Abstract
To research the chaotic motion problem of the direct-drive permanent magnet synchronous generator (D-PMSG) for a wind turbine with uncertain parameters and fractional order characteristics, a control strategy established upon fuzzy state feedback is proposed. Firstly, according to the working mechanism of D-PMSG, the Lorenz nonlinear mathematical model is established by affine transformation and time transformation. Secondly, fractional order nonlinear systems (FONSs) are transformed into linear sub-model by Takagi–Sugeno (T-S) fuzzy model. Then, the fuzzy state feedback controller is designed through Parallel Distributed Compensation (PDC) control principle to suppress the chaotic motion. By applying the fractional Lyapunov stability theory (FLST), the sufficient conditions for Mittag–Leffler stability are formulated in the format of linear matrix inequalities (LMIs). Finally, the control performance and effectiveness of the proposed controller are demonstrated through numerical simulations, and the chaotic motions in D-PMSG can be eliminated quickly.
Highlights
With the rapid development of the global economy, fossil energy will produce a lot of pollutants and CO2 in the process of development and utilization, which will lead to global warming and pose a serious threat to the ecological environment [1]
It is of great theoretical significance to build a fractional-order drive permanent magnet synchronous generator (D-permanent magnet synchronous generator (PMSG)) linearization sub-model and study its chaos control method so that wind turbine systems (WTSs) can operate safely and stably, which lays a theoretical foundation for the further study of its chaotic dynamic characteristics and control strategy in the actual operation process
The fractional-order D-PMSG fuzzy chaotic model with uncertain parameters is established and a fuzzy state feedback control strategy based on the Parallel Distributed Compensation (PDC) control method is proposed
Summary
With the rapid development of the global economy, fossil energy will produce a lot of pollutants and CO2 in the process of development and utilization, which will lead to global warming and pose a serious threat to the ecological environment [1]. The dynamic characteristics from Hoff bifurcation to stability were studied, and a new predictive control method was designed to suppress the chaotic behavior in the fractional-order model [38]. A novel adaptive fractional fuzzy integral sliding mode control scheme is proposed to suppress the chaotic motion of fractional order PMSM based WECSs [50], but the uncertain parameters in the process of the system operation are not considered. It is necessary to study the nonlinear dynamic behavior, chaos generation mechanism, and control method of D-PMSG for wind turbines with uncertain parameters. It is of great theoretical significance to build a fractional-order D-PMSG linearization sub-model and study its chaos control method so that WTSs can operate safely and stably, which lays a theoretical foundation for the further study of its chaotic dynamic characteristics and control strategy in the actual operation process. The simulation results show that the proposed controller has good control performance and robustness, and can effectively eliminate the chaotic motion
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