Convergence characteristics of the variable projection method for mode extraction

Adam B. Birchfield, Thomas J. Overbye

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

Abstract

This paper reviews the variable projection method (VPM) for power system modal analysis and analyzes the method's convergence characteristics. The purpose of the VPM and other modal analysis tools is to decompose time series data into damped or undamped sinusoidal components, which provide insights into the dynamics of a measured or simulated disturbance. The paper gives five example cases of modal analysis with VPM, varying in size from a single synthetic signal to a 30-signal, 7-mode data set from simulations of a large actual power system. The analysis provides an initial indication that the VPM often finds a solution close to the matrix pencil initialization, and that the method's convergence speed can vary. While the inner loop of the method, the line search, is robust and quick, the outer VPM loop sometimes converges linearly or slower, requiring hundreds of iterations. Simpler cases with fewer modes tend to have a more consistent convergence, and are less sensitive to the initial modes selected.

Original languageEnglish (US)
Title of host publication2017 IEEE Texas Power and Energy Conference, TPEC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509066179
DOIs
StatePublished - Mar 1 2017
Event2017 IEEE Texas Power and Energy Conference, TPEC 2017 - College Station, United States
Duration: Feb 9 2017Feb 10 2017

Publication series

Name2017 IEEE Texas Power and Energy Conference, TPEC 2017

Other

Other2017 IEEE Texas Power and Energy Conference, TPEC 2017
CountryUnited States
CityCollege Station
Period2/9/172/10/17

Keywords

  • Power system dynamics
  • convergence
  • modal analysis
  • power system transient stability
  • variable projection method

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Fuel Technology

Fingerprint Dive into the research topics of 'Convergence characteristics of the variable projection method for mode extraction'. Together they form a unique fingerprint.

  • Cite this

    Birchfield, A. B., & Overbye, T. J. (2017). Convergence characteristics of the variable projection method for mode extraction. In 2017 IEEE Texas Power and Energy Conference, TPEC 2017 [7868265] (2017 IEEE Texas Power and Energy Conference, TPEC 2017). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/TPEC.2017.7868265