A boundary of stability region based controlling unstable equilibrium
point method (BCU method) for direct analysis of power system transien
t stability is presented. Features distinghishing the BCU method from
the existing direct methods are that it consistently finds the exact c
ontrolling u.e.p. relative to a fault-on trajectory and that it has a
sound theoretical basis. Moreover, the BCU method appears to be fast.
This method is based on the relationship between the boundary of stabi
lity region of a power system and that of a reduced system. The BCU me
thod finds the controlling u.e.p. of the original system via a reduced
system whose controlling u.e.p. is easier and cheaper to compute. Eff
ective numerical schemes to speed up the presented method are also pro
posed. This method has been tested on several power systems with very
promising results. Simulation results on a 50-generator, 145-bus syste
m are presented along with a comparison between the results obtained u
sing the BCU method and another existing method.