TY - JOUR
T1 - Maximum power tracking of variable-speed wind energy conversion systems based on a near-optimal servomechanism control system
AU - Sarsembayev, Bayandy
AU - Zholtayev, Darkhan
AU - Do, Ton Duc
N1 - Funding Information:
This work was supported by Nazarbayev University under the Faculty Development Competitive Research Grant Program (FDCRGP), Grant No. 11022021FD2924. Bayandy Sarsembayev acknowledges the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09261258).
Publisher Copyright:
© 2022 John Wiley & Sons Ltd.
PY - 2022
Y1 - 2022
N2 - In this article, integral servomechanism based state-dependent Riccati equation (SDRE) nonlinear output feedback control for wind energy conversion systems (WECSs) has been proposed. The numerical off-line solving the proposed SDRE control requires to formulate algebraic Riccati equation and algebraic Lyapunov equation. This method approximates the solution of SDRE with Taylor series expansions which are solved with MATLAB solvers. The maximum power point tracking is achieved by defining relation between the optimal angular shaft speed and maximum power providing optimal tip speed ratio in variable-speed WECSs. The proposed control can significantly reduce the angular shaft speed errors of the permanent magnet synchronous generator (PMSG)-based WECSs without use of disturbance observers to compensate model uncertainties, modeling errors and noise as in the conventional SDRE control method. The simulation results demonstrate the superior results under mean average errors and root mean square error evaluation methods of the angular shaft speed of PMSG. The performance of the proposed integral servomechanism based SDRE control system has been improved by 80.67% and 80.05% in both scenarios compared to the conventional SDRE control based on compensation technique with disturbance observers.
AB - In this article, integral servomechanism based state-dependent Riccati equation (SDRE) nonlinear output feedback control for wind energy conversion systems (WECSs) has been proposed. The numerical off-line solving the proposed SDRE control requires to formulate algebraic Riccati equation and algebraic Lyapunov equation. This method approximates the solution of SDRE with Taylor series expansions which are solved with MATLAB solvers. The maximum power point tracking is achieved by defining relation between the optimal angular shaft speed and maximum power providing optimal tip speed ratio in variable-speed WECSs. The proposed control can significantly reduce the angular shaft speed errors of the permanent magnet synchronous generator (PMSG)-based WECSs without use of disturbance observers to compensate model uncertainties, modeling errors and noise as in the conventional SDRE control method. The simulation results demonstrate the superior results under mean average errors and root mean square error evaluation methods of the angular shaft speed of PMSG. The performance of the proposed integral servomechanism based SDRE control system has been improved by 80.67% and 80.05% in both scenarios compared to the conventional SDRE control based on compensation technique with disturbance observers.
KW - generator-side converter control
KW - integral servomechanism based control
KW - maximum power point tracking
KW - nonlinear output feedback controller
KW - optimal tip speed ratio
KW - permanent magnet synchronous generator
KW - state-dependent Riccati equation
KW - wind energy conversion system
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U2 - 10.1002/oca.2863
DO - 10.1002/oca.2863
M3 - Article
AN - SCOPUS:85124505413
SN - 0143-2087
VL - 43
SP - 904
EP - 924
JO - Optimal Control Applications and Methods
JF - Optimal Control Applications and Methods
IS - 3
ER -
