Journal
IEICE NONLINEAR THEORY AND ITS APPLICATIONS
Volume 13, Issue 2, Pages 409-414Publisher
IEICE-INST ELECTRONICS INFORMATION COMMUNICATION ENGINEERS
DOI: 10.1587/nolta.13.409
Keywords
nonlinear system; Koopman operator; contribution factor; power system
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Funding
- JST-PRESTO [JPMJPR1926]
- JST-SICORP [JPMJSC17C2]
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This paper proposes a method for determining the contribution factor of state modes in a class of nonlinear dynamical systems using the spectral properties of the Koopman operator and sensitivity analysis. The method is applied to the numerical analysis of large-signal simulations for an interconnected AC/multi-terminal DC power system.
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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