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Research Papers: Alternative Energy Sources

Long-Term Wave Power Statistics for Individual Waves

[+] Author and Article Information
Bernt J. Leira

Mem. ASME
Department of Marine Technology,
NTNU,
MTS,
Otto Nielsens vei 10,
Trondheim NO-7491, Norway
e-mail: Bernt.Leira@ntnu.no

Dag Myrhaug

Department of Marine Technology,
NTNU,
MTS,
Otto Nielsens vei 10,
Trondheim NO-7491, Norway
e-mail: Dag. Myrhaug@ntnu.no

Contributed by the Advanced Energy Systems Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received October 14, 2013; final manuscript received February 12, 2015; published online March 17, 2015. Assoc. Editor: Kau-Fui Wong.

J. Energy Resour. Technol 137(4), 041202 (Jul 01, 2015) (7 pages) Paper No: JERT-13-1293; doi: 10.1115/1.4029869 History: Received October 14, 2013; Revised February 12, 2015; Online March 17, 2015

The paper provides long-term bivariate distributions of wave power with wave height, and wave power with wave period. This is relevant for 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 for individual waves at different locations based on short-term statistical description of the individual waves and the long-term statistical information of the wave climate. Furthermore, it allows for assessment of the efficiency of a given wave power device for each location.

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Copyright © 2015 by ASME
Topics: Waves , Wave energy
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References

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Figures

Grahic Jump Location
Fig. 1

Joint probability density p(j,h) of h and j (left part). Corresponding isocontours for the levels of the seven outer contours counted from the outermost contour are (0.1, 0.25, 0.5, 0.75, 1.0, 2.0, 4.0) (right upper part). Isocontours for the levels of the eight outer contours counted from the outermost contour are (40.0, 45.0, 50.0, 55.0, 60.0, 65.0, 70.0, 75.0) (lowermost part).

Grahic Jump Location
Fig. 2

Joint probability density p(j,t) of t and j (left part). Corresponding isocontours for the levels of the six outer contours counted from the outermost contour are (1.0, 1.5, 2.0, 2.5, 3.0, 3.2) (right part).

Grahic Jump Location
Fig. 7

Integrand of expected energy with respect to wave period, JxpL(J,T) (left part). Corresponding isocontours for the levels of the four outer contours (from the outermost contour and inward) are (0.01, 0.02, 0.03, 0.04) (right part). The latter contour (i.e., 0.04) shows up almost as a single point.

Grahic Jump Location
Fig. 6

Integrand of expected energy with respect to wave height JxpL(J,H) (left part). Corresponding isocontours for the levels of the four outer contours counted from the outermost contour are (0.01, 0.05, 0.1, 0.5) (right part). The latter contour (i.e., 0.5) shows up almost as a single point.

Grahic Jump Location
Fig. 5

Marginal density function (full line) together with fitted “low-range” Gamma density function (with shape parameter 0.44 and scale parameter 35.7) (broken line)

Grahic Jump Location
Fig. 4

Joint probability density pL(J,T) of J and T (left part). Corresponding isocontours for the levels of the four outer contours counted from the outermost contour are (0.1, 0.2, 1.0, 5.0) (right part).

Grahic Jump Location
Fig. 3

Joint probability density pL(J,H) of J and H (left part). Corresponding isocontours for the levels of the seven outer contours counted from the outermost contour are (0.005, 0.01, 0.02, 0.1, 0.2, 1.0, 5.0) (right part).

Grahic Jump Location
Fig. 8

Expected wave power versus wave height (left) and conditional expected wave power versus wave height (right)

Grahic Jump Location
Fig. 9

Expected wave power versus wave period (left) and conditional expected wave power versus wave period (right)

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