Estimating nonlinear system effects on control performance: A normal form approach

Shu Liu, A. R. Messina, Vijay Vittal

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

Abstract

This paper examines the use of normal form theory to investigate the effects of mode interaction induced by nonlinearity on control performance and design. A general nonlinear analysis procedure based on normal form theory is developed that exploits the nonlinear system structure and closed-form system information provided by normal form analysis to investigate the significance of nonlinear effects in assessing both the location and performance of system controllers. The method generalizes previous power system normal form representations and is expected to provide the basis for more accurate characterization of various aspects affecting control performance and design. Preliminary results of the application of the method to assess placement of PSSs and nonlinear behavior are presented. Examples of the application of the developed approaches on an IEEE 50-generator test system are presented to estimate and interpret the importance of the role of mode interaction in the analysis and location of Power System Stabilizers (PSSs) to aid damping of inter-area oscillations.

Original languageEnglish (US)
Title of host publication2006 IEEE PES Power Systems Conference and Exposition, PSCE 2006 - Proceedings
Pages1291-1298
Number of pages8
DOIs
StatePublished - 2006
Event2006 IEEE PES Power Systems Conference and Exposition, PSCE 2006 - Atlanta, GA, United States
Duration: Oct 29 2006Nov 1 2006

Publication series

Name2006 IEEE PES Power Systems Conference and Exposition, PSCE 2006 - Proceedings

Other

Other2006 IEEE PES Power Systems Conference and Exposition, PSCE 2006
Country/TerritoryUnited States
CityAtlanta, GA
Period10/29/0611/1/06

Keywords

  • Nonlinear systems
  • Normal forms
  • Power system small signal stability

ASJC Scopus subject areas

  • Energy Engineering and Power Technology

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