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The model used for the calculation is actually the same as that of Dynamic Analysis module. The dynamic model is in general nonlinear, and therefore it has to be linearized first. This is done using numerical perturbations around the operating point. The operating point is determined by running loadflow and initialization routine of the dynamic module. Results of linearization are state-space matrices A, B, C, D. Eigenvalues of A-matrix determine the stability of the system.

 

The short summary of the computation steps is as follows:

•determining the operating point (using loadflow and initialization of the dynamic model);

•linearization of the dynamic model using numerical perturbations;

•computation of the eigenvalues of A-matrix of the linearized system.

 

Numerical calculations of eigenvalues are performed using the numerical library for linear algebra LAPACK (http://www.netlib.org/lapack/).