Analyzing dynamic performance of power systems over parameter space using normal forms of vector fields - Part II: Comparison of the system structure

Songzhe Zhu, Vijay Vittal, Wolfgang Kliemann

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


This is part II of a two-part paper dealing with dynamic performance of power systems over the parameter space. The companion paper (part I) proposes an approach to identify unfavorable operating regions by searching for resonance and near-resonance. The results show that near-resonance among critical inertial modes and control modes may contribute to the unsatisfactory behavior of the system. In this paper, the effect of strong nonlinear modal interactions on machine states is quantified. A new index is derived to measure the relative severity of the near-resonance. The linear and nonlinear characteristics of the system are separated and correlated to the transient stability of the system.

Original languageEnglish (US)
Pages (from-to)451-455
Number of pages5
JournalIEEE Transactions on Power Systems
Issue number3
StatePublished - Aug 2001
Externally publishedYes


  • Nonlinear analysis
  • Normal forms
  • Power system dynamics

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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