Fast Weak-Bus and Bifurcation Point Determination using Holomorphic Embedding Method

Shruti Rao, Daniel Tylavsky, Vijay Vittal, Weili Yi, Di Shi, Zhiwei Wang

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

Abstract

A new method of solving the power-flow problem, the holomorphically embedded load-flow method (HELM) is theoretically guaranteed to find the high-voltage solution, if one exists, up to the saddle-node bifurcation point (SNBP), provided sufficient precision is used and the conditions of Stahl's theorem are satisfied. Sigma (σ) indices, have been proposed as estimators of the distance from the present operating point to the SNBP, and indicators of the weak buses in a system. This paper investigates the theoretical foundation of the σ method and shows that the σ condition proposed in [10] will not produce reliable results and that a modified requirement can be used to produce a tight upper bound on the SNBP. A new HEM-based method is then proposed that can be used to estimate the weak buses in a system (from a steady-state voltage stability perspective) at all operating points through to the SNBP, using a single power-flow solution. Numerical results for the proposed approach are compared to traditional modal analysis for the IEEE 14-bus and 118-bus systems.

Original languageEnglish (US)
Title of host publication2018 IEEE Power and Energy Society General Meeting, PESGM 2018
PublisherIEEE Computer Society
ISBN (Electronic)9781538677032
DOIs
StatePublished - Dec 21 2018
Event2018 IEEE Power and Energy Society General Meeting, PESGM 2018 - Portland, United States
Duration: Aug 5 2018Aug 10 2018

Publication series

NameIEEE Power and Energy Society General Meeting
Volume2018-August
ISSN (Print)1944-9925
ISSN (Electronic)1944-9933

Other

Other2018 IEEE Power and Energy Society General Meeting, PESGM 2018
CountryUnited States
CityPortland
Period8/5/188/10/18

Keywords

  • Analytic continuation
  • Holomorphic embedding
  • Power-flow
  • Sigma algebraic approximants

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Nuclear Energy and Engineering
  • Renewable Energy, Sustainability and the Environment
  • Electrical and Electronic Engineering

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    Rao, S., Tylavsky, D., Vittal, V., Yi, W., Shi, D., & Wang, Z. (2018). Fast Weak-Bus and Bifurcation Point Determination using Holomorphic Embedding Method. In 2018 IEEE Power and Energy Society General Meeting, PESGM 2018 [8585996] (IEEE Power and Energy Society General Meeting; Vol. 2018-August). IEEE Computer Society. https://doi.org/10.1109/PESGM.2018.8585996