Numerical simulation of parametric resonance in point absorbers using a simplified model
Parametric resonance is a non‐linear phenomenon in which a system can oscillate at a frequency different from its exciting frequency. Some wave energy converters are prone to this phenomenon, which is usually detrimental to their performance. Here, a computationally efficient way of simulating param...
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| Vydané v: | IET renewable power generation Ročník 15; číslo 14; s. 3186 - 3205 |
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| Hlavní autori: | , , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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United Kingdom
Institution of Engineering and Technology (IET)
01.10.2021
Wiley |
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| ISSN: | 1752-1416, 1752-1424 |
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| Abstract | Parametric resonance is a non‐linear phenomenon in which a system can oscillate at a frequency different from its exciting frequency. Some wave energy converters are prone to this phenomenon, which is usually detrimental to their performance. Here, a computationally efficient way of simulating parametric resonance in point absorbers is presented. The model is based on linear potential theory, so the wave forces are evaluated at the mean position of the body. However, the first‐order variation of the body's centres of gravity and buoyancy is taken into account. This gives essentially the same result as a more rigorous approach of keeping terms in the equation of motion up to second order in the body motions. The only difference from a linear model is the presence of non‐zero off‐diagonal elements in the mass matrix. The model is benchmarked against state‐of‐the‐art non‐linear Froude–Krylov and computational fluid dynamics models for free decay, regular wave, and focused wave group cases. It is shown that the simplified model is able to simulate parametric resonance in pitch to a reasonable accuracy even though no non‐linear wave forces are included. The simulation speed on a standard computer is up to two orders of magnitude faster than real time. |
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| AbstractList | Parametric resonance is a non‐linear phenomenon in which a system can oscillate at a frequency different from its exciting frequency. Some wave energy converters are prone to this phenomenon, which is usually detrimental to their performance. Here, a computationally efficient way of simulating parametric resonance in point absorbers is presented. The model is based on linear potential theory, so the wave forces are evaluated at the mean position of the body. However, the first‐order variation of the body's centres of gravity and buoyancy is taken into account. This gives essentially the same result as a more rigorous approach of keeping terms in the equation of motion up to second order in the body motions. The only difference from a linear model is the presence of non‐zero off‐diagonal elements in the mass matrix. The model is benchmarked against state‐of‐the‐art non‐linear Froude–Krylov and computational fluid dynamics models for free decay, regular wave, and focused wave group cases. It is shown that the simplified model is able to simulate parametric resonance in pitch to a reasonable accuracy even though no non‐linear wave forces are included. The simulation speed on a standard computer is up to two orders of magnitude faster than real time. Abstract Parametric resonance is a non‐linear phenomenon in which a system can oscillate at a frequency different from its exciting frequency. Some wave energy converters are prone to this phenomenon, which is usually detrimental to their performance. Here, a computationally efficient way of simulating parametric resonance in point absorbers is presented. The model is based on linear potential theory, so the wave forces are evaluated at the mean position of the body. However, the first‐order variation of the body's centres of gravity and buoyancy is taken into account. This gives essentially the same result as a more rigorous approach of keeping terms in the equation of motion up to second order in the body motions. The only difference from a linear model is the presence of non‐zero off‐diagonal elements in the mass matrix. The model is benchmarked against state‐of‐the‐art non‐linear Froude–Krylov and computational fluid dynamics models for free decay, regular wave, and focused wave group cases. It is shown that the simplified model is able to simulate parametric resonance in pitch to a reasonable accuracy even though no non‐linear wave forces are included. The simulation speed on a standard computer is up to two orders of magnitude faster than real time. |
| Author | Eskilsson, Claes Orszaghova, Jana Kurniawan, Adi Greaves, Deborah Tran, Thanh Toan Brown, Scott A. |
| Author_xml | – sequence: 1 givenname: Adi orcidid: 0000-0002-9176-3702 surname: Kurniawan fullname: Kurniawan, Adi email: adi.kurniawan@uwa.edu.au organization: The University of Western Australia – sequence: 2 givenname: Thanh Toan surname: Tran fullname: Tran, Thanh Toan organization: National Renewable Energy Laboratory – sequence: 3 givenname: Scott A. surname: Brown fullname: Brown, Scott A. organization: University of Plymouth – sequence: 4 givenname: Claes surname: Eskilsson fullname: Eskilsson, Claes organization: Aalborg University – sequence: 5 givenname: Jana surname: Orszaghova fullname: Orszaghova, Jana organization: The University of Western Australia – sequence: 6 givenname: Deborah surname: Greaves fullname: Greaves, Deborah organization: University of Plymouth |
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| Snippet | Parametric resonance is a non‐linear phenomenon in which a system can oscillate at a frequency different from its exciting frequency. Some wave energy... Abstract Parametric resonance is a non‐linear phenomenon in which a system can oscillate at a frequency different from its exciting frequency. Some wave energy... |
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| SubjectTerms | Applied fluid mechanics Fluid mechanics and aerodynamics (mechanical engineering) Function theory, analysis General fluid dynamics theory, simulation and other computational methods Numerical approximation and analysis Surface waves, tides, and sea level |
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| Title | Numerical simulation of parametric resonance in point absorbers using a simplified model |
| URI | https://onlinelibrary.wiley.com/doi/abs/10.1049%2Frpg2.12229 https://www.osti.gov/biblio/1787387 https://doaj.org/article/e47e7594189244a3bdab46137c4736ec |
| Volume | 15 |
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