al., 2004; Cornwell, 1988; Gauci et al., 2013; Kogan, 2000; Kiehbadroudinezhad et al., 2017; Su et al., 2004). Consideration has also been given to how add to an existing array optimally (e.g., Karastergiou et al., 2006).…”