Wind turbines control system: nonlinear modeling, simulation, two and three time scale approximations, and data validation

  • Sameh A. Eisa
  • Kevin Wedeward
  • William Stone


In this paper, wind turbines dynamics are considered for nonlinear behavioral modeling and simulation. The modeling part is concerned about the wind turbines exposed to lower range of wind speeds. The nonlinear model considered in this paper is derived from the models published recently. The model then is analyzed through stability, eigenvalues, sensitivity and Simulink verification versus General Electric and NREL models. The paper then introduces analysis and simulations for the wind turbines dynamics approximated to fast–slow (two) time scales and fast–medium–slow (three) time scales. The multiple time scale simulation analysis and results we present are a continuation for our previous work (Eisa et al. in Int J Dyn Control 2017. that concluded rigorous mathematical analysis for wind turbines dynamics. The paper presents full numerical simulation results for the time scale work. Finally, the paper presents a practical illustration by comparing the modeling work versus other models and real measured data from a wind farm.


Wind turbines Mathematical modeling Wind turbines system Time scale in wind turbines Dynamic behavior Wind turbine control system DFIG Multiple time scale simulations Type-3 



The authors of the paper would like to thank: The North American Wind Research and Training Center for sharing data with Dr. Kevin Wedeward, Dean of Engineering at New Mexico Tech. This data has been used in this paper to generate Fig. 36, allowing us to have stronger results through validation of our model versus real time data. For more information about the data used, please see:


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaIrvineUSA
  2. 2.Department of Electrical EngineeringNew Mexico TechSocorroUSA
  3. 3.Department of MathematicsNew Mexico TechSocorroUSA

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