Probabilistic Load Flow Analysis Considering Power System Random Factors and Their Relevance

New energy powers such as wind power and solar power technology taken into the power system increase random fluctuation in the system, and therefore threshold-crossing problem of nodal voltage and load flow are becoming increasingly more significant. Based on semi-invariant and Gram-Charlier series, the paper considers the randomness of the generator and load, nodes relevance, random slip of branches and branches relevance to study probabilistic load flow, focuses on the influence of nodes relevance and relevance among branches random slip on probabilistic load flow, and confirmed that is necessary to consider the relevance among nodes and branches random failure. In addition, we consider the complementary between wind power and photovoltaic power generation, use the method to analyze probabilistic load flow of IEEE30 bus system with wind power and photovoltaic power, and get probability density curve of the node voltage and load flow. Simulation results show that wind and solar can reduce the randomness of wind power impact on the system.