Robust nonlinear control via feedback linearization and Lyapunov theory for permanent magnet synchronous generator-based wind energy conversion system

doi:10.1007/s11708-018-0537-3

Front. Energy

2020, Vol. 14

Issue (1) : 180-191 https://doi.org/10.1007/s11708-018-0537-3

RESEARCH ARTICLE

Robust nonlinear control via feedback linearization and Lyapunov theory for permanent magnet synchronous generator-based wind energy conversion system

Ridha CHEIKH¹(

), Arezki MENACER², L. CHRIFI-ALAOUI³, Said DRID⁴

¹. Department of Electrical Engineering LGEB Laboratory, Biskra University, Biskra 07000, Algeria; Laboratory of Innovative Technology (LTI), University of Picardie Jules Verne, IUT de l'Aisne 02880 Cuffies, France; Unité de Développement des Equipements Solaires, UDES, Centre de Développement des Energies Renouvelables, CDER 42415 Tipaza, Algeria
². Department of Electrical Engineering LGEB Laboratory, Biskra University, Biskra 07000, Algeria
³. Laboratory of Innovative Technology (LTI), University of Picardie Jules Verne, IUT de l'Aisne, 02880 Cuffies, France
⁴. LSPIE Laboratory, Department of Electrical Engineering, University of Batna2, Rue Chahid Med El-Hadi Boukhlof 05000, Algeria

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Abstract

In this paper, the method for the nonlinear control design of a permanent magnet synchronous generator based-wind energy conversion system (WECS) is proposed in order to obtain robustness against disturbances and harvest a maximum power from a typical stochastic wind environment. The technique overcomes both the problem of nonlinearity and the uncertainty of the parameter compared to such classical control designs based on traditional control techniques. The method is based on the differential geometric feedback linearization technique (DGT) and the Lyapunov theory. The results obtained show the effectiveness and performance of the proposed approach.

Keywords permanent magnet synchronous generator wind energy conversion system stochastic differential geometric feedback linearization maximum power point tracking Lyapunov robust control

Corresponding Author(s): Ridha CHEIKH

Just Accepted Date: 03 January 2018 Online First Date: 19 April 2018 Issue Date: 16 March 2020

Cite this article:

Ridha CHEIKH,Arezki MENACER,L. CHRIFI-ALAOUI, et al. Robust nonlinear control via feedback linearization and Lyapunov theory for permanent magnet synchronous generator-based wind energy conversion system[J]. Front. Energy, 2020, 14(1): 180-191.

URL:

https://academic.hep.com.cn/fie/EN/10.1007/s11708-018-0537-3
https://academic.hep.com.cn/fie/EN/Y2020/V14/I1/180

Fig.1 Schema of the PMSG-based WECS studied

Fig.2 (d-q) model of PMSG

Fig.3 Simulation scheme of robust control

Fig.4 Tracking performance check at a realistic wind speed

Fig.5 Control signal and generator output in optimal operation

Fig.6 Robustness test at a sharp variation of the wind speed

Fig.7 Transitory disturbances

Fig.8 Robustness test at a sharp variation of the high speed shaft inertia

Fig.9 Power coefficient ( + zoom)

Fig.10 Tip speed ratio ( + zoom)

Fig.11 Control parameters evolution during disturbances

Fig.12 Comparison results

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