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LAYOUT OPTIMIZATION OF A WIND FARM IN COMPLEX TERRAIN USING FAST NUMERICAL MODELLING METHOD
Abstract
One of the crucial problems for wind farm development is wind farm layout optimization. It seeks the optimal positions of wind turbines inside a wind farm, so as to maximize and/or minimize a single objective or multiple objectives, while satisfying certain constraints. Although this problem for wind farms in flat terrain or offshore has been investigated in many studies, it is still a challenging problem for wind farms in complex terrain. Designing wind farms in complex terrain is becoming more and more important, especially for countries like Finland, where a large portion of the territory is featured as complex terrain. Although potential richer wind resources could be expected at complex terrain sites, they also expose many challenges for wind farm designers/developers. The present work is aimed at development of a new tool to assess and optimize the efficiency of wind farms. The novel idea of the proposed method is to resolve a simpler set of flow motion equations where the flow variables are averaged in the vertical direction (depth-averaged, DA), reducing drastically the computational cost. This implies that only the bulk velocity is accessible from the simplified DA simulation. Wind turbines are introduced as body forces or pressure drops while terrain enters directly in the equations by means of source terms. Therefore, the obtained set of equations is suitable for farms over both simple and moderately-complex terrain like hills, for instance. The 2D CFD simulations with depth-averaged equations together with the genetic algorithms are applied to solve the layout optimization problem of a wind farm on a Gaussian shape hill. The layout of the wind farm with a certain number of wind turbines is optimized in order to maximize the total power output.
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References6
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