A simulation model for wind turbines

The equation of motion of a wind turbine may be written as $\text{J(}\text{dΩ}\text{d}\text{t}\text{) = g(V,Ω) ? T}$, where J is moment of inertia, T load torque, V wind speed and Ω angular velocity. It is proposed that the generated torque $\text{g(V,Ω)}$ may be described by an homogeneous second-degree function in V and Ω. This function is defined and some relevant properties are explored.