Analyzing dynamic performance of power systems over parameter space using normal forms of vector fields. Part I: Identification of vulnerable regions

Songzhe Zhu, Vijay Vittal, Wolfgang Kliemann

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

1 Citation (Scopus)

Abstract

This is the first part of a two-part paper discussing the dynamic performance of power systems over parameter space using the method of normal forms. A new normal form transformation is derived under the second order resonance condition. By using the resonance condition as a guide to indicate detrimental system dynamic performance, the authors propose a computationally efficient method to study the system under varying parameters. An approach to determine the resonance and near-resonance region in the parameter space is developed. For the resonance case, conclusions are drawn by simply examining the analytic solutions. For the near-resonance case, the machine states showing poor performance can be found by tracing the dominant nonlinear modal interaction and mode-machine interaction. The method is tested on the IEEE 50-generator system. The results reveal many interesting characteristics of the system related to resonance and near-resonance, which validates the effectiveness of the method as a useful analytical tool for system operation and design. Further work on quantifying the effect of the modal interactions on the machine states is presented in Part II.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Power Engineering Society Transmission and Distribution Conference
Pages1301
Number of pages1
Volume3
EditionSUMMER
StatePublished - 2001
Externally publishedYes
Event2001 IEEE Power Engineering Society Summer Meeting - Vancouver, BC, Canada
Duration: Jul 15 2001Jul 19 2001

Other

Other2001 IEEE Power Engineering Society Summer Meeting
CountryCanada
CityVancouver, BC
Period7/15/017/19/01

Fingerprint

Dynamical systems

Keywords

  • Nonlinear analysis
  • Normal forms
  • Power system dynamics

ASJC Scopus subject areas

  • Energy(all)
  • Engineering(all)

Cite this

Zhu, S., Vittal, V., & Kliemann, W. (2001). Analyzing dynamic performance of power systems over parameter space using normal forms of vector fields. Part I: Identification of vulnerable regions. In Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference (SUMMER ed., Vol. 3, pp. 1301)

Analyzing dynamic performance of power systems over parameter space using normal forms of vector fields. Part I : Identification of vulnerable regions. / Zhu, Songzhe; Vittal, Vijay; Kliemann, Wolfgang.

Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference. Vol. 3 SUMMER. ed. 2001. p. 1301.

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

Zhu, S, Vittal, V & Kliemann, W 2001, Analyzing dynamic performance of power systems over parameter space using normal forms of vector fields. Part I: Identification of vulnerable regions. in Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference. SUMMER edn, vol. 3, pp. 1301, 2001 IEEE Power Engineering Society Summer Meeting, Vancouver, BC, Canada, 7/15/01.
Zhu S, Vittal V, Kliemann W. Analyzing dynamic performance of power systems over parameter space using normal forms of vector fields. Part I: Identification of vulnerable regions. In Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference. SUMMER ed. Vol. 3. 2001. p. 1301
Zhu, Songzhe ; Vittal, Vijay ; Kliemann, Wolfgang. / Analyzing dynamic performance of power systems over parameter space using normal forms of vector fields. Part I : Identification of vulnerable regions. Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference. Vol. 3 SUMMER. ed. 2001. pp. 1301
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