With the increasing integration of renewable energy sources, the power distribution terminals and data volumes in smart distribution networks continue to expand, which results in cloud architecture, fully distributed algorithms and some traditional communication methods failing to meet the operational requirements with the smart distribution power networks. In comparison, 5G communication exhibits significant potential performance due to its enhanced capabilities, particularly its network slicing feature, which facilitates the adoption of multi-access edge computing (MEC) by classifying terminal services and information types, while MEC could enhance computational capabilities at distribution terminals. This paper validates the feasibility of edge computing deployment in 5G networks based on the OMNET++ platform and proposes a hybrid architecture designed for smart distribution power networks, combining the respective advantages of both cloud and edge computing, whose performance further analyzed through comparative studies with other algorithms. The results demonstrated that the proposed cloud-edge collaborative architecture in this paper was effective and showed the promising performance for the smart distribution power networks.