On the Stability of Networked Nonlinear Negative Imaginary Systems with Applications to Electrical Power Systems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917718973743104 |
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| author | Chen, Yijun Shi, Kanghong Petersen, Ian R. Ratnam, Elizabeth L. |
| author_facet | Chen, Yijun Shi, Kanghong Petersen, Ian R. Ratnam, Elizabeth L. |
| contents | In the transition to achieving net zero emissions, it has been suggested that a substantial expansion of electric power grids will be necessary to support emerging renewable energy zones. In this paper, we propose employing battery-based feedback control and nonlinear negative imaginary (NI) systems theory to reduce the need for such expansion. By formulating a novel Luré-Postnikov-like Lyapunov function, stability results are presented for the feedback interconnection of two single nonlinear NI systems, while output feedback consensus results are established for the feedback interconnection of two networked nonlinear NI systems based on a network topology. This theoretical framework underpins our design of battery-based control in power transmission systems. We demonstrate that the power grid can be gradually transitioned into the proposed NI systems, one transmission line at a time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01206 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Stability of Networked Nonlinear Negative Imaginary Systems with Applications to Electrical Power Systems Chen, Yijun Shi, Kanghong Petersen, Ian R. Ratnam, Elizabeth L. Systems and Control In the transition to achieving net zero emissions, it has been suggested that a substantial expansion of electric power grids will be necessary to support emerging renewable energy zones. In this paper, we propose employing battery-based feedback control and nonlinear negative imaginary (NI) systems theory to reduce the need for such expansion. By formulating a novel Luré-Postnikov-like Lyapunov function, stability results are presented for the feedback interconnection of two single nonlinear NI systems, while output feedback consensus results are established for the feedback interconnection of two networked nonlinear NI systems based on a network topology. This theoretical framework underpins our design of battery-based control in power transmission systems. We demonstrate that the power grid can be gradually transitioned into the proposed NI systems, one transmission line at a time. |
| title | On the Stability of Networked Nonlinear Negative Imaginary Systems with Applications to Electrical Power Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2406.01206 |