This research monograph is in some sense a sequel to the author's
earlier one (Power System Stability, North Holland, New York 1981)
which devoted cons- erable attention to Lyapunov stability theory,
construction of Lyapunov fu- tions and vector Lyapunov functions as
applied to power systems. This field of research has rapidly grown
since 1981 and the more general concept of energy funct ion has
found wide spread application in power systems. There have been
advances in five distinct areas (i) Developing energy functions for
structure preserving models which can incorporate non-linear load
models (ii) Energy fu- tions to include detailed model of the
generating unit i. e. , the synchronous machine and the excitation
system (iii) Reduced order energy functions for large scale power
systems, the simplest being the single machine infinite bus system
(iv) Characterization of the stability boundary of the post-fault
stable eQui- brium point (v) Applications for large power networks
as a tool for dynamic security assessment. It was therefore felt
appropriate to capture the essential features of these advances and
put them in a somewhat cohesive framework. The chapters in the book
rough ly fo llow this sequence. It is interesting to note how
different research groups come to the same conclusion via different
reas- ings.
General
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