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Development of Mathematical Model of Doubly Fed Induction Electric Machine for Wind Turbine with Improved Yaw System

Global wind power rapid growth turns this economical segment to a wider and competitive market. Modern wind turbines have a bundle of electromechanical component combinations to meet the grid electrical power requirements. In particular, doubly fed induction machines (DFIM) are often used currently for big wind turbines in the wind farms due to the ability of wind speed variation adaptation and providence of constant voltage and frequency. This paper demonstrates the analytic model of the wind turbine based DFIM, reflected by a set of mathematical equations along with the space state representation of a model. This model was developed and analyzed by simulation studies using MATLAB/SIMULINK environment at fixed and variable wind speed. In addition, the simulation results are compared with the built-in DFIM model in Simulink library to find out the adequacy of the developed model. The DFIM machine is better adapted to the various torque fluctuation appeared from yawing. The deficit of power comparing with the table power versus wind speed curve could be a base for yawing error calculation.