## 1 Introduction  
With the continuous development of new types of power systems, the number of terminal devices in power distribution systems is growing explosively, and dependence on communication networks is also increasing to fulfill the communication requirements of the power sector [1]. Currently, CPDSs typically employ wireless and wired communication methods to monitor and control the data on the physical side to ensure the reliable operation of the system. Although wired communication technologies, such as fiber optic communication, have the advantages of high reliability and security, they also have the disadvantages of high investment, difficult construction, and difficult access in certain physical environments. The wireless communication technology represented by 5G is considered a key technology supporting CPDSs. Research has shown that compared to traditional wired communication, 5G wireless communication technology provides more flexible deployment tools, especially in remote or complex terrain areas, where fiber optics are difficult to lay. This helps to reduce deployment costs and time. 5G technology provides highly reliable communication connections, which are crucial for the stable operation of power systems. The reliability of communication networks directly affects the continuity and security of power supply. The low latency characteristics of 5G networks enable them to support real-time or near-real-time control and monitoring applications, which is crucial for quickly responding to faults and abnormal situations in a power system. The high data transmission rate of 5G networks supports the fast transmission of large amounts of data, which is very useful for handling the large amount of monitoring and control data generated in power distribution systems. Although wireless communication technology provides significant advantages, the integration of CPDSs also brings new challenges. Due to the increasing dependence of physical systems on cyber systems in urban distribution networks, it is important to accurately assess the reliability of the impact of the failure of the information communication system under the conditions of wireless network access. The impacts of information systems in physical systems are categorized as direct and indirect effects. The direct impact implies that information perturbations (e.g., information component failures and network attacks) can immediately lead to physical failures. Researchers have studied this by building corresponding reliability models. Literature [2] constructed a reliability assessment framework for distribution networks considering multiple types of information perturbations (e.g., cyber attacks, information component failures, and information transmission anomalies) by analyzing the consequences of information perturbations on information systems. Literature [3] constructed a reliability assessment model considering information component damage, transmission delay, and transmission error by analyzing the impacts of information system anomalies on the physical system. Traditional reliability assessment methods may not fully capture the unique characteristics of physical information systems. Therefore, researchers have developed new methods, such as machine learning-based predictive models, to improve the accuracy and efficiency of evaluations. Literature [4] proposed a reliability evaluation method and indicators for CPDSs in distribution networks, taking into account network interference. The study proposed a reliability modeling method that combined fault tree and Petri net to simulate the reliability of distribution network CPDSs and defined a generalized reliability index for distribution network CPDSs, considering network interference. Literature [5] established a multi-state reliability model based on the failure scenarios of coupled components and used a full binary tree topology traversal method to model distribution network information failure scenarios.