Review of Mathematical Methodology for Electric Power Optimization Problems

Electric power system is a physical energy system consisting of power generation, substations, transmission, distribution, and consumption. The objective of power system optimization is to improve power system security, economy, and reliability. This paper summarizes the classical mathematical optimization methods and modeling techniques of power system optimization associated with system planning, operation, and control. Along with the development of electric power industry, the concept of Energy Internet is addressed, which consists of power network, gas network, and transportation network. Under such new environments, electric power optimization faces some challenging with respect to the cooperation of multi-energy networks. According to the design structure and operational characteristics of the Energy Internet, some research areas of electric power optimization are presented from the view of mathematical optimization modeling and calculation. The aim is to provide some optimization methodology to solve the optimal issues of power system under the background of Energy Internet.