This paper presents a novel mixed integer linear programing (MILP) formulation for finding the optimal layout of a fixed number of identical turbines that maximizes wind farm power generation. Previous MILP formulations with power maximizing objectives discretize the feasible space by using a grid of possible turbine locations. The proposed MILP formulation takes a different approach by allowing unrestricted placement of turbines, but treats wake cone overlap as a binary outcome. The rationale behind the proposed formulation is that the expansion of the feasible space for turbine placement in the proposed formulation would offset the disadvantage of using a lower fidelity binary wake cone overlap model. For small wind farms, the proposed formulation was able to produce superior layouts compared to a grid-based MILP formulation.
A Mixed Integer Linear Programing Formulation for Unrestricted Wind Farm Layout Optimization
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received October 6, 2015; final manuscript received March 22, 2016; published online April 20, 2016. Assoc. Editor: Carolyn Seepersad.
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Quan, N., and Kim, H. M. (April 20, 2016). "A Mixed Integer Linear Programing Formulation for Unrestricted Wind Farm Layout Optimization." ASME. J. Mech. Des. June 2016; 138(6): 061404. https://doi.org/10.1115/1.4033239
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