Abstract:In this paper, point estimation approach is used to calculate the statistical moment of a random quantity that is a function of m input random variables. In this work, loads of the proposed network is considered as a random variable. Two special cases of point estimation approach are considered such as 2m and 2m+1 concentration schemes. In 2m concentration scheme, skewness is considered, but in 2m+1 concentration scheme, both skewness and kurtosis are taken into account for probability density function. The proposed model is investigated using P. M. Anderson 9-bus test system. As a result, by changing the value of a random variable that follows a predefined distribution, expected bus voltage magnitude and expected line loading are identified. For the comparison purpose, 2m and 2m+1 scheme was compared with deterministic load flow analysis.