Open AccessA simple nonlinear mathematical model for wind turbine power maximization with cost constraints
Author(s) -
Hosain Zaman,
Hamed Shakouri G.
Publication year - 2011
Publication title -
iraqi journal for electrical and electronic engineering/al-maǧallaẗ al-ʻirāqiyyaẗ al-handasaẗ al-kahrabāʼiyyaẗ wa-al-ilikttrūniyyaẗ
Language(s) - English
Resource type - Journals
eISSN - 2078-6069
pISSN - 1814-5892
DOI - 10.37917/ijeee.7.1.11
Subject(s) - turbine , control theory (sociology) , rotor (electric) , maximization , wind power , nonlinear system , power (physics) , tower , variable (mathematics) , engineering , computer science , mathematics , mathematical optimization , physics , mechanical engineering , structural engineering , electrical engineering , mathematical analysis , control (management) , quantum mechanics , artificial intelligence
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.