In Real-Time analysis of distribution networks, it is essential to correctly represent the as is network status in the field. This includes identification of Energized/De-energized nodes, Energized/De-energized branches, loops, parallels and temporary modifications. Although distribution networks are normally operated radially, a distribution system undergoes several configuration changes topologically in daily operations where, loops and/or parallels may be intentionally or inadvertently created. This paper proposes a novel and practical approach for the formation of the Branch Node Matrix for balanced as well as unbalanced 3-pH networks. The Branch Node Matrix is initially formed for the base network and then updated based on several conditions using the Breadth-First Search algorithm. Identification of specific network topology conditions, based on the Branch Node Matrix, is explained using the above-mentioned approach. Identification of such topological conditions serves the utilities to represent the network correctly and obtain accurate power flow results. Additionally, it may warn the system operators of the existing abnormal topological conditions and to take remedial steps proactively. © 2023 Elsevier B.V.