Wave Power Statistics for Sea States

Abstract

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.

Estimation of wave power in shallow water using deep water wind and wave statistics

“…As referred to in section “Background” the wave power in shallow water is also given in terms of the sea state parameters H s and T z in deep water. Thus, the statistical properties of the wave power can be derived from the joint statistics of H s and T z in deep water (see equation (5)) by following a procedure similar to that given in, for example, Myrhaug et al 8 However, here the alternative of using the joint probability density function ( pdf ) of H s and the spectral wave steepness s m provided by Myrhaug 20 is applied. The spectral deep water wave steepness is defined as s m = H s / ( ( g / 2 π ) T z 2 ) .…”

“…( 5)) by following a procedure similar to that given in e.g. Myrhaug et al 8 . However, here the alternative of using the joint probability density function (pdf) of and the spectral wave steepness provided by Myrhaug 20 is applied.…”

“…Sea states are characterized by the significant wave height H s and the mean zero-crossing wave period T z (or the spectral peak period T p ), and the individual random waves within a sea state are characterized by the wave height H and the wave period T. Thus, the statistical properties of wave power for sea states and for individual waves are of interest; also jointly with the corresponding sea state wave parameters and the individual wave parameters. Wave power statistics for sea states based on wave statistics have been provided by, for example, Ertekin and Xu, 4 Pontes, 5 Beels et al, 6 Kerbiriou et al, 7 and Myrhaug et al 8 Previous works on wave power statistics for individual waves based on wave statistics are Smith et al, 9 Venugopal and Smith, 1 Myrhaug et al, 10 and Leira and Myrhaug. 11 Izadparast and Niedzwecki 12 applied joint statistics of H and T and provided an example of how to evaluate the longterm potential of wave power.…”

“…Wave power statistics for sea states based on wave statistics have been provided by e.g. Ertekin and Xu 4 , Pontes 5 , Beels et al 6 , Kerbiriou et al 7 and Myrhaug et al 8 . Previous works on wave power statistics for individual waves based on waves statistics are Smith et al 9 , Venugopal and Smith 1 , Myrhaug et al 10 , and Leira and Myrhaug 11 .…”

Joint Modelling of Wave Energy Flux and Wave Direction

“…For instance, parametric bivariate distributions, conditional-distribution approach, kernel-based models, and copula-based models as well, provide alternative probabilistic description of these variables; see, e.g., [27,[30][31][32]. Furthermore, [33,34] have provided distributions for the joint description of wave power-wave height and wave power-wave period for individual waves, an approach that is complementary in long-term analysis of the wave climate at a particular site.…”