Comparative Study of Time-Domain Fatigue Assessments for an Offshore Wind Turbine Jacket Substructure by Using Conventional Grid-Based and Monte Carlo Sampling Methods

Currently, in the design standards for environmental sampling to assess long-term fatigue damage, the grid-based sampling method is used to scan a rectangular grid of meteorological inputs. However, the required simulation cost increases exponentially with the number of environmental parameters, and...

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Main Authors: Chi-Yu Chian, Yi-Qing Zhao, Tsung-Yueh Lin, Bryan Nelson, Hsin-Haou Huang
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/11/11/3112
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author Chi-Yu Chian
Yi-Qing Zhao
Tsung-Yueh Lin
Bryan Nelson
Hsin-Haou Huang
author_facet Chi-Yu Chian
Yi-Qing Zhao
Tsung-Yueh Lin
Bryan Nelson
Hsin-Haou Huang
author_sort Chi-Yu Chian
collection DOAJ
description Currently, in the design standards for environmental sampling to assess long-term fatigue damage, the grid-based sampling method is used to scan a rectangular grid of meteorological inputs. However, the required simulation cost increases exponentially with the number of environmental parameters, and considerable time and effort are required to characterise the statistical uncertainty of offshore wind turbine (OWT) systems. In this study, a K-type jacket substructure of an OWT was modelled numerically. Time rather than frequency-domain analyses were conducted because of the high nonlinearity of the OWT system. The Monte Carlo (MC) sampling method is well known for its theoretical convergence, which is independent of dimensionality. Conventional grid-based and MC sampling methods were applied for sampling simulation conditions from the probability distributions of four environmental variables. Approximately 10,000 simulations were conducted to compare the computational efficiencies of the two sampling methods, and the statistical uncertainty of the distribution of fatigue damage was assessed. The uncertainty due to the stochastic processes of the wave and wind loads presented considerable influence on the hot-spot stress of welded tubular joints of the jacket-type substructure. This implies that more simulations for each representative short-term environmental condition are required to derive the characteristic fatigue damage. The characteristic fatigue damage results revealed that the MC sampling method yielded the same error level for Grids 1 and 2 (2443 iterations required for both) after 1437 and 516 iterations for K- and KK-joint cases, respectively. This result indicated that the MC method has the potential for a high convergence rate.
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spelling doaj.art-8a557c0f972442f09b475e657781cf1c2022-12-22T02:22:09ZengMDPI AGEnergies1996-10732018-11-011111311210.3390/en11113112en11113112Comparative Study of Time-Domain Fatigue Assessments for an Offshore Wind Turbine Jacket Substructure by Using Conventional Grid-Based and Monte Carlo Sampling MethodsChi-Yu Chian0Yi-Qing Zhao1Tsung-Yueh Lin2Bryan Nelson3Hsin-Haou Huang4Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei 106, TaiwanDepartment of Engineering Science and Ocean Engineering, National Taiwan University, Taipei 106, TaiwanR/D Section, Research Department, CR Classification Society, Taipei 10487, TaiwanR/D Section, Research Department, CR Classification Society, Taipei 10487, TaiwanDepartment of Engineering Science and Ocean Engineering, National Taiwan University, Taipei 106, TaiwanCurrently, in the design standards for environmental sampling to assess long-term fatigue damage, the grid-based sampling method is used to scan a rectangular grid of meteorological inputs. However, the required simulation cost increases exponentially with the number of environmental parameters, and considerable time and effort are required to characterise the statistical uncertainty of offshore wind turbine (OWT) systems. In this study, a K-type jacket substructure of an OWT was modelled numerically. Time rather than frequency-domain analyses were conducted because of the high nonlinearity of the OWT system. The Monte Carlo (MC) sampling method is well known for its theoretical convergence, which is independent of dimensionality. Conventional grid-based and MC sampling methods were applied for sampling simulation conditions from the probability distributions of four environmental variables. Approximately 10,000 simulations were conducted to compare the computational efficiencies of the two sampling methods, and the statistical uncertainty of the distribution of fatigue damage was assessed. The uncertainty due to the stochastic processes of the wave and wind loads presented considerable influence on the hot-spot stress of welded tubular joints of the jacket-type substructure. This implies that more simulations for each representative short-term environmental condition are required to derive the characteristic fatigue damage. The characteristic fatigue damage results revealed that the MC sampling method yielded the same error level for Grids 1 and 2 (2443 iterations required for both) after 1437 and 516 iterations for K- and KK-joint cases, respectively. This result indicated that the MC method has the potential for a high convergence rate.https://www.mdpi.com/1996-1073/11/11/3112jacket substructurefatigue damagestatistical uncertaintyMonte Carlo methodtime domainoffshore wind turbine
spellingShingle Chi-Yu Chian
Yi-Qing Zhao
Tsung-Yueh Lin
Bryan Nelson
Hsin-Haou Huang
Comparative Study of Time-Domain Fatigue Assessments for an Offshore Wind Turbine Jacket Substructure by Using Conventional Grid-Based and Monte Carlo Sampling Methods
Energies
jacket substructure
fatigue damage
statistical uncertainty
Monte Carlo method
time domain
offshore wind turbine
title Comparative Study of Time-Domain Fatigue Assessments for an Offshore Wind Turbine Jacket Substructure by Using Conventional Grid-Based and Monte Carlo Sampling Methods
title_full Comparative Study of Time-Domain Fatigue Assessments for an Offshore Wind Turbine Jacket Substructure by Using Conventional Grid-Based and Monte Carlo Sampling Methods
title_fullStr Comparative Study of Time-Domain Fatigue Assessments for an Offshore Wind Turbine Jacket Substructure by Using Conventional Grid-Based and Monte Carlo Sampling Methods
title_full_unstemmed Comparative Study of Time-Domain Fatigue Assessments for an Offshore Wind Turbine Jacket Substructure by Using Conventional Grid-Based and Monte Carlo Sampling Methods
title_short Comparative Study of Time-Domain Fatigue Assessments for an Offshore Wind Turbine Jacket Substructure by Using Conventional Grid-Based and Monte Carlo Sampling Methods
title_sort comparative study of time domain fatigue assessments for an offshore wind turbine jacket substructure by using conventional grid based and monte carlo sampling methods
topic jacket substructure
fatigue damage
statistical uncertainty
Monte Carlo method
time domain
offshore wind turbine
url https://www.mdpi.com/1996-1073/11/11/3112
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