Heuristic Optimization in the Eolic Park Design

##plugins.themes.bootstrap3.article.main##

Julían Cantor National University of Colombia
Sergio Rivera Institute of electric energy, National University of San Juan. Postdoctoral associate, Massachusetts Institute of Technology, Cambridge, USA; Professor, National University of Colombia
Abstract
Optimization of energy costs by the location of turbines in the wind farm design is a problem that, in the last two decades, has become important. In order to solve it, Metaheuristics techniques of high level have been applied. In this article, an Eolic park model is detailed, and the importance of an optimal design of wind farms is stressed proposing the best location of the turbines in a layout. The layout refers to the discretization of the search field in a grid by means of a Cartesian coordinate arrangement for later encoding in a binary string: A one represents a turbine to be installed in the indicated position and a zero indicates otherwise. As such, this article shows the different metaheuristics applied to solve this problem and how these have had better results than empirical techniques traditionally used. On the other hand, a high level metaheuristic technique based on the hunting of the lion ant larva (Ant Lion Optimizer) and a technique derived from this work that uses binary variables (Binary Ant Lion Optimizer) are used. Finally, a wind farm design problem is introduced. This problem uses an energy cost estimator that has models of wind distribution, wake effect, and cost function. This problem was studied to determine the lowest cost through low level heuristics and through metaheuristics; the best result was given by using the algorithm of binary variables with low level heuristics.
Keywords

Downloads

Download data is not yet available.

##plugins.themes.bootstrap3.article.details##

Author Biographies / See

Julían Cantor, National University of Colombia

Electrical engineer,

Sergio Rivera, Institute of electric energy, National University of San Juan. Postdoctoral associate, Massachusetts Institute of Technology, Cambridge, USA; Professor, National University of Colombia

Doctor of engineering,
References

Bilbao, M., Alba, E. 2009. Ga and pso applied to wind energy optimization. Master’s thesis, Universidad Nacional de la Patagonia Austral, Universidad de Málaga.

Blum, C., 2005. Ant colony optimization: Introduction and recent trends. Physics of Life Reviews, 2(4):353–373. https://doi.org/10.1016/j.plrev.2005.10.001

Cantor, J., 2016. Optimización en el diseño de parques eólicos aplicando técnicas heurísticas y metaheurísticas. Dirigida por Sergio Rivera, tesis pregrado, Universidad Nacional de Colombia.

Coss, R., 1981. Análisis y evaluación de proyectos de inversión. Editorial Limusa, Lima.

Eroglu, Y., Ulusam, S., 2012. Design of wind farm layout using ant colony algorithm. Renewable Energies, 44:53–62. https://doi.org/10.1016/j.renene.2011.12.013

Gallego, R., Toro, E., Escobar, A., 2015. Técnicas Heurísticas y Metaheurísticas. Editorial UTP, Pereira, Colombia.

Gradya, S., Hussainia, Y., Abdullahb, M., 2004. Placement of wind turbines using genetic algorithms. Renewable Energies, 30(2):259–270. https://doi.org/10.1016/j.renene.2004.05.007

IRENA., 2016. International renewable energy agency: Wind power technology brief.

Kennedy, J., Eberhart, R., 2009. Particle swarm optimization. Master’s thesis, Universidad Nacional de la Patagonia Austral, Universidad de Málaga.

Kusiak, A., Song, Z., 2010. Design of wind farm layout for maximum wind energy capture. Renewable Energies, 35(3):685–694.https://doi.org/10.1016/j.renene.2009.08.019

Mirjalili, S., 2015. The ant lion optimizer. Advances in Engineering Software, 83:80–98. https://doi.org/10.1016/j.advengsoft.2015.01.010

Mirjalili, S., Mirjalili, S. M., Yang, X. S., 2014. Binary bat algorithm. Neural Computing and Applications, 25(3):663–681. https://doi.org/10.1016/j.advengsoft.2015.01.010

Mosetti, G., Poloni, C., Diviacco, B., 1994. Optimization of wind turbine positioning in large windfarms by means of a genetic algorithm. Wind Engineering and Industrial Aerodynamics, 51(1):105–116. https://doi.org/10.1016/0167-6105(94)90080-9

Rivera, S., Gutiérrez, J., 2017. Benchmark functions optimization using binary biogeography-based optimization with aleatory-mixed migration (bbbo-amm) and binary ant-lion optimizer (balo). under review.

Saavedra-Moreno, B., Salcedo-Sanz, S., Paniagua-Tineo, A., Prieto, L., Portilla-Figueras, A., 2011. Seeding evolutionary algorithms with heuristics for optimal wind turbines positioning in wind farms. Renewable Energies, 36(11):2838–2844.https://doi.org/10.1016/j.renene.2011.04.018

Samorani, M., 2013. Handbook of Wind Power Systems. The Wind Farm Layout Optimization Problem. Springer Verlag Berlin Heidelberg, New Delhi, India.

WFLO., 2015. Wind farm layout optimization competition. Consultado en 2015.

https://www.irit.fr/windcompetition/2015/#home

OJS System - Metabiblioteca |