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An analytical approach to windfarm spacing
Abstract
An analytic approach for the spacing of machines in a windfarm, which can be categorized as either a unidirectional wind or an omnidirectional wind site, was developed. Nonlinear programming problems were formulated to find the spacing for one-line arrays at a given site, in which uncertain turbulence was avoided and the energy generated from the arrays was maximized. The resulting one-line array can then be used as a pattern to apply to the large fixed land windfarm. For unidirectional wind sites, the one-line array was placed parallel to the wind direction. For omnidirectional wind sites, the placement of the array was also discussed. In this study, examples are used to demonstrate the procedure of the mathematical approach. These examples are discussed based on the Lissaman wake model. When compared with equidistant spacing, based on the Lissaman model, some of the resulting spacings by this approach show significant improvement in energy generation. A spacing for a parallel array in an omnidirectional wind site is also discussed. A nonlinear programming problem is formulated to determine the parameters for the optimal array.
Subject Area
Operations research|Mechanical engineering|Energy
Recommended Citation
Sheu, Lei-Jyuan Kang, "An analytical approach to windfarm spacing" (1990). Doctoral Dissertations Available from Proquest. AAI9110214.
https://scholarworks.umass.edu/dissertations/AAI9110214