Investigating the emergent invariant properties of Hungarian electric distribution networks

Electric power distribution networks serve as the final and essential stage in power delivery, bridging transmission infrastructure and end users. The structural configuration of these networks plays a critical role in determining system reliability, fault tolerance, and operational efficiency. Although the design of distribution systems is influenced by various regional factors, such as geography, customer density, and planning standards, the extent to which consistent structural characteristics emerge across different networks remains an open question. In this study, we perform a detailed spatial and topological analysis of five MV distribution networks in Hungary. Despite notable differences in geographic layout and consumer distribution, we identify statistically consistent patterns across several key metrics, including degree, BC, and powerline length. These findings suggest the influence of common underlying design principles or optimization constraints, potentially indicating universal structural tendencies in MV network design. The results provide insight into the organization of real-world distribution systems and offer a basis for improved planning, risk mitigation, and system optimization in future grid developments.