The Applications of Graph Theory in Electric Network

Abstract

Graph theory, which was originally a branch of mathematics, is now an interesting subject with a wide range of applications. It is an important tool for studying natural science, engineering technology, economic management, and social phenomena. In this paper, the specific applications of graph theory in the analysis and design of electrical network are introduced based on basic concepts and basic theorems of graph theory. The application fields include the circuit calculation, the construction and analysis of power electronic topology and the distribution network. The idea of graph theory is integrated into the electric network, and the related complex issues are transformed into graph theory problems, as a result, the analysis process is simplified and optimized.