A Mixed Integer Linear Programing Formulation for Unrestricted Wind Farm Layout Optimization

Ning Quan, Harrison M. Kim

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Article number061404
JournalJournal of Mechanical Design, Transactions of the ASME
Volume138
Issue number6
DOIs
StatePublished - Jun 1 2016

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

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