Evolving a Novel Blade Shape of a Savonius Wind Rotor Using an Optimization Technique Coupled with Numerical Simulations and Wind Tunnel Tests

Man Mohan, U. Saha
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Abstract

The global adoption of Savonius wind rotors as an eco-friendly means of small-scale power production is on the rise. However, their suboptimal performance remains a significant challenge due to the generation of higher unproductive torque. This paper aims to address this issue by obtaining an optimal blade profile considering the power coefficient (CP) as an output function using the optimization techniques. The objective function includes the overlap ratio, intermediate points on the curve, inlet velocity, and tip speed ratio (TSR) as the optimization geometric parameters. To achieve this, the simplex search method and the non-dominated sorting genetic algorithm II are opted to develop the blade profile. The blade profile is developed using a natural cubic spline curve with fixed end points and variable intermediate points along with other parameters. The computational analysis is done using ANSYS Fluent software with shear-stress transport k-ω turbulence model. The solver setup employs the finite volume method to simulate the transient 2D flow around the blade profile. A direct comparison is made between the optimized blade profile and the conventional semicircular one over a range of TSRs. The results clearly indicate the superior performance of the former exhibiting a higher CPmax by 23% compared to the conventional one at TSR = 0.8. Finally, experiments have been conducted in a wind tunnel to find the practical feasibility of the optimized blade profile generated through the simplex search method.
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利用优化技术,结合数值模拟和风洞试验,改进萨沃尼乌斯风力转子的新型叶片形状
萨沃尼风力转子作为一种环保的小型发电手段,在全球范围内的应用正在不断增加。然而,由于会产生较高的非生产转矩,它们的次优性能仍然是一个重大挑战。本文旨在利用优化技术,通过将功率系数(CP)作为输出函数来获得最佳叶片轮廓,从而解决这一问题。目标函数包括作为优化几何参数的重叠率、曲线上的中间点、入口速度和叶尖速度比(TSR)。为此,选择了单纯形搜索法和非支配排序遗传算法 II 来开发叶片轮廓。叶片轮廓采用自然立方样条曲线,端点固定,中间点可变,并配有其他参数。计算分析采用 ANSYS Fluent 软件和剪应力传输 k-ω 湍流模型。求解器设置采用有限体积法模拟叶片轮廓周围的瞬态二维流动。在一定的 TSR 范围内,对优化的叶片轮廓和传统的半圆形叶片轮廓进行了直接比较。结果清楚地表明,在 TSR = 0.8 时,前者的 CPmax 比传统的高出 23%。最后,在风洞中进行了实验,以确定通过单纯搜索法生成的优化叶片轮廓的实际可行性。
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