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首页> 外文期刊>Journal of computational science >Numerical simulation of tethered-wing power systems based on variational integration
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Numerical simulation of tethered-wing power systems based on variational integration

机译：基于变分积分的系绳 - 翼电力系统数值模拟

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This paper describes dynamic formulations for a multi-physics system consisting of an electrical generator and a finite element model of a variable-length cable attached at one end to a reeling mechanism and the other to a rigid body that represents a flying wing. Lie group methods are utilized to obtain singularity free dynamics of the wing. Two different methods are employed for the derivation and integration of the Euler?Lagrange equations. In the first method, the equations of motion are derived in continuous-time and integrated by a general-purpose implicit ODE solver. The second is the application of the discrete analogue of Lagrange?d?Alembert principle that yields a variational integrator. Extensive simulations are carried out to calculate the computational complexity of the discrete integrator and compare the results for CPU time and accuracy to those of the ODE solver. It is shown that the variational integrator has a significant advantage in terms of preservation of the orthogonality of the wing?s attitude matrix and reduction of the CPU time. The descriptions of the implemented aerodynamic models and controllers, along with the results for the simulation of a tethered-wing system operating in a turbulent wind environment are also presented.
机译：本文介绍了由发电机的多物理系统组成的多物理系统的动态配方，以及在一端连接到卷轴机构的可变长度电缆的有限元模型，另一个到代表飞翼的刚体。 LIE组方法用于获得机翼的奇点自由动态。使用两种不同的方法用于euler的推导和集成。拉格朗日方程。在第一种方法中，运动方程在连续时间中导出并通过通用隐式颂歌求解器集成。第二个是拉格朗日的离散模拟的应用，它会产生变分积分器的原理。进行广泛的仿真以计算离散集成器的计算复杂性，并将CPU时间和精度与颂歌求解器的结果进行比较。结果表明，变形积分器在维护机翼姿态矩阵的正交性和降低CPU时间方面具有显着优势。还提出了对实现的空气动力学模型和控制器的描述以及用于模拟在湍流风环境中操作的系绳翼系统的结果。

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