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Wind Energy Science The interactive open-access journal of the European Academy of Wind Energy
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Discussion papers
https://doi.org/10.5194/wes-2019-44
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/wes-2019-44
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Submitted as: research articles 06 Aug 2019

Submitted as: research articles | 06 Aug 2019

Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Wind Energy Science (WES).

A Double Multiple Streamtube model for Vertical Axis Wind Turbines of arbitrary rotor loading

Anis A. Ayati1,2, Konstantinos Steiros1, Mark A. Miller1, Subrahmanyam Duvvuri1,3, and Marcus Hultmark1 Anis A. Ayati et al.
  • 1Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
  • 2Department of Mathematics, University of Oslo, Oslo, N-316, Norway
  • 3Department of Aerospace Engineering, Indian Institute of Science, Bengaluru, 560012, India

Abstract. We introduce an improved formulation of the Double Multiple Streamtube (DMST) model for the prediction of the flow quantities of Vertical Axis Wind Turbines (VAWT). The improvement of the new formulation lies in that it renders the DMST valid for any induction factor, i.e. for any combination of rotor solidity and tip speed ratio. This is done by replacing the Rankine-Froude momentum theory of the DMST, which is invalid for moderate and high induction factors, with a new momentum theory recently proposed, which provides sensible results for any induction factor. The predictions of the two DMST formulations are compared with VAWT power measurements obtained at Princeton's High Reynolds number Test Facility, over a range of tip speed ratios, rotor solidities and Reyonlds numbers, including those experienced by full scale turbines. The results show that the new DMST formulation demonstrates a better overall performance, compared to the conventional one, when the rotor loading is moderate or high.

Anis A. Ayati et al.
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Short summary
This work presents a novel model for the prediction of the generated power of Vertical Axis Wind Turbines (VAWTs). The improvement of the new method lies in that it is valid for arbitrary turbine rotor loading, while previous models of this family were valid only for low rotor loading. Comparison with measurements, performed in a compressed-air wind tunnel, showed that the model produces satisfactory predictions. This model will aid the design and optimization of VAWT wind-farms.
This work presents a novel model for the prediction of the generated power of Vertical Axis Wind...
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