This chapter delves into the critical role of power flow in distribution networks, underlining its crucial impact on the stability and efficiency of electrical systems. By analyzing how network topology evolves over time, the study identifies potential challenges and paves the way for proactive improvements to bolster reliability. Investigating the influence of equipment and connectivity modifications on system behavior, this research considers factors such as new loads, integration of renewable energy sources, and infrastructure upgrades. To analyze the network’s intricate behavior under diverse circumstances, the study employs sophisticated algorithms, including the Newton–Raphson method. With a particular focus on estimating active/reactive power and detecting overvoltage/undervoltage issues, this research examines a residential rural network consisting of 14 nodes.