Numerical simulation of parametric resonance in point absorbers using a simplified model
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 simulat...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-10-01
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| Series: | IET Renewable Power Generation |
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| Online Access: | https://doi.org/10.1049/rpg2.12229 |
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| author | Adi Kurniawan Thanh Toan Tran Scott A. Brown Claes Eskilsson Jana Orszaghova Deborah Greaves |
| author_facet | Adi Kurniawan Thanh Toan Tran Scott A. Brown Claes Eskilsson Jana Orszaghova Deborah Greaves |
| author_sort | Adi Kurniawan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e47e7594189244a3bdab46137c4736ec |
| institution | Kabale University |
| issn | 1752-1416 1752-1424 |
| language | English |
| publishDate | 2021-10-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Renewable Power Generation |
| spelling | doaj-art-e47e7594189244a3bdab46137c4736ec2025-08-20T03:28:32ZengWileyIET Renewable Power Generation1752-14161752-14242021-10-0115143186320510.1049/rpg2.12229Numerical simulation of parametric resonance in point absorbers using a simplified modelAdi Kurniawan0Thanh Toan Tran1Scott A. Brown2Claes Eskilsson3Jana Orszaghova4Deborah Greaves5Oceans Graduate School Wave Energy Research Centre The University of Western Australia Perth AustraliaNational Renewable Energy Laboratory Golden Colorado USASchool of Engineering, Computing and Mathematics University of Plymouth Plymouth UKDepartment of the Built Environment Aalborg University Aalborg DenmarkOceans Graduate School Wave Energy Research Centre The University of Western Australia Perth AustraliaSchool of Engineering, Computing and Mathematics University of Plymouth Plymouth UKAbstract 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.https://doi.org/10.1049/rpg2.12229Function theory, analysisNumerical approximation and analysisGeneral fluid dynamics theory, simulation and other computational methodsApplied fluid mechanicsSurface waves, tides, and sea levelFluid mechanics and aerodynamics (mechanical engineering) |
| spellingShingle | Adi Kurniawan Thanh Toan Tran Scott A. Brown Claes Eskilsson Jana Orszaghova Deborah Greaves Numerical simulation of parametric resonance in point absorbers using a simplified model IET Renewable Power Generation Function theory, analysis Numerical approximation and analysis General fluid dynamics theory, simulation and other computational methods Applied fluid mechanics Surface waves, tides, and sea level Fluid mechanics and aerodynamics (mechanical engineering) |
| title | Numerical simulation of parametric resonance in point absorbers using a simplified model |
| title_full | Numerical simulation of parametric resonance in point absorbers using a simplified model |
| title_fullStr | Numerical simulation of parametric resonance in point absorbers using a simplified model |
| title_full_unstemmed | Numerical simulation of parametric resonance in point absorbers using a simplified model |
| title_short | Numerical simulation of parametric resonance in point absorbers using a simplified model |
| title_sort | numerical simulation of parametric resonance in point absorbers using a simplified model |
| topic | Function theory, analysis Numerical approximation and analysis General fluid dynamics theory, simulation and other computational methods Applied fluid mechanics Surface waves, tides, and sea level Fluid mechanics and aerodynamics (mechanical engineering) |
| url | https://doi.org/10.1049/rpg2.12229 |
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