5G networks will provide services for a wealth of vertical industry applications, bringing more demand for edge services. Multi-access edge computing (MEC) is one of the important technologies of 5G. By providing an information technology service environment and cloud computing capabilities close to the mobile users, it can better support low-latency and high-bandwidth services in 5G networks. This paper constructs an AI capability center based on 5G MEC, which can provide rich AI services for smart grids. The center supports the dynamic construction and operation of the intelligent data analysis application, and realizes the rapid development and flexible deployment of the business analysis process, which could improve the interaction and response time of the business analysis process. Based on AI algorithm capabilities, we focus on the typical cases of artificial intelligence service applications in smart grid e.g., monitoring of electrical equipment based on similar audio recognition. We describe the applications of artificial intelligence technology in various business scenarios from the perspective of application scenario, application scheme, algorithm principle and practice effect. The applications have been put in use and obtained good application effect.