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

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