Voltage Probabilistic Evaluation of Active Distribution Systems Considering Correlation between Wind Turbines Using Combined Cumulants and Maximum Entropy Method

Growth of wind distributed generation (DG) in the active distribution grids can impact on the operation and planning aspects of network. Therefore, this paper presents a probabilistic load flow problem to evaluate the impacts of wind unit uncertainties on the distribution systems. Proposed method is based on the cumulants technique that is a straightforward approach. This analytical method can assess the bus voltages of system in a probabilistic manner. Using correlated cumulants, a suitable methodology is presented to consider the correlation between wind generations. Furthermore, Weibull distribution is considered for modelling wind speed. Thereby, wind power curve is obtained. The proposed method is applied to the IEEE standard 33 bus test system, and the results are discussed.