This paper presents a multidisciplinary design optimization with complementarity constraints (MDO-CC) approach to wind farm layout design to maximize the wind power production under region boundary and inter-turbine distance constraints. A complementarity formulation technique is introduced such that the wind farm layout design can be described with a continuously differentiable optimization model; and a multi-scenario decomposition approach is proposed to ensure efficient solution with local optimality. To combine global exploration and local optimization, a hybrid solution algorithm is presented, which combines the MDO-CC approach with a bi-objective genetic algorithm that maximizes power production and minimizes constraint violations simultaneously. A numerical case study demonstrates the effectiveness of the proposed approach.
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