Wind deficit model in a wind farm using finite volume method

A wind deficit model for wind farms is developed in this work using finite volume method. The main question addressed here is to calculate approximately the wind speed in the vicinity of each wind turbine of a farm. The procedure followed is to solve the governing equations of flow for the whole wind farm. Spatial discretization is performed on a computational domain, using finite volume techniques. In ideal circumstances, wind speed will calculate on a fine mesh for the whole wind farm, where the effect of wind turbines is observed by means of their thrust coefficient. The end goal of this method is to assist the development of an analytical expression of an offshore wind farm wake. We focus in this work on wind deficit that can be used for better wind farm control strategies and load optimization.

[1]  Luis M. Fernández,et al.  Equivalent models of wind farms by using aggregated wind turbines and equivalent winds , 2009 .

[2]  Weeratunge Malalasekera,et al.  An introduction to computational fluid dynamics - the finite volume method , 2007 .

[3]  P.E. Mercado,et al.  Wind farm: Dynamic model and impact on a weak power system , 2008, 2008 IEEE/PES Transmission and Distribution Conference and Exposition: Latin America.

[4]  Fernando D. Bianchi,et al.  Wind Turbine Control Systems: Principles, Modelling and Gain Scheduling Design , 2006 .

[5]  C. Masson,et al.  An extended k–ε model for turbulent flow through horizontal-axis wind turbines , 2008 .

[6]  Krishnamurthy Muralidhar,et al.  Computational Fluid Flow and Heat Transfer , 2003 .

[7]  Torben J. Larsen,et al.  Wake modeling and simulation , 2008 .

[8]  William L. Oberkampf,et al.  Guide for the verification and validation of computational fluid dynamics simulations , 1998 .

[9]  E. S. Politis,et al.  Modelling and measurements of wakes in large wind farms , 2007 .

[11]  Rebecca J. Barthelmie,et al.  Analytical modelling of wind speed deficit in large offshore wind farms , 2006 .

[12]  Julio Hernández,et al.  Survey of modelling methods for wind turbine wakes and wind farms , 1999 .

[13]  Andreas Bechmann,et al.  A CFD model of the wake of an offshore wind farm: Using a prescribed wake inflow , 2007 .

[14]  L. J. Vermeera,et al.  Wind turbine wake aerodynamics , 2003 .

[15]  J. F. Ainslie,et al.  CALCULATING THE FLOWFIELD IN THE WAKE OF WIND TURBINES , 1988 .