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Optimal Turbine Allocation for Offshore and Onshore Wind Farms

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Optimization in the Real World

Part of the book series: Mathematics for Industry ((MFI,volume 13))

Abstract

Green energy became a topic of great interest in the recent years, as every year the demand for energy is increasing and the old resources, fossil fuels in particular, are pollutant and are becoming scarce. As a result, many countries have ambitious plans regarding green energy production. In particular, lots of money and energy are spent on the optimal design of wind farms, as an efficient use of the available resources is instrumental for their economical success. In the present paper we address the optimization of turbine positions, which is one of the most relevant problems in the design of a wind farm, and propose a heuristic approach based on Mixed-Integer Linear Programming techniques. Computational results on very large scale instances prove the practical viability of the approach.

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Acknowledgments

The research of the first author was partially supported by Vattenfall BU Renewables and by the Denmark Innovation Fund. The remaining authors were supported by the University of Padova (Progetto di Ateneo “Exploiting randomness in Mixed Integer Linear Programming”), and by MiUR, Italy (PRIN project “Mixed-Integer Nonlinear Optimization: Approaches and Applications”). We thank Jesper Runge Kristoersen and Iulian Vranceanu from Vattenfall BU Renewables for their help in defining the cable routing constraints.

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Correspondence to Matteo Fischetti .

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Fischetti, M., Fischetti, M., Monaci, M. (2016). Optimal Turbine Allocation for Offshore and Onshore Wind Farms. In: Fujisawa, K., Shinano, Y., Waki, H. (eds) Optimization in the Real World. Mathematics for Industry, vol 13. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55420-2_4

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  • DOI: https://doi.org/10.1007/978-4-431-55420-2_4

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  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-55419-6

  • Online ISBN: 978-4-431-55420-2

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