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An algorithm about voltage stability assessment is proposed in the paper based on wide area measurement system (WAMS). Only local synchronized phasors are used in the method, which include the synchronized phasors of the target bus and the buses connected to it. The whole system is converted into an equivalent two bus system by multiple measured synchronized phasors. The relationship of the load impedance magnitude and the Thevenin's equivalent impedance magnitude is analyzed when voltage stability problem occurred. A voltage stability index based on the relationship was also given in the paper. The simulation results on the New England 39 bus system demonstrate the effectiveness of the proposed method.