Reducing conservatism in highest density environmental contours

Haselsteiner, Andreas F.; Mackay, Ed; Thoben, Klaus‐Dieter

doi:10.1016/j.apor.2021.102936

Cited by 11 publications

(4 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In their investigation, the marginal probability distribution of log0.2emfalse(gfalse)=n−1∑log(ffalse~false(X1i,X2ifalse)) was analyzed by applying a three-parameter Weibull distribution model to a substantial amount of simulated ocean wave data. In the research carried out by Haselsteiner et al (2021) for the purpose of determining environmental contour lines with the highest density, it was also presumed that the parameter log0.2emfalse(gfalse)=n−1∑log(ffalse~false(X1i,X2ifalse)) followed a Weibull distribution with three parameters. In their study, Mackay and Haselsteiner (2021) employed a sea state model that incorporated a 3-parameter Weibull distribution to represent the sea state variable log0.2emfalse(gfalse)=n−1∑log(ffalse~false(X1i,X2ifalse)).…”

Section: Introductionmentioning

confidence: 99%

Robust adaptive analysis of extreme dynamic responses of wave energy converters

Wang

2024

Energy Exploration & Exploitation

View full text Add to dashboard Cite

In the current study, a new adaptive binned kernel density estimation method has been introduced. In the proposed new method, Fourier transforms have been utilized to accomplish the convolution rather than performing the convolution by hand. By utilizing the fast Fourier transform, direct and inverse Fourier transforms have been found in a relatively short amount of time when implementing the new method. Upon analyzing the computed results, it has been observed that the newly proposed adaptive binned kernel density estimation distribution curve exhibits a high level of smoothness in the tail region. Furthermore, it demonstrates a strong alignment with the histogram derived from the recorded ocean wave dataset obtained at the NDBC station 46053. These are the major advantages of the proposed new method comparing with other existing methods such as the parametric method, the ordinary KDE method, and Abramson's adaptive KDE method. The specific research gap identified in the field is that none of the existing methods can predict the sea state parameter probability distribution tails both accurately and efficiently, and the proposed new method has successfully addressed this research gap. Upon careful examination of the calculation results, it becomes evident that the projected 50-year extreme power-take-off heaving force value, derived using the newly proposed method, is 1989300N. This value significantly surpasses (by more than 9.5%) the forecasted value of 1816200N obtained through the application of the Rosenblatt-I-SORM contour method. The findings of this study suggest that the newly proposed adaptive binned kernel density estimation method exhibits robustness and demonstrates accurate forecasting capabilities for the 50-year extreme dynamic responses of wave energy converters.

show abstract

Section: Introductionmentioning

confidence: 99%

Robust adaptive analysis of extreme dynamic responses of wave energy converters

Wang

2024

Energy Exploration & Exploitation

View full text Add to dashboard Cite

show abstract

“…In this study, the marginal probability distribution of Hs was described by using a 3-parameter Weibull distribution model fitted to a large set of simulated ocean wave data. In the study of Haselsteiner et al (2021) for deriving highest density environmental contour lines, the Hs was also assumed to follows a 3-parameter Weibull distribution. Mackay and Haselsteiner (2021) used a sea state model in which the Hs is modeled using a 3-parameter Weibull distribution and subsequently obtained environmental contour lines by using a Rosenblatt transformation based on the IFORM method.…”

Section: Introductionmentioning

confidence: 99%

A novel method for analysis of offshore sustainable energy systems

Wang

2023

Energy Exploration & Exploitation

View full text Add to dashboard Cite

In the present research, we have proposed a new adaptive kernel density estimation method formulated on the theory of linear diffusion processes. By examining the calculation results we have found that in the tail region, our proposed new adaptive kernel density estimation distribution curve becomes very smooth and fits quite well with the histogram of the measured ocean wave dataset at the US National Data Buoy Center station 46026. Carefully studying the calculation results also reveals that the 50-year extreme Power-Take-Off heaving force value forecasted based on the environmental contour derived using the new method is 3021700N, which is much larger than the value 2458700N forecasted via the Rosenblatt-inverse second-order reliability method contour method. Consequently, our proposed new adaptive kernel density estimation method formulated on the theory of linear diffusion processes can forecast well and efficiently forecast the 50-year extreme design force values for offshore sustainable energy systems.

show abstract

Section: Introductionmentioning

confidence: 99%

“…In this study, the marginal probability distribution of Hs was described by using a 3-parameter Weibull distribution model fitted to a large set of simulated ocean wave data. In the study of Haselsteiner et al (2021) for deriving highest density environmental contour lines, the H S was also assumed to follows a 3-parameter Weibull distribution. Mackay and Haselsteiner (2021) used a sea state model in which the H S is modeled using a 3-parameter Weibull distribution and subsequently obtained environmental contour lines by using a Rosenblatt transformation based on the IFORM method.…”

Section: Introductionmentioning

confidence: 99%

Robust adaptive analysis of dynamic responses of wave energy converters

Wang

2023

View full text Add to dashboard Cite

PurposeThe purpose of this paper is to exploit a new and robust method to forecast the long-term extreme dynamic responses for wave energy converters (WECs).Design/methodology/approachA new adaptive binned kernel density estimation (KDE) methodology is first proposed in this paper.FindingsBy examining the calculation results the authors has found that in the tail region the proposed new adaptive binned KDE distribution curve becomes very smooth and fits quite well with the histogram of the measured ocean wave dataset at the National Data Buoy Center (NDBC) station 46,059. Carefully studying the calculation results also reveals that the 50-year extreme power-take-off heaving force value forecasted based on the environmental contour derived using the new method is 3572600N, which is much larger than the value 2709100N forecasted via the Rosenblatt-inverse second-order reliability method (ISORM) contour method.Research limitations/implicationsThe proposed method overcomes the disadvantages of all the existing nonparametric and parametric methods for predicting the tail region probability density values of the sea state parameters.Originality/valueIt is concluded that the proposed new adaptive binned KDE method is robust and can forecast well the 50-year extreme dynamic responses for WECs.

show abstract

Reducing conservatism in highest density environmental contours

Cited by 11 publications

References 41 publications

Robust adaptive analysis of extreme dynamic responses of wave energy converters

Robust adaptive analysis of extreme dynamic responses of wave energy converters

A novel method for analysis of offshore sustainable energy systems

Robust adaptive analysis of dynamic responses of wave energy converters

Contact Info

Product

Resources

About