论文标题

基于Koopman运营商及其应用于电力系统分析的状态模式贡献因素

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

论文作者

Takamichi, Kenji, Susuki, Yoshihiko, Netto, Marcos, Ishigame, Atsushi

论文摘要

本文通过利用Koopman操作员的光谱和灵敏度分析,提出了一类非线性动态系统的状态贡献因素。使用Koopman运算符的本征函数作为目标非线性系统,我们表明,模式和状态变量之间的相对贡献可以在线性方向上进行量化,在线性方面,该系统的非线性被考虑。提出的贡献因子应用于互连的AC/多末端直流电源系统的大信号模拟的数值分析。

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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