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Technical Briefs

Wave Power Statistics for Sea States

[+] Author and Article Information
Dag Myrhaug

Department of Marine Technology, Norwegian University of Science and Technology, NO-7491 Trondheim, Norwaydag.myrhaug@ntnu.no

Bernt J. Leira, Håvard Holm

Department of Marine Technology, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway

J. Offshore Mech. Arct. Eng 133(4), 044501 (Apr 11, 2011) (5 pages) doi:10.1115/1.4002739 History: Received April 21, 2009; Revised August 11, 2010; Published April 11, 2011; Online April 11, 2011

This paper provides a bivariate distribution of wave power and significant wave height, as well as a bivariate distribution of wave power and a characteristic wave period for sea states, and the statistical aspects of wave power for sea states are discussed. This is relevant for, e.g., making assessments of wave power devices and their potential for converting energy from waves. The results can be applied to compare systematically the wave power potential at different locations based on long term statistical description of the wave climate.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Isocontours of p(Hs,j) based on the MGAU05 model. The levels of the six contours from the outermost contour are 0.005, 0.01, 0.015, 0.02, 0.025, and 0.03.

Grahic Jump Location
Figure 2

Isocontours of p(Hs,j) based on BGGS07 (data set 5). The levels of the six contours from the outermost contour are 0.005, 0.01, 0.015, 0.02, 0.025, and 0.03.

Grahic Jump Location
Figure 3

The integrand of the double integral in Eq. 23 based on the MGAU05 pdf of Hs and Tp, i.e., the wave power density as a function of Hs and Tp. The levels of the seven contours of the integrand from the outermost contour are 0.5 m2 s, 1.0 m2 s, 1.5 m2 s, 2.0 m2 s, 2.5 m2 s, 3.0 m2 s, and 3.5 m2 s.

Grahic Jump Location
Figure 5

Comparison of contribution to total wave power as function of significant wave height for all six distributions (i.e., MGAU05, BGGS07-data sets 1–5), i.e., the integrand in the last line of Eq. 23

Grahic Jump Location
Figure 6

Isocontours of p(Tp,j) based on MGAU05. The levels of the seven contours from the outermost contour are 0.0005, 0.001, 0.0015, 0.002, 0.0025, 0.003, and 0.0035.

Grahic Jump Location
Figure 7

Isocontours of p(Tz,j) based on BGGS07 (data set 5). The levels of the eight contours from the outermost contour are 0.0005, 0.001, 0.0015, 0.002, 0.0025, 0.003, 0.0035, and 0.004.

Grahic Jump Location
Figure 8

Comparison of contribution to total wave power as function of T=Tp for the MGAU05 model and as a function of T=Tz for the BGGS07-data sets 1–5, i.e., the integrand in Eq. 25

Grahic Jump Location
Figure 4

The integrand of the double integral in Eq. 23 based on the BGGS07 (data set 5) pdf of Hs and Tz, i.e., the wave power density as a function of Hs and Tz. The levels of the eight contours of the integrand from the outermost contour are 0.5–7.5 m2 s in intervals of 1.0 m2 s.

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