Stochastic Concept for Modeling Distributed Energy Resources in Power Systems

Distributed energy resources have become a stable and rapidly growing part of power systems. DER character and properties depend significantly on the type used technology and application. Their common feature is the probabilistic nature of their behavior and parameters. Penetration of DER into classical power systems raises the question of power quality and operational safety. This paper presents a general method to implement any DER into a custom power system and calculate the probabilities of possible impacts. The proposed method is based on the combination of deterministic, probabilistic, unknown parameters and information about investigating power system and future scenarios of DER penetration. The Paper also presents a case scenario where penetration of PV system into low voltage network is investigated. The last part shows the complex result of probabilistic power flow calculations. Presented methods have been used for practical applications to determine hosting capacity for PV systems in rural and urban areas of the Slovak republic.