期刊
IEEE CONTROL SYSTEMS LETTERS
卷 3, 期 1, 页码 198-203出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LCSYS.2018.2871887
关键词
Koopman mode decomposition; modal analysis; modal participation factors; nonlinear systems; stability
资金
- CAPES Foundation, Ministry of Education of Brazil [BEX13594/13-3]
- JSPS KAKENHI [15H03964]
This letter develops a novel data-driven technique to compute the participation factors for nonlinear systems based on the Koopman mode decomposition. Provided that certain conditions are satisfied, it is shown that the proposed technique generalizes the original definition of the linear mode-in-state participation factors. Two numerical examples are provided to demonstrate the performance of our approach: one relying on a canonical nonlinear dynamical system, and the other based on the two-area four-machine power system. The Koopman mode decomposition is capable of coping with a large class of nonlinearity, thereby making our technique able to deal with oscillations arising in practice due to nonlinearities while being fast to compute and compatible with real-time applications.
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