A Probabilistic Load Flow with Uncertain Load Using Point Estimate Method

This paper presents the effect of shunt capacitors in improving the bus voltages and power losses in distribution system under stochastic load scenarios. Here, normal density function is used to model the uncertainty in load demand and 2 Point Estimate Method (PEM) and 3 PEM are used to determine the real power losses and nodal voltages. The probability density function and cumulative distribution function of the power losses and weak bus voltages are obtained by using Cornish-Fisher expansion series. The proposed method is tested on IEEE-34 bus radial distribution system. Two case studies are performed to analyze the positive impact of shunt capacitors in distribution systems under stochastic scenario. The results are compared with those obtained by Monte Carlo Simulation approach.