A Magnus Wind Turbine Power Model Based on Direct Solutions Using the Blade Element Momentum Theory and Symbolic Regression

A model of the power coefficient of a mid-scale Magnus wind turbine using numerical solutions of the Blade Element Momentum Theory and symbolic regression is presented. A direct method is proposed for solving the nonlinear system of equations which govern the phenomena under study. The influence of...

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Bibliographic Details
Published inIEEE transactions on sustainable energy Vol. 8; no. 1; pp. 425 - 430
Main Authors Richmond-Navarro, Gustavo, Calderon-Munoz, Williams R., LeBoeuf, Richard, Castillo, Pablo
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 01.01.2017
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Angular speed
Blade element momentum theory
Blades
Coefficients
Cylinders
Drag
Force
Low aspect ratio
Magnus wind turbine
Mathematical model
Maximum power
Momentum theory
Nonlinear systems
Numerical models
Regression models
symbolic regression
Turbines
Urban environments
Wind power
Wind speed
Wind turbines
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Summary:A model of the power coefficient of a mid-scale Magnus wind turbine using numerical solutions of the Blade Element Momentum Theory and symbolic regression is presented. A direct method is proposed for solving the nonlinear system of equations which govern the phenomena under study. The influence of the tip-speed ratio and the number, aspect ratio, and the angular speed of the cylinders on the turbine performance is obtained. Results show that the maximum power coefficient is on the order of 0.2, which is obtained with two low aspect ratio cylinders, a dimensionless cylinder speed ratio of 2, and a turbine tip-speed ratio between 2 and 3. The predicted power coefficient at low tip-speed ratio suggests that a Magnus turbine may be adequate in the urban environment.
ISSN:1949-3029
1949-3037
DOI:10.1109/TSTE.2016.2604082