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Second order sliding mode maximum power point tracking of wind turbine systems based on double fed induction generator

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Abstract

This paper deals with maximum power point tracking control (MPPT) of wind turbines systems based on double fed induction generator (DFIG). To minimize the variable and random character of wind speed impact on the wind turbine system, a maximum power point tracking algorithm based on sliding mode control is proposed. The MPPT algorithm is designed with sliding-mode control theory, this solution shows good robustness with respect to parameter variations, measurement errors and robustness with respect to external disturbances and unmodeled dynamics (DFIG-WT). A comparative study is elaborated using PI, first and second order sliding mode controllers. The simulation results confirm the effectiveness of the proposed approach either in transient and steady state.

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Abbreviations

p:

Number of pole pairs

R:

Blade radius

G:

Gear ratio

\(T_{e} ,\,T_{WT} ,\,T_{G}\) :

Electromagnetic, wind turbine and output gearbox torque (N m)

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

Stator and rotor active power (W)

\(P{}_{WT}\) :

Wind turbine power (W)

\(v\) :

Wind speed (m s−1)

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

Stator and rotor resistor \((\Omega )\)

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

Stator and rotor self induction (H)

\(M\) :

Mutual magnetizing induction (H)

\(\,J_{g} ,\,J_{WT} ,\,J\) :

Generator, wind turbine, total inertia moment (kg m2)

\(f_{g} ,\,f_{WT} ,\,f\) :

Generator, wind turbine, total friction coefficient (N m s−1)

\(P\) :

Active load power (W)

\(Q\) :

Reactive load power (VAR)

\(Cp,\,\,Cp_{\hbox{max} }\) :

Power coefficient and its maximum

\(g\) :

Slip

\(u_{s} ,\,u_{sd} ,\,u_{sq} \,\) :

Stator voltage and its direct and quadrate components (V)

\(i_{r} ,\,i_{rd} ,\,i_{rq} \,\) :

Rotor current and its direct and quadrate components (A)

\(\Omega _{WT} ,\,\Omega _{g} ,\,\Omega\) :

Wind turbine, generator and rotor mechanical angular speed (rd s−1)

\(\omega {}_{WT}\) :

Angular rotor frequency (rd s−1)

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

Stator and rotor current frequency (rd s−1)

\(\rho\) :

Air density (kg m−3)

\(\lambda ,\,\,\lambda_{opt}\) :

Speed ratio and its tip value

VSCF:

Variable speed constant frequency

WECS:

Wind energy conversion system

DFIG:

Doubly fed induction generator

MPPT:

Maximum power point tracking

PIC:

Proportional integrator controller

SMC:

Sliding mode controller

FLC:

Fuzzy logic controller

SOSMC:

Second order sliding mode controller

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Authors and Affiliations

  1. Laboratory of Research, LGEB, University of Biskra, Street of Mohamed Kheider, 07000, Biskra, Algeria

    W. Slimane, M. T. Benchouia & A. Golea

  2. Laboratory of Research, LSP-IE, University of Mustafa, Benboulaid Batna 2, Street of Chahid Med El-Hadi Boukhlof, 05000, Batna, Algeria

    S. Drid

Authors
  1. W. Slimane
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  2. M. T. Benchouia
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  3. A. Golea
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  4. S. Drid
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Correspondence to W. Slimane.

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Appendix

Appendix

See Tables 2, 3, 4.

Table 2 4 kW DFIG parameters
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Table 3 WT parameters
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Table 4 Control parameters
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Slimane, W., Benchouia, M.T., Golea, A. et al. Second order sliding mode maximum power point tracking of wind turbine systems based on double fed induction generator. Int J Syst Assur Eng Manag 11, 716–727 (2020). https://doi.org/10.1007/s13198-020-00987-8

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  • DOI: https://doi.org/10.1007/s13198-020-00987-8

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