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A Robust Control for SCIG-Based Wind Energy Conversion Systems Based on Nonlinear Control Methods

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Abstract

This paper presents a nonlinear control structure for variable-speed squirrel cage induction generator-based wind energy conversion systems. The proposed control structure consists of two control systems designed for machine side converter (MSC) and grid side converter (GSC). The MSC controller is based on adaptive input–output feedback linearization designed in a new reference frame and is responsible for controlling the flux and torque of the machine. Torque control is achieved through a PI controller that its output determines the speed of the presented reference frame at each moment. For the GSC, a sliding mode-based control system is designed to control the DC link voltage in addition to controlling the active and reactive power exchanged with the grid. The validity and effectiveness of the proposed control structure have been investigated through simulation studies in MATLAB® software environment.

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Abbreviations

GSC:

Grid side converter

IOFL:

Input–output feedback linearization

MSC:

Machine side converter

SMC:

Sliding mode control

SCIG:

Squirrel-cage induction generator

WECS:

Wind energy conversion system

\({{\omega }_{\mathrm {r}}}\) :

Rotor shaft mechanical speed

\({{\omega }_{e}}, {{\omega }_{ev}}\) :

Rotational speed of synchronous qd and xy reference frames

\({{\theta }_{e}}, {{\theta }_{ev}}\) :

Angular position of synchronous qd and xy reference frames

\({T}_{\mathrm {m}}, {T}_{\mathrm {e}}\) :

Mechanical, electromagnetic torques

\({P}_{\mathrm {s}}, {Q}_{\mathrm {s}}\) :

Stator active and reactive power

\({P}_{\mathrm {g}}, {Q}_{\mathrm {g}}\) :

Grid active and reactive power

\({V}_{\mathrm {dc}}, {I}_{\mathrm {dc}}\) :

DC link voltage and current

J :

Lumped inertia momentum

D :

Lumped damping factor

\({{R}_{\mathrm {s}}}, {{R}_{\mathrm {r}}}\) :

Stator, rotor resistances

\({{L}_{\mathrm {s}}}, {{L}_{\mathrm {r}}}\) :

Stator, rotor inductances

\({{L}_{\mathrm {m}}}\) :

Magnetizing inductance

\({{\sigma }}\) :

Leakage factor

P :

Pole pairs

\({{\lambda }_{sqd}}, {{\lambda }_{sxy}}\) :

Stator flux linkage in qd and xy frames

\({{I}_{sqd}}, {{I}_{sxy}}\) :

Stator current in qd and xy frames

\({{V}_{sqd}}, {{V}_{sxy}}\) :

Stator voltage in qd and xy frames

\({{V}_{iqd}}, {{V}_{ixy}}\) :

Inverter voltage in qd and xy frames

\({{V}_{gqd}}, {{I}_{gxy}}\) :

Grid voltage and current in qd frames

\({{V_{1,2}}}\) :

Lyapunov function

\({{S}_{qd}}\) :

Sliding surface

\({{\hat{R}}_{\mathrm {s}}}\) :

Estimated stator resistance

\({{\tilde{R}}_{\mathrm {s}}}\) :

Stator resistance estimation error

e :

Tracking error

k :

Control gain

\({\gamma }\) :

Estimation gain

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran

    Adel Sotoudeh, Jafar Soltani & Mohammad Mahdi Rezaei

Authors
  1. Adel Sotoudeh
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  2. Jafar Soltani
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  3. Mohammad Mahdi Rezaei
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Contributions

AS contributed to methodology and software. JS was involved in the conceptualization and methodology. MMR was involved in the supervision, investigation and validation.

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Correspondence to Mohammad Mahdi Rezaei.

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Sotoudeh, A., Soltani, J. & Rezaei, M.M. A Robust Control for SCIG-Based Wind Energy Conversion Systems Based on Nonlinear Control Methods. J Control Autom Electr Syst 32, 735–746 (2021). https://doi.org/10.1007/s40313-021-00705-0

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