Dissipativity-Based Stability Analysis of Networked Nonlinear Descriptor Systems and Its Application to Power Grids
This paper pursues to construct a theoretical framework which can efficiently capture the dynamics of large-scale heterogeneous power grids. We formulate a networked nonlinear descriptor system consisting of subsystems and network system as a mathematical abstraction of such grids. This descriptor r...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2019-01-01
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| Series: | SICE Journal of Control, Measurement, and System Integration |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.9746/jcmsi.12.29 |
| _version_ | 1797661019177222144 |
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| author | Chiaki Kojima Yoshihiko Susuki Shinji Hara |
| author_facet | Chiaki Kojima Yoshihiko Susuki Shinji Hara |
| author_sort | Chiaki Kojima |
| collection | DOAJ |
| description | This paper pursues to construct a theoretical framework which can efficiently capture the dynamics of large-scale heterogeneous power grids. We formulate a networked nonlinear descriptor system consisting of subsystems and network system as a mathematical abstraction of such grids. This descriptor representation of the system enables us to consider efficient analysis and control of the system while preserving its network topology. As a main result, we clarify the dissipativity of the systems and derive a sufficient condition for local asymptotic stability of partial states and synchronization based on the dissipativity. We apply these results to a power grid described by a structure-preserving model, showing their effectiveness in an engineering problem. |
| first_indexed | 2024-03-11T18:39:19Z |
| format | Article |
| id | doaj.art-edfaba5c09cd4aad9c3474b98ad5078c |
| institution | Directory Open Access Journal |
| issn | 1884-9970 |
| language | English |
| last_indexed | 2024-03-11T18:39:19Z |
| publishDate | 2019-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | SICE Journal of Control, Measurement, and System Integration |
| spelling | doaj.art-edfaba5c09cd4aad9c3474b98ad5078c2023-10-12T13:43:55ZengTaylor & Francis GroupSICE Journal of Control, Measurement, and System Integration1884-99702019-01-01121293810.9746/jcmsi.12.2912103249Dissipativity-Based Stability Analysis of Networked Nonlinear Descriptor Systems and Its Application to Power GridsChiaki Kojima0Yoshihiko Susuki1Shinji Hara2Department of Electrical and Computer Engineering, Toyama Prefectural UniversityDepartment of Electrical and Information Systems, Osaka Prefecture UniversityResearch and Development Initiative, Chuo UniversityThis paper pursues to construct a theoretical framework which can efficiently capture the dynamics of large-scale heterogeneous power grids. We formulate a networked nonlinear descriptor system consisting of subsystems and network system as a mathematical abstraction of such grids. This descriptor representation of the system enables us to consider efficient analysis and control of the system while preserving its network topology. As a main result, we clarify the dissipativity of the systems and derive a sufficient condition for local asymptotic stability of partial states and synchronization based on the dissipativity. We apply these results to a power grid described by a structure-preserving model, showing their effectiveness in an engineering problem.http://dx.doi.org/10.9746/jcmsi.12.29hierarchical networked systemsdescriptor systemsdissipativitystabilitypower grids |
| spellingShingle | Chiaki Kojima Yoshihiko Susuki Shinji Hara Dissipativity-Based Stability Analysis of Networked Nonlinear Descriptor Systems and Its Application to Power Grids SICE Journal of Control, Measurement, and System Integration hierarchical networked systems descriptor systems dissipativity stability power grids |
| title | Dissipativity-Based Stability Analysis of Networked Nonlinear Descriptor Systems and Its Application to Power Grids |
| title_full | Dissipativity-Based Stability Analysis of Networked Nonlinear Descriptor Systems and Its Application to Power Grids |
| title_fullStr | Dissipativity-Based Stability Analysis of Networked Nonlinear Descriptor Systems and Its Application to Power Grids |
| title_full_unstemmed | Dissipativity-Based Stability Analysis of Networked Nonlinear Descriptor Systems and Its Application to Power Grids |
| title_short | Dissipativity-Based Stability Analysis of Networked Nonlinear Descriptor Systems and Its Application to Power Grids |
| title_sort | dissipativity based stability analysis of networked nonlinear descriptor systems and its application to power grids |
| topic | hierarchical networked systems descriptor systems dissipativity stability power grids |
| url | http://dx.doi.org/10.9746/jcmsi.12.29 |
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