A Graph theoretical Approach of Three-Phase Power System using Short Circuit Analysis

This paper proposes the Graph theoretical Approach of three-phase power system using Short circuit analysis. The growing demand for reliable electrical power supply has forced the application of computers in electrical power system analysis. The mathematical model of power system network for the purpose of steady state analysis such as load flow and planning studies or short circuit studies are a set of network equations. These network equations can be established in the bus frame of reference (using Zbus), in the loop frame of reference (using Zloop), or in the branch frame of reference (using Z Branch). To solve network equations of a large-scale power system, it necessary to choose the proper frame of reference with the least matrix size. In this proposed work fault analysis is done (using Zloop) with loop incidence matrix(C) and also with Zbus for IEEE 14 bus system through MATLAB. Encouraging results are obtained in graph theoretical approach (using Zloop) compared to conventional approach (using Zbus).