Development of floquet multiplier estimator to determine nonlinear oscillatory behavior in power system data measurement

Namki Choi, Hwanhee Cho, Byong Jun Lee

Research output: Contribution to journalArticle


Measurement-based technology has been developed in the area of power transmission systems with phasor measurement units (PMU). Using high-resolution PMU data, the oscillatory behavior of power systems from general electromagnetic oscillations to sub-synchronous resonances can be observed. Studying oscillations in power systems is important to obtain information about the orbital stability of the system. Floquet multipliers calculation is based on a mathematical model to determine the orbital stability of a system with the existence of stable or unstable periodic solutions. In this paper, we have developed a model-free method to estimate Floquet multipliers using time series data. A comparative study between calculated and estimated Floquet multipliers has been performed to validate the proposed method. The results are provided for a sample three-bus power system network and the system integrated with a doubly fed induction generator.

Original languageEnglish
Article number1824
Issue number10
Publication statusPublished - 2019 Jan 1



  • DFIG
  • Floquet multiplier
  • Poincaré map
  • Power systems
  • Time series data

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Energy Engineering and Power Technology
  • Energy (miscellaneous)
  • Control and Optimization
  • Electrical and Electronic Engineering

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