Characterization of nonlinear modal interaction using normal forms and hilbert analysis

S. Liu, A. R. Messina, V. Vittal

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

8 Scopus citations

Abstract

In this paper, normal form (NF) theory and Hilbert-spectral analysis are used to characterize and quantify nonlinear modal interaction in stressed power systems. The method of NF is utilized to obtain a second-order approximation to system behavior following large disturbances. Based on this representation, nonlinear interaction measures are obtained to assess the extent and distribution of nonlinearity in the system. Hilbert spectral analysis is then applied to characterize and quantify the time evolution of the modulation process directly from the simulated power system data obtained from transient stability simulations as well as to validate normal form results. The use of the analysis methods is demonstrated on a 11-bus, 4-machine test system. Examples of application of the developed approaches are given to determine the strength of nonlinear interactions in power system behavior, and estimating the distribution of nonlinearity in the system states. The results of the simulations show that the combined application of these techniques leads to a more in depth analysis of system behavior.

Original languageEnglish (US)
Title of host publication2004 IEEE PES Power Systems Conference and Exposition
Pages1113-1118
Number of pages6
StatePublished - Dec 1 2004
Externally publishedYes
Event2004 IEEE PES Power Systems Conference and Exposition - New York, NY, United States
Duration: Oct 10 2004Oct 13 2004

Publication series

Name2004 IEEE PES Power Systems Conference and Exposition
Volume2

Other

Other2004 IEEE PES Power Systems Conference and Exposition
CountryUnited States
CityNew York, NY
Period10/10/0410/13/04

Keywords

  • Nonlinear systems
  • Power system dynamic stability
  • Spectral analysis

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Liu, S., Messina, A. R., & Vittal, V. (2004). Characterization of nonlinear modal interaction using normal forms and hilbert analysis. In 2004 IEEE PES Power Systems Conference and Exposition (pp. 1113-1118). (2004 IEEE PES Power Systems Conference and Exposition; Vol. 2).