Macromodel of Spatial Smoothing in Wind Farms
Pei Li
Hadi Banakar
Ping-Kwan Keung
Hamed Golestani Far
Boon-Teck Ooi
Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, Que.;
This paper appears in: Energy Conversion, IEEE Transactions on
Publication Date: March 2007
Volume: 22,
Issue: 1
On page(s): 119-128
ISSN: 0885-8969
INSPEC Accession Number: 9327610
Digital Object Identifier: 10.1109/TEC.2006.889605
Current Version Published: 2007-02-20
Abstract
Departing from aerodynamics (micromodel), the macromodel begins with the power output of a single wind turbine generator (WTG). The N units of WTGs in a wind farm are characterized by the time delays it takes wind, at average velocity, to traverse the distances separating them. Predictions from simulations are in agreement with recorded wind farm data. Smoothing of high-frequency power components is by a factor close to N-1/2. Smoothing of low-frequency harmonic power components is small because the wind farm is limited in size. A theory, based on Fourier analysis, is presented to explain how the macromodel simultaneously copes with: 1) the high-frequency components of wind velocity (which have poor correlation) even for short distances and 2) the low-frequency components (which have some correlation)
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