<p>The control of variable-speed wind turbines poses challenges due to factors like the nonlinearity of Mather which introduces the Taylor linearization, a mathematical technique to approximate the behavior of the nonlinear system around a specific operating point by creating a linear model. The proposed control extends model predictive control (MPC) by incorporating Laguerre functions and includes constraints on the control. The proposed approach offers numerous benefits, such as faster convergence to the optimum speed, robust performance against external disturbances, ease of real-time implementation, and enhanced turbine performance and safety. This methodology was applied to the mechanical component of a wind turbine system. A comparative analysis was conducted against a sliding mode controller (SMC) and model predictive control (MPC), demonstrating the efficacy of the developed control and illustrated by numerical simulations using MATLAB toolbox.</p>

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Robust Laguerre model predictive control with constraints for wind turbine

  • Soukaina Bougdour,
  • Bouchra Sefriti,
  • Ayoub El Bakri,
  • Selma Sefriti,
  • Ismail Boumhidi

摘要

The control of variable-speed wind turbines poses challenges due to factors like the nonlinearity of Mather which introduces the Taylor linearization, a mathematical technique to approximate the behavior of the nonlinear system around a specific operating point by creating a linear model. The proposed control extends model predictive control (MPC) by incorporating Laguerre functions and includes constraints on the control. The proposed approach offers numerous benefits, such as faster convergence to the optimum speed, robust performance against external disturbances, ease of real-time implementation, and enhanced turbine performance and safety. This methodology was applied to the mechanical component of a wind turbine system. A comparative analysis was conducted against a sliding mode controller (SMC) and model predictive control (MPC), demonstrating the efficacy of the developed control and illustrated by numerical simulations using MATLAB toolbox.