The spectral characteristics of wind power output in a region with complex topography is analysed. Data from six spatially distributed sites are used, having inter-site distances reaching up to almost 100 km. Auto-spectra and coherence functions are calculated and compared to findings in the literature. The study proposes an analytical coherence model, dependent on inter-distances for the complex region. The base of the model is adapted from the literature, where coefficients are modified to fit the data of the considered region. This coherence model together with the auto-spectra is furthermore used to estimate the spectra from lumped power output for the spatially distributed sites, and fit very well to the average spectra for lumped power output using empirical data, indicating that this model scheme is as well applicable for data from regions with complex topography.

中文翻译：

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风能的频谱特性和空间平滑性-以法罗群岛为例

分析了地形复杂区域的风能输出频谱特征。使用了六个空间分布的站点的数据，站点间的距离可达近100 km。计算自动光谱和相干函数，并将其与文献中的发现进行比较。该研究提出了一个分析相干模型，该模型取决于复杂区域之间的距离。该模型的基础是从文献中改编而成的，其中修改了系数以适合所考虑区域的数据。该相干模型与自动光谱一起还用于根据空间分布站点的集总功率输出估算光谱，并使用经验数据很好地拟合集总功率输出的平均光谱，