Aiming at the current situation of application of relay protection fault information (RPFI), the method of modeling, analysis and application of fault information using graph signal (GS) processing technology is studied. Firstly, the GS modeling method for RPFI is given, and five typical application scenarios are modeled. Secondly, the GS model analysis method of RPFI is studied, and typical application methods are given. Finally, three applications of RPFI are implemented through IEEE 39-node network using graph Fourier Transform centrality (GFT-C) algorithm. Compared with the typical degree-centricity and pagerank-centricity algorithm, The GFT-C algorithm used in this paper has better recognition performance.