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As a new power electronic equipment, energy routers (ERs) can realize the flexible distribution of electric energy in power systems. It is of great significance to analyze the influence of energy routers on the system and study the power flow calculation methods of AC-DC hybrid distribution networks with ERs as the distribution hub. In this paper, the steady state power flow model of ERs is established based on the improved alternating iteration method, and the droop control strategy is adopted for the DC port of the ERs. Combined with the traditional decoupling method, an AC-DC decoupling iterative power flow calculation method suitable for the power distribution network containing ERs is proposed. An IEEE 14-node and IEEE 69-node system with multiple ERs are used as examples to verify the correctness and convergence of the proposed method. In order to analyze the influence of ERs on the system operation, the simulation calculation of IEEE 69-node test system in different scenarios proves that ERs can support the node voltage in the system and reduce the system operation loss.