Passivity-short-based system-wide stability with L2 gain and stabilization of heterogeneous power systems
The problem of decentralized control for overall system stability has received increasing attention due to heterogeneity in power networks. To address this problem, two passivity indices are introduced to characterize the shortage of nonlinear negative imaginary property and $ L_2 $ stability of the...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | SICE Journal of Control, Measurement, and System Integration |
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| Online Access: | http://dx.doi.org/10.1080/18824889.2024.2374123 |
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| _version_ | 1846124700855435264 |
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| author | Heng Kang Toru Namerikawa |
| author_facet | Heng Kang Toru Namerikawa |
| author_sort | Heng Kang |
| collection | DOAJ |
| description | The problem of decentralized control for overall system stability has received increasing attention due to heterogeneity in power networks. To address this problem, two passivity indices are introduced to characterize the shortage of nonlinear negative imaginary property and $ L_2 $ stability of the coupling network. In a modular decomposition, novel passivity-short-based conditions in a decentralized manner are investigated to ensure asymptotically stability of the overall system and $ L_2 $ stability of the network simultaneously, which is so-called system-wide stability with $ L_2 $ gain. Furthermore, the local subsystems are equipped with a linear matrix inequality-based controller, implementing decentralized stabilization. A numerical simulation with three heterogeneous bus dynamics is illustrated to demonstrate the effectiveness of the proposed controller design considering load change and measurement errors, offering insights into system robustness. |
| format | Article |
| id | doaj-art-feb7122e0ff54842bb4fb99236de261a |
| institution | Kabale University |
| issn | 1884-9970 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | SICE Journal of Control, Measurement, and System Integration |
| spelling | doaj-art-feb7122e0ff54842bb4fb99236de261a2024-12-13T15:19:03ZengTaylor & Francis GroupSICE Journal of Control, Measurement, and System Integration1884-99702024-12-0117110.1080/18824889.2024.23741232374123Passivity-short-based system-wide stability with L2 gain and stabilization of heterogeneous power systemsHeng Kang0Toru Namerikawa1Keio UniversityKeio UniversityThe problem of decentralized control for overall system stability has received increasing attention due to heterogeneity in power networks. To address this problem, two passivity indices are introduced to characterize the shortage of nonlinear negative imaginary property and $ L_2 $ stability of the coupling network. In a modular decomposition, novel passivity-short-based conditions in a decentralized manner are investigated to ensure asymptotically stability of the overall system and $ L_2 $ stability of the network simultaneously, which is so-called system-wide stability with $ L_2 $ gain. Furthermore, the local subsystems are equipped with a linear matrix inequality-based controller, implementing decentralized stabilization. A numerical simulation with three heterogeneous bus dynamics is illustrated to demonstrate the effectiveness of the proposed controller design considering load change and measurement errors, offering insights into system robustness.http://dx.doi.org/10.1080/18824889.2024.2374123heterogeneous power systemsnonlinear negative imaginary (ni) propertysystem-wide stability $ l_2 $ stabilitylinear matrix inequality (lmi) |
| spellingShingle | Heng Kang Toru Namerikawa Passivity-short-based system-wide stability with L2 gain and stabilization of heterogeneous power systems SICE Journal of Control, Measurement, and System Integration heterogeneous power systems nonlinear negative imaginary (ni) property system-wide stability $ l_2 $ stability linear matrix inequality (lmi) |
| title | Passivity-short-based system-wide stability with L2 gain and stabilization of heterogeneous power systems |
| title_full | Passivity-short-based system-wide stability with L2 gain and stabilization of heterogeneous power systems |
| title_fullStr | Passivity-short-based system-wide stability with L2 gain and stabilization of heterogeneous power systems |
| title_full_unstemmed | Passivity-short-based system-wide stability with L2 gain and stabilization of heterogeneous power systems |
| title_short | Passivity-short-based system-wide stability with L2 gain and stabilization of heterogeneous power systems |
| title_sort | passivity short based system wide stability with l2 gain and stabilization of heterogeneous power systems |
| topic | heterogeneous power systems nonlinear negative imaginary (ni) property system-wide stability $ l_2 $ stability linear matrix inequality (lmi) |
| url | http://dx.doi.org/10.1080/18824889.2024.2374123 |
| work_keys_str_mv | AT hengkang passivityshortbasedsystemwidestabilitywithl2gainandstabilizationofheterogeneouspowersystems AT torunamerikawa passivityshortbasedsystemwidestabilitywithl2gainandstabilizationofheterogeneouspowersystems |