In this Work, the formulation of a unified power quality index applied to radial distribution networks is presented. The index focuses on two quality phenomena, namely: voltage sag and voltage harmonic distortion, and allows quantifying the impact of connecting photovoltaic generation sources and non-linear loads, on these two phenomena.The formulation of the index is achieved from the parametric sensitivity analysis of the voltages in the network buses, depending on the system's line and load impedances variations and the location of the connection point of the photovoltaic source or non-linear load. The sensitivity analysis is developed using a proposed algorithm, based on the approach of the network equations and on a logical pattern of behavior that allows them to be resolved sequentially. The result of this analysis makes it possible to identify two determining factors for each quality phenomenon, with which, by means of a qualification methodology, the digits of two individual indices are raised that are later integrated into the unified index.The proposed index is applied to different case studies on the IEEE 33-node test feeder reference system, within which different ranges of load and line impedances variation are considered, the connection of a photovoltaic source with harmonic injection and the connection of a motor speed variator as a non-linear load. For these connections, it was identified that the level of penetration can deteriorate the quality, and that the connection of the non-linear load causes the greatest reduction in the quality of the nodes. The index allows nodes to be classified according to their power quality and is a useful, practical and easy-to-calculate tool.