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Further Results on Modeling, Analysis, and Control Synthesis for Offshore Wind Turbine Systems

  • Hamid Reza KarimiEmail author
  • Tore Bakka
Chapter
Part of the Advances in Industrial Control book series (AIC)

Abstract

Renewable energy is a hot topic all over the world. Nowadays, there are several sustainable renewable power solutions out there; hydro, wind, solar, wave, and biomass to name a few. Most countries have a tendency to want to become greener. In the past, all new wind parks were installed onshore. During the last decade, more and more wind parks were installed offshore, in shallow water. This chapter investigates a comparative study on the modeling, analysis, and control synthesis for the offshore wind turbine systems. More specifically, an \( {\mathcal{H}}_{\infty } \) static output-feedback control design with constrained information is designed. Constrained information indicates that a remarkable performance can be achieved by considering less information in the control loop or in the case of sensor failures in practice. Therefore, a special structure is imposed on the static output-feedback gain matrix in the contest of constrained information. A practical use of such an approach is to design a decentralized controller for a wind turbine. This will also benefit the controller in such a way that it is more tolerant to sensor failure. Furthermore, the model under consideration is obtained by using the wind turbine simulation software FAST. Using Linear Matrix Inequality \( ({\mathcal{L}\mathcal{M}\mathcal{I}}) \) method, some sufficient conditions to design an \( {\mathcal{H}}_{\infty } \) controller are provided. Finally, a comprehensive simulation study will be carried out to illustrate the effectiveness of the proposed methodology for different cases of the control gain structures.

Keywords

Wind turbine system Control design Modeling Simulation LMI 

Nomenclature

\( \beta \)

Blade pitch angle

\( C_{p} \)

Power coefficient

\( F_{t} \)

Thrust force

\( \lambda \)

Tip-speed-ratio

\( P_{a} \)

Extracted electrical power from the wind

\( \omega_{r} \)

Rotational speed of the rotor

R

Rotor radius

\( \rho \)

Air density

\( T_{a} \)

Aerodynamic torque

\( \upsilon \)

Wind speed acting on the blades

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of Engineering, Faculty of Engineering and ScienceUniversity of AgderGrimstadNorway

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