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An analytic approximation for the critical clearing time (CCT) metric isderived from direct methods for power system stability. The formula has beendesigned to incorporate as many features of transient stability analysis aspossible such as different fault locations and different post-fault networkstates. The purpose of this metric is to analyse trends in stability (in termsof CCT) of power systems under the variation of a system parameter. Wedemonstrate the performance of this metric to measure stability trends on anaggregated power network, the so-called two machine infinite bus network, byvarying load parameters in the full bus admittance matrix using numericalcontinuation. Our metric is compared to two other expressions for the CCT whichincorporate additional non-linearities present in the model.

An algebraic metric for parametric stability analysis of power systems