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A correction model for the effect of spanwise flow on the viscous force contribution in BEM and Lifting Line methods BEM 和提升线方法中跨向流对粘性力贡献影响的修正模型
Pub Date : 2024-06-01 DOI: 10.1088/1742-6596/2767/2/022068
M. Gaunaa, N. N. Sørensen, Ang Li
Design optimization and aeroelastic load evaluation for wind turbines are still infeasible for CFD due to computational cost. These tasks are carried out using 3D engineering aerodynamic methods, where the local aerodynamic loads are obtained from tabulated 2D aerodynamic polars, which makes the models fast. With recent developments such as highly flexible blades, coned/prebent/swept blades, the relative inflow direction to the “inner” 2D airfoil section systems can have a significant component in the spanwise direction. The Crossflow Principle (CP) is used to treat the effects of this in a physically consistent manner. Cases dominated by pressure forces are described well with the CP method, but it is shown in the paper that CP fails to describe the part of the forces stemming from the friction forces correctly. It is shown in the paper that the power loss due to friction forces will be underestimated with the crossflow principle for rotors with significantly swept blades or other designs with a significant amount of local crossflow on the blades. The present work presents a simple model to correct the baseline crossflow principle method to take into account also the friction force part in a consistent manner. The model is validated with 3D CFD results on a 2D airfoil section. It is shown that the new model successfully corrects for the addition of the viscous forces due to spanwise flow component. The paper includes examples of the effect of using the model on rotor designs with different amounts of blade sweep simulated using a blade element momentum (BEM) and blade element vortex cylinder (BEVC) methods.
由于计算成本的原因,风力涡轮机的设计优化和气动弹性载荷评估仍无法采用 CFD 方法。这些任务都是通过三维工程空气动力学方法来完成的,其中局部空气动力载荷是通过表格化的二维空气动力极点来获得的,这使得模型的速度很快。随着高柔性叶片、锥形/前倾/后掠叶片等最新技术的发展,"内部 "二维翼面截面系统的相对流入方向可能在翼展方向上有很大的分量。横流原理(CP)用于以物理一致的方式处理这种影响。CP 方法很好地描述了由压力力主导的情况,但文中显示,CP 无法正确描述摩擦力产生的那部分力。文中还表明,对于叶片有明显横扫的转子或叶片上有大量局部横流的其他设计,横流原理会低估摩擦力造成的功率损失。本研究提出了一个简单的模型,用于修正基线横流原理方法,以一致的方式将摩擦力部分也考虑在内。该模型通过 2D 机翼截面的 3D CFD 结果进行了验证。结果表明,新模型成功地修正了因跨向流动分量而增加的粘性力。文中举例说明了该模型在使用叶片元素动量(BEM)和叶片元素涡缸(BEVC)方法模拟不同叶片扫掠量的转子设计中的应用效果。
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引用次数: 0
Aerodynamic conditions measured at a rotor blade of large wind turbine prototype 在大型风力涡轮机原型叶片上测量的空气动力条件
Pub Date : 2024-06-01 DOI: 10.1088/1742-6596/2767/2/022024
A. Wegner, S. Mechler, L. Höning, N. Denecke, B. Stoevesandt
In this paper we present high resolution pressure distributions measured on the surface of a rotor blade of an 8 MW offshore prototype. We investigate two time intervals of approximately 10 minute duration acquired in April 2022. During the first time interval the turbine is operated at rated power, during the second time interval the turbine is operated below rated power. We see a clear increase and decrease of pressure values on the pressure side and suction side of the rotor blade, respectively. Also, 1P frequency oscillations are found in all sensors except during idling state. We find a decreasing signal to noise ratio in these oscillations with increasing distance from leading edge towards trailing edge, indicating higher turbulence in the air flow. Additionally, pressure changes during pitching movements can be observed. These data present the first data set of pressure distribution measured over a longer time period on a state-of-the-art sized offshore wind turbine prototype and therefore, provide important input for model validation and further understanding of the aerodynamic conditions at a rotor blade.
本文介绍了在 8 兆瓦海上原型机转子叶片表面测量到的高分辨率压力分布。我们研究了 2022 年 4 月采集的两个持续时间约为 10 分钟的时间间隔。在第一个时间间隔内,涡轮机以额定功率运行;在第二个时间间隔内,涡轮机以低于额定功率的功率运行。我们看到转子叶片压力侧和吸气侧的压力值分别出现了明显的上升和下降。此外,除空转状态外,所有传感器都出现了 1P 频率振荡。我们发现这些振荡的信噪比随着前缘到后缘距离的增加而降低,这表明气流中的湍流程度更高。此外,还可以观察到俯仰运动时的压力变化。这些数据是第一套在最先进尺寸的海上风力涡轮机原型上进行的较长时间压力分布测量数据,因此为模型验证和进一步了解转子叶片的空气动力条件提供了重要信息。
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引用次数: 0
Challenges in simulating the wind over a coastal complex-shaped site: Madeira Island 模拟沿海复杂形状场地风力的挑战:马德拉岛
Pub Date : 2024-06-01 DOI: 10.1088/1742-6596/2767/5/052014
I. L. Coimbra, J. M. L. M. Palma
The wind behaviour on Madeira Island is shaped by the intricate coastline and mountainous terrain, features that are not easily represented in numerical models. Thus, this study addressed some challenges and possible solutions in setting up a meso-to-microscale model chain, with the WRF (1-km mesh) and VENTOS®/M (50-m mesh in the high-resolution area) models, in Madeira’s coastal and complex terrain. Wind measurements from four meteorological towers (located in the eastern peninsula–T0978/E–and on the SE–T0521/SE, S–T0522/S, and N–T0960/N–coasts) served as references to assess the simulations. First, due to WRF’s landmask position, land areas were misclassified as sea (and vice versa). This issue was addressed by altering the domain position to better allocate the landmask on the east peninsula, resulting in improved near-surface wind simulations at T0978/E (reducing RMSE and bias by 19% and 67%). Secondly, WRF’s default interpolation of the SST variable did not account for missing and masked data. As such, a different SST interpolation method was employed, leading to improved near-surface wind simulations at T0960/N (reducing RMSE and bias by 11% and 84%) and T0522/S (10% and 16% reduction) masts, but higher errors at T0978/E (7% and 45% increase). The negative influence arose from an incorrect speedup with the new interpolation method. Thirdly, the impact of SST_SKIN, which influences the temperature distribution at the skin level, was evaluated in WRF. Activating SST_SKIN led to a slight improvement in the near-surface wind simulation only at T0521/SE (2% and 6% RMSE and bias reduction), probably due to the dominant smaller-scale nature of the atmospheric circulation in the area, which contrasts with the circulation at the other towers, dominated by the trade winds (N and E masts) and the Island’s wake (S mast). When using the WRF outputs as boundary conditions, these effects on the microscale runs were less pronounced than on the mesoscale results. Nonetheless, the RMSE and bias of the near-surface wind simulation in VENTOS®/M were reduced by 6% and 9% at T0978/E.
马德拉岛的风向受错综复杂的海岸线和多山地形的影响,这些特征在数值模型中不易体现。因此,本研究针对马德拉岛的沿海和复杂地形,利用 WRF(1 千米网格)和 VENTOS®/M(高分辨率区域 50 米网格)模型建立了中尺度到微尺度模型链,并提出了一些挑战和可能的解决方案。四座气象塔(分别位于半岛东部-T0978/E 以及东南部-T0521/SE、南部-T0522/S 和北部-T0960/N 海岸)的风力测量数据可作为评估模拟结果的参考。首先,由于 WRF 的地表位置,陆地区域被误划为海洋(反之亦然)。为了解决这个问题,我们改变了域的位置,以便更好地分配东半岛的陆块,从而改进了 T0978/E 处的近地表风模拟(均方根误差和偏差分别减少了 19% 和 67%)。其次,WRF 默认的海温变量插值没有考虑缺失和屏蔽数据。因此,采用了不同的 SST 插值方法,从而改进了 T0960/N 和 T0522/S桅杆的近地表风模拟(均方根误差和偏差分别减少了 11%和 84%),但 T0978/E桅 杆的误差较大(分别增加了 7%和 45%)。这种负面影响是由于新的内插法的加速不正确造成的。第三,在 WRF 中评估了 SST_SKIN 的影响,SST_SKIN 会影响表层的温度分布。启动 SST_SKIN 后,仅 T0521/SE 塔的近地面风模拟略有改善(均方根误差和偏差分别减少了 2% 和 6%),这可能是由于该区域的大气环流以较小尺度为主,与其他塔的环流以信风(N 和 E 塔)和海岛尾流(S 塔)为主形成鲜明对比。当使用 WRF 输出作为边界条件时,微尺度运行受到的这些影响没有中尺度结果那么明显。尽管如此,VENTOS®/M近地面风模拟的均方根误差和偏差在T0978/E处分别降低了6%和9%。
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引用次数: 0
Control Co-Design Studies for a 22 MW Semisubmersible Floating Wind Turbine Platform 22 兆瓦半潜式浮动风力涡轮机平台的控制协同设计研究
Pub Date : 2024-06-01 DOI: 10.1088/1742-6596/2767/8/082020
D. Zalkind, P. Bortolotti
We present a control co-design software framework that can be used to optimize floating wind turbines and their controllers. Because this framework has many options for design variables, constraints, and merit figures, along with modeling fidelity levels, we seek to demonstrate best practices for using the tool while designing a floating platform for the new 22 MW offshore reference wind turbine developed within the International Energy Agency Wind Technology Commercialization Programme 55 on Reference Wind Turbines and Farms. During these studies, we evaluate the use of different simulation fidelity levels, the effect of using different load cases for controller tuning, and the difference between sequential and simultaneous control co-design solutions. Based on these efforts, we suggest using an algorithm that performs an initial search of the design space before optimization. We find that solving smaller optimization problems, in a sequential manner, leads to more reliable outcomes in fewer iterations than larger, simultaneous control co-design solutions. However a simultaneous CCD solution produces a platform with a 2% lower mass than the sequential CCD outcome.
我们介绍了一种控制协同设计软件框架,可用于优化浮动风力涡轮机及其控制器。由于该框架在设计变量、约束条件和优点数字以及建模保真度方面有许多选项,因此我们在为国际能源机构风能技术商业化计划 55(参考风力涡轮机和风电场)中开发的新型 22 兆瓦海上参考风力涡轮机设计浮动平台时,试图展示使用该工具的最佳实践。在这些研究中,我们评估了不同模拟保真度的使用情况、使用不同负载情况进行控制器调整的效果,以及顺序控制和同步控制协同设计解决方案之间的差异。基于这些努力,我们建议使用一种算法,在优化之前对设计空间进行初始搜索。我们发现,与较大的同步控制协同设计方案相比,以顺序方式解决较小的优化问题,能以较少的迭代次数获得更可靠的结果。然而,同步控制协同设计方案产生的平台质量比顺序控制协同设计方案的结果低 2%。
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引用次数: 0
Flow around a pair of 2D cylinders using a hybrid Eulerian-Lagrangian solver 使用欧拉-拉格朗日混合求解器计算一对二维圆柱体周围的流动
Pub Date : 2024-06-01 DOI: 10.1088/1742-6596/2767/5/052006
R. Pasolari, C. Ferreira, A. van Zuijlen
The field of external aerodynamics encompasses various engineering disciplines with a significant impact on wind energy technology. Aerodynamic investigations provide insights not only into the characteristics of individual blades or standalone wind turbines but also into entire wind farms. As advancements in wind turbine design continue, understanding the interactions between turbines in close proximity becomes crucial, presenting a multi-body problem. Researchers require efficient and accurate tools to comprehensively study such dynamics. This paper presents a hybrid Eulerian-Lagrangian solver designed to leverage the strengths of Eulerian solvers in resolving boundary layers and Lagrangian solvers in convecting wakes downstream without introducing significant numerical diffusion. The solver adeptly handles multi-body simulations, allowing the construction of independent Eulerian meshes that communicate seamlessly through Lagrangian particles. In this way, the computational study of multibody problems does not require very large and dense meshes. Validation in single-body cases has already been conducted, with this paper demonstrating the solver’s application to a pair of cylinders in different configurations. A comparative performance analysis is carried out against pure Eulerian solvers. The results highlight that the hybrid solver efficiently reproduces the accuracy of the Eulerian solver, demonstrating its effectiveness in handling complex aerodynamic simulations.
外部空气动力学领域包括对风能技术有重大影响的各种工程学科。空气动力学研究不仅能深入了解单个叶片或独立风力涡轮机的特性,还能了解整个风力发电场的特性。随着风力涡轮机设计的不断进步,了解近距离风力涡轮机之间的相互作用变得至关重要,这就提出了一个多体问题。研究人员需要高效、精确的工具来全面研究这种动力学。本文介绍了一种欧拉-拉格朗日混合求解器,旨在利用欧拉求解器在解决边界层方面的优势和拉格朗日求解器在下游对流湍流方面的优势,同时不引入明显的数值扩散。该求解器能够熟练地处理多体模拟,允许构建独立的欧拉网格,通过拉格朗日粒子进行无缝通信。这样,多体问题的计算研究就不需要非常大和密集的网格。我们已经在单体案例中进行了验证,本文展示了该求解器在不同配置的一对圆柱体中的应用。与纯欧拉求解器进行了性能比较分析。结果表明,混合求解器有效地再现了欧拉求解器的精度,证明了它在处理复杂空气动力学模拟方面的有效性。
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引用次数: 0
Improved performance of k − ω SST turbulence model in predicting airfoil characteristics for a wide range of airfoil thicknesses k - ω SST 湍流模型在预测各种机翼厚度的机翼特性方面的性能改进
Pub Date : 2024-06-01 DOI: 10.1088/1742-6596/2767/2/022064
A. Adeel-Ur-Rehman, J. Theron, H. Kassem, B. Stoevesandt, J. Peinke
A variety of airfoils designed for wind turbine rotor blade applications were simulated with k − ω shear stress transport (SST) turbulence model in its standard form, the k − ω SST turbulence model with a modified a 1 constant (referred to as the a 1 method), the Spalart-Allmaras turbulence model, and the panel method XFoil. To assess their performance, the results of airfoil lift, drag, and coefficient of pressure were compared against available wind tunnel data, where available. The standard k −ω SST turbulence model is found to over-predict Reynolds shear stresses, delay the flow separation, and under-predict the separated-flow region on the airfoil’s suction side. Airfoil thicknesses between 11% and 36% of the chord length were studied. Using a modified a 1 constant, some airfoils exhibited up to a 20% improvement in the prediction of lift and drag coefficients within the post-stall range of angle of attack (AoA). It is important to note that the a 1 method’s applicability and effectiveness is specifically tested for airfoils, and its performance is highly dependent on the airfoil geometry.
采用标准形式的 k - ω 剪切应力传输(SST)湍流模型、修正了 a 1 常量的 k - ω SST 湍流模型(称为 a 1 方法)、Spalart-Allmaras 湍流模型和面板方法 XFoil 对设计用于风力涡轮机转子叶片的各种机翼进行了模拟。为了评估它们的性能,将机翼升力、阻力和压力系数的结果与现有的风洞数据(如有)进行了比较。结果发现,标准 k -ω SST 湍流模型对雷诺切应力的预测过高,延迟了气流分离,对机翼吸入侧的分离气流区域的预测不足。研究的机翼厚度介于弦长的 11% 和 36% 之间。使用修改后的 a 1 常量,一些机翼在失速后攻角(AoA)范围内的升力和阻力系数预测结果最多可提高 20%。值得注意的是,a 1 方法的适用性和有效性是专门针对机翼进行测试的,其性能在很大程度上取决于机翼的几何形状。
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引用次数: 0
Combined model electricity load forecasting based on NeuralProphet and Bi-LSTM-SA 基于 NeuralProphet 和 Bi-LSTM-SA 的组合模型电力负荷预测
Pub Date : 2024-06-01 DOI: 10.1088/1742-6596/2781/1/012025
Dongpeng Zhao, Shouzhi Xu, Haowen Sun, Bitao Li, Mengying Jiang, Shiyu Tan
This study proposes an innovative method for forecasting electricity load that combines NeuralProphet’s time series analysis capability with Bi-LSTM-SA’s self-attention mechanism. The method improves prediction accuracy, reliability, and interpretability by analyzing trends, cycles, and holiday impacts, as well as considering climatic factors as key external variables. A peak interval weighted mean square error indicator is introduced to optimize the weights in the model combination strategy. This improves the prediction accuracy during peak times, making this method superior to any single sub-model in terms of prediction performance.
本研究提出了一种创新的电力负荷预测方法,该方法结合了 NeuralProphet 的时间序列分析能力和 Bi-LSTM-SA 的自我关注机制。该方法通过分析趋势、周期和节假日影响,以及将气候因素视为关键外部变量,提高了预测的准确性、可靠性和可解释性。该方法引入了峰值区间加权均方误差指标,以优化模型组合策略中的权重。这提高了高峰时段的预测准确性,使该方法在预测性能方面优于任何单一的子模型。
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引用次数: 0
A virtual wind tunnel for deforming airborne wind energy kites 用于变形机载风能风筝的虚拟风洞
Pub Date : 2024-06-01 DOI: 10.1088/1742-6596/2767/7/072001
Jelle Agatho Wilhelm Poland, R. Schmehl
This paper presents a quasi-steady simulation framework for soft-wing kites with suspended control unit employed for airborne wind energy. The kites are subject to actuation-induced and aero-elastic deformation and are described by a coupled aero-structural model in a virtual wind tunnel setup. Key contributions of the present work are a kinetic dynamic relaxation algorithm and a procedure to define a physically consistent initial state. For symmetric actuation, the kite is pitch-statically stable and the simulations converge to a static equilibrium state. Most soft-wing kites are not roll-statically stable and do not find a static equilibrium without a symmetry assumption, as this introduces non-zero roll- and yaw moments. Another important contribution is the introduction of a steady circular flight state that enables convergence without a symmetry assumption. By neglecting gravity, the kite can fly in a perfectly circular turning motion around the wind vector with a constant radius and constant rotational velocity without requiring active control input. In an idealized wind-aligned tether case, the difference in aerodynamic- and centrifugal force application centers makes it impossible to achieve both a force- and moment equilibrium. This was resolved by including an elevation angle that introduces a radial tether force component, which introduces a centrifugal and aerodynamic force difference. Therefore, an operating point with roll equilibrium can be found where the kite finds a static equilibrium, enabling the first quasi-steady simulations of turning flights. Simulated quantifications of soft-wing kite turning behavior, i.e., turning laws, contribute to better kite- and control design.
本文介绍了一种用于机载风能的带悬浮控制装置的软翼风筝的准稳态模拟框架。在虚拟风洞设置中,风筝受到致动诱导和气动弹性变形的影响,并由耦合气动结构模型进行描述。本研究的主要贡献是动力学动态松弛算法和定义物理一致初始状态的程序。对于对称驱动,风筝是俯仰静态稳定的,模拟收敛到静态平衡状态。大多数软翼风筝都不具有滚动稳定性,并且在没有对称性假设的情况下找不到静态平衡,因为这会带来非零的滚动和偏航力矩。另一个重要贡献是引入了稳定的圆周飞行状态,无需对称性假设即可实现收敛。由于忽略了重力,风筝可以在不需要主动控制输入的情况下,以恒定的半径和恒定的旋转速度绕风矢量做完美的圆周旋转运动。在理想化的风向对齐系绳情况下,空气动力和离心力作用中心的不同使得力和力矩不可能达到平衡。解决这一问题的方法是加入一个仰角,引入一个径向系绳力分量,从而引入离心力和空气动力差。因此,可以找到一个具有滚动平衡的操作点,风筝在此找到静态平衡,从而首次实现了转弯飞行的准稳定模拟。通过模拟量化软翼风筝的转弯行为,即转弯规律,有助于更好地进行风筝和控制设计。
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引用次数: 0
Rotor Performance and Wake Interaction of Controlled Dual Surging FOWT Rotors in Tandem 串联受控双涌流 FOWT 转子的转子性能和风浪相互作用
Pub Date : 2024-06-01 DOI: 10.1088/1742-6596/2767/9/092041
YuanTso Li, Wei Yu, Hamid Sarlak
Using Large Eddy Simulation (LES) with Actuator Line Model (ALM), this work investigates the system of two surging wind turbine rotors operating under realistic turbulent inflow conditions (TI = 5.3%). The two rotors are placed in tandem with a spacing of 5D and the surging motions are harmonic. A widely used torque controlling strategy, MPPT (Maximum Power Point Tracking), is implemented to ensure a maximium power extraction under all conditions. The rotor performances as well as the field data are surveyed to examine the effectiveness and impacts of the controller. It is found that the power performances of the surging rotors are benefited by the controller with a small margin (∼ 1%) when the surging motions are moderate. The results also show that the controller reacts much slower than the considered surging frequency, making the power performances of the rotors worse than the quasi-steady predictions (targeted values) and complicating the system dynamics. In general, the implementation of the controller has minor impacts on the wake characteristics; however, the strengths of Surging Induced Periodic Coherent Structures (SIPCS) are found to be enhanced.
本研究利用大涡流模拟(LES)和推杆线模型(ALM),研究了在实际湍流流入条件(TI = 5.3%)下运行的两个风力涡轮机转子系统。两个转子串联放置,间距为 5D,激增运动为谐波运动。为了确保在所有条件下都能获得最大功率,采用了一种广泛使用的转矩控制策略--MPPT(最大功率点跟踪)。对转子性能和现场数据进行了调查,以检验控制器的有效性和影响。结果发现,当涌流运动适中时,控制器能以很小的幅度(∼ 1%)提高涌流转子的功率性能。结果还显示,控制器的反应速度比考虑的浪涌频率要慢得多,这使得转子的功率性能比准稳定预测值(目标值)要差,并使系统动力学变得复杂。总体而言,控制器的实施对尾流特性的影响较小;然而,激波诱导周期相干结构(SIPCS)的强度却得到了增强。
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引用次数: 0
Accuracy assessment of Beddoes-Leishman and IAG dynamic stall models for wind turbine applications 风力涡轮机应用中 Beddoes-Leishman 和 IAG 动态失速模型的精度评估
Pub Date : 2024-06-01 DOI: 10.1088/1742-6596/2767/5/052053
O. S. Mohamed, P. F. Melani, G. Bangga, Navid Aryan, Luca Greco, A. Bianchini
The study presents a systematic comparison between two of the most-credited dynamic stall models for wind turbine applications: the original Beddoes-Leishman (BL) model and the newly-developed IAG. The scope of such comparison, supported by experimental data, is to shed new light on the actual suitability of current dynamic stall models for their integration into modern wind turbine simulation codes, and on the best practices to calibrate them. Two different strategies are followed for the calibration of the BL model: 1) standard one, compliant with common practices found in the literature; 2) a physics-oriented one, focusing on the constants defining the dynamic stall onset as well as on the parameters governing the duration of the vortex shedding process. The IAG model, initially developed based on the first-order BL formulation and recently improved by reducing the number of constants and removing compressibility effects, is applied instead in its standard form only. The two models are compared across a range of oscillation mean angles, amplitudes, and reduced frequencies. Results demonstrate that the original BL model, although with a challenging calibration process, when properly tuned, can provide a very good description of aerodynamic unsteady loads. While showing consistent results, the IAG formulation appears to be more robust, as it employs fewer constants and extracts most of the needed information directly from the input polar data. The comparison between the calibrated BL and IAG models highlights critical modelling aspects, the computation of drag and determination of the stall onset above all, offering valuable insights for the future development of dynamic stall formulations.
本研究系统地比较了风力涡轮机应用中两个最受认可的动态失速模型:最初的贝多斯-莱西曼(Beddoes-Leishman,BL)模型和新开发的 IAG。在实验数据的支持下,这种比较的目的是揭示当前动态失速模型与现代风力涡轮机仿真代码整合的实际适用性,以及校准这些模型的最佳实践。在校准 BL 模型时采用了两种不同的策略:1) 标准策略,符合文献中的常见做法;2) 物理导向策略,重点关注定义动态失速起始点的常数以及涡流脱落过程持续时间的参数。IAG 模型最初是基于一阶 BL 公式开发的,最近通过减少常数数量和消除可压缩性效应进行了改进,现在仅以其标准形式应用。在一系列振荡平均角、振幅和降低频率范围内对这两个模型进行了比较。结果表明,原始的 BL 模型虽然校准过程具有挑战性,但如果调整得当,可以很好地描述空气动力非稳态载荷。在显示一致结果的同时,IAG 公式似乎更加稳健,因为它采用了更少的常数,并直接从输入的极地数据中提取了大部分所需的信息。经过校准的 BL 模型和 IAG 模型之间的比较突出了建模的关键方面,尤其是阻力的计算和失速起始点的确定,为今后动态失速公式的开发提供了宝贵的启示。
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引用次数: 0
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Journal of Physics: Conference Series
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