Document Type



Available under a Creative Commons Attribution Non-Commercial Share Alike 4.0 International Licence


2.2 ELECTRICAL, ELECTRONIC, INFORMATION ENGINEERING, Electrical and electronic engineering


Manta ray foraging optimization (MRFO) algorithm is relatively a novel bio-inspired optimization technique directed to given real-world engineering problems. In this present work, wind turbines layout (WTs) inside a wind farm is considered a real nonlinear optimization problem. In spite of the better convergence of MRFO, it gets stuck into local optima for large problems. The chaotic sequences are among the performed techniques used to tackle this shortcoming and improve the global search ability. Therefore, ten chaotic maps have been embedded into MRFO. To affirm the performance of the suggested chaotic approach CMRFO, it was First assessed using the IEEE CEC-2017 benchmark functions. This examination has been systematically compared to eight well-known optimization algorithms and the original MRFO. The non-parametric Wilcoxon statistical analysis significantly demonstrates the superiority of CMRFO as it ranks first in most test suites. Secondly, the MRFO and its best enhanced chaotic version were tested on the complex problem of finding the optimal locations of wind turbines within a wind farm. Besides, the application of the CMRFO to the wind farm layout optimization (WFLO) problem aims to minimize the cost per unit power output and increase the wind-farm effciency and the electrical power engendered by all WTs. Two representative scenarios of the problem have been dealt with a square-shaped farm installed on an area of 2 km x 2 km, including variable wind direction with steady wind speed, and both wind direction and speed are variable. The WFLO outcomes reveal the CMRFO capability to find the optimal locations of WTs, which generates a maximum power for the minimum cost compared to three stochastic approaches and other previous studies. At last, the suggested CMRFO with Singer chaotic sequence has been successfully enhanced by accelerating the convergence and providing better accuracy to find the global optimum.



This work was supported by the National Research and Development Agency of Chile (ANID) under Grant ANID/Fondap/15110019. The work of Hossam M. Zawbaa was supported by the European Union's Horizon 2020 Research and Enterprise Ireland under the Marie Skªodowska-Curie Grant 847402

Creative Commons License

Creative Commons Attribution-Share Alike 4.0 International License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.