Abstract

We consider a mathematical model of a horizontal-axis wind-energy unit in which Savonius rotors are used instead of classical blades. The Magnus force formed due to the autorotation of Savonius rotors creates a momentum supporting the rotation of the central turbine shaft. The main difference of this study from earlier investigations in this area is as follows: we take into account the variation of the blade width along the radius. In our model, the conical Savonius rotor is replaced by a pair of cylindrical rotors with different diameters, which provides the possibility to use the experimental force-momentum characteristics, taking into account the substantial variations of the velocity field along the blade’s radius. In the model, we consider the possibility to control the value of the external electric resistance in the local circuit of the unit generator. We describe the dependence of the mechanical power on the parameters of the model and construct a control strategy providing the possibility to maintain the power close to the maximum possible value under changes in the wind velocity.

中文翻译：

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带有圆锥形叶片的Savonius–Magnus型风力涡轮机：动力学和控制

摘要

我们考虑一个水平轴风能单元的数学模型，其中使用Savonius转子代替传统叶片。由于Savonius转子的自转而形成的马格努斯力产生了动量，从而支撑了中央涡轮轴的旋转。该研究与该领域早期研究的主要区别如下：我们考虑了叶片宽度沿半径的变化。在我们的模型中，圆锥形的Savonius转子被一对直径不同的圆柱转子所代替，考虑到沿叶片半径的速度场的实质变化，这提供了使用实验力-动量特性的可能性。在模型中 我们考虑了控制单位发电机本地电路中外部电阻值的可能性。我们描述了机械功率对模型参数的依赖性，并构建了一种控制策略，提供了在风速变化时将功率保持在接近最大可能值的可能性。