Polynomial chaos for the computation of annual energy production in wind farm layout optimization

The Science of Making Torque from Wind

Padrón, A.S.^1 ; Stanley, A.P.J.^2 ; Thomas, J.J.^2 ; Alonso, J.J.^1 ; Ning, A.^2

Department of Aeronautics and Astronautics, Stanford University, Stanford

CA

94305, United States^1

Department of Mechanical Engineering, Brigham Young University, Provo

UT

84602, United States^2

关键词: Annual energy productions;    Careful management;    Energy productions;    Integration techniques;    Stochastic variable;    Uncertainty quantifications;    Wake interferences;    Wind farm layout optimizations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/753/3/032021/pdf
DOI  :  10.1088/1742-6596/753/3/032021

来源: IOP

【 摘 要 】

Careful management of wake interference is essential to further improve Annual Energy Production (AEP) of wind farms. Wake effects can be minimized through optimization of turbine layout, wind farm control, and turbine design. Realistic wind farm optimization is challenging because it has numerous design degrees of freedom and must account for the stochastic nature of wind. In this paper we provide a framework for calculating AEP for any relevant uncertain (stochastic) variable of interest. We use Polynomial Chaos (PC) to efficiently quantify the effect of the stochastic variables - wind direction and wind speed - on the statistical outputs of interest (AEP) for wind farm layout optimization. When the stochastic variable includes the wind direction, polynomial chaos is one order of magnitude more accurate in computing the AEP when compared to commonly used simplistic integration techniques (rectangle rule), especially for non grid-like wind farm layouts. Furthermore, PC requires less simulations for the same accuracy. This allows for more efficient optimization and uncertainty quantification of wind farm energy production.