# THE MATHEMATICAL MODEL OF SMALL SCALE WIND TURBINE WITH A HORIZONTAL AXIS

The mathematical model of a small scale power wind turbine with a horizontal axis has been developed for a system converting mechanical wind energy to mechanical energy of a generator rotor. The model describes aerodynamic processes and mechanical energy conversion processes. The resulting mathematical model is used to develop an optimal control law that maximizes the output (generated) power when the wind speed changes. The mechanical characteristic of the wind turbine is considered and value of maximum power coefficient of utilization of the turbine power is obtained, while neglecting the power losses in the reducer and inverter. The model is developed by Matlab Simulink software.

**Authors:** D. V. Samokhvalov, Ahmed Ibrahim Jaber

**Direction:** Electrical Engineering

**Keywords:** Wind turbine with a horizontal axis, power coefficient, speed, output power

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