@MASTERSTHESIS\{IMM2015-06878,
    author       = "S. K. Wessel",
    title        = "Power optimization of wind farms by curtailment of upwind turbines",
    year         = "2015",
    school       = "Technical University of Denmark, Department of Applied Mathematics and Computer Science",
    address      = "Richard Petersens Plads, Building 324, {DK-}2800 Kgs. Lyngby, Denmark, compute@compute.dtu.dk",
    type         = "",
    note         = "Supervisors: Lasse Engbo Christiansen, laec@dtu.dk, Associate professor, Niels Kj{\o}lstad Poulsen, nkpo@dtu.dk, Associate professor from Department of Applied Mathematics and Computer Science, and Mahmood Mirzaei Postdoc from Department of Wind Energy. Two external supervisors, Klaus Baggesen Hilger and Lars Henrik Hansen from {DONG} Energy Wind Power, department of Business Modelling, have also been associated with the formation of this thesis",
    url          = "http://www.compute.dtu.dk/English.aspx",
    abstract     = "Renewable energy is getting more popular and accounts for an increasing part of the annual energy production in Denmark. Wind energy is one the more prominent ways of producing renewable energy. Wind turbines are often placed together in wind farms, which often are placed off-shore. Collecting turbines in wind farms has the drawback of causing wake effects, which significantly decrease the efficiency of wind farm.
This report presents a method to limit the wake effects of wind farms by optmising the set point distribution given to all the wind turbines in a wind farm. Curtailing upwind turbines is shown to increase the total power production of wind farms of different size and shape. Several methods to optimise the set point distributions are presented to give robust solutions, as the optimised objective function contains local optimisers.
It is calculated how much the power production can be increased by curtailing upwind turbines. It is shown that the annual power production for a square wind farm consisting of 25 turbines can be increased 1.77\% when curtailing upwind turbines compared to more naive strategies. This number is shown to be dependent on the shape of the wind farm as the increase for a fan-shaped wind farm is only 1.05\%."
}