The Holmorphic Embedding Applied to a Newton Raphson Power Flow Formulation

Shruti Dwarkanath Rao, Songyan Li, Daniel Tylavsky, Di Shi

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

Abstract

A class of nonlinear equation solvers known as the holomorphically embedding method, when applied to the power-flow problem is theoretically guaranteed to find an operable solution to the power-flow problem, if one exists, provided rather mild conditions are satisfied. To date, all of the published approaches use a Gauss-Seidel-based fixed-point form as the starting point for the embedding. We show that a fixed-point form based on a Newton-Raphson scheme may also be use and has some advantageous properties when attempting to find the saddle-node bifurcation point (SNBP).

Original languageEnglish (US)
Title of host publication2018 North American Power Symposium, NAPS 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781538671382
DOIs
StatePublished - Jan 2 2019
Event2018 North American Power Symposium, NAPS 2018 - Fargo, United States
Duration: Sep 9 2018Sep 11 2018

Publication series

Name2018 North American Power Symposium, NAPS 2018

Conference

Conference2018 North American Power Symposium, NAPS 2018
CountryUnited States
CityFargo
Period9/9/189/11/18

Keywords

  • Holomorphic Embedding Method
  • Newton-Raphson
  • Power Flow
  • Saddle-Node Bifurcation Point

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering
  • Control and Optimization

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  • Cite this

    Rao, S. D., Li, S., Tylavsky, D., & Shi, D. (2019). The Holmorphic Embedding Applied to a Newton Raphson Power Flow Formulation. In 2018 North American Power Symposium, NAPS 2018 [8600649] (2018 North American Power Symposium, NAPS 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/NAPS.2018.8600649