Multi-Scale Optimization of the Design of Offshore Wind Farms

31 Pages Posted: 2 Nov 2021 Last revised: 31 Jan 2022

See all articles by Davide Cazzaro

Davide Cazzaro

Technical University of Denmark, DTU Management; Vattenfall BA Wind

Alessio Trivella

University of Twente; ETH Zurich

Francesco Corman

ETH Zurich

David Pisinger

Technical University of Denmark - Management Engineering

Date Written: October 29, 2021

Abstract

The traditional optimization of the layout of a wind farm consisted in arranging the wind turbines inside a designated area. In contrast, the 2021 tender from the UK government, Offshore Wind Leasing Round 4 ("UK Round-4") and upcoming bids only specify large regions where the wind farm can be built. This leads to the new challenge to select the shape and area of the wind farm, out of a larger region, to maximize its profitability. We introduce this problem as the "wind farm area selection problem" and present a novel optimization framework to efficiently solve it. Specifically, our framework combines three scales of design: (i) on a macro-scale, choosing the approximate location of the wind farm out of larger regions, (ii) on a meso-scale, generating the optimal shape of the wind farm, and (iii) on a micro-scale, choosing the exact position of the turbines within the shape. In particular, we propose a new constructive heuristic to choose the best shape of a wind farm at the meso-scale, which is scarcely studied in literature. Moreover, while macro and micro-scales have already been investigated, our framework is the first to integrate them. We perform a detailed computational analysis using real-life data and constraints from the recent UK Round-4 tender. Compared to the best rectangular-shaped wind farm at the same location, our results show that optimizing the shape increases profitability by 1.1% on average and up to 2.8%, corresponding to 46 and 109 million Euro respectively.

Keywords: Offshore wind farms, wind energy, integrated design, area selection, shape optimization

JEL Classification: C02, C60, C61

Suggested Citation

Cazzaro, Davide and Trivella, Alessio and Corman, Francesco and Pisinger, David, Multi-Scale Optimization of the Design of Offshore Wind Farms (October 29, 2021). Available at SSRN: https://ssrn.com/abstract=3952581 or http://dx.doi.org/10.2139/ssrn.3952581

Davide Cazzaro (Contact Author)

Technical University of Denmark, DTU Management ( email )

Anker Engelunds Vej 1
Building 101A
Lyngby, 2800
Denmark

Vattenfall BA Wind ( email )

Jupitervej 6
Kolding, 6000
Denmark

Alessio Trivella

University of Twente ( email )

Postbus 217
Twente
Netherlands

ETH Zurich ( email )

Stefano-Franscini-Platz 5
Postfach 193
Zürich, 8093
Switzerland

Francesco Corman

ETH Zurich ( email )

Stefano-Franscini-Platz 5
Postfach 193
Zürich, 8093
Switzerland

David Pisinger

Technical University of Denmark - Management Engineering ( email )

Produktionstorvet 424
room 043
Kgs. Lyngby, 2800
Denmark

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