The objective of the paper is to provide a clear and comprehensive analysis of probabilistic load flow using Point Estimation Method, and its accuracy in the evaluation of the quantiles of the state variables of real electrical distribution networks. Three Points Estimation Method (TPEM) has been implemented to evaluate the first four moments of output variables (voltages, currents and active power flows), and several methods to reconstruct the probability density function from moments and calculate the quantiles have been compared, including Generalized Lambda Distribution and Gram-Charlier Development. Monte-Carlo PLF has been taken as reference to evaluate the accuracy of aforementioned TPEM results and the scope of application of the method in a real electrical distribution system.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.