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Sliding mode controller based on type-2 fuzzy logic PID for a variable speed wind turbine

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Abstract

In this paper, an optimal type-2 fuzzy logic proportional integral derivative controller based on sliding mode controller (IT2FL-PID-SMC) is designed for a wind turbine with variable speed. The major aim of this work is to overcome the deficiencies of the classical sliding mode controller. In this study, the sliding mode controller presented is modified; the sliding surface is replaced by the type-2 fuzzy proportional integral derivative controller. The type-2 fuzzy system is used to improve the classical sliding mode control efficiency and the robustness. The proposed (IT2FL-PID-SMC) can be used to reach strong stability as well as increase the variable speed wind turbine performance. The reliability and consistency of the proposed approach is assessed by completing simulations and analyzing comparisons with the classical SMC. The simulation results are clearly indicated the effectiveness and the validity of the proposed method, in terms of precision and time of convergence.

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Abbreviations

\( \omega_{r} \) :

Rotor speed

\( J_{r} \) :

Rotor inertia

\( K_{r} \) :

Rotor friction coefficient

\( \theta_{r} \) :

Rotor side angular deviation

\( T_{ls} \) :

Shaft torque

\( B_{ls} \) :

Shaft stiffness coefficient

\( K_{ls} \) :

Shaft damping coefficient

\( \theta_{ls} \) :

Gearbox side angular deviation

\( T_{hs} \) :

Shaft torque

\( T_{em} \) :

Generator electromagnetic torque

\( J_{g} \) :

Generator inertia

\( \omega_{g} \) :

Generator speed

\( K_{g} \) :

Generator friction coefficient

\( n_{g} \) :

Transmission ratio

\( \theta_{g} \) :

Generator side angular deviation

\( v \) :

Wind speed

\( \rho \) :

The air density

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Authors and Affiliations

  1. LESSI Laboratory, Department of Physics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, Fez, Morocco

    Zineb Lahlou, Khaddouj Ben Meziane & Ismail Boumhidi

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  1. Zineb Lahlou
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  2. Khaddouj Ben Meziane
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  3. Ismail Boumhidi
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Correspondence to Khaddouj Ben Meziane.

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Lahlou, Z., Ben Meziane, K. & Boumhidi, I. Sliding mode controller based on type-2 fuzzy logic PID for a variable speed wind turbine. Int J Syst Assur Eng Manag 10, 543–551 (2019). https://doi.org/10.1007/s13198-019-00767-z

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