翼伞式风筝发电系统在湍流风场中的稳定性分析

彭盛飞, 牛小静

清华大学学报(自然科学版) ›› 2026, Vol. 66 ›› Issue (8) : 1564-1574.

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PDF(3986 KB)
清华大学学报(自然科学版) ›› 2026, Vol. 66 ›› Issue (8) : 1564-1574. DOI: 10.16511/j.cnki.qhdxxb.2026.28.016
水利水电工程

翼伞式风筝发电系统在湍流风场中的稳定性分析

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Stability analysis of a parafoil-based kite power generation system under turbulent wind fields

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摘要

高空风能因风速高、功率密度大而具有良好的开发潜力,翼伞式风筝发电系统作为重要的高空风能利用形式,其在复杂湍流风场中的运行稳定性仍面临挑战。针对现有研究多聚焦定常风场或单一湍流工况、对湍流强度与控制参数耦合影响关注不足的问题,该文围绕翼伞式往复循环风筝发电系统,建立了包含翼伞、系绳及大气风场的动力学仿真模型,并设计了双闭环自动控制方法。通过与文献试验结果对比,验证了模型与控制框架的合理性。在此基础上,引入三维湍流风场,系统分析了不同湍流强度及吸引点仰角条件下系统的运行稳定性。结果表明,在中低湍流强度条件下系统能够保持稳定往复循环运行,而在高湍流条件下稳定性显著受控制参数影响,合理提高吸引点仰角有助于延缓稳定性劣化。相关结果可为复杂风况下翼伞式风筝发电系统的控制参数选取与稳定运行提供参考。

Abstract

Objective: Airborne wind energy (AWE) has attracted increasing attention because it can access stronger and more consistent winds at higher altitudes, offering high power density with reduced material consumption. Among various AWE technologies, the parafoil-based kite power generation system is a promising option because of its lightweight structure, operational flexibility, and suitability for pumping-cycle electricity generation. However, its practical application is constrained by the difficulty of maintaining stable cyclic operation under realistic turbulent wind conditions. Existing studies have mainly focused on steady inflow conditions or limited turbulence scenarios, and the combined effects of turbulence intensity and control parameter settings on system stability remain insufficiently understood. Therefore, this study investigated the stability of a parafoil-based kite power generation system under turbulent wind fields and explored effective control parameter adjustment strategies to improve operational stability. Methods: A coupled numerical framework was established for a pumping-cycle parafoil-based kite power generation system, incorporating parafoil aerodynamics, tether dynamics, atmospheric modeling, and dual closed-loop proportional–integral–derivative (PID) control. Parafoil aerodynamics were described using a segmented aerodynamic analysis method, the tether was modeled by the lumped-mass method, and the atmospheric model accounted for variations in wind speed and air density with altitude. Three-dimensional turbulent wind fields generated by TurbSim were imposed as inflow conditions to represent realistic atmospheric disturbances. Different turbulence intensities and target-attractor elevation angles were examined to assess their coupled effects on system stability. For each operating condition, multiple independent turbulent wind fields were simulated, yielding a total simulation time of 20 000 s. Under noncrash conditions, more than 80 complete power-generation cycles were achieved, ensuring that the conclusions were supported by sufficient statistical samples. System stability was evaluated using two indicators: the average operating duration and the average crash probability per power-generation cycle. Results: For all target-attractor elevation-angle settings, the average operating duration decreased progressively with increasing turbulence intensity, whereas the average crash probability per power-generation cycle increased continuously, indicating that strong turbulence significantly weakens system stability. Moreover, when the turbulence intensity reached a certain range, both the indicators exhibited accelerated deterioration, suggesting threshold-like behavior. Statistical analysis revealed that the transition stage between the power-generation phase and the recovery phase was the most vulnerable part of the pumping cycle. During this stage, the parafoil was more sensitive to aerodynamic disturbances, and lateral and vertical wind fluctuations could drive local angle-of-attack excursions beyond the normal operating range, leading to rapid aerodynamic degradation, trajectory deviation, and ultimately a crash. When fluctuations in lateral and vertical wind speeds within a 1 s timescale exceeded approximately 2.5 m/s, the system faced a pronounced crash risk. At turbulence intensities of approximately 15%–18%, such fluctuations became considerably more frequent, and the crash probability increased sharply. Under the same turbulence intensity, a higher target-attractor elevation angle generally yielded a longer operating duration and a lower crash probability, and this stabilizing effect became more pronounced under high-turbulence conditions. Conclusions: The findings indicated that the stability degradation of the parafoil-based kite power generation system in turbulent wind fields is not caused by a single factor but results from the coupled interaction among parafoil aerodynamic characteristics, transient flight states, turbulent disturbances, and the limited compensation capability of a fixed-parameter PID controller. Under low to moderate turbulence, the system maintained stable pumping-cycle operation, whereas under strong turbulence, the stability deteriorated rapidly in a threshold-like manner. Appropriately increasing the target-attractor elevation angle can enlarge the flight-envelope safety margin and improve the system's tolerance to disturbance, delaying stability degradation and enhancing operational robustness. These findings offer practical guidance for control parameter selection and stable operation of parafoil-based kite power generation systems in complex wind environments.

关键词

高空风能 / 风筝发电 / 数值模拟 / PID控制稳定性分析

Key words

airborne wind energy / kite power generation / numerical simulation / PID control stability analysis

引用本文

导出引用
彭盛飞, 牛小静. 翼伞式风筝发电系统在湍流风场中的稳定性分析[J]. 清华大学学报(自然科学版). 2026, 66(8): 1564-1574 https://doi.org/10.16511/j.cnki.qhdxxb.2026.28.016
Shengfei PENG, Xiaojing NIU. Stability analysis of a parafoil-based kite power generation system under turbulent wind fields[J]. Journal of Tsinghua University(Science and Technology). 2026, 66(8): 1564-1574 https://doi.org/10.16511/j.cnki.qhdxxb.2026.28.016
中图分类号: TK81   

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基金

国家重点研发计划课题(2023YFB4203403)

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