Critical eigenvalue trajectory tracing for power system oscillatory stability assessment

This paper presents an integration based approach to trace a critical eigenvalue to identify oscillatory instability. Indices are developed to identify critical eigenvalue to be traced for further analysis. This index takes into account the rate of change as well as direction of the movement. The rate of change is with respect to any parameter variation of interest. This method in combination with maximum real part calculation provides reliable information related to margins with respect to oscillatory stability and minimum damping requirements. Eigenvalue and eigenvector sensitivities (with respect to any explicit /implicit parameters) are by products of this approach