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Search Results (823)

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Keywords = offshore wind power

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19 pages, 5909 KiB  
Article
Research on Overcurrent in Offshore MMC and Suppression Strategies Based on Field–Circuit Coupling Analysis
by Jun Zhang, Shuhong Wang, Youpeng Huangfu and Ruting Tang
Appl. Sci. 2025, 15(5), 2729; https://doi.org/10.3390/app15052729 - 4 Mar 2025
Viewed by 114
Abstract
Due to system failures and the limited overcurrent capability of semiconductor devices, overcurrent in modular multilevel converters (MMC) is a key factor affecting the safe and stable operation of offshore wind power MMC-HVDC (modular multilevel converter high-voltage direct current) transmission systems. This paper [...] Read more.
Due to system failures and the limited overcurrent capability of semiconductor devices, overcurrent in modular multilevel converters (MMC) is a key factor affecting the safe and stable operation of offshore wind power MMC-HVDC (modular multilevel converter high-voltage direct current) transmission systems. This paper proposes a field–circuit coupling analysis method for overcurrent research in MMC valve. The method integrates the electric field characteristics of valves with the analysis of MMC-HVDC systems. Firstly, the development process and influencing factors of overcurrent in valves in offshore wind power MMC-HVDC systems are analyzed. A field–circuit coupling model and an electric field calculation model for MMC valves are established. The electric field characteristics and stray parameters of MMC valves are analyzed synchronously and the result are incorporated into the field–circuit coupling model. The nonlinear transient parameters of surge arresters are calculated, and the results are incorporated into the field–circuit coupling model. Finally, a reasonable overcurrent suppression strategy for offshore MMC-HVDC valves is proposed based on the proposed method. The effectiveness and practicality of the field–circuit coupling overcurrent analysis method are verified through comprehensive case studies conducted on the ±500kV offshore MMC-HVDC valve overcurrent calculation and suppression. Full article
(This article belongs to the Section Marine Science and Engineering)
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17 pages, 10957 KiB  
Article
Effect of Loads on Tribological Performance of Rubber Seals at Floating Wind Power in Deep Sea
by Guibin Tan, Cheng Zhou, Jiantao Liang, Guangjing Huang, Zhixing Wang and Xing Huang
Lubricants 2025, 13(3), 111; https://doi.org/10.3390/lubricants13030111 - 3 Mar 2025
Viewed by 229
Abstract
The main shaft seal of offshore wind power equipment is one of the key components of wind power systems. However, wear issues between the seals and the main shaft caused by the intrusion of particulate matter in the environment have become a key [...] Read more.
The main shaft seal of offshore wind power equipment is one of the key components of wind power systems. However, wear issues between the seals and the main shaft caused by the intrusion of particulate matter in the environment have become a key factor affecting the service life of the equipment. To improve the surface performance of the main shaft, this study used laser cladding technology to prepare an Fe55 coating on the surface of QT-500 components. Through the wear experiments on HNBR seal pairs with the main shaft under different load conditions, this study thoroughly investigated the impact of the coating on frictional coefficients, wear mechanisms, and the wear morphology of metal surfaces. The experimental results show that the average hardness of the Fe55 coating is 533 HV, which is about 2.3 times the hardness of the substrate, and as the loading force increases, the wear form of the QT-500 metal changes from being dominated by pits to being dominated by furrows. In contrast, the wear form of the Fe55 coating is more inclined to furrows, and no pit formation is observed, indicating that the coating has improved the wear resistance of the surface. The frictional coefficient of the HNBR pair with the metal decreases with increasing load, and the frictional coefficient of the coating is lower than that of the substrate. As the loading increases, the wear morphology of the rubber surface transitions from furrows to pits, and the wear mechanism becomes abrasive wear. Full article
(This article belongs to the Special Issue Marine Tribology)
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19 pages, 3391 KiB  
Article
Characteristics Evaluation and Coordinated Control Strategy of Power-Electronics-Based MMC-HVDC Systems Connected with Wind Farms
by Lin Xu, Chang Liu, Jingyi Zhang, Zhen Tian, Pan Feng and Meng Huang
Appl. Sci. 2025, 15(5), 2582; https://doi.org/10.3390/app15052582 - 27 Feb 2025
Viewed by 157
Abstract
Modular multilevel converter–high-voltage direct current (MMC-HVDC) systems are a key technology for integrating large-scale offshore wind farms due to their flexibility, controllability, and decoupled active and reactive power characteristics. However, offshore wind farms rely on power electronic converters, resulting in low inertia, which [...] Read more.
Modular multilevel converter–high-voltage direct current (MMC-HVDC) systems are a key technology for integrating large-scale offshore wind farms due to their flexibility, controllability, and decoupled active and reactive power characteristics. However, offshore wind farms rely on power electronic converters, resulting in low inertia, which can worsen frequency fluctuations and affect system stability during major disturbances. Additionally, the decoupled power control of MMC-HVDC systems limits wind farms’ inertia contribution to the AC grid, exacerbating inertia deficiency. To address this, a coordinated inertia support strategy is proposed, utilizing a DC voltage–frequency mapping method that enables wind farms to perceive frequency variations without communication and rapidly provide inertia response. This strategy coordinates wind farms and MMC-HVDC systems to enhance frequency support. Simulations demonstrate that the proposed strategy overcomes MMC-HVDC’s decoupling effect, accelerates frequency recovery, and improves the inertia response speed, achieving faster power support and higher peak power output, thereby enhancing frequency stability. Furthermore, PSCAD/EMTDC simulations were conducted to analyze the transient characteristics of MMC-HVDC under AC-side faults, verifying that braking resistors (BRs) effectively suppress DC overvoltage, reducing wind farm power curtailment and improving system security. This study provides a new approach for frequency stability control in MMC-HVDC-based offshore wind integration and serves as a reference for further optimization of inertia support and fault protection strategies. Full article
(This article belongs to the Section Electrical, Electronics and Communications Engineering)
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16 pages, 5549 KiB  
Article
Study on the Vibration Characteristics of Wire Rope in Static Testing of Wind Turbine Blades
by Yingjie Zhang, Zhiwen Qin, Yuhuan Zhang, Jialin Li, Leian Zhang and Panpan Yang
Energies 2025, 18(5), 1138; https://doi.org/10.3390/en18051138 - 26 Feb 2025
Viewed by 114
Abstract
Significant vibrations of the traction wire rope can impact the efficiency and accuracy of static testing in wind turbine blade assessments. This study focuses on the vibration characteristics of the wire rope under static loading conditions. A simulation model for single-point static tests [...] Read more.
Significant vibrations of the traction wire rope can impact the efficiency and accuracy of static testing in wind turbine blade assessments. This study focuses on the vibration characteristics of the wire rope under static loading conditions. A simulation model for single-point static tests of wind turbine blades was developed using Adams software and validated through wire rope tension and longitudinal acceleration measurements during static tests on a full-scale 71.5-m blade. The validated model was used to analyze the effects of wire rope span and pulley position on vibration amplitude and tension in single-point loading scenarios. The results show that increasing the wire rope span and the distance between the pulley and blade fixture significantly amplifies vibration. Adjusting the span of the wire rope and the pulley position causes the primary vibration frequency to approach the natural frequency, leading to a substantial increase in vibration near the resonance frequency. To avoid resonance and reduce vibration, it is recommended to use two misaligned ground tracks, ensuring the wire rope span does not exceed 30 m and the distance between the pulley and blade fixture does not exceed 7 m. Specific resonance combinations of wire rope span and pulley position should be avoided to improve the precision and reliability of the testing system. Full article
(This article belongs to the Section A3: Wind, Wave and Tidal Energy)
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11 pages, 4513 KiB  
Article
Investigating Coastal Effects on Offshore Wind Conditions in Japan Using Unmanned Aerial Vehicles
by Kazutaka Goto, Takanori Uchida, Takeshi Kishida, Daisuke Nohara, Keisuke Nakao and Ayumu Sato
Energies 2025, 18(5), 1131; https://doi.org/10.3390/en18051131 - 25 Feb 2025
Viewed by 141
Abstract
Wind conditions play a significant role in wind power generation. Offshore wind turbines in Japan are located in areas with a shorter fetch compared with those in Europe, raising concerns about more significant coastal effects on offshore wind conditions. Therefore, we conducted observations [...] Read more.
Wind conditions play a significant role in wind power generation. Offshore wind turbines in Japan are located in areas with a shorter fetch compared with those in Europe, raising concerns about more significant coastal effects on offshore wind conditions. Therefore, we conducted observations using unmanned aerial vehicles (UAVs) to investigate coastal effects on offshore wind conditions in Japan, measuring the vertical structure of meteorological parameters at multiple nearshore locations. We explored the application of data pre-processing methods to focus on the spatial variations caused by coastal effects and minimize short-term fluctuations. The results indicated that using ensemble averages of multiple vertical profiles effectively reduced short-term fluctuations. Our UAV observations revealed that stable stratification developed even within the 1300 m fetch region, with rapid growth rates. Additionally, we found that wind speeds were independent of height in some cases, suggesting that the wind profile power law is not suitable for expressing the vertical profiles of wind speed. Full article
(This article belongs to the Section A3: Wind, Wave and Tidal Energy)
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18 pages, 8696 KiB  
Article
Comparative Study on the Anti-Corrosion Performance of Epoxy Coatings Containing BIB and HFTC
by Yong Yao, Weitao Huang, Mumin Rao, Yang Cao, Congshu Huang, Yu Liang, Canxing Tan and Yeqiang Mo
Coatings 2025, 15(3), 271; https://doi.org/10.3390/coatings15030271 - 24 Feb 2025
Viewed by 373
Abstract
The main load-bearing structure of offshore wind power is mainly metal, and the corrosion of metal structures is particularly serious when exposed to corrosive environments, such as high salt and humidity for a long period of time and has attracted more and more [...] Read more.
The main load-bearing structure of offshore wind power is mainly metal, and the corrosion of metal structures is particularly serious when exposed to corrosive environments, such as high salt and humidity for a long period of time and has attracted more and more attention from researchers at home and abroad. Epoxy resin is used as a matrix resin in both primer and middle coatings. In anti-corrosion coatings, when additives are added to the epoxy system, the affinity and hydrophobicity of the additives themselves affect the protective effect of the system. In this study, the effects of two additives, BIB (containing hydrophilic groups) and HFTC (containing both hydrophilic and hydrophobic groups), on the corrosion protection properties of epoxy adhesives were investigated. The impact of these additives on the contact angle, water absorption rate, salt spray resistance, and overall corrosion resistance was evaluated using various experimental methods. The results show that the BIB additive is not conducive to the enhancement of epoxy coatings’ anti-corrosive properties due to its good hydrophilicity. The addition of HFTC can effectively improve the protective performance of the coating, and when the addition of HFTC is 0.6%, the salt spray resistance of the composite coating is optimized. This study provides valuable insights into the optimization of epoxy systems for enhanced corrosion protection in marine environments. Full article
(This article belongs to the Collection Feature Paper Collection in Corrosion, Wear and Erosion)
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21 pages, 1959 KiB  
Article
Energy Storage and Management of Offshore Wind-Based Green Hydrogen Production
by Isabella Pizzuti, Michela Conti, Giovanni Delibra, Alessandro Corsini and Alessio Castorrini
Processes 2025, 13(3), 643; https://doi.org/10.3390/pr13030643 - 24 Feb 2025
Viewed by 369
Abstract
The coupling of offshore wind energy with hydrogen production involves complex energy flow dynamics and management challenges. This study explores the production of hydrogen through a PEM electrolyzer powered by offshore wind farms and Lithium-ion batteries. A digital twin is developed in Python [...] Read more.
The coupling of offshore wind energy with hydrogen production involves complex energy flow dynamics and management challenges. This study explores the production of hydrogen through a PEM electrolyzer powered by offshore wind farms and Lithium-ion batteries. A digital twin is developed in Python with the aim of supporting the sizing and carrying out a techno-economic analysis. A controller is designed to manage energy flows on an hourly basis. Three scenarios are analyzed by fixing the electrolyzer capacity to meet a steel plant’s hydrogen demand while exploring different wind farm configurations where the electrolyzer capacity represents 40%, 60%, and 80% of the wind farm. The layout is optimized to account for the turbine wake. Results reveal that when the electrolyzer capacity is 80% of the wind farm, a better energy balance is achieved, with 87.5% of the wind production consumed by the electrolyzer. In all scenarios, the energy stored is less than 5%, highlighting its limitation as a storage solution in this application. LCOE and LCOH differ minimally between scenarios. Saved emissions from wind power reach 268 ktonCO2/year while those from hydrogen production amount to 520 ktonCO2/year, underlying the importance of hydrogen in hard-to-abate sectors. Full article
(This article belongs to the Special Issue Sustainable Hydrogen Production Processes)
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18 pages, 3648 KiB  
Article
Pre-Filtering SCADA Data for Enhanced Machine Learning-Based Multivariate Power Estimation in Wind Turbines
by Bubin Wang, Bin Zhou, Denghao Zhu, Mingheng Zou and Haoxuan Luo
J. Mar. Sci. Eng. 2025, 13(3), 410; https://doi.org/10.3390/jmse13030410 - 22 Feb 2025
Viewed by 277
Abstract
Data generated during the shutdown or start-up processes of wind turbines, particularly in complex wind conditions such as offshore environments, often accumulate in the low-wind-speed region, leading to reduced multivariate power estimation accuracy. Therefore, developing efficient filtering methods is crucial to improving data [...] Read more.
Data generated during the shutdown or start-up processes of wind turbines, particularly in complex wind conditions such as offshore environments, often accumulate in the low-wind-speed region, leading to reduced multivariate power estimation accuracy. Therefore, developing efficient filtering methods is crucial to improving data quality and model performance. This paper proposes a novel filtering method that integrates the control strategies of variable-speed, variable-pitch wind turbines, such as maximum-power point tracking (MPPT) and pitch angle control, with statistical distribution characteristics derived from supervisory control and data acquisition (SCADA). First, thresholds for pitch angle and rotor speed are determined based on SCADA data distribution, and the filtering effect is visualized. Subsequently, a sliding window technique is employed for the secondary confirmation of potential outliers, enabling further anomaly detection (AD). Finally, the performance of the power estimation model is validated using two wind turbine datasets and two machine learning algorithms, with results compared with and without filtering. The results demonstrate that the proposed filtering method significantly enhances the accuracy of multivariate power estimation, proving its effectiveness in improving data quality for wind turbines operating in diverse and complex environments. Full article
(This article belongs to the Topic Advances in Wind Energy Technology)
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24 pages, 6513 KiB  
Review
Overview of Condition Monitoring Technology for Variable-Speed Offshore Wind Turbines
by Yuankui Wang, Hai Liu, Qingyuan Li, Xinchen Wang, Zizhao Zhou, Haiyang Xu, Dahai Zhang and Peng Qian
Energies 2025, 18(5), 1026; https://doi.org/10.3390/en18051026 - 20 Feb 2025
Viewed by 300
Abstract
With the increasing complexity of offshore wind turbine structures and the rapid expansion of wind power projects, efficient, reliable, and robust fault diagnosis and condition monitoring methods have become crucial for effective operation and maintenance management. Wind turbine condition monitoring plays a pivotal [...] Read more.
With the increasing complexity of offshore wind turbine structures and the rapid expansion of wind power projects, efficient, reliable, and robust fault diagnosis and condition monitoring methods have become crucial for effective operation and maintenance management. Wind turbine condition monitoring plays a pivotal role in improving operational efficiency. However, most existing fault diagnosis techniques based on vibration signals are designed for rotating mechanical equipment operating at constant speeds. In contrast, offshore wind turbines experience continuously varying speeds, especially during start-up, shutdown, and under fluctuating wind conditions, leading to rotor speed variations that complicate monitoring. This paper presents a comprehensive analysis of the vibration and fault characteristics of key components in the main drivetrain of offshore wind turbines, with a particular focus on monitoring non-stationary (variable speed) operations. Unlike conventional approaches, this work specifically addresses the challenges posed by the dynamic operating conditions of offshore wind turbines, providing insights into multi-component vibration signal feature extraction and fault diagnosis under variable-speed scenarios. The comparative analysis offered in this paper highlights the limitations of current methods and outlines key directions for future research, emphasizing practical solutions for fault diagnosis and condition monitoring in offshore wind turbine operations under variable-speed conditions. This study not only fills a gap in the current literature but also provides valuable guidance for enhancing the reliability and efficiency of offshore wind turbine maintenance. Full article
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16 pages, 4792 KiB  
Article
Wind Turbine Aerodynamics Simulation Using the Spectral/hp Element Framework Nektar++
by Hamidreza Abedi and Claes Eskilsson
Viewed by 190
Abstract
Wind power plays an increasingly vital role in sustainable energy development. However, accurately simulating wind turbine aerodynamics, particularly in offshore wind farms, remains challenging due to complex environmental factors such as the marine atmospheric boundary layer. This study investigates the integration and assessment [...] Read more.
Wind power plays an increasingly vital role in sustainable energy development. However, accurately simulating wind turbine aerodynamics, particularly in offshore wind farms, remains challenging due to complex environmental factors such as the marine atmospheric boundary layer. This study investigates the integration and assessment of the Actuator Line Model (ALM) within the high-order spectral/hp element framework, Nektar++, for wind turbine aerodynamic simulations. The primary objective is to evaluate the implementation and effectiveness of the ALM by analyzing aerodynamic loads, wake behavior, and computational demands. A three-bladed NREL-5MW turbine is modeled using the ALM in Nektar++, with results compared against established computational fluid dynamics (CFD) tools, including SOWFA and AMR-Wind. The findings demonstrate that Nektar++ effectively captures velocity and vorticity fields in the turbine wake while providing aerodynamic load predictions that closely align with finite-volume CFD models. Furthermore, the spectral/hp element framework exhibits favorable scalability and computational efficiency, indicating that Nektar++ is a promising tool for high-fidelity wind turbine and wind farm aerodynamic research. Full article
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27 pages, 4621 KiB  
Article
Techno-Economic Modeling of Floating Wind Farms
by Ariadna Montes, David Fournely, Jens N. Sørensen and Gunner C. Larsen
Energies 2025, 18(4), 967; https://doi.org/10.3390/en18040967 - 17 Feb 2025
Viewed by 217
Abstract
A simple techno-economic model for determining wind power production and costs related to the development of floating offshore wind power is proposed. The model is a further extension of the minimalistic prediction model for fixed-bottom wind farms previously developed by two of the [...] Read more.
A simple techno-economic model for determining wind power production and costs related to the development of floating offshore wind power is proposed. The model is a further extension of the minimalistic prediction model for fixed-bottom wind farms previously developed by two of the authors. In the extended version, costs associated with the deployment of floating structures, such as floaters, mooring lines, and anchors, including additional installation and operational expenses, are taken into account. This paper gives an overview of the costs of the various components of different types of floating wind power installations, and using actual wind climate and bathymetry data for the North Sea, the model is employed to map the annual energy production and levelized cost of energy (LCoE) for floating wind farms located in the North Sea. Full article
(This article belongs to the Special Issue Wind Turbine and Wind Farm Flows)
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17 pages, 5383 KiB  
Article
An Experimental Study on Icing on Superhydrophobic Surfaces of Wind Turbine Blades in Offshore Environments
by Yaoyao Pei, Changwei Cai, Zhi Chen, Wentao Li, Henglin Xiao, Changjie Li and Kai Liu
Coatings 2025, 15(2), 236; https://doi.org/10.3390/coatings15020236 - 16 Feb 2025
Viewed by 328
Abstract
When wind turbines operate in high-latitude offshore regions, ice accumulation on blade surfaces can severely compromise the structural safety of turbines and reduce their power generation efficiency. To mitigate the adverse effects of ice accumulation on wind turbines, it is essential to evaluate [...] Read more.
When wind turbines operate in high-latitude offshore regions, ice accumulation on blade surfaces can severely compromise the structural safety of turbines and reduce their power generation efficiency. To mitigate the adverse effects of ice accumulation on wind turbines, it is essential to evaluate the effectiveness of various anti-icing measures in offshore environments. Superhydrophobic materials, known for their environmental friendliness, high efficiency, and energy-saving advantages, have been widely used for anti-icing in onshore wind power generation. However, their direct application to offshore wind turbines is limited due to the presence of salt in offshore environments. In this study, laboratory-scale experiments were conducted to investigate the anti-icing performance of superhydrophobic surfaces under winter atmospheric conditions simulating China’s Bohai Sea. The experiments were divided into two phases. In the first phase, the ice accretion process and morphology of superhydrophobic surfaces were analyzed under different operating conditions. The second phase expanded on the first by further examining the icing process of droplets on these surfaces. The results indicate that both the salt content and wind speed significantly affect the anti-icing performance of superhydrophobic surfaces. Additionally, the salt content influences the critical droplet diameter required for detachment. This research provides insights into icing mechanisms and supports the development of anti-icing technologies for offshore wind turbine blades with superhydrophobic surfaces. Full article
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23 pages, 600 KiB  
Review
Economic and Technological Challenges in Zero-Emission Strategies for Energy Companies
by Piotr F. Borowski
Energies 2025, 18(4), 898; https://doi.org/10.3390/en18040898 - 13 Feb 2025
Viewed by 383
Abstract
The energy transition requires substantial financial investments and the adoption of innovative technological solutions. The aim of this paper is to analyze the economic and technological aspects of implementing zero-emission strategies as a key component of the transition toward a carbon-neutral economy. The [...] Read more.
The energy transition requires substantial financial investments and the adoption of innovative technological solutions. The aim of this paper is to analyze the economic and technological aspects of implementing zero-emission strategies as a key component of the transition toward a carbon-neutral economy. The study assesses the costs, benefits, and challenges of these strategies, with a particular focus on wind farms and nuclear power, including small modular reactors (SMRs). The paper presents an in-depth examination of key examples, including onshore and offshore wind farms, as well as nuclear energy from both large-scale and small modular reactors. It highlights their construction and operating costs, associated benefits, and challenges. The investment required to generate 1 MW of energy varies significantly depending on the technology: onshore wind farms range from $1,300,000 to $2,100,000, offshore wind farms from $3,000,000 to $5,500,000, traditional nuclear power plants from $3,000,000 to $5,000,000, while small modular reactors (SMRs) require between $5,000,000 and $10,000,000 per MW. The discussion underscores the critical role of wind farms in diversifying renewable energy sources while addressing the high capital requirements and technical complexities of nuclear power, including both traditional large-scale reactors and emerging SMRs. By evaluating these energy solutions, the article contributes to a broader understanding of the economic and technological challenges essential for advancing a sustainable energy future. Full article
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15 pages, 4401 KiB  
Article
Numerical Analysis of Jacked and Impact-Driven Pile Installation Procedures in Offshore Wind Turbine Foundations
by Ka Lok Chan, Susana Lopez-Querol and Pedro Martin-Moreta
Geotechnics 2025, 5(1), 11; https://doi.org/10.3390/geotechnics5010011 - 6 Feb 2025
Viewed by 607
Abstract
The increasing global demand for renewable energy has resulted in a high interest in wind power, with offshore wind farms offering better performance than onshore installations. Coastal nations are thus, actively developing offshore wind turbines, where monopiles are the predominant foundation type. Despite [...] Read more.
The increasing global demand for renewable energy has resulted in a high interest in wind power, with offshore wind farms offering better performance than onshore installations. Coastal nations are thus, actively developing offshore wind turbines, where monopiles are the predominant foundation type. Despite their widespread use, the effects of monopile installation methods on the overall foundation behaviour are not sufficiently yet understood. This study investigates how different pile installation procedures—jacked and impact-driven—affect the lateral capacity of monopile foundations under both monotonic and dynamic lateral loads, by comparing them with wished-in-place monopiles, the usual assumption in design, for which no soil disturbance due to installation is considered. Three finite element 3D models were employed to simulate these cases, i.e., wished-in-place monopile, jacked, and impact-driven pile, incorporating soil zoning in the latter cases to replicate the effects of the installation methods. Comparisons between all these models, when subject to lateral monotonic and cyclic loads, are presented and discussed in terms of displacements in the soil and horizontal normal stresses. Results reveal that these installation methods significantly influence soil reactions, impacting the lateral performance of monopiles under both monotonic and dynamic conditions. The impact-driven pile demonstrated the most significant influence on the monopile behaviour. These findings highlight the need for engineers to account for installation effects in the design of monopile foundations to enhance performance and reliability, as well as the optimisation of their design. Full article
(This article belongs to the Special Issue Recent Advances in Soil–Structure Interaction)
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14 pages, 864 KiB  
Article
Power Coefficient for Large Wind Turbines Considering Wind Gradient Along Height
by Saroj Biswas and Jim Shih-Jiun Chen
Energies 2025, 18(3), 740; https://doi.org/10.3390/en18030740 - 6 Feb 2025
Viewed by 542
Abstract
The Betz constant is the well-known aerodynamic limit of the maximum power which can be extracted from wind using wind turbine technologies, under the assumption that the wind speed is uniform across a blade disk. However, this condition may not hold for large [...] Read more.
The Betz constant is the well-known aerodynamic limit of the maximum power which can be extracted from wind using wind turbine technologies, under the assumption that the wind speed is uniform across a blade disk. However, this condition may not hold for large wind turbines, since the wind speed may not be constant along their height; rather, it may vary with the location due to surface friction from tall buildings and trees, the topography of the Earth’s surface, and radiative heating and cooling in a 24 h cycle. This paper derives a new power coefficient for large wind turbines based on the power law exponent model of the wind gradient and height. The proposed power coefficient is a function of the size of the rotor disk and the Hellmann exponent, which describes the wind gradient based on wind stability at various locations, and it approaches the same value as the Betz limit for wind turbines with small rotor disks. It is shown that for large offshore wind turbines, the power coefficient was about 1.27% smaller than that predicted by the Betz limit, whereas for onshore turbines in human-inhabited areas with stable air, the power coefficient was about 8.7% larger. Our results are significant in two ways. First, we achieve generalization of the well-known Betz limit through elimination of the assumption of a constant wind speed across the blade disk, which does not hold for large wind turbines. Second, since the power coefficient depends on the location and air stability, this study offers guidelines for wind power companies regarding site selection for the installation of new wind turbines, potentially achieving greater energy efficiency than that predicted by the Betz limit. Full article
(This article belongs to the Special Issue Recent Developments of Wind Energy)
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