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This paper proposes a new methodology of the power system dynamic security assessment. Based on the concept of stability margin, the method estimates the dynamic stability index that corresponds to the most critical value of synchronizing and damping torques of multimachine power systems. ANN-based pattern recognition is carried out with the self-organization feature mapping developed by Kohonen. Numerical results, carried out on a IEEE 9 buses power system are presented and discussed. The analysis using such method provides accurate results with a great saving in computation time.