An Analytical Solution To The Voltage-Constrained Stability Problem Of Real Ac Systems
An Analytical Solution To The Voltage-Constrained Stability Problem Of Real Ac Systems
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Date
2010-03
Authors
Mohammed EL-Sadik, Fayez
Journal Title
Journal ISSN
Volume Title
Publisher
Sudan Eng. Society Journals.
Abstract
It has been concluded for quite some time now that
no algebraic equation has been
derived for the steady-state stability limit (SSSL)
of a transmission system with
resistance and node voltage constraints. As a resul
t, many a criterion has been
advocated in the different literatures for systems
with losses; with no definite
conclusions being reached about certain unresolved
operational limits. These include,
e.g., exact knowledge of the ‘stability reserve mar
gin’ which has evoked many
speculations during the analysis of blackout events
recently reported for stressed
systems worldwide. The results of the analytical so
lution to the boundary problem
presented in this paper reveal operational limits t
hat couldn’t have been observed
through equations without the resistance parameter.
The approach yields an equation for the necessary c
onditions of instability referred to
the receiving-end voltage V
R
with the sufficient conditions hence the complete
solution
being provided by an equation for the sending volta
ge E. The receiving-end equation
relating internal voltages and sectional impedance
elements will describe potential
bounds of events in waiting (for E) to happen and h
ence a metric for the distance to
blackout. The sending voltages that will verify the
V
R
relationship roots which are
embodied in higher-order polynomial expressions for
the cases considered are easily
verifiable.
Description
Keywords
Maximum power, resistance parameter, SSSL singularities