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Development of Floquet Multiplier Estimator to Determine Nonlinear Oscillatory Behavior in Power System Data Measurement

Author

Listed:
  • Namki Choi

    (School of Electrical Engineering, Anam Campus, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, Korea)

  • Hwanhee Cho

    (School of Electrical Engineering, Anam Campus, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, Korea)

  • Byongjun Lee

    (School of Electrical Engineering, Anam Campus, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, Korea)

Abstract

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.

Suggested Citation

  • Namki Choi & Hwanhee Cho & Byongjun Lee, 2019. "Development of Floquet Multiplier Estimator to Determine Nonlinear Oscillatory Behavior in Power System Data Measurement," Energies, MDPI, vol. 12(10), pages 1-18, May.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:10:p:1824-:d:230915
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    References listed on IDEAS

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    1. Jooeun Ahn & Neville Hogan, 2015. "Improved Assessment of Orbital Stability of Rhythmic Motion with Noise," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-12, March.
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