A Velocity quasiLPV-MPC Algorithm for Wind Turbine Control

This paper presents a velocity quasi linear parameter varying model predictive control (quasiLPV-MPC) algorithm for the whole wind turbine operating range, leveraging MIMO pitch and torque control. Rigorous modelling of wind turbine dominant dynamics based on Lagrange’s equation is presented in detail and validated with FAST. Implementing the resulting non-linear wind turbine model in Simulink yields an efficient controller test environment with the simulation accelerated by up to two order of magnitudes, compared to the inclusion of FAST code via an S-Function. In this work, the undesirable fore-aft tower motions and power variance are decreased considerably, up to a ratio of thirty, compared to a baseline PI controller. The implementation as velocity quasiLPV-MPC mitigates the need to store equilibrium input and state vectors, decreasing memory usage considerably. Moreover, the proposed predictive algorithm converges in one iteration, requiring less than 3 ms calculation time, making it suitable for real-time application.