Preprints
https://doi.org/10.5194/wes-2026-5
https://doi.org/10.5194/wes-2026-5
20 Feb 2026
 | 20 Feb 2026
Status: this preprint is currently under review for the journal WES.

Virtual sensing for strain estimation in wind turbine support structures based on a single accelerometer

Jonathan Thurn, Clemens Jonscher, Benedikt Hofmeister, Gianluca Zorzi, and Raimund Rolfes

Abstract. This paper introduces a novel model-based approach for virtual sensing of wind turbine support structures for full-field strain estimation using a single DC-capable accelerometer. It enables displacement and strain estimation in the quasi-static frequency band, which accounts for a large proportion of accumulated fatigue damage in offshore wind turbine support structures, while saving costs by relying solely on accelerations from a single accelerometer as input. The introduced method extends the modal decomposition and expansion by using displacement estimations based on tilt-error compensated acceleration time series, utilising the tower's static bending line. It is applied here in two validation case studies: a small-scale laboratory experiment and a full-scale offshore wind turbine. In both cases, the estimated strain is validated against strain measurements conducted at various locations along the structure. The results show excellent agreement between the estimated and measured strains for both case studies. In the laboratory experiment, both displacements and strains are estimated accurately with errors below 2.2 % and 1.2 %, respectively. For the offshore wind turbine, the damage equivalent loads at the tower can be estimated with a maximum error of 21 % in the worst case and 6 % in the best case. The presented approach offers an improvement over established methods for strain estimation, achieving similar accuracy with fewer sensors, resulting in a low-maintenance load monitoring.

Competing interests: At least one of the (co-)authors is a member of the editorial board of Wind Energy Science.

Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.
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Jonathan Thurn, Clemens Jonscher, Benedikt Hofmeister, Gianluca Zorzi, and Raimund Rolfes

Status: open (until 20 Mar 2026)

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Jonathan Thurn, Clemens Jonscher, Benedikt Hofmeister, Gianluca Zorzi, and Raimund Rolfes

Data sets

A benchmark structure for virtual sensing on tower structures Jonathan Thurn, Clemens Jonscher, Raimund Rolfes https://doi.org/10.25835/lyav246d

Model code and software

VirtualSensingTowerStructures Jonathan Thurn, Clemens Jonscher, Benedikt Hofmeister https://github.com/isd-luh/VirtualSensingTowerStructures

Jonathan Thurn, Clemens Jonscher, Benedikt Hofmeister, Gianluca Zorzi, and Raimund Rolfes
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Latest update: 20 Feb 2026
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Short summary
Load monitoring for wind turbine support structures is essential as turbines approach the end of their design life. Typically, load monitoring involves estimating strain from vibrational measurements. This paper introduces an approach that uses a single acceleration sensor to estimate strains across all fatigue-relevant excitation frequencies on the entire support structure, enabled by compensating for gravity-induced biases in acceleration measurements.
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