A new stochastic model of the electric distribution network

This paper deals with the problem of estimating operating quantities in low-voltage distribution networks. Presented algorithms are based on a new stochastic model of a distribution network (EDS). Probabilistic modeling is used to respect active and reactive power flow uncertainties as well as the fact, that besides load currents, voltage drops and power losses are stochastic variables. More precisely, the operating quantities are stochastic processes caused by power consumption in the distribution network. They are represented by data containing information on voltage, load current and power loss in given sections of the distribution network. This information can be given either by their mean values or by their maximum values, together with given probability of exceeding these values. The proposed method is applicable to quantities estimation at any point of the distribution network, provided the power consumption of all customers, structure and parameters of the distribution network are known