A novel method to converge to the unstable equilibrium point for a two-bus system

Yang Feng, Daniel Tylavsky

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Title of host publication45th North American Power Symposium, NAPS 2013
DOIs
StatePublished - 2013
Event45th North American Power Symposium, NAPS 2013 - Manhattan, KS, United States
Duration: Sep 22 2013Sep 24 2013

Other

Other45th North American Power Symposium, NAPS 2013
CountryUnited States
CityManhattan, KS
Period9/22/139/24/13

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Nonlinear equations

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Fuel Technology

Cite this

A novel method to converge to the unstable equilibrium point for a two-bus system. / Feng, Yang; Tylavsky, Daniel.

45th North American Power Symposium, NAPS 2013. 2013. 6666844.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Feng, Y & Tylavsky, D 2013, A novel method to converge to the unstable equilibrium point for a two-bus system. in 45th North American Power Symposium, NAPS 2013., 6666844, 45th North American Power Symposium, NAPS 2013, Manhattan, KS, United States, 9/22/13. https://doi.org/10.1109/NAPS.2013.6666844
Feng, Yang ; Tylavsky, Daniel. / A novel method to converge to the unstable equilibrium point for a two-bus system. 45th North American Power Symposium, NAPS 2013. 2013.
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