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

doi:10.1587/nolta.13.409

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

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English (US)
Pages (from-to)	409-414
Number of pages	6
Journal	Nonlinear Theory and its Applications, IEICE
Volume	13
Issue number	2
DOIs	https://doi.org/10.1587/nolta.13.409
State	Published - 2022

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering
General Mathematics

Keywords

contribution factor
Koopman operator
nonlinear system
power system

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10.1587/nolta.13.409

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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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AU - Takamichi, Kenji

AU - Susuki, Yoshihiko

AU - Netto, Marcos

AU - Ishigame, Atsushi

N1 - Publisher Copyright: © IEICE 2022.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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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KW - Koopman operator

KW - nonlinear system

KW - power system

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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