Robust Stability of DC Microgrid Under Distributed Control
Compared with AC microgrid, DC microgrid has attracted more and more attention due to their high reliability and simple control. In this paper, we analyze the existence and stability of equilibrium of DC microgrid under distributed control. Firstly, the power-flow equation of the DC microgrid with &...
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9885194/ |
| _version_ | 1828110734128578560 |
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| author | Zhangjie Liu Jiawei Li |
| author_facet | Zhangjie Liu Jiawei Li |
| author_sort | Zhangjie Liu |
| collection | DOAJ |
| description | Compared with AC microgrid, DC microgrid has attracted more and more attention due to their high reliability and simple control. In this paper, we analyze the existence and stability of equilibrium of DC microgrid under distributed control. Firstly, the power-flow equation of the DC microgrid with <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula> DGs and <inline-formula> <tex-math notation="LaTeX">$m$ </tex-math></inline-formula> CPLs is built. On this basis, under the limitation of currents of DGs, the sufficient solvability conditions are obtained based on Brouwer’s fixed-point theorem. Secondly, we build the small-signal model to forecast the system qualitative behavior around equilibrium. The eigenvalue analysis based on inertial theorem provides the analysis basis for system stability, then we obtain the robust stability condition based on the properties of a special matrix. The obtained stability conditions provide a reference for establishing a stable DC microgrid. Lastly, simulation results verify the correctness of the proposed theorems. |
| first_indexed | 2024-04-11T11:23:56Z |
| format | Article |
| id | doaj.art-95b733f13c064f48852b11e013286d51 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-11T11:23:56Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-95b733f13c064f48852b11e013286d512022-12-22T04:26:27ZengIEEEIEEE Access2169-35362022-01-0110978889789610.1109/ACCESS.2022.32056159885194Robust Stability of DC Microgrid Under Distributed ControlZhangjie Liu0https://orcid.org/0000-0001-9594-0502Jiawei Li1School of Automation, Central South University, Changsha, ChinaSchool of Automation, Central South University, Changsha, ChinaCompared with AC microgrid, DC microgrid has attracted more and more attention due to their high reliability and simple control. In this paper, we analyze the existence and stability of equilibrium of DC microgrid under distributed control. Firstly, the power-flow equation of the DC microgrid with <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula> DGs and <inline-formula> <tex-math notation="LaTeX">$m$ </tex-math></inline-formula> CPLs is built. On this basis, under the limitation of currents of DGs, the sufficient solvability conditions are obtained based on Brouwer’s fixed-point theorem. Secondly, we build the small-signal model to forecast the system qualitative behavior around equilibrium. The eigenvalue analysis based on inertial theorem provides the analysis basis for system stability, then we obtain the robust stability condition based on the properties of a special matrix. The obtained stability conditions provide a reference for establishing a stable DC microgrid. Lastly, simulation results verify the correctness of the proposed theorems.https://ieeexplore.ieee.org/document/9885194/Distributed controlsolvability conditioninertia theoremrobust stability |
| spellingShingle | Zhangjie Liu Jiawei Li Robust Stability of DC Microgrid Under Distributed Control IEEE Access Distributed control solvability condition inertia theorem robust stability |
| title | Robust Stability of DC Microgrid Under Distributed Control |
| title_full | Robust Stability of DC Microgrid Under Distributed Control |
| title_fullStr | Robust Stability of DC Microgrid Under Distributed Control |
| title_full_unstemmed | Robust Stability of DC Microgrid Under Distributed Control |
| title_short | Robust Stability of DC Microgrid Under Distributed Control |
| title_sort | robust stability of dc microgrid under distributed control |
| topic | Distributed control solvability condition inertia theorem robust stability |
| url | https://ieeexplore.ieee.org/document/9885194/ |
| work_keys_str_mv | AT zhangjieliu robuststabilityofdcmicrogridunderdistributedcontrol AT jiaweili robuststabilityofdcmicrogridunderdistributedcontrol |