Development of Probabilistic Power Flow Algorithm for Radial Distribution Systems with DG Using Analytical Approach

This paper studies a probability power-flow analysis radial distribution system (RDS) with photovoltaic (PV) DG utilizing an analytical approach. A combined cumulant and gramchalier expansion are used to solve the analytical technique problem, cumulants are used to solve convolution problem and gram-chalier expansion is utilized to obtain the probability density function of the output variables. The uncertainties of DG and load demand are taken into consideration. To study the impact of DG in RDS, both solar irradiance random nature and load fluctuation are used as random variables. The developed technique is carried out on the standard IEEE 85-bus feeder using MATLAB M-Files. The obtained results prove that the DG improves the voltage profile and decrease the power losses of the test networks however the standard deviation of the system is increase.