Abstract: The present disclosure discloses a method for fast determining a time-delay stability margin of a power system, which focuses on three steps, i.e., Jordan standardization, Taylor separation and Schur simplification, to reconstruct a new time delay system and reduce the system dimension. In this method, firstly, a time delay model is Jordan standardized; further, Taylor expansion is applied in a process for separating state variables with time delay from stage variables without time delay; then, balanced model reduction is realized by Schur simplification; and finally, a WSCC 3-generator-9-bus power system with multiple delays will be used to validate the proposed method via several typical criteria.

Abstract: The present disclosure discloses a method for fast determining a time-delay stability margin of a power system, which focuses on three steps, i.e., Jordan standardization, Taylor separation and Schur simplification, to reconstruct a new time delay system and reduce the system dimension. In this method, firstly, a time delay model is Jordan standardized; further, Taylor expansion is applied in a process for separating state variables with time delay from stage variables without time delay; then, balanced model reduction is realized by Schur simplification; and finally, a WSCC 3-generator-9-bus power system with multiple delays will be used to validate the proposed method via several typical criteria.