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

Gustavo Richmond-Navarro; Williams R. Calderon-Munoz; Richard LeBoeuf; Pablo Castillo

doi:10.1109/TSTE.2016.2604082

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

Gustavo Richmond-Navarro
, Williams R. Calderon-Munoz
, Richard LeBoeuf
, Pablo Castillo

Escuela de Ingeniería Electromecánica

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	425-430
Number of pages	6
Journal	IEEE Transactions on Sustainable Energy
Volume	8
Issue number	1
DOIs	https://doi.org/10.1109/TSTE.2016.2604082
State	Published - Jan 2017

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Keywords

Blade element momentum theory
Magnus wind turbine
symbolic regression

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10.1109/TSTE.2016.2604082

Cite this

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

abstract = "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.",

keywords = "Blade element momentum theory, Magnus wind turbine, symbolic regression",

author = "Gustavo Richmond-Navarro and Calderon-Munoz, \{Williams R.\} and Richard LeBoeuf and Pablo Castillo",

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AU - Richmond-Navarro, Gustavo

AU - Calderon-Munoz, Williams R.

AU - LeBoeuf, Richard

AU - Castillo, Pablo

PY - 2017/1

Y1 - 2017/1

N2 - 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.

AB - 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.

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KW - Magnus wind turbine

KW - symbolic regression

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JF - IEEE Transactions on Sustainable Energy

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

Abstract

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Keywords

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