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As power systems continue to develop, realtime simulation and online dynamic security analysis using parallel computing are becoming increasingly important. This paper presents a novel multilevel partition scheme for parallel computing based on power network regional characteristics and describes the design and implementation of a hierarchical block bordered diagonal form (BBDF) algorithm for power network computation. Some optimization schemes are also proposed to reduce the computing and communication time and to improve the scalability of the program. The simulation results of a large network having 10188 nodes, 13499 branches, 1072 generators and 3003 loads show that the proposed algorithms and schemes running on a cluster system with 12 CPUs can provide a 15 times faster speed than the single CPU one, to satisfy the realtime simulation requirements for large scale power grids.