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Wind turbines type and number choice using combinatorial optimization

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  • Mustakerov, Ivan
  • Borissova, Daniela

Abstract

The paper addresses the problem associated with the optimal wind park design. A combinatorial optimization model for wind turbines type and number choice and placement considering the given wind conditions and wind park area is developed. The wind park investment costs and the total power relation as function of wind turbines number and type are used as optimization criteria. The optimization problem is formulated as a single criterion mixed-integer nonlinear discrete combinatorial task. The different wind park conditions are introduced into optimization tasks formulation as variables relations and restrictions. Two basic wind directions cases are taken into consideration – uniform and predominant wind directions for two wind park area shapes – square and rectangular. The developed wind park design approach was tested numerically by solving of different optimization tasks formulations based on wind turbines real parameters data. The numerical testing shows the applicability of the developed optimization approach. Using it will help to find mathematically reasoned wind turbines choice as contradiction to the heuristic approaches.

Suggested Citation

  • Mustakerov, Ivan & Borissova, Daniela, 2010. "Wind turbines type and number choice using combinatorial optimization," Renewable Energy, Elsevier, vol. 35(9), pages 1887-1894.
    • Handle: RePEc:eee:renene:v:35:y:2010:i:9:p:1887-1894
    DOI: 10.1016/j.renene.2009.12.012
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    References listed on IDEAS

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    1. Marmidis, Grigorios & Lazarou, Stavros & Pyrgioti, Eleftheria, 2008. "Optimal placement of wind turbines in a wind park using Monte Carlo simulation," Renewable Energy, Elsevier, vol. 33(7), pages 1455-1460.
    2. Grady, S.A. & Hussaini, M.Y. & Abdullah, M.M., 2005. "Placement of wind turbines using genetic algorithms," Renewable Energy, Elsevier, vol. 30(2), pages 259-270.
    3. Kongnam, C. & Nuchprayoon, S. & Premrudeepreechacharn, S. & Uatrongjit, S., 2009. "Decision analysis on generation capacity of a wind park," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(8), pages 2126-2133, October.
    4. Youcef Ettoumi, Fatiha & Adane, Abd El Hamid & Benzaoui, Mohamed Lassaad & Bouzergui, Nabila, 2008. "Comparative simulation of wind park design and siting in Algeria," Renewable Energy, Elsevier, vol. 33(10), pages 2333-2338.
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