Stochastic Wake Modelling Based on POD Analysis
In this work, large eddy simulation data is analysed to investigate a new stochastic modeling approach for the wake of a wind turbine. The data is generated by the large eddy simulation (LES) model PALM combined with an actuator disk with rotation representing the turbine. After applying a proper or...
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| Format: | Article |
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MDPI AG
2018-03-01
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| Series: | Energies |
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| Online Access: | http://www.mdpi.com/1996-1073/11/3/612 |
| _version_ | 1811263735619125248 |
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| author | David Bastine Lukas Vollmer Matthias Wächter Joachim Peinke |
| author_facet | David Bastine Lukas Vollmer Matthias Wächter Joachim Peinke |
| author_sort | David Bastine |
| collection | DOAJ |
| description | In this work, large eddy simulation data is analysed to investigate a new stochastic modeling approach for the wake of a wind turbine. The data is generated by the large eddy simulation (LES) model PALM combined with an actuator disk with rotation representing the turbine. After applying a proper orthogonal decomposition (POD), three different stochastic models for the weighting coefficients of the POD modes are deduced resulting in three different wake models. Their performance is investigated mainly on the basis of aeroelastic simulations of a wind turbine in the wake. Three different load cases and their statistical characteristics are compared for the original LES, truncated PODs and the stochastic wake models including different numbers of POD modes. It is shown that approximately six POD modes are enough to capture the load dynamics on large temporal scales. Modeling the weighting coefficients as independent stochastic processes leads to similar load characteristics as in the case of the truncated POD. To complete this simplified wake description, we show evidence that the small-scale dynamics can be captured by adding to our model a homogeneous turbulent field. In this way, we present a procedure to derive stochastic wake models from costly computational fluid dynamics (CFD) calculations or elaborated experimental investigations. These numerically efficient models provide the added value of possible long-term studies. Depending on the aspects of interest, different minimalized models may be obtained. |
| first_indexed | 2024-04-12T19:50:33Z |
| format | Article |
| id | doaj.art-0807f77d54c445dd9ce1350f9953138b |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-12T19:50:33Z |
| publishDate | 2018-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-0807f77d54c445dd9ce1350f9953138b2022-12-22T03:18:49ZengMDPI AGEnergies1996-10732018-03-0111361210.3390/en11030612en11030612Stochastic Wake Modelling Based on POD AnalysisDavid Bastine0Lukas Vollmer1Matthias Wächter2Joachim Peinke3AG TWiSt, Institute of Physics, ForWind, University of Oldenburg, Küpkersweg 70, 26129 Oldenburg, GermanyAG TWiSt, Institute of Physics, ForWind, University of Oldenburg, Küpkersweg 70, 26129 Oldenburg, GermanyAG TWiSt, Institute of Physics, ForWind, University of Oldenburg, Küpkersweg 70, 26129 Oldenburg, GermanyAG TWiSt, Institute of Physics, ForWind, University of Oldenburg, Küpkersweg 70, 26129 Oldenburg, GermanyIn this work, large eddy simulation data is analysed to investigate a new stochastic modeling approach for the wake of a wind turbine. The data is generated by the large eddy simulation (LES) model PALM combined with an actuator disk with rotation representing the turbine. After applying a proper orthogonal decomposition (POD), three different stochastic models for the weighting coefficients of the POD modes are deduced resulting in three different wake models. Their performance is investigated mainly on the basis of aeroelastic simulations of a wind turbine in the wake. Three different load cases and their statistical characteristics are compared for the original LES, truncated PODs and the stochastic wake models including different numbers of POD modes. It is shown that approximately six POD modes are enough to capture the load dynamics on large temporal scales. Modeling the weighting coefficients as independent stochastic processes leads to similar load characteristics as in the case of the truncated POD. To complete this simplified wake description, we show evidence that the small-scale dynamics can be captured by adding to our model a homogeneous turbulent field. In this way, we present a procedure to derive stochastic wake models from costly computational fluid dynamics (CFD) calculations or elaborated experimental investigations. These numerically efficient models provide the added value of possible long-term studies. Depending on the aspects of interest, different minimalized models may be obtained.http://www.mdpi.com/1996-1073/11/3/612wake modelPODstochastic processcoherent structuresloadswind turbinewind turbine loads |
| spellingShingle | David Bastine Lukas Vollmer Matthias Wächter Joachim Peinke Stochastic Wake Modelling Based on POD Analysis Energies wake model POD stochastic process coherent structures loads wind turbine wind turbine loads |
| title | Stochastic Wake Modelling Based on POD Analysis |
| title_full | Stochastic Wake Modelling Based on POD Analysis |
| title_fullStr | Stochastic Wake Modelling Based on POD Analysis |
| title_full_unstemmed | Stochastic Wake Modelling Based on POD Analysis |
| title_short | Stochastic Wake Modelling Based on POD Analysis |
| title_sort | stochastic wake modelling based on pod analysis |
| topic | wake model POD stochastic process coherent structures loads wind turbine wind turbine loads |
| url | http://www.mdpi.com/1996-1073/11/3/612 |
| work_keys_str_mv | AT davidbastine stochasticwakemodellingbasedonpodanalysis AT lukasvollmer stochasticwakemodellingbasedonpodanalysis AT matthiaswachter stochasticwakemodellingbasedonpodanalysis AT joachimpeinke stochasticwakemodellingbasedonpodanalysis |