In the context of the increasingly serious environmental pollution and the gradual depletion of fossil energy, the development of energy systems tends to be cleaner and smarter. Our country has promoted the development of smart energy to a national strategy. As a core part of energy system, power system has wide application and strong regulation ability and its control is complex, and its intelligence level will determine the intelligence level of the energy system. With the high proportion of new energy terminals such as distributed power, electric vehicles and distributed energy storage components which have diversified features including energy production, storage and consumption in power grids, modern power systems are characterized by complex nonlinearity, strong uncertainty and strong coupling. The traditional modeling, optimization and control technologies have many limitations. Artificial intelligence technology will be effective in solving complex system control and decision problems, therefore, this article combs the development of artificial intelligence in the application of power system firstly. According to the hot area of application of artificial intelligence in power system, this paper expounds the application of artificial intelligence in power system scheduling, planning and electricity market and the future direction of the research content is prospected.