Probabilistic Voltage Instability Assessment of Smart Grid Based on Cross Entropy Concept

Smart grids, which benefit from the deployment of new technologies such as renewable energy sources, electric vehicles, SCADA and PMU systems and etc., are becoming increasingly complex and uncertain, that can affect security and reliability of these systems. Power variation in generation units and loads demand causes variation in buses voltage that can reach to collapse point and cause instability in smart grids. Therefore instability assessment from buses voltage point of view under uncertain behaviors of smart grids is necessary and important for operation studies of these systems. In this paper by use of cross entropy concept, a new method for bus voltage instability assessment, in which stochastic and uncertain behavior of smart grids had been considered, is introduced. The distance between operational voltage and collapse point for each bus by use of Kullback Libeler divergence is evaluated to calculate instability of system voltage under uncertain operation of system. The IEEE 30-bus system has been analyzed by use of Monte Carlo simulation to evaluate the proposed method.