Ahead of Print article · Journal article
Global Optimization of Offshore Wind Farm Collection Systems
A mathematical program for global optimization of the cable layout of Offshore Wind Farms (OWFs) is presented. The model consists on a Mixed Integer Linear Program (MILP). Modern branch-and-cut solvers are able to solve large-scale instances, defined by more than hundred Wind Turbines (WTs), and a reasonable number of Offshore Substations (OSSs).
In addition to the MILP model to optimize total cable length or initial investment, a pre-processing strategy is proposed in order to incorporate total electrical power losses into the objective function. High fidelity models are adapted to calculate cables current capacities, spatial currents. The MILP model is embedded in an iterative algorithmic framework, solving a sequence of problems with increasing search space size.
The search space is defined as a set of underlying candidate arcs. The applicability of the method is illustrated through 10 case studies of real-world large-scale wind farms. Results show that: (i) feasible points are obtained in seconds, (ii) points with an imposed maximum tolerance near the global optimum are calculated in a reasonable computational time in the order of hours, and (iii) the proposed method compares favorably against state-of-the-art method available in literature.
| Language: | English |
|---|---|
| Publisher: | IEEE |
| Year: | 2020 |
| Pages: | 2256-2267 |
| ISSN: | 15580679 and 08858950 |
| Types: | Ahead of Print article and Journal article |
| DOI: | 10.1109/tpwrs.2019.2957312 |
| ORCIDs: | Pérez-Rúa, Juan-Andrés , Stolpe, Mathias , Das, Kaushik and Cutululis, Nicolaos Antonio |
Collection system layout design Global optimization Heuristics Medium voltage submarine cables Mixed integer linear programming Offshore wind energy
Computational modeling Linear programming MILP model Mathematical model Measurement Optimization Power cables Wind turbines branch-and-cut solvers cable layout cables current capacities collection system layout design computational time global optimization heuristics high fidelity models initial investment integer programming investment iterative algorithmic framework iterative methods large-scale wind farms mathematical program medium voltage submarine cables mixed integer linear program mixed integer linear programming objective function offshore installations offshore substations offshore wind farm collection systems power cables power generation economics pre-processing strategy search space size solve large-scale instances state-of-the-art method total electrical power losses wind power plants wind turbines
