PROBABILISTIC LOAD FLOW COMPUTATION USING, GRAM•CHARLIER EXPANSION

Abstract

This thesis report deals with the application of probabilistic load flow computation using Gram-Charlier expansion and Probabilistic load flow using Complex Random Variable analysis to the radial distribution system. Two types of load distributions have been considered namely, normally distributed loads and discrete random loads. A typical system is analyzed for nodal powers when they are (a) independent and when they are (b) dependent. The mean and standard deviations of bus voltages, active and reactive powers have been calculated. The results obtained have been compared with Deterministic load flow, basic probabilistic distribution load flow and Monte Carlo simulation and are found to be in good agreement. The probability density functions for these variables also have been plotted. In this thesis, for probabilistic load flow with method of moments, the input parameters viz, loads and line data are assumed as complex random variables. The probability distribution functions for bus voltages have been calculated. The results can be used for adequacy analysis of the distribution system.