This paper proposed a fast search method of flow transferring based on low-dimensional network block. According to the peripheral impact of different line removal, the method divided the transmission network into several block based on the theory of graph, and transformed the multi-loop complex network block to the low-dimensional network block by making a simplification for lines with series-parallel connection, laying a foundation for the fast search of flow transferring. On that basis, according to the path feature of flow transferring, it used the minimal loop that contained the overload line as the baseline, accurately recognize risky lines that have risk of overload by searching the shunt path segment of the minimal loop. The security analysis of the whole system is reduced to the analysis of several transmission lines, so it’s very beneficial to avoid cascading failure of power system. The simulation results show the practicability and feasibility of the proposed algorithm.