The modelling of gust generation by an array of oscillating vanes at Delft's University of Technology Open Jet Facility is proposed. Focus is placed on identifying relevant in-field gusts that horizontal axis wind turbines are exposed to and reproduction via numerical methods in the wind tunnel setting. A computationally efficient model is developed based on potential flow theory. The model validation showed good results overall, preserving general trends. Several vane configurations are proposed. Veer profiles representative of all atmospheric stability conditions are simulated as well as a maximum profile with veer angle difference between the top and bottom of the rotor of up to 20°. A coupling between the trailing vorticity of the vanes and achieved veer profile is identified. Temporal variation of the streamwise velocity component is achieved, however, not following the intended gust profile. Peak to trough velocity variation of up to 28% of the free stream value is observed. Furthermore, gust length scale was linked to vane spacing, limiting the possibility of small geometric scale testing.