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

Fingerprint

Power Flow
Newton-Raphson
Nonlinear equations
Fixed point
Saddle-node Bifurcation
Gauss-Seidel
Formulation
Bifurcation Point
Nonlinear Equations
Form
Class

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

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

The Holmorphic Embedding Applied to a Newton Raphson Power Flow Formulation. / Rao, Shruti Dwarkanath; Li, Songyan; Tylavsky, Daniel; Shi, Di.

2018 North American Power Symposium, NAPS 2018. Institute of Electrical and Electronics Engineers Inc., 2019. 8600649 (2018 North American Power Symposium, NAPS 2018).

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

Rao, SD, 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., 2018 North American Power Symposium, NAPS 2018, Fargo, United States, 9/9/18. https://doi.org/10.1109/NAPS.2018.8600649
Rao SD, Li S, Tylavsky D, Shi D. The Holmorphic Embedding Applied to a Newton Raphson Power Flow Formulation. In 2018 North American Power Symposium, NAPS 2018. Institute of Electrical and Electronics Engineers Inc. 2019. 8600649. (2018 North American Power Symposium, NAPS 2018). https://doi.org/10.1109/NAPS.2018.8600649
Rao, Shruti Dwarkanath ; Li, Songyan ; Tylavsky, Daniel ; Shi, Di. / The Holmorphic Embedding Applied to a Newton Raphson Power Flow Formulation. 2018 North American Power Symposium, NAPS 2018. Institute of Electrical and Electronics Engineers Inc., 2019. (2018 North American Power Symposium, NAPS 2018).
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