Influences of wave resonance on hydrodynamic efficiency and loading of an OWC array under oblique waves

Zhao, Xuanlie; Zou, Qingping; Geng, Jing; Zhang, Yang; Wang, Zhi Jie

doi:10.1016/j.apor.2022.103069

Cited by 25 publications

(4 citation statements)

References 52 publications

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“…The authors in [147] also considered the problem of incidence angle as well as sloshing in the case of dual-chamber OWCs affixed to a coastline (with a secondary function as protectors from erosion and flooding). Other studies considering an array of OWCs on a coastline using partial differential equations can be found in [148,149]. In [149], the authors were able to make several important conclusions regarding the positive and negative effects on energy generation resulting from the coastline array configuration, including that by having channels between the OWCs, the wave amplitude is amplified, which can potentially improve energy extraction.…”

Section: The Modeling and Control Of Wave Energy Using Pdesmentioning

confidence: 99%

The Modeling and Control of (Renewable) Energy Systems by Partial Differential Equations—An Overview

Radisavljevic-Gajic,

Karagiannis,

Gajic

2023

Energies

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Mathematical models of energy systems have been mostly represented by either linear or nonlinear ordinary differential equations. This is consistent with lumped-parameter dynamic system modeling, where dynamics of system state variables can be fully described only in the time domain. However, when dynamic processes of energy systems display both temporal and spatial evolutions (as is the case of distributed-parameter systems), the use of partial differential equations is necessary. Distributed-parameter systems, being described by partial differential equations, are mathematically (and computationally) much more difficult for modeling, analysis, simulation, and control. Despite these difficulties in recent years, quite a significant number of papers that use partial differential equations to model and control energy processes and systems have appeared in journal and conference publications and in some books. As a matter of fact, distributed-parameter systems are a modern trend in the areas of control systems engineering and some energy systems. In this overview, we will limit our attention mostly to renewable energy systems, particularly to partial differential equation modeling, simulation, analysis, and control papers published on fuel cells, wind turbines, solar energy, batteries, and wave energy. In addition, we will indicate the state of some papers published on tidal energy systems that can be modelled, analyzed, simulated, and controlled using either lumped or distributed-parameter models. This paper will first of all provide a review of several important research topics and results obtained for several classes of renewable energy systems using partial differential equations. Due to a substantial number of papers published on these topics in the past decade, the time has come for an overview paper that will help researchers in these areas to develop a systematic approach to modeling, analysis, simulation, and control of energy processes and systems whose time–space evolutions are described by partial differential equations. The presented overview was written after the authors surveyed more than five hundred publications available in well-known databases such as IEEE, ASME, Wiley, Google, Scopus, and Web of Science. To the authors’ best knowledge, no such overview on PDEs for energy systems is available in the scientific and engineering literature. Throughout the paper, the authors emphasize novelties, originalities, and new ideas, and identify open problems for future research. To achieve this goal, the authors reviewed more than five hundred journal articles and conference papers.

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Section: The Modeling and Control Of Wave Energy Using Pdesmentioning

confidence: 99%

The Modeling and Control of (Renewable) Energy Systems by Partial Differential Equations—An Overview

Radisavljevic-Gajic,

Karagiannis,

Gajic

2023

Energies

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“…Cost-sharing, space-sharing, and multi-function can be achieved through integrating wave energy converters into coastal defense facilities (Falcão and Henriques, 2016;Portillo Juan et al, 2022;Vicinanza et al, 2019;Zhao et al, 2019). Benefits can also be gained by increasing the efficiency of wave energy devices and reducing the wave loads on breakwaters (Zhao et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

“…But, the length of the OWC caisson in along-shore direction is assumed to be infinite. Li et al (2022) and Zhao et al (2022) developed the semi-analytical model for wave interaction with OWC caisson array. Different to Rodríguez et al (2021), the array effect is considered mathematically by introducing the periodical boundary conditions in Zhao et al (2022).…”

Section: Introductionmentioning

confidence: 99%

“…Li et al (2022) and Zhao et al (2022) developed the semi-analytical model for wave interaction with OWC caisson array. Different to Rodríguez et al (2021), the array effect is considered mathematically by introducing the periodical boundary conditions in Zhao et al (2022). In addition, they found that the triggering of the along-shore sloshing resonance mitigates the hydrodynamic efficiency and significantly increases the wave loading on the wall.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Wave power extraction by an oscillating water column array embedded in comb-type breakwaters: Performance analysis and hydrodynamic mechanism

2023

Physics of Fluids

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Cost-sharing, space-sharing, and multi-function can be achieved through integrating wave energy converters into coastal defense facilities. In this paper, we consider a periodical array of oscillating water columns (OWCs) embedded in the coast-based comb-type breakwater in the presence of the step bottom. Based on the linear potential flow theory and matched eigenfunction expansion method, a semi-analytical model for solving the diffraction and radiation problems of the periodic OWC array is developed. The mathematical model is verified using Haskind relations and energy conservation law. Parametrical studies are carried out to illustrate the hydrodynamic characteristics of the OWC array embedded in the comb-type breakwater. This study also reveals the constructive and destructive interference effects between the breakwater and OWCs. It is found that the wave amplification caused by the projecting caisson produces a constructive effect on the wave power extraction. However, the inherent strong wave reflection caused by the caisson array weakens the wave power extraction, particularly in the sensitive frequency range (i.e., 2 < kh1 < 5.5 in the present investigations).

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Hydrodynamic Performance of a Very Large Floating Structure with Oscillating Water Columns: Semi-analytical Investigation

Zhou,

Zhao,

Zang

et al. 2023

J. Marine. Sci. Appl.

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Influences of wave resonance on hydrodynamic efficiency and loading of an OWC array under oblique waves

Cited by 25 publications

References 52 publications

The Modeling and Control of (Renewable) Energy Systems by Partial Differential Equations—An Overview

The Modeling and Control of (Renewable) Energy Systems by Partial Differential Equations—An Overview

Wave power extraction by an oscillating water column array embedded in comb-type breakwaters: Performance analysis and hydrodynamic mechanism

Hydrodynamic Performance of a Very Large Floating Structure with Oscillating Water Columns: Semi-analytical Investigation

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