gradient-based optimization, analytic gradients, structural constraints, different hub heights, FLORIS wake model, tower sizing, wind farm, varied tower heights
Wind farms are generally designed with turbines of all the same hub height. If wind farms were designed with turbines of different hub heights, wake interference between turbines could be reduced, lowering the cost of energy (COE). This paper demonstrates a method to optimize onshore wind farms with two different hub heights using exact, analytic gradients. Gradient-based optimization with exact gradients scales well with large problems and is preferable in this application over gradient-free methods. Our model consisted of the following: a version of the FLOw Redirection and Induction in Steady-State wake model that accommodated three- dimensional wakes and calculated annual energy production, a wind farm cost model, and a tower structural model, which provided constraints during optimization. Structural constraints were important to keep tower heights realistic, and account for additional mass required from taller towers and higher wind speeds. We optimized several wind farms with tower height, diameter, and shell thickness as coupled design variables. Our results indicate that wind farms with small rotors, low wind shear, and closely spaced turbines can benefit from having two different hub heights. A 9 by 9 grid wind farm with 70-meter rotor diameters and a wind shear exponent of 0.08 realized a 4.9% reduction in COE by using two different tower sizes. If the turbine spacing was reduced to 3 diameters, the reduction in COE decreased further to 11.2%. Allowing for more than two different turbine heights is only slightly more beneficial than two heights and is likely not worth the added complexity.
Original Publication Citation
Stanley, A. P. J., Ning, A., and Dykes, K., “Optimization of Turbine Design in Wind Farms with Multiple Hub Heights, Using Exact Analytic Gradients and Structural Constraints,” Wind Energy, Jan. 2019. doi:10.1002/we.2310
BYU ScholarsArchive Citation
Stanley, Andrew P.J.; Ning, Andrew; and Dykes, Katherine, "Optimization of Turbine Design in Wind Farms with Multiple Hub Heights, Using Exact Analytic Gradients and Structural Constraints" (2019). Faculty Publications. 2986.
Ira A. Fulton College of Engineering and Technology
Copyright © 2019 John Wiley & Sons, Ltd. This is the peer reviewed version of the article cited above, which has been published in final form at http://dx.doi.org/10.1002/we.2310. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
Copyright Use Information