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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 481364, 5 pages
Research Article

Improved Formulation for the Optimization of Wind Turbine Placement in a Wind Farm

Department of Energy IT, Gachon University, Seongnam 461-701, Republic of Korea

Received 19 February 2013; Revised 14 June 2013; Accepted 16 June 2013

Academic Editor: Ming-Hung Hsu

Copyright © 2013 Zong Woo Geem and Junhee Hong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


As an alternative to fossil fuels, wind can be considered because it is a renewable and greenhouse gas-free natural resource. When wind power is generated by wind turbines in a wind farm, the optimal placement of turbines is critical because different layouts produce different efficiencies. The objective of the wind turbine placement problem is to maximize the generated power while minimizing the cost in installing the turbines. This study proposes an efficient optimization formulation for the optimal layout of wind turbine placements under the resources (e.g., number of turbines) or budget limit by introducing corresponding constraints. The proposed formulation gave users more conveniences in considering resources and budget bounds. After performing the optimization, results were compared using two different methods (branch and bound method and genetic algorithm) and two different objective functions.