Abstract
Direct criteria seem quite attractive for transient stability analysis of power systems. Among various methods able to provide such criteria, the scalar Lyapunov approach, and more recently the vector one have been recognized worth exploring in order to derive interesting practical tools. The present paper gives an overview of the achievements obtained in this area. Its aim is twofold : first, to introduce new theoretical and practical improvements; second, to explore and discuss the potentialities of the criteria thus derived, by comparing the respective characteristics of the scalar and vector approaches. Comparisons are based on numerical results of several transient stability simulations performed on real or realistic systems composed of 3, 7, 9, 15 and 40 generators.
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