Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Special Section on Nonlinear Science Workshop on the Journal
A mode-in-state contribution factor based on Koopman operator and its application to power system analysis
Kenji TakamichiYoshihiko SusukiMarcos NettoAtsushi Ishigame
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2022 Volume 13 Issue 2 Pages 409-414


This paper proposes a mode-in-state contribution factor for a class of nonlinear dynamical systems by utilizing spectral properties of the Koopman operator and sensitivity analysis. Using eigenfunctions of the Koopman operator for a target nonlinear system, we show that the relative contribution between modes and state variables can be quantified beyond a linear regime, where the nonlinearity of the system is taken into consideration. The proposed contribution factor is applied to the numerical analysis of large-signal simulations for an interconnected AC/multi-terminal DC power system.

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