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An integral sliding mode controller with super-twisting algorithm for direct power control of wind generator based on a doubly fed induction generator

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Abstract

In order to reduce the chattering phenomena in the conventional sliding mode control, which appears mostly in the rotor currents, the integral sliding mode controller using the super-twisting algorithm is proposed. In this controller, the sliding surfaces are chosen so that they will be compatible with the errors in the stator active and reactive powers. The simulation results obtained when using a three blades wind turbine based a doubly fed induction generator; show the robustness of the proposed control model. The minimization of the chattering such as in the direct and the quadrature component of the rotor currents, which represents in the reducing of total harmonics distortion of the rotor currents and equal, to 3.82 and 3.54, resulting from the application of the integral sliding mode controller with sign function and with super-twisting algorithm respectively.

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Abbreviations

P s , Q s :

The stator active and reactive powers

\(P_{s}^{*}\), \(Q_{s}^{*}\) :

The reference values of the stator powers

P r , Q r :

The rotor active and reactive powers

GSC:

The grid side converter

RSC:

The rotor side converter

DFIG:

The doubly fed indication generator

MPPT:

The maximum power point tracking

PI:

The proportional integral

ISMC:

The integral sliding mode controller

ISMCsgn:

The integral sliding mode controller with sgn function

ISMCSTA:

The integral sliding mode controller with super-twisting algorithm

THD:

The total harmonics distortion

STA:

The super-twisting algorithm

Sgn :

The sign function

P a :

The extracted power from the wind

σ :

The leakage factor

C P :

The power coefficient

λ :

The tip speed ratio

β :

The angle of the blade

P vent :

The wind power

ρ :

The air density

W speed :

The wind speed

R :

The radius of the wind

\({\Omega}^{*}\) :

The reference rotor speed of the DFIG

G:

The gain multiplier

\(\lambda_{cpmax}\) :

The tip speed ratio max

J :

The inertia

f :

The friction coefficient

V dr , V qr :

The rotor voltage components

i dr , i qr :

The rotor current components

\(\phi_{dr}\), \(\phi_{qr}\) :

The rotor flux components

R r , L r :

The rotor resistance and inductance

R g , L g :

The grid resistance and inductance

M :

The mutual inductance

L s , R s :

The stator inductance and resistance

\(\omega_{r}\), \(\omega_{s}\) :

The rotor and the stator pulsation

\(\phi_{ds}\), \(\phi_{qs}\) :

The stator flux components

g :

The slip

v s :

The grid voltage

e 1, e 2 :

The error of the active and the reactive powers

C e :

The electromagnetic torque

T:

The times

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Tria, F.Z., Srairi, K., Benchouia, M.T. et al. An integral sliding mode controller with super-twisting algorithm for direct power control of wind generator based on a doubly fed induction generator. Int J Syst Assur Eng Manag 8, 762–769 (2017). https://doi.org/10.1007/s13198-017-0597-5

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  • DOI: https://doi.org/10.1007/s13198-017-0597-5

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