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Fatigue design load calculations of the offshore NREL 5MW benchmark turbine using quadrature rule techniques
Computational Engineering, Finance, and Science · Submitted 11 Apr 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is demonstrated that the proposed approach yields accurate estimations of the equivalent loads using a significantly reduced number of aeroelastic model evaluations (compared to binning).
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The abstract, sentence by sentence
A novel approach is proposed to reduce, compared to the conventional binning approach, the large number of aeroelastic code evaluations that are necessary to obtain equivalent loads acting on wind turbines. These loads describe the effect of long-term environmental variability on the fatigue loads of a horizontal-axis wind turbine. In particular Design Load Case 1.2, as standardized by IEC, is considered. The approach is based on numerical integration techniques and, more specifically, quadrature rules. The quadrature rule used in this work is a recently proposed "implicit" quadrature rule, which has the main advantage that it can be constructed directly using measurements of the environment. It is demonstrated that the proposed approach yields accurate estimations of the equivalent loads using a significantly reduced number of aeroelastic model evaluations (compared to binning). Moreover the error introduced by the seeds (introduced by averaging over random wind fields and sea states) is incorporated in the quadrature framework, yielding an even further reduction in the number of aeroelastic code evaluations. The reduction in computational time is demonstrated by assessing the fatigue loads on the NREL 5MW reference offshore wind turbine in conjunction with measurement data obtained at the North Sea, both for a simplified and a full load case.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A novel approach is proposed to reduce, compared to the conventional binning approach, the large number of aeroelastic code evaluations that are necessary to obtain equivalent loads acting on wind turbines. | contribution 1.00 | 0.76 | 0.27 | asserted 0.84 |
| s1 | These loads describe the effect of long-term environmental variability on the fatigue loads of a horizontal-axis wind turbine. | background 0.93 | 0.15 | 0.04 | asserted 0.99 |
| s2 | In particular Design Load Case 1.2, as standardized by IEC, is considered. | background 0.68 | 0.29 | 0.02 | asserted 0.97 |
| s3 | The approach is based on numerical integration techniques and, more specifically, quadrature rules. | method 0.98 | 0.63 | 0.04 | asserted 1.00 |
| s4 | The quadrature rule used in this work is a recently proposed "implicit" quadrature rule, which has the main advantage that it can be constructed directly using measurements of the environment. | method 0.93 | 0.41 | 0.06 | asserted 1.00 |
| s5 | It is demonstrated that the proposed approach yields accurate estimations of the equivalent loads using a significantly reduced number of aeroelastic model evaluations (compared to binning). | result 1.00 | 0.93 | 0.75 | asserted 1.00 |
| s6 | Moreover the error introduced by the seeds (introduced by averaging over random wind fields and sea states) is incorporated in the quadrature framework, yielding an even further reduction in the number of aeroelastic code evaluations. | contribution 0.43 | 0.91 | 0.11 | asserted 1.00 |
| s7 | The reduction in computational time is demonstrated by assessing the fatigue loads on the NREL 5MW reference offshore wind turbine in conjunction with measurement data obtained at the North Sea, both for a simplified and a full load case. | result 0.66 | 0.94 | 0.17 | asserted 1.00 |
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Original abstract
A novel approach is proposed to reduce, compared to the conventional binning approach, the large number of aeroelastic code evaluations that are necessary to obtain equivalent loads acting on wind turbines. These loads describe the effect of long-term environmental variability on the fatigue loads of a horizontal-axis wind turbine. In particular Design Load Case 1.2, as standardized by IEC, is considered. The approach is based on numerical integration techniques and, more specifically, quadrature rules. The quadrature rule used in this work is a recently proposed "implicit" quadrature rule, which has the main advantage that it can be constructed directly using measurements of the environment. It is demonstrated that the proposed approach yields accurate estimations of the equivalent loads using a significantly reduced number of aeroelastic model evaluations (compared to binning). Moreover the error introduced by the seeds (introduced by averaging over random wind fields and sea states) is incorporated in the quadrature framework, yielding an even further reduction in the number of aeroelastic code evaluations. The reduction in computational time is demonstrated by assessing the fatigue loads on the NREL 5MW reference offshore wind turbine in conjunction with measurement data obtained at the North Sea, both for a simplified and a full load case.
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In this work we use the implicit quadrature rule to determine the nodes and the weights [ref] .
Generating nested quadrature rules with positive weights based on arbitrary sample sets · Nomenclature · 1.00
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