Electromechanical transient characteristic analysis method for power system based on hybrid monotonic characteristics

The invention discloses an electromechanical transient characteristic analysis method for a power system based on hybrid monotonic characteristics. The electromechanical transient characteristic analysis method comprises the following steps: S1, establishing an electromechanical transient pure differential equation model of the power system; s2, according to the pure differential equation model inS1, obtaining an element analytical expression in a corresponding Jacobian matrix, analyzing symbol characteristics of the Jacobian matrix of the power system in multiple stages, and if values of non-diagonal elements of the Jacobian matrix J (x) of f (x) are kept constant and non-positive or constant and non-negative, determining that a mixed monotonic decomposition function exists; and S3, constructing a monotonous augmentation system by adopting the mixed monotonous decomposition function, estimating an uncertain power system state trajectory according to the solution of the augmentation system, and analyzing the