A generalised three phase power flow algorithm incorporating the uncertainty of Photo Voltaic(PV) source for unbalanced distribution network

With the ever increasing demand for electrical power and growing environmental concerns, the Distributed Generation(DG) technologies are finding their pivotal roles in the electric power industry. Power Flow Studies play a vital role in planning the future expansion of power system as well as for deciding the optimum operation of the existing power system. The uncertain and unbalanced nature of DG sources demand unbalanced power flow studies for analysing the DG integrated distribution system. DG sources such as Photo Voltaic(PV) installed in a distribution network are the major concern in this study. The randomness associated with the power production from the PV source should be modeled as a multistate variable in the power flow studies. The paper presents an unbalanced power flow algorithm based on the current summation method for the distribution system with the photovoltaic source. The uncertainty associated with the solar irradiance is modeled using Beta Probability Distribution Function(Beta PDF). The proposed algorithm is validated with IEEE 13 bus distribution feeder.