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Multiscaling and joint multiscaling description of the atmospheric wind speed and the aggregate power output from a wind farm

机译:大气风速和风电场总输出功率的多尺度和联合多尺度描述

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We consider here wind speed time series and the aggregate output wind power from a wind farm. We study their scaling statistics in the framework of fully developed turbulence and Kolmogorov's theory. We estimate their Fourier power spectra and consider their scaling properties in the physical space. We show that the atmospheric wind speed and the aggregate power output from a wind farm are intermittent and multifractal over a wide range of scales. The coupling between simultaneous data of the wind speed and aggregate power output is investigated through a joint multifractal description using the generalized correlation functions (GCFs). This multiscaling test is compatible with a linear relation between the wind speed and the aggregate power output fluctuations for timescales T ? 103 s ? 15 min.
机译:我们在这里考虑风速时间序列和风电场的总输出风能。我们在充分发展的湍流和Kolmogorov理论的框架下研究它们的比例统计。我们估计它们的傅立叶功率谱,并考虑它们在物理空间中的缩放特性。我们表明,风电场的大气风速和总功率输出是间歇性的,并且在很大范围内都是多重分形的。使用广义相关函数(GCF),通过联合多重分形描述来研究风速的同时数据与总功率输出之间的耦合。这种多尺度测试与风速和时间尺度T? 103秒15分钟

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