Energy Losses and Voltage Stability Study in Distribution Network with Distributed Generation

With the distributed generation technology widely applied, some system problemssuch as overvoltages and undervoltages are gradually remarkable, which arecaused by distributed generations like wind energy system (WES) and photovoltaicsystem (PVS) because of their probabilistic output power which relied on natural conditions. Since the impacts of WES and PVS are important in the distribution systemvoltage quality, we study these in this paper using new models with the probabilitydensity function of node voltage and the cumulative distribution function oftotal losses. We apply these models to solve the IEEE33 distribution system to bechosen in IEEE standard database. We compare our method with the Monte Carlosimulation method in three different cases, respectively. In the three cases, theseresults not only can provide the important reference information for the next stageoptimization design, system reliability, and safety analysis but also can reduce amountof calculation