A simple nonlinear mathematical model for wind turbine power maximization with cost constraints

—In this paper we have proposed a nonlinear mathematical model for a wind turbine. The objective function maximizes the power of the wind turbine and the constraints are related to the rotor and tower costs. Rotor diameter and hub height are the variables which affect on power of the wind turb...

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Main Authors: Hosain Zaman, Hamed Shakouri G.
Format: Article
Language:English
Published: College of Engineering, University of Basrah 2011-06-01
Series:Iraqi Journal for Electrical and Electronic Engineering
Subjects:
Online Access:http://ijeee.org/volums/volume7/IJEEE7PDF/Paper711.pdf
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author Hosain Zaman
Hamed Shakouri G.
author_facet Hosain Zaman
Hamed Shakouri G.
author_sort Hosain Zaman
collection DOAJ
description —In this paper we have proposed a nonlinear mathematical model for a wind turbine. The objective function maximizes the power of the wind turbine and the constraints are related to the rotor and tower costs. Rotor diameter and hub height are the variables which affect on power of the wind turbine, so we have considered them as decision variable in our mathematical model. By increasing rotor diameter and hub height the power of the turbine will increase but the costs don’t let the infinitive increase in rotor diameter and height. The model applied for a typical case study and the results of solving the model for it have shown in the paper.
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spelling doaj.art-9b4badff8335410ba5301dc46a05d2162022-12-22T03:22:50ZengCollege of Engineering, University of BasrahIraqi Journal for Electrical and Electronic Engineering1814-58922078-60692011-06-01716063A simple nonlinear mathematical model for wind turbine power maximization with cost constraintsHosain Zaman0Hamed Shakouri G.1Department of Industrial engineering, College of Engineering, University of Tehran Tehran, IranDepartment of Industrial engineering, College of Engineering, University of Tehran Tehran, Iran—In this paper we have proposed a nonlinear mathematical model for a wind turbine. The objective function maximizes the power of the wind turbine and the constraints are related to the rotor and tower costs. Rotor diameter and hub height are the variables which affect on power of the wind turbine, so we have considered them as decision variable in our mathematical model. By increasing rotor diameter and hub height the power of the turbine will increase but the costs don’t let the infinitive increase in rotor diameter and height. The model applied for a typical case study and the results of solving the model for it have shown in the paper.http://ijeee.org/volums/volume7/IJEEE7PDF/Paper711.pdfwind turbinenon linear mathematical modelrotor diameterhub heightoptimization
spellingShingle Hosain Zaman
Hamed Shakouri G.
A simple nonlinear mathematical model for wind turbine power maximization with cost constraints
Iraqi Journal for Electrical and Electronic Engineering
wind turbine
non linear mathematical model
rotor diameter
hub height
optimization
title A simple nonlinear mathematical model for wind turbine power maximization with cost constraints
title_full A simple nonlinear mathematical model for wind turbine power maximization with cost constraints
title_fullStr A simple nonlinear mathematical model for wind turbine power maximization with cost constraints
title_full_unstemmed A simple nonlinear mathematical model for wind turbine power maximization with cost constraints
title_short A simple nonlinear mathematical model for wind turbine power maximization with cost constraints
title_sort simple nonlinear mathematical model for wind turbine power maximization with cost constraints
topic wind turbine
non linear mathematical model
rotor diameter
hub height
optimization
url http://ijeee.org/volums/volume7/IJEEE7PDF/Paper711.pdf
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AT hosainzaman simplenonlinearmathematicalmodelforwindturbinepowermaximizationwithcostconstraints
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