TY - GEN
T1 - A novel method to converge to the unstable equilibrium point for a two-bus system
AU - Feng, Yang
AU - Tylavsky, Daniel
PY - 2013
Y1 - 2013
N2 - This paper presents a novel method for calculating the unstable equilibrium point (UEP) for a two-bus system using holomorphic embedding (HE). The method is guaranteed to find the UEP solution. The focus of this paper is to prove mathematically that if a UEP solution exists, the method is guaranteed to arrive at that and only that solution and if no solution exists, then such is indicated by the oscillations is the series form of the solution. While there is limited interest in the solution to a two-bus problem, this is hopefully a first fruitful step that can eventually be generalized to the multi-bus problem and, possibly, other non-linear equations.
AB - This paper presents a novel method for calculating the unstable equilibrium point (UEP) for a two-bus system using holomorphic embedding (HE). The method is guaranteed to find the UEP solution. The focus of this paper is to prove mathematically that if a UEP solution exists, the method is guaranteed to arrive at that and only that solution and if no solution exists, then such is indicated by the oscillations is the series form of the solution. While there is limited interest in the solution to a two-bus problem, this is hopefully a first fruitful step that can eventually be generalized to the multi-bus problem and, possibly, other non-linear equations.
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U2 - 10.1109/NAPS.2013.6666844
DO - 10.1109/NAPS.2013.6666844
M3 - Conference contribution
AN - SCOPUS:84893292380
SN - 9781479912551
T3 - 45th North American Power Symposium, NAPS 2013
BT - 45th North American Power Symposium, NAPS 2013
T2 - 45th North American Power Symposium, NAPS 2013
Y2 - 22 September 2013 through 24 September 2013
ER -