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Fault simulation is one of the main components of dynamic electric power system simulation programs. In this work, a fault-branch based admittance matrix was used to simulate a variety of multiple symmetrical or asymmetrical faults in unified dynamic power system simulation software. Admittance matrix contraction was employed to process multiple faults and random faults. An important feature of this method is its ability to process any faults in a branch without the addition of new branches or nodes, which improves the calculation efficiency and the usability of the software.