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In this paper the connection in single stage single phase of a photovoltaic system (PV) to the electric power system is presented. A modified version of p-q theory is proposed in order to implement this strategy in a single phase inverter. To extract maximum power from the PV array an algorithm Maximum Power Point Tracking (MPPT) is used. For the switching pattern generation the hysteresis controller is used. The behavior of both the permanent and the transient state, which includes changing the radiation and the load is analyzed using a computer.