Electrical layout design is, for offshore wind farms (OWF), a complex problem that has a far-reaching impact on both plant cost and reliability. A full optimization of the layout, as opposed to just selecting the most favorable pre-established configuration, is required in order to capture all the potential efficiencies. However, classical optimization methods such as mixed-integer programming (MIP) might not be applicable to large OWFs. This paper describes a novel combination of ordinal optimization (OO) and MIP that is able to deal with large problems in reduced computation times with a statistical optimality guarantee. The algorithm is applied to a real case study taken from Barrow Offshore Wind Offshore wind farm (OWF) design is an increasingly relevant problem given the key role that offshore wind must take in the European generation mix in order to increase renewable generation share and reduce emissions.1 Large arrays of wind farms are expected to be installed in the Baltic, North and Irish Seas, including projects of impressive magnitude such as the London Array (1 GW) 2 and Dogger Bank (9 GW). 3 Electrical layout optimization (the optimal design of the connections among turbines and to shore) is one of the main elements of OWF design, together with macrositing (the definition of the area where the plant will be installed) 4-6 and micrositing (specific placement of the turbines). 7,8 The need to design increasingly large OWFs creates a need for efficient methods to undertake the optimization. This paper describes a novel application to solve this problem based on an original combination of ordinal optimization (OO) and mixed-integer programming (MIP). The main contributions of the paper are the following:-The proposed hybrid unites OO and MIP to combine their best features. OO is used to extract information regarding the behavior of the system with respect to the main decisions, and MIP is then applied to further refine all the values of the remaining decision variables. The result is an algorithm that is able to deal with large problem sizes and provide a local optimum solution with a statistical optimality guarantee. -In addition to solving large problems, the algorithm can extract problem structure, that is, valuable information about the features of the problem solution. -This is the first application of OO to the OWF layout problem.-A real case study based on the Barrow Offshore Wind Farm demonstrates the applicability of the algorithm.The following sections present the problem and the proposed hybrid algorithm in a higher detail. First, Section 1 describes the OWF layout problem together with the state the art of the solution techniques available for its resolution. Then, the developed algorithm is presented in Section 2. The details of the mathematical model and the case study are then described in Section 3. Finally, results are shown and conclusions extracted in Sections 4 and 5, respectively.
WIND ENERGY