Abstract

A certain mathematical model of a multi-machine power system, which is suitable for transient stability studies and allows for machine damping, is Bhown to satisfy the generalized Popov criterion, within a limited range. Hence it is possible to use a systematic method to construct a Lur'e-type Liapunov function for the system. The Liapunov function obtained in this paper contains damping terms whose weight can be adjusted by a variable parameter. The variation will have corresponding effects on the estimates of the system's stability region.

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