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A new simultaneous-solution approach named the sub-tree reduction method is proposed for fast dynamic simulation of large-scale interconnected power system. In this method, a power system is represented by a component tree; the correction factors in Newton iteration of system simulation are calculated by a tree-traversing procedure called forward reduction and backward evaluation. This method can remarkably reduce computation burden of the Newton-type simultaneous-solution approach with greater programming flexibility. Case studies on two power systems verify the correctness and efficiency of this method.