Articles | Volume 9, issue 8
https://doi.org/10.5194/wes-9-1747-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/wes-9-1747-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Uncertainty quantification of structural blade parameters for the aeroelastic damping of wind turbines: a code-to-code comparison
German Aerospace Center (DLR), Institute of Aeroelasticity, Göttingen, Germany
Oliver Hach
German Aerospace Center (DLR), Institute of Aeroelasticity, Göttingen, Germany
Jelmer D. Polman
Leibniz University Hannover, Institute for Wind Energy Systems, Hanover, Germany
Otto Schramm
Leibniz University Hannover, Institute for Wind Energy Systems, Hanover, Germany
Claudio Balzani
Leibniz University Hannover, Institute for Wind Energy Systems, Hanover, Germany
Sarah Müller
Nordex Energy SE & Co. KG, Hamburg, Germany
Johannes Rieke
Nordex Energy SE & Co. KG, Hamburg, Germany
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The ongoing upscaling of wind turbines increases blade flexibility and the risk of aeroelastic instabilities, in which oscillations grow instead of being damped, potentially reducing lifetime or causing catastrophic failure. To mitigate this risk, engineers rely on simulation models and physical insight to assess design stability. This research evaluates the accuracy of such models and clarifies the underlying mechanisms, contributing to safe and more efficient future wind turbine designs.
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The ongoing upscaling of wind turbines increases blade flexibility and the risk of aeroelastic instabilities, in which oscillations grow instead of being damped, potentially reducing lifetime or causing catastrophic failure. To mitigate this risk, engineers rely on simulation models and physical insight to assess design stability. This research evaluates the accuracy of such models and clarifies the underlying mechanisms, contributing to safe and more efficient future wind turbine designs.
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Wind turbine rotor blades consist of subcomponents that are glued together. Such connections are subject to fatigue loads. This paper analyzes the fatigue load characteristics of three different wind turbine rotor blades in trailing edge adhesive joints. It is shown that the fatigue loads have measurable degrees of non-proportionality and that the choice of the procedure to calculate the fatigue damage is crucial for designing reliable blades.
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The amount of energy that can be extracted from wind depends primarily on the blade geometry, which can be affected by elastic deformations. This paper presents a first study analysing the influence of cross-sectional deformations of a 15 MW wind turbine blade on aero-elastic simulations. The results show that cross-sectional deformations have a minor influence on the internal loads of rotor blades in normal operation.
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We provide a comprehensive overview showing available cross-sectional approaches and their properties in relation to derived requirements for the design of composite rotor blades. The Jung analytical approach shows the best results for accuracy of stiffness terms (coupling and transverse shear) and stress distributions. Improved performance compared to 2D finite element codes could be achieved, making the approach applicable for optimization problems with a high number of design variables.
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In the wind energy industry, a digital twin is fast becoming a key instrument for the monitoring of a wind turbine blade's life cycle. Here, our introduced model updating with invertible neural networks provides an efficient and powerful technique to represent the real blade as built. This method is applied to a full finite element Timoshenko beam model of a blade to successfully update material and layup parameters. The advantage over state-of-the-art methods is the established inverse model.
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Modern rotor blade designs depend on detailed numerical models and simulations. Thus, a validated modeling methodology is fundamental for reliable designs. This paper briefly presents a modeling algorithm for rotor blades, its validation against real-life full-scale blade tests, and the respective test data. The hybrid 3D shell/solid finite-element model is successfully validated against the conducted classical bending tests in flapwise and lead–lag direction as well as novel torsion tests.
Cited articles
Abbiati, G., Marelli, S., Tsokanas, N., Sudret, B., and Stojadinović, B.: A global sensitivity analysis framework for hybrid simulation, Mech. Syst. Signal Pr., 146, 964–979, https://doi.org/10.1016/j.ymssp.2020.106997, 2021. a
Bir, G.: Multi-Blade Coordinate Transformation and its Application to Wind Turbine Analysis, in: 46th AIAA Aerospace Sciences Meeting and Exhibit, AIAA, Reno, Nevada, 7–10 January 2008, https://doi.org/10.2514/6.2008-1300, 2008. a
Blasques, J. P., Bitsche, R. D., Fedorov, V., and Lazarov, B. S.: Accuracy of an efficient framework for structural analysis of wind turbine blades, Wind Energy, 19, 1603–1621, https://doi.org/10.1002/we.1939, 2016. a
Bortolotti, P., Canet, H., Bottasso, C. L., and Loganathan, J.: Performance of non-intrusive uncertainty quantification in the aeroservoelastic simulation of wind turbines, Wind Energ. Sci., 4, 397–406, https://doi.org/10.5194/wes-4-397-2019, 2019. a
Caboni, M., Carrion, M., Rodriguez, C., Schepers, G., Boorsma, K., and Sanderse, B.: Assessment of sensitivity and accuracy of BEM-based aeroelastic models on wind turbine load predictions, J. Phys. Conf. Ser., 1618, 042015, https://doi.org/10.1088/1742-6596/1618/4/042015, 2020. a
Dassault Systemes: SIMULIA User Assistance 2021, Tech. rep., 2021. a
Eldred, M. and Burkardt, J.: Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification, in: 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition, Sandia National Laboratories, https://doi.org/10.2514/6.2009-976, 5–8 January 2009, Orlando, Florida, 2009. a
Gonzaga, P., Toft, H., Worden, K., Dervilis, N., Bernhammer, L., Stevanovic, N., and Gonzales, A.: Impact of blade structural and aerodynamic uncertainties on wind turbine loads, Wind Energy, 25, 1060–1076, https://doi.org/10.1002/we.2715, 2022. a
Gözcü, O. and Verelst, D. R.: The effects of blade structural model fidelity on wind turbine load analysis and computation time, Wind Energ. Sci., 5, 503–517, https://doi.org/10.5194/wes-5-503-2020, 2020. a, b
Hach, O., Verdonck, H., Polman, J. D., Balzani, C., Müller, S., Rieke, J., and Hennings, H.: Wind turbine stability: Comparison of state-of-the-art aeroelastic simulation tools, J. Phys. Conf. Ser, 1618, 052048, https://doi.org/10.1088/1742-6596/1618/5/052048, 2020. a, b, c, d
Hansen, M.: Aeroelastic Properties of Backward Swept Blades, in: 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, Aerospace Sciences Meetings, American Institute of Aeronautics and Astronautics, https://doi.org/10.2514/6.2011-260, 4–7 January 2011, Orlando, Florida, 2011. a, b
Hansen, M. H.: Aeroelastic stability analysis of wind turbines using an eigenvalue approach, Wind Energy, 7, 133–143, https://doi.org/10.1002/we.116, 2004. a
Hansen, M. H., Henriksen, L. C., Tibaldi, C., Bergami, L., Verelst, D., Pirrung, G., and Riva, R.: HAWCStab2 User Manual, version 2.15, Tech. rep., DTU Wind Energy, Department of Wind Energy, https://www.hawcstab2.vindenergi.dtu.dk/-/media/subsites/hawcstab2/download/manual/manual_hawcstab2_v2-15.pdf (last access: 26 July 2024), 2018. a
Hodges, D. H.: Nonlinear Composite Beam Theory, AIAA, https://doi.org/10.2514/4.866821, 2006. a
Hosder, S., Walters, R., and Balch, M.: Efficient Uncertainty Quantification Applied to the Aeroelastic Analysis of a Transonic Wing, in: 46th AIAA Aerospace Sciences Meeting and Exhibit, https://doi.org/10.2514/6.2008-729, 7–10 January 2008, Reno, Nevada, 2012. a
Hosder, S., Walters, R., and Balch, M.: Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables, in: 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA, Honolulu, Hawaii, https://doi.org/10.2514/6.2007-1939, 23–26 April 2007. a
Hübler, C., Gebhardt, C. G., and Rolfes, R.: Hierarchical four-step global sensitivity analysis of offshore wind turbines based on aeroelastic time domain simulations, Renew. Energ., 111, 878–891, https://doi.org/10.1016/j.renene.2017.05.013, 2017. a
Hübler, C., Gebhardt, C. G., and Rolfes, R.: Assessment of Sensitivity Analysis Methods of Different Complexity for Offshore Wind Turbines, in: 29th European Safety and Reliability Conference, ESREL, 22–26 September 2019, Hannover, Germany, https://doi.org/10.3850/978-981-11-2724-3_0140-cd, 2019. a
IEC: IEC 61400-1 Edition 4 – Wind Turbines – Part 1: Design requirements, Tech. rep., International Electrotechnical Commission, Geneva, ISBN 9782832279724, 2005. a
IfM: alaska/Wind User Manual, Institut für Mechatronik e.V., release 9.6 edn., 2018. a
Iooss, B. and Lemaître, P.: A Review on Global Sensitivity Analysis Methods, pp. 101–122, Springer US, Boston, MA, ISBN 978-1-4899-7546-1 978-1-4899-7547-8, 2015. a
Kallesøe, B. S. and Kragh, K. A.: Field Validation of the Stability Limit of a Multi MW Turbine, J. Phys. Conf. Ser, 753, 042005, https://doi.org/10.1088/1742-6596/753/4/042005, 2016. a
Kim, T., Hansen, A. M., and Branner, K.: Development of an anisotropic beam finite element for composite wind turbine blades in multibody system, Renew. Energ., 59, 172–183, https://doi.org/10.1016/j.renene.2013.03.033, 2013. a, b
Kumar, P., Sanderse, B., Boorsma, K., and Caboni, M.: Global sensitivity analysis of model uncertainty in aeroelastic wind turbine models, J. Phys. Conf. Ser, 1618, 042034, https://doi.org/10.1088/1742-6596/1618/4/042034, 2020. a, b
Larsen, T. J. and Hansen, A. M.: How 2 HAWC2, the user's manual, Tech. Rep. Risø-R-1597(ver. 12.9)(EN), Risø National Laboratory, Technical University of Denmark, https://tools.windenergy.dtu.dk/HAWC2/manual/How2HAWC2_12_9.pdf (last access: 26 July 2024), 2021. a
Le Clainche, S. and Vega, J.: Higher Order Dynamic Mode Decomposition, SIAM J. Appl. Dyn. Syst., 16, 882–925, https://doi.org/10.1137/15M1054924, 2017. a, b
Le Gratiet, L., Marelli, S., and B, S.: Metamodel-Based Sensitivity Analysis: Polynomial Chaos Expansions and Gaussian Processes, 1289–1325, Springer, https://doi.org/10.1007/978-3-319-12385-1_38, 2017. a, b
Li, S. and Caracoglia, L.: Surrogate Model Monte Carlo simulation for stochastic flutter analysis of wind turbine blades, J. Wind Eng. Ind. Aerod., 188, 43–60, https://doi.org/10.1016/j.jweia.2019.02.004, 2019. a
Lobitz, D. W.: Parameter Sensitivities Affecting the Flutter Speed of a MW-Sized Blade, J. Sol. Energ., 127, 538–543, https://doi.org/10.1115/1.2037091, 2005. a
Nobari, A., Ouyang, H., and Bannister, P.: Uncertainty quantification of squeal instability via surrogate modelling, Mech. Syst. Signal Pr., 60–61, 887–908, https://doi.org/10.1016/j.ymssp.2015.01.022, 2015. a
Noever-Castelos, P., Ardizzone, L., and Balzani, C.: Model updating of wind turbine blade cross sections with invertible neural networks, Wind Energy, 25, 573–599, https://doi.org/10.1002/we.2687, 2021. a
NREL: Reference to known issues in BeamDyn, https://github.com/OpenFAST/openfast/issues/366 (last access: 3 February 2022), 2019. a
NREL: OpenFAST v2.2.0, https://github.com/OpenFAST/openfast (last access: 9 November 2023), 2023. a
Pirrung, G. R., Madsen, H. A., and Kim, T.: The influence of trailed vorticity on flutter speed estimations, J. Phys. Conf. Ser, 524, 012048, https://doi.org/10.1088/1742-6596/524/1/012048, 2014. a
Popko, W., Thomas, P., Sevinc, A., Rosemeier, M., Bätge, M., Braun, R., Meng, F., Horte, D., Balzani, C., Bleich, O., Daniele, E., Stoevesandt, B., Wentingmann, M., Polman, J. D., Leimeister, M., Schümann, B., and Reuter, A.: IWES Wind Turbine IWT-7.5-164, Rev 4, Tech. rep., Fraunhofer IWES, Bremerhaven, Germany, https://gitlab.cc-asp.fraunhofer.de/iwt/iwt-7.5-164, GPL v3 (last access: 26 July 2024), 2018. a, b
Pourazarm, P., Caracoglia, L., Lackner, M., and Modarres-Sadeghi, Y.: Stochastic analysis of flow-induced dynamic instabilities of wind turbine blades, J. Wind Eng. Ind. Aerod., 137, 37–45, https://doi.org/10.1016/j.jweia.2014.11.013, 2015a. a
Pourazarm, P., Modarres-Sadeghi, Y., and Lackner, M.: A parametric study of coupled-mode flutter for MW-size wind turbine blades: Coupled-mode flutter of MW-size wind turbine blades, Wind Energy, 19, 497–514, https://doi.org/10.1002/we.1847, 2015b. a
Resor, B. and Paquette, J.: Uncertainties in Prediction of Wind Turbine Blade Flutter, in: 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, American Institute of Aeronautics and Astronautics, 4–7 April 2011, Denver, Colorado, https://doi.org/10.2514/6.2011-1947, 2011. a
Riziotis, V. and Voutsinas, S.: Advanced aeroelastic modeling of complete wind turbine configurations in view of assessing stability characteristics, in: Proceedings of the EWEC ‘06, EWEA, 27 February–2 March 2006, Athens, https://www.researchgate.net/publication/279531138_Advanced_aeroelastic_modeling_of_complete_wind_turbine_configurations_in_view_of_assessing_stability_characteristics (last access: 26 July 2024), Greece, 2006. a
Robertson, A. N., Shaler, K., Sethuraman, L., and Jonkman, J.: Sensitivity analysis of the effect of wind characteristics and turbine properties on wind turbine loads, Wind Energ. Sci., 4, 479–513, https://doi.org/10.5194/wes-4-479-2019, 2019. a
Sankararaman, S.: Uncertainty quantification and integration in engineering systems, Ph.D. thesis, Vanderbilt University, https://etd.library.vanderbilt.edu/etd-02142012-004439 (last access: 26 July 2024), 2012. a
Scarth, C., Cooper, J. E., Weaver, P. M., and Silva, G. H. C.: Uncertainty quantification of aeroelastic stability of composite plate wings using lamination parameters, Compos. Struct., 116, 84–93, https://doi.org/10.1016/j.compstruct.2014.05.007, 2014. a
Sudret, B.: Global sensitivity analysis using polynomial chaos expansion, Reliab. Eng. Syst. Safe, 93, 964–979, https://doi.org/10.1016/j.ress.2007.04.002, 2008. a, b
Sørensen, N. N. and Aagaard Madsen, H.: Modelling of transient wind turbine loads during pitch motion, in: Proceedings of the EWEC ‘06, EWEA, 27 February–2 March 2006, Athens, Greece, https://orbit.dtu.dk/en/publications/modelling-of-transient-wind-turbine-loads-during-pitch-motion-pap (last access: 26 July 2024), 2006. a, b, c
Tennøe, S., Halnes, G., and Einevoll, G. T.: Uncertainpy: A Python Toolbox for Uncertainty Quantification and Sensitivity Analysis in Computational Neuroscience, Front. Neuroinform, 12, 49, https://doi.org/10.3389/fninf.2018.00049, 2018. a
van den Bos, L. M. M. and Sanderse, B.: Uncertainty quantification for wind energy applications – Literature review, Tech. Rep. SC-1701, Centrum Wiskunde & Informatica, https://ir.cwi.nl/pub/26650/wind_uq_overview_20170822.pdf (last access: 26 July 2024), 2017. a
Veers, P., Dykes, K., Lantz, E., Barth, S., Bottasso, C. L., Carlson, O., Clifton, A., Green, J., Green, P., Holttinen, H., Laird, D., Lehtomäki, V., Lundquist, J. K., Manwell, J., Marquis, M., Meneveau, C., Moriarty, P., Munduate, X., Muskulus, M., Naughton, J., Pao, L., Paquette, J., Peinke, J., Robertson, A., Sanz Rodrigo, J., Sempreviva, A. M., Smith, J. C., Tuohy, A., and Wiser, R.: Grand challenges in the science of wind energy, Science, 366, 6464, https://doi.org/10.1126/science.aau2027, 2019. a
Verdonck, H., Hach, O., Braun, O., Polman, J. D., Balzani, C., Müller, S., and Rieke, J.: Code-to-code comparison of realistic wind turbine instability phenomena, Presentation, https://doi.org/10.5281/zenodo.5874658, Presented at the Wind Energy Science Conference (WESC), Zenodo [code], https://doi.org/10.5281/zenodo.5874658, 2021. a
Verdonck, H., Hach, O., Polman, J. D., Braun, O., Balzani, C., Müller, S., and Rieke, J.: An open-source framework for the uncertainty quantification of aeroelastic wind turbine simulation tools, J. Phys. Conf. Ser, 2265, 042039, https://doi.org/10.1088/1742-6596/2265/4/042039, 2022. a, b
Verdonck, H., Hach, O., Balzani, C., Polman, J. P., Braun, O., Rieke, J., and Müller, S.: QuexUS Data Package, Zenodo [data set], https://doi.org/10.5281/zenodo.8134456, 2023a. a, b
Verdonck, H., Hach, O., Balzani, C., Polman, J. P., Braun, O., Rieke, J., and Müller, S.: wtuq v1.1, Wind Turbine Uncertainty Quantification, Zenodo [software], https://doi.org/10.5281/zenodo.8133824, 2023b. a, b, c
Volk, D., Kallesøe, B., Johnson, S., Pirrung, G., Riva, R., and Barnaud, F.: Large wind turbine edge instability field validation, J. Phys. Conf. Ser, 1618, 052014, https://doi.org/10.1088/1742-6596/1618/5/052014, 2020. a, b, c
Wang, Q., Sprague, M. A., Jonkman, J., Johnson, N., and Jonkman, B.: BeamDyn: a high-fidelity wind turbine blade solver in the FAST modular framework, Wind Energy, 20, 1439–1462, https://doi.org/10.1002/we.2101, 2017. a, b, c
Wanke, G., Bergami, L., and Verelst, D. R.: Differences in damping of edgewise whirl modes operating an upwind turbine in a downwind configuration, Wind Energ. Sci., 5, 929–944, https://doi.org/10.5194/wes-5-929-2020, 2020. a
Ziegler, L. and Muskulus, M.: Fatigue reassessment for lifetime extension of offshore wind monopile substructures, J. Phys. Conf. Ser., 753, 092010, https://doi.org/10.1088/1742-6596/753/9/092010, 2016. a
Short summary
Aeroelastic stability simulations are needed to guarantee the safety and overall robust design of wind turbines. To increase our confidence in these simulations in the future, the sensitivity of the stability analysis with respect to variability in the structural properties of the wind turbine blades is investigated. Multiple state-of-the-art tools are compared and the study shows that even though the tools predict similar stability behavior, the sensitivity might be significantly different.
Aeroelastic stability simulations are needed to guarantee the safety and overall robust design...
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