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This lecture covers the analysis of short-circuit currents in electrical networks, focusing on the calculation of currents in different phases and nodes. It discusses the nodal impedances and their association with direct, reverse, and zero sequence networks. The lecture also delves into the calculation of state variables and equilibrium in the network, emphasizing the importance of accurate voltage deviations. Additionally, it explores protection devices, dynamic phenomena, and the integration of algebro-differential systems in network analysis. The presentation concludes with a detailed explanation of the structure and operation of electricity transmission networks, including the role of generators, consumers, and market mechanisms.