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Stability analysis of the drive‐train of a wind turbine with quadratic torque control
Author(s) -
Wang Chen,
Weiss George
Publication year - 2008
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1410
Subject(s) - control theory (sociology) , turbine , torque , drivetrain , generator (circuit theory) , wind power , controller (irrigation) , wind speed , quadratic equation , direct torque control , stability (learning theory) , steam turbine , engineering , computer science , power (physics) , control (management) , mathematics , physics , mechanical engineering , induction motor , voltage , artificial intelligence , biology , geometry , quantum mechanics , machine learning , agronomy , thermodynamics , meteorology , electrical engineering
This paper investigates the stability of a variable‐speed wind turbine operating under low to medium wind speed. The turbine is controlled to capture as much wind energy as possible. We concentrate on the mechanical level of the turbine system, more precisely on the drive‐train with the standard quadratic generator torque controller. We consider both the one‐mass and the two‐mass models for the drive‐train, with the inputs being the deviation of the active torque from an arbitrary positive nominal value and the tracking error of the generator torque. We show that the turbine system is input‐to‐state stable for the one‐mass model and integral input‐to‐state stable for the two‐mass model. Copyright © 2008 John Wiley & Sons, Ltd.