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Multi-objective optimization of wind farm layouts: Complexity, constraint handling and scalability

机译:风电场布局的多目标优化:复杂性,约束处理和可伸缩性

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摘要

Currently, Offshore Wind Farms (OWFs) are designed to achieve high turbine density so as to reduce costs. However, due to wake interferences, densely packing turbines reduces energy production. Having insight into optimized trade-offs between energy production, capital investment and operational costs would be valuable to OWFs designers. To obtain this insight, the design of OWFs should be formulated as a multi-objective optimization problem. How to best solve a Multi-Objective Wind Farm Layout Optimization Problem (MOWFLOP) is however still largely an open question. It is however known that evolutionary algorithms (EAs) are among the state-of-the-art for solving multi-objective optimization problems. This work studies the different features that an MO Evolutionary Algorithm (MOEA) should have and which Constraint-Handling Techniques (CHTs) are suitable for solving MOWFLOP. We also investigate the relation between problem dimensionality/complexity and the degrees of freedom offered by different turbine-placement grid resolutions. Finally, the influence of problem size on algorithm performance is studied. The performance of two variants of the recently introduced Multi-Objective Gene-pool Optimal Mixing Evolutionary Algorithm (MOGOMEA) is compared with a traditional and a novel version of the Nondominated Sorting Genetic Algorithm II (NSGA-II). Five CHTs were used to assess which technique provides the best results. Results on a case study with different OWF areas demonstrate that one variant of MOGOMEA outperforms the NSGA-II for all tested problem sizes and CHTs.
机译:目前,海上风电场(OWF)旨在实现较高的风机密度,从而降低成本。然而,由于尾流干扰,密集堆积的涡轮机降低了能量产生。深入了解能源生产,资本投资和运营成本之间的最佳折衷对于OWF的设计者而言非常有价值。为了获得这种见识,应将OWF的设计表述为多目标优化问题。然而,如何最好地解决多目标风电场布局优化问题(MOWFLOP)仍然是一个悬而未决的问题。但是,众所周知,进化算法(EA)是解决多目标优化问题的最新技术。这项工作研究了MO进化算法(MOEA)应该具有的不同功能,以及哪些约束处理技术(CHT)适合解决MOWFLOP。我们还研究了问题维数/复杂度与不同涡轮机放置网格分辨率所提供的自由度之间的关系。最后,研究了问题大小对算法性能的影响。将最近引入的多目标基因池最优混合进化算法(MOGOMEA)的两个变体的性能与传统和新颖版本的非支配排序遗传算法II(NSGA-II)进行比较。使用五个CHT来评估哪种技术可提供最佳结果。在不同的OWF区域进行的案例研究结果表明,对于所有测试的问题大小和CHT,MOGOMEA的一种变体均优于NSGA-II。

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