In this thesis, a grid-connected PV system that uses a QZSI is studied, modelled and simulated using the Simulink module in the software Matlab, after conducting research on the electrical devices involved as well as on the control algorithms re-quired. The final model has been found to be stable for all irradiances studied with and without MPPT, presenting low error compared to theoretical values and an effi-ciency above 90%, concluding that the overall performance is satisfactory. However, there is room for improvement to reduce oscillations on the output current.