Wind farm layout design optimization through multi-scenario decomposition with complementarity constraints

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Abstract

This article presents a multi-scenario decomposition with complementarity constraints approach to wind farm layout design to maximize wind energy 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 multi-scenario approach with a bi-objective genetic algorithm that maximizes energy production and minimizes constraint violations simultaneously. A numerical case study demonstrates the effectiveness of the proposed approach.

Original languageEnglish (US)
Pages (from-to)1669-1693
Number of pages25
JournalEngineering Optimization
Volume46
Issue number12
DOIs
StatePublished - Dec 26 2014

Keywords

  • complementarity constraints
  • layout optimization
  • multi-scenario decomposition
  • wind farm

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Optimization
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

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