Model of the electric network based on the fractal-cluster principle

Energy systems with a significant share of distributed generation in modern energy play an increasingly important role and contribute to the green transition. In the Ukrainian energy sector, the introduction of distributed generation also occurs under conditions of military influence on energy infrastructure facilities, which additionally forces the distribution of generation facilities across the territory of the respective regions of the country. The fundamental difference between distributed generation systems and traditional power systems with concentrated generating capacities is the consumption of energy at the place of its generation. This sets the task of reviewing the general principles of building the configuration of electrical networks. The idealized model of the branched electrical network of the power system with distributed generation is proposed in the work, which takes into account the features of systems with distributed generation. This model is based on the fractal-cluster principle of forming the configuration of electrical networks. It is proposed to build an electrical distribution network based on a regular fractal. The assumptions and limitations of the model are defined. Modeling of the structure and configuration of electrical networks was carried out. The electrical power of the underlying network cluster is determined. The basic fractal properties of the proposed idealized distribution network model are determined. Circuit solutions of unified node substations and basic network cluster are proposed.