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arXiv · 2205.10984

A mode-in-state contribution factor based on Koopman operator and its application to power system analysis

Kenji Takamichi·Yoshihiko Susuki·Marcos Netto·Atsushi Ishigame
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Abstract

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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Kenji Takamichi, Yoshihiko Susuki, Marcos Netto, Atsushi Ishigame. 2022-05-23. A mode-in-state contribution factor based on Koopman operator and its application to power system analysis. https://doi.org/10.1587/nolta.13.409

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