With the increasing integration of high-proportion distributed power sources, energy storage, it is necessary to introduce edge intelligent agents as intelligent entities at the terminals of distribution networks for data collection, analysis, computation, and control, thereby achieving efficient and intelligent autonomous operation of distribution networks. Traditional distribution automation systems, when undergoing top-level design, often separate business architecture and software design, which can lead to fragmentation and pose risks to the efficient and stable operation of distribution networks. Hence, an architecture for edge intelligent agent systems based on the concept of domain-driven design system architecture is proposed. Firstly, the internal architecture and implementation methods of functional modules of edge intelligent agents are analyzed. Secondly, using the domain-driven design approach, it constructs the domain model of edge intelligent agents in distribution networks, designs corresponding domain entities, state service capabilities, and domain service functions. Finally, it provides methods for constructing software platforms and software testing, and conducts verification analysis of the constructed system bycase studies.