A small domestic wind turbine can be exempted development, but the conditions are tight — limits on total height, rotor diameter, distance from the boundary and from any dwelling, noise levels and a restriction to one turbine per house.
In practice most sites fail one of the setback conditions, because the turbine must be sited a distance greater than its total height from the nearest party boundary and from any dwelling. Small urban gardens rarely satisfy that.
Even where exemption applies, the turbine must not be erected on the front of a house or on a protected structure, and noise at the nearest inhabited dwelling is limited.