Robust Padé Approximation Applied to the Holomorphic Embedded Power Flow Algorithm

Songyan Li, Qirui Li, Daniel Tylavsky, Di Shi

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

Abstract

The holomorphic embedding method (HEM) applied to the power flow problem has more robust performance than the Newton-Raphson method. But as the saddle-node bifurcation point (SNBP) is approached, more terms must be included in the Maclaurin series representation of the voltage to achieve a converged solution, leading to matrices that are ill-conditioned. This ill-conditioning may prevent HEM from converging or may interfere with the ability to predict the SNBP using the so-called roots method. In this paper, we look at the effect of the robust Padé approximation (RPA) method on both of these issues.

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 method
Saddle-node Bifurcation
Bifurcation Point
Electric potential
Approximation
Maclaurin series
Ill-conditioning
Robust Performance
Series Representation
Robust Methods
Approximation Methods
Voltage
Roots
Predict
Term

Keywords

  • Holomorphic Embedding Method
  • Padé Approximant via SVD
  • Power Flow
  • Singular-value decomposition

ASJC Scopus subject areas

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

Cite this

Li, S., Li, Q., Tylavsky, D., & Shi, D. (2019). Robust Padé Approximation Applied to the Holomorphic Embedded Power Flow Algorithm. In 2018 North American Power Symposium, NAPS 2018 [8600538] (2018 North American Power Symposium, NAPS 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/NAPS.2018.8600538

Robust Padé Approximation Applied to the Holomorphic Embedded Power Flow Algorithm. / Li, Songyan; Li, Qirui; Tylavsky, Daniel; Shi, Di.

2018 North American Power Symposium, NAPS 2018. Institute of Electrical and Electronics Engineers Inc., 2019. 8600538 (2018 North American Power Symposium, NAPS 2018).

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

Li, S, Li, Q, Tylavsky, D & Shi, D 2019, Robust Padé Approximation Applied to the Holomorphic Embedded Power Flow Algorithm. in 2018 North American Power Symposium, NAPS 2018., 8600538, 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.2018.8600538
Li S, Li Q, Tylavsky D, Shi D. Robust Padé Approximation Applied to the Holomorphic Embedded Power Flow Algorithm. In 2018 North American Power Symposium, NAPS 2018. Institute of Electrical and Electronics Engineers Inc. 2019. 8600538. (2018 North American Power Symposium, NAPS 2018). https://doi.org/10.1109/NAPS.2018.8600538
Li, Songyan ; Li, Qirui ; Tylavsky, Daniel ; Shi, Di. / Robust Padé Approximation Applied to the Holomorphic Embedded Power Flow Algorithm. 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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