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Bivariate joint distribution modeling of wave climate data using a copula method
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Electricity.
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Electricity.
Tsinghua Univ, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R China.
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Electricity.
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2016 (English)In: International Journal of Energy and Statistics, ISSN 2335-6812, Vol. 4, no 3, article id UNSP 1650015Article in journal (Refereed) Published
Abstract [en]

The bivariate joint distribution of the significant wave height and the wave period is of great importance in characterizing the wave climate at a wave energy converter test site. In this paper, we investigate bivariate joint distribution modeling of the wave climate at the Lysekil wave energy converter test site off the Swedish west coast. This study is based on 9 years of wave observations at the test site from 2005 to 2013. Archimedean Copulas are used for the bivariate joint distribution modeling of the significant wave height and the wave period. Measured wave data is compared with simulated wave climate data for the Lysekil test site using three Archimedean Copula models, the Clayton, Frank and Gumbel copulas. The R-squared statistical test yields a better goodness of fit for the Gumbel copula compared to the other two copulas. In addition, the Archimedean Copula method is applied to the measured wave climate data from two other sites to illustrate the general applicability. It shows that the Archimedean Copulas exhibits stable performance with good accuracy in characterizing the wave climate and they can be employed for forecasting the wave energy resource and assessing the survivability of wave energy converters.

Place, publisher, year, edition, pages
World Scientific Publishing, 2016. Vol. 4, no 3, article id UNSP 1650015
Keyword [en]
Bivariate distribution; wave climate; archimedean copula; significant wave height; wave period; wave energy
National Category
Ocean and River Engineering
Research subject
Engineering Science with specialization in Electronics
Identifiers
URN: urn:nbn:se:uu:diva-305254DOI: 10.1142/S2335680416500150ISI: 000385589900005OAI: oai:DiVA.org:uu-305254DiVA, id: diva2:1037109
Available from: 2016-10-13 Created: 2016-10-13 Last updated: 2016-11-21Bibliographically approved
In thesis
1. Numerical Modelling and Statistical Analysis of Ocean Wave Energy Converters and Wave Climates
Open this publication in new window or tab >>Numerical Modelling and Statistical Analysis of Ocean Wave Energy Converters and Wave Climates
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Ocean wave energy is considered to be one of the important potential renewable energy resources for sustainable development. Various wave energy converter technologies have been proposed to harvest the energy from ocean waves. This thesis is based on the linear generator wave energy converter developed at Uppsala University. The research in this thesis focuses on the foundation optimization and the power absorption optimization of the wave energy converters and on the wave climate modelling at the Lysekil wave converter test site.

The foundation optimization study of the gravity-based foundation of the linear wave energy converter is based on statistical analysis of wave climate data measured at the Lysekil test site. The 25 years return extreme significant wave height and its associated mean zero-crossing period are chosen as the maximum wave for the maximum heave and surge forces evaluation.

The power absorption optimization study on the linear generator wave energy converter is based on the wave climate at the Lysekil test site. A frequency-domain simplified numerical model is used with the power take-off damping coefficient chosen as the control parameter for optimizing the power absorption. The results show a large improvement with an optimized power take-off damping coefficient adjusted to the characteristics of the wave climate at the test site.

The wave climate modelling studies are based on the wave climate data measured at the Lysekil test site. A new mixed distribution method is proposed for modelling the significant wave height. This method gives impressive goodness of fit with the measured wave data. A copula method is applied to the bivariate joint distribution of the significant wave height and the wave period. The results show an excellent goodness of fit for the Gumbel model. The general applicability of the proposed mixed-distribution method and the copula method are illustrated with wave climate data from four other sites. The results confirm the good performance of the mixed-distribution and the Gumbel copula model for the modelling of significant wave height and bivariate wave climate.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2016. p. 58
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1447
Keyword
Wave power, Wave energy converter, Gravity-based foundation, Power absorption, Wave spectrum, Linear generator, Frequency domain, Wave climate, Ocean wave modelling, Mixed-distribution model, Bivariate distribution, Archimedean copula
National Category
Engineering and Technology
Identifiers
urn:nbn:se:uu:diva-305870 (URN)978-91-554-9738-5 (ISBN)
Public defence
2016-12-12, Ångstrom 10132, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 13:15 (English)
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Available from: 2016-11-18 Created: 2016-10-24 Last updated: 2016-11-28

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