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ファイル | 記述 | サイズ | フォーマット | |
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nolta.7.430.pdf | 1.22 MB | Adobe PDF | 見る/開く |
タイトル: | Applied Koopman operator theory for power systems technology |
著者: | Susuki, Yoshihiko https://orcid.org/0000-0003-4701-1199 (unconfirmed) Mezic, Igor Raak, Fredrik Hikihara, Takashi https://orcid.org/0000-0002-0029-4358 (unconfirmed) |
著者名の別形: | 薄, 良彦 引原, 隆士 |
キーワード: | power system nonlinear dynamical system Koopman operator spectrum data-centric Koopman mode |
発行日: | 1-Oct-2016 |
出版者: | Institute of Electronics, Information and Communications Engineers (IEICE) |
誌名: | Nonlinear Theory and Its Applications, IEICE |
巻: | 7 |
号: | 4 |
開始ページ: | 430 |
終了ページ: | 459 |
抄録: | Koopman operator is a composition operator defined for a dynamical system described by nonlinear differential or difference equation. Although the original system is nonlinear and evolves on a finite-dimensional state space, the Koopman operator itself is linear but infinite-dimensional (evolves on a function space). This linear operator captures the full information of the dynamics described by the original nonlinear system. In particular, spectral properties of the Koopman operator play a crucial role in analyzing the original system. In the first part of this paper, we review the so-called Koopman operator theory for nonlinear dynamical systems, with emphasis on modal decomposition and computation that are direct to wide applications. Then, in the second part, we present a series of applications of the Koopman operator theory to power systems technology. The applications are established as data-centric methods, namely, how to use massive quantities of data obtained numerically and experimentally, through spectral analysis of the Koopman operator: coherency identification of swings in coupled synchronous generators, precursor diagnostic of instabilities in the coupled swing dynamics, and stability assessment of power systems without any use of mathematical models. Future problems of this research direction are identified in the last concluding part of this paper. |
著作権等: | © 2016 IEICE |
URI: | http://hdl.handle.net/2433/235216 |
DOI(出版社版): | 10.1587/nolta.7.430 |
出現コレクション: | 学術雑誌掲載論文等 |
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