1. Introduction
With the accelerating global energy transition, wind energy, which is one of the most scalable and commercially viable forms of renewable energy, has attracted considerable international attention [
1]. Compared with onshore wind resources, offshore wind offers several distinct advantages, including higher wind speeds, lower turbulence intensity, a broader exploitable area, and less impact on terrestrial environments [
2]. As a result, offshore wind has become a key focus for the future development of wind power. In this context, wind turbines are rapidly evolving towards larger capacity and greater flexibility. The blade, as the primary aerodynamic component responsible for capturing wind energy, has now exceeded 100 m in length. For example, the International Energy Agency (IEA) defines a 15 MW-class wind turbine blade as approaching 120 m in length [
3]. Under strong wind conditions, however, composite flexible blades exhibit significant aeroelastic effects. These involve complex interactions among unsteady aerodynamic forces, structural inertial forces, and elastic restoring forces. Such coupling can lead to aeroelastic instabilities and, in extreme cases, structural failure [
4]. Therefore, understanding the aeroelastic coupling mechanisms in long, flexible composite blades is of both theoretical importance and practical engineering relevance in ensuring the safe operation of wind turbines.
In the numerical simulation of aerodynamic loads, three principal approaches are commonly adopted in both engineering practice and academic research: blade element momentum (BEM) theory [
5], the actuator line method (ALM) [
6], and computational fluid dynamics (CFD) methods [
7]. Owing to its high computational efficiency and simple parameterisation, BEM is widely used for preliminary assessments and the engineering design of wind turbine aerodynamic performance. However, as BEM relies on a two-dimensional blade element assumption and neglects three-dimensional flow effects and aerodynamic interactions between blades, it presents inherent limitations when dealing with unsteady phenomena such as large-scale flow separation, dynamic stall, and strong turbulence [
8]. Serving as a compromise between BEM and CFD, ALM represents the blade as a series of actuator points distributed along the span. It solves the Navier–Stokes equations to capture wake structures and dynamic inflow effects, without requiring complex geometric modelling. Nevertheless, ALM is unable to provide detailed surface pressure distributions or information on local stress concentrations on the blade, thereby limiting its use in high-fidelity aeroelastic analyses [
9]. In contrast, CFD approaches based on three-dimensional unsteady Reynolds-averaged Navier–Stokes (URANS) or large-eddy simulation (LES) can accurately resolve complex flow structures around the blade, including boundary layer development, flow separation, and tip vortex evolution [
10]. These methods offer high-fidelity flow-field data and aerodynamic load inputs, which are essential for advanced aeroelastic analyses.
For structural modelling, the most widely used models include one-dimensional beam models [
11], geometrically exact beam models [
12], and three-dimensional finite element models [
13]. A 1D beam model simplifies the blade into beam elements aligned along an elastic axis. While it is computationally efficient and suitable for whole-turbine dynamic analysis in early design stages, it falls short in accurately capturing stress concentrations at complex structural regions such as the main spar and shear webs, and in representing the anisotropic behaviour of composite materials [
11]. Geometrically exact beam models incorporate geometric nonlinearities arising from large deformations while maintaining computational efficiency. This makes them suitable for aeroelastic coupling analyses of moderate complexity [
12]. Three-dimensional finite element models, by offering detailed geometric representation, can preserve critical structural features of the blade, such as the main spar and internal webs [
13]. They also enable the precise simulation of composite layup orientations and stacking sequences, thereby providing comprehensive stress and strain data for evaluating structural strength and optimising layup design.
It is worth noting that, when the length of a wind turbine blade exceeds 100 m, its structural flexibility increases significantly, leading to large-scale deformations under aerodynamic loading. These deformations can markedly alter the blade’s original aerodynamic shape, which in turn affects the surrounding flow field. This interaction results in a strong bidirectional coupling between the aerodynamic forces and structural response. Previous studies have shown that, when nonlinear aeroelastic coupling is taken into account, the predicted aerodynamic performance of the blade may differ by more than 30% compared with numerical results based on the assumption of a rigid blade [
14]. This highlights the essential role of aeroelastic coupling analysis in the design of long, flexible blades.
Previous studies have explored the aeroelastic coupling of long, flexible blades to a certain extent. Arvind et al. [
15] applied machine learning techniques to support the aeroelastic analysis of a 15 MW-class blade. However, the natural frequencies predicted by their finite element model differed from those of the benchmark model published by the IEA, and their study considered only one-way coupling, whereby aerodynamic loads induce structural deformation without accounting for the feedback of structural motion on the flow field. Zhang et al. [
16] examined the influence of floating platform motion on the dynamic response of the blade under rated operating conditions. Nevertheless, their model also omitted the real-time feedback of structural deformation to the flow field. Chuang et al. [
17] introduced the flexible braking actuator line method (BALM) to investigate the aeroelastic behaviour of a 15 MW wind turbine blade under operational conditions and were able to capture preliminary interactions between the aerodynamic and structural fields. Despite this, their method exhibits inherent limitations, as the blade was simplified into a one-dimensional beam model, which restricts the accurate resolution of critical features such as stress concentrations and stress distributions in complex cross-sectional regions. Strictly speaking, their model remains a simplified coupling approach and does not realise high-fidelity, two-way CFD–FEM (finite element method) fluid–structure interaction (FSI) modelling.
From this discussion, it is evident that most existing research focuses on normal operating conditions and tends to rely on simplified beam models or one-way aero-structural coupling. However, when wind speed exceeds the turbine’s cut-out threshold, an emergency shutdown must be initiated, and the blades must be pitched to the feathered position to ensure operational safety. A systematic understanding remains elusive regarding the two-way coupled aeroelastic response of multi-megawatt blades under shutdown parked-up conditions with pitch system faults. Although the nominal pitching sequence from 0° to 90° typically completes within 10–15 s under normal operation, practical fault scenarios—including pitch motor failures, hydraulic system malfunctions, or grid loss events—can arrest the blade at arbitrary intermediate angles or leave it fully unfeathered at 0°. Such fault conditions expose the blade to extreme aerodynamic loading for extended durations, yet the literature lacks high-fidelity investigations of the resulting fluid–structure interactions.
Recognizing that intermediate pitch angles produce aerodynamic loads bounded by the fully feathered and fully unfeathered extremes, this study strategically focuses on these two bounding static conditions to establish worst-case load envelopes that govern structural design. The 90° feathered configuration represents the successful shutdown state with minimal loading, while the 0° no-pitch configuration constitutes the most severe fault scenario with thrust forces reaching 35 times the feathered magnitude. These static bounding cases correspond directly to the extreme load cases mandated by international design standards for wind turbine safety certification. Transient pitching dynamics, though relevant for control system optimization, are deliberately excluded from the present scope to prioritize computational resources toward high-fidelity resolution of the critical fault states; such transient analyses are reserved for future investigation incorporating validated pitch controller models and time-varying actuator dynamics.
The present study makes four distinctive contributions that advance beyond existing research on pitch-fault and extreme-wind scenarios. First, while recent investigations focus on operational pitch faults with rotating blades, where centrifugal stiffening and aerodynamic damping dominate the structural response, this work examines the parked-upwind static condition (0 rpm) that creates fundamentally different aeroelastic physics: directional wind loading perpendicular to the span generates pure bending without Coriolis effects, and the absence of both centrifugal stiffening and rotational aerodynamic damping results in larger deformations and persistent vibrations. The 35-fold thrust magnification observed [
18] in this static regime substantially exceeds the 5–8 times amplification typically reported for operating fault scenarios, establishing a critical worst-case design condition not previously analysed with high-fidelity two-way FSI. Second, this study implements and validates an explicit two-way CFD–FEM coupling strategy that achieves thirty percent computational efficiency gain over implicit schemes, enable practical parametric analysis of extreme load cases that would otherwise be prohibitively expensive. Third, the structural model incorporates six distinct composite materials with ply-resolved layup sequences across fifty spanwise segments, revealing stress migration patterns—specifically the shift of peak stress from twenty-seven percent to fifteen percent span under no-pitch conditions—that are inaccessible to simplified beam theories and provide actionable guidance for inspection protocol design. Fourth, the analysis discovers second edgewise mode dominance at 1.969 Hz as a novel high-frequency instability indicator under no-pitch conditions. This is a phenomenon distinct from operational vibrations and not captured by reduced-order models. These combined contributions establish the first comprehensive high-fidelity FSI framework for parked-upwind shutdown safety assessment of multi-megawatt composite blades. This pitching process is not instantaneous, and malfunctions in the pitch system can occur, leading to pitch failure.
Therefore, conducting an aeroelastic coupling study under this hazardous parked-up shutdown scenario using a two-way CFD–FEM FSI framework addresses an important gap in the literature. The primary objective of this work is to systematically investigate the extreme aeroelastic responses of a 15 MW composite wind turbine blade during an emergency shutdown with pitch system faults, building upon the four distinctive contributions outlined above. The high-fidelity finite element model developed in this study provides a robust structural mechanics foundation for accurately predicting the dynamic behaviour of composite blades, offering significant theoretical and practical value for advancing wind turbine safety design and improving operational control strategies. Notably, the choice of polymer fibre-reinforced composites as the primary blade material is driven by their exceptional specific strength and stiffness, superior fatigue resistance under cyclic loading, and design tailorability through anisotropic layup configurations. These properties make composites uniquely suited for ultra-long blades that must withstand extreme aerodynamic loads while minimizing self-weight. Furthermore, the IEA 15 MW reference blade was selected for this investigation because it represents the current industry frontier in offshore wind technology, with publicly available geometric and material data that enable rigorous model validation.
4. Results and Discussion
4.1. Flow-Field Analysis
Prior to presenting the detailed results, it is noted that the simulations reached a quasi-steady state within approximately 15 s for all cases, as indicated by the stabilization of moving averages of key aerodynamic and structural quantities. The results presented in the following sections are primarily based on the quasi-steady portion of the simulations (15–20 s), unless otherwise specified. Additionally, these velocity fields were obtained from the unsteady CFD simulations, using a time step of 5 × 10−3 s and the k-ω SST turbulence model. The primary input parameters governing these results are the freestream wind speed (25 m/s for X1, X3; 30 m/s for X2, X4) and the blade pitch angle (90° for X1, X2; 0° for X3, X4). The dependence of the velocity field on these parameters is mathematically governed by the incompressible Navier–Stokes equations (Equations (1) and (2)). The wind speed enters as the velocity inlet boundary condition, establishing the convective momentum, while the pitch angle determines the blade’s orientation relative to the flow, which dictates the surface pressure gradient and, consequently, the location and intensity of flow separation.
Figure 9 presents the cross-sectional velocity contours at the 25% span location at T = 1 s and T = 20 s. By comparing the wake structures under different simulation cases, it can be observed that, under the normal-pitch condition, the flow fields at the two time instants remain largely similar. The wake is weak, and no pronounced vortex shedding is evident, suggesting that the flow field rapidly stabilises and produces relatively steady aerodynamic loads. In contrast, under the no-pitch condition, the wake region downstream of the blade is noticeably broader, with a more pronounced velocity deficit characterised by an extensive low-velocity zone. As the flow develops further downstream, the velocity gradually recovers through mixing with the surrounding freestream. During this process, vortex shedding becomes clearly identifiable. These vortical structures continuously evolve through merging and expansion, giving rise to significant unsteadiness in the aerodynamic loads and, as a result, inducing more complex aerodynamic responses and structural deformations in the blade [
30].
Figure 10 compares the surface pressure distributions on the blade at T = 1 s and T = 20 s under different pitch conditions. Under the normal-pitch condition, a prominent region of positive pressure is observed near the leading edge. In contrast, under the no-pitch condition, the windward side of the blade is dominated by positive pressure, while the leeward side is primarily under negative pressure, with the negative pressure concentrated near the leading edge.
Table 9 summarises the key surface pressure metrics. At T = 1 s, the minimum negative pressure ranges from −982 Pa to −3699 Pa, the maximum positive pressure ranges from 384 Pa to 583 Pa, and the maximum pressure difference lies between 1399 Pa and 4283 Pa. At T = 20 s, these values change to −961 Pa to −3137 Pa, 381 Pa to 550 Pa, and 1342 Pa to 3687 Pa, respectively. The corresponding temporal variation amplitudes are calculated as 2.14–18.40% for minimum negative pressure, 0.78–6.73% for maximum positive pressure, and 4.07–16.82% for pressure difference. At the same wind speed, both the magnitude of the pressures and their temporal variations are significantly greater for the no-pitch blade compared with the normally pitched blade. As the wind speed increases, the temporal variation in surface pressure decreases for the no-pitch condition, while it shows a slight increase for the normally pitched case. This trend suggests that at higher wind speeds, the large pressure differences on the no-pitch blade are sustained over longer durations. Such prolonged high-pressure differentials imply that the aerodynamic loads remain elevated for extended periods, which may not only intensify dynamic structural responses but also affect aeroelastic stability and the long-term operational reliability of the blade.
4.2. Load Analysis
Figure 11a presents a comparison of the peak (MAX) and the quasi-steady mean (AVG) values of thrust for the four simulation cases (X1–X4). The peak thrust values are 14.29, 20.54, 341.64, and 472.59 KN, respectively, with corresponding mean values of 13.51, 18.70, 199.91, and 277.79 KN. Relative to the peak values, the mean thrust is reduced by 5 to 42%, with particularly pronounced reductions in cases X3 and X4 (approximately 41%). This indicates that pitching significantly reduces thrust fluctuation amplitude. Further comparison of the mean values shows that case X2 exhibits a 38.4% increase over X1, while X4 increases by 39.0% relative to X3. In addition, the mean thrust in X3 is approximately 14.8 times greater than that in X1, and in X4 it is about 14.9 times greater than in X2. These results suggest that, although the increase in wind speed leads to comparable rates of thrust growth in both pitched and unpitched conditions, the absolute thrust levels are substantially higher in the no-pitch scenarios. Comparing cases at the same wind speed (X1 vs. X3 and X2 vs. X4), it is evident that normal pitching reduces the mean thrust by a factor of approximately 15, highlighting a strong load-alleviation effect.
Figure 11b further examines the fluctuation characteristics of thrust. During the quasi-steady interval, the root mean square (RMS) values of thrust fluctuations are 234.07 N and 234.78 N for X1 and X2, respectively. The coefficient of variation (CV)—defined as the ratio of RMS fluctuating thrust to the mean thrust—decreases from 1.73% to 1.26%. In contrast, for X3 and X4, the RMS values are 1.09 KN and 2.05 KN, with corresponding CVs increasing from 0.55% to 0.74%. These findings confirm that thrust fluctuations are significantly more intense in the no-pitch cases compared with the pitched cases under the same wind speed. Moreover, with increasing wind speed, the RMS values rise in all cases. Notably, the upward trend in CV for the no-pitch scenarios suggests that the rate of increase in fluctuations exceeds that of the mean thrust. This implies a growing imbalance that could exacerbate structural fatigue and reduce the operational lifespan of the blade.
Figure 12a,c,e present statistical analyses of the peak and quasi-steady mean values of the flapwise, edgewise, and torsional moments under each case. In the flapwise direction, the peak moments for cases X1 to X4 are 1.63, 2.26, 17.92, and 25.16 MN·m, respectively, while the corresponding mean values are 1.45, 2.03, 10.70, and 15.36 MN·m. These represent reductions of 10 to 40% relative to the peak values. In the edgewise direction, the peak moments are 0.30, 0.43, 3.92, and 6.00 MN·m, with mean values of 0.28, 0.38, 2.42, and 3.50 MN·m, corresponding to decreases of 8.9 to 41.7%. In the torsional direction, the peak twist moments are 60.96, 88.51, 331.58, and 442.88 KN·m, and the mean values are 56.32, 83.72, 195.63, and 260.40 KN·m, representing reductions of 5 to 41%. These comparisons reveal that pitching can significantly reduce moment loads in all directions. At the same wind speed, the mean values under the no-pitch conditions (X3 and X4) are approximately 7 to 9 times greater than those under the pitched conditions (X1 and X2) in the flapwise and edgewise directions, and more than three times greater in the torsional direction. Among them, the edgewise moment shows the most substantial reduction due to pitching.
Figure 12b,d,f further investigate the fluctuation characteristics of the moments. As wind speed increases, the root mean square (RMS) values of the moment fluctuations increase across all directions. Notably, under the high-wind-speed–no-pitch condition (X4), the RMS of the edgewise moment increases sharply to 95.75 KN·m, exceeding the RMS of the flapwise moment (87.24 KN·m) under the same case. The corresponding coefficient of variation (CV) for the edgewise moment reaches 2.74%, which is significantly higher than those in the flapwise (0.59%) and torsional directions (2.02%). These findings suggest that, as wind speed increases, the no-pitch blade experiences a pronounced aeroelastic coupling effect in the edgewise direction, where the intensity of moment fluctuations grows substantially faster than the increase in the mean value.
4.3. Displacement Analysis
Figure 13a presents the peak (MAX) and quasi-steady mean (AVG) values of the total tip displacement under different cases (X1–X4). The MAX values are 0.67, 0.89, 3.75, and 5.52 m, with corresponding AVG values of 0.48, 0.69, 1.91, and 2.69 m, respectively. The reductions in AVG relative to MAX are 28.32%, 22.68%, 48.99%, and 51.27%, indicating that pitching can significantly suppress displacement amplitude. At the same wind speed, the tip displacement of the no-pitch blade is clearly larger than that of the pitched blade. Among all conditions, the maximum tip displacement is observed in Case X4, reaching 5.52 m.
Figure 13b provides the peak displacements of the blade tip in the flapwise and edgewise directions. The peak flapwise displacements for cases X1 to X4 are 0.67, 0.89, 3.69, and 5.42 m, respectively, whereas the corresponding peak edgewise displacements are 0.08, 0.09, 0.70, and 1.06 m. Limitations of amplitude realism: the vibration amplitudes presented above (e.g., the 5.52 m maximum tip displacement in Case X4) represent theoretical maximum values in the absence of structural material damping. While the identification of the second edgewise mode and the relative comparison between pitched and no-pitch conditions remain physically valid, the absolute magnitudes would be reduced in actual operating conditions where composite material damping provides additional energy dissipation. These results indicate that flapwise displacement is dominant. Further spectral analysis (
Figure 14) shows that vibration in the flapwise direction is consistently governed by the first flapwise natural frequency (H
f = 0.538 Hz). In the edgewise direction, the response is dominated by the first edgewise natural frequency (H
f = 0.641 Hz) under the pitched cases; however, under the no-pitch cases, high-frequency vibration becomes significant, with the second edgewise natural frequency (H
f = 1.969 Hz) becoming dominant. Moreover, as wind speed increases from 25 to 30 m·s
−1, the amplitude at this frequency rises sharply, suggesting that the high-frequency response is significantly intensified and may trigger aeroelastic instability, as shown in
Figure 15.
To further investigate this phenomenon, spectral analysis is performed on the edgewise moment in the second half of the time series. As shown in
Figure 15, under fluid–structure interaction (FSI), the dominant frequency of the edgewise moment for X1 and X2 corresponds to the first edgewise natural frequency (Hf = 0.641 Hz). In X3, both the first and second edgewise natural frequencies are present with comparable amplitudes, while in X4, the response is clearly dominated by the second edgewise natural frequency (H
f = 1.969 Hz). Since the vibration characteristics in the edgewise direction are jointly influenced by aerodynamic loading and structural feedback, the high-frequency vibration excited in this process can induce substantial load oscillations, which may adversely affect the fatigue life of the blade. Therefore, under no-pitch conditions, direct exposure to strong winds should be avoided as far as possible.
4.4. Stress Analysis
To assess the overall stress distribution and identify critical regions under multi-axial loading, the von Mises equivalent stress is employed.
Figure 16 presents the spatial contours of the maximum von Mises stress on the blade surface under the four simulation cases. The stress distribution is notably non-uniform: a distinct high-stress band is observed within the main spar region, where stress levels are significantly higher than those at the leading edge, trailing edge, and blade tip. From a spanwise perspective, the high-stress region is concentrated in the lower-to-mid span of the blade, corresponding to the transitional zone between the aerodynamic load centre and the root constraint. This region is subjected to pronounced combined compressive–shear loading and coincides with failure-prone zones frequently observed in practice. The stress within the main spar gradually decreases from the mid-span towards the tip, exhibiting typical cantilever-beam behaviour. The maximum surface stress obtained in this study is 146.72 MPa, located in the carbonUD main spar region. Although this value is well below the ultimate strength of the material and is therefore unlikely to induce static failure, the possibility of fatigue damage in this region under high wind conditions warrants attention.
Additionally, the location of the peak stress varies among the different cases. Under the pitched condition, the stress peak occurs on the pressure surface at approximately 27% span from the blade root. As wind speed increases, the peak stress rises from 12.67 to 17.02 MPa, corresponding to an increase of approximately 34.3%. Under the no-pitch condition, the stress peak is located on the suction surface, around 15% span from the root—that is, shifted further inboard along the span. Here, the peak stress increases from 101.67 to 146.72 MPa, representing a 44.3% rise. Furthermore, at a wind speed of 25 m·s−1, the peak stress of the no-pitch blade is approximately eight times higher than that of the pitched blade. At 30 m·s−1, this ratio increases to about 8.6, indicating that the stress-reduction effect of pitching becomes even more pronounced at higher wind speeds. These results demonstrate that the no-pitch blade exhibits greater sensitivity to aerodynamic loading, with the peak stress increasing more significantly as wind speed rises.
It should be noted that, while the CFD and FEM components have been independently validated, the fully coupled FSI framework itself has not been directly validated against benchmark aeroelastic data. This represents a limitation of the current study, as the coupled aeroelastic responses (such as blade tip displacement or root bending moment under FSI conditions) could not be compared with established reference solutions. Furthermore, the finite element model employed in this study assumes ideal, homogeneous composite layers with perfect manufacturing quality. In practice, large fibre-reinforced plastic structures inherently contain manufacturing defects such as micro-voids, porosity, and resin-rich areas, which act as stress concentrators and can significantly influence the actual fatigue life. While the present study identifies high-frequency vibrations and stress concentrations as potential risk factors for fatigue damage, no actual fatigue life calculations or damage evolution models were applied. These issues that have been brought to light are all important and need further study.