Modeling and Control of AC Microgrids Under Unbalanced Utility Grid Voltage Using the Invariant-Ellipsoid Method
The increasing penetration of renewable microgrids (MGs) into utility grids (UGs) has introduced new stability and power quality challenges, especially under the unbalanced voltage of the utility grid. This paper presents a novel approach for modelling and controlling AC microgrids (MGs) influenced...
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2025-01-01
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| Online Access: | https://ieeexplore.ieee.org/document/10896638/ |
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| author | Hilmy Awad Ehab H. E. Bayoumi Hisham M. Soliman Michele de Santis Paola Verde |
| author_facet | Hilmy Awad Ehab H. E. Bayoumi Hisham M. Soliman Michele de Santis Paola Verde |
| author_sort | Hilmy Awad |
| collection | DOAJ |
| description | The increasing penetration of renewable microgrids (MGs) into utility grids (UGs) has introduced new stability and power quality challenges, especially under the unbalanced voltage of the utility grid. This paper presents a novel approach for modelling and controlling AC microgrids (MGs) influenced by unbalanced utility grid voltages, emphasizing inverter-based resources (IBRs). The proposed control design is based on the application of the invariant-ellipsoid method for disturbance rejection. In the presence of asymmetrical power exchange between the microgrid and utility grid, a negative-sequence rejection strategy is applied to ensure that the power transactions remain balanced. This study investigates two operational modes: 1) the MG feeds power to the UG (grid forming), and 2) the opposite mode (grid feeding). A simulation verification was conducted to assess the performance of the invariant-ellipsoid disturbance rejection method. Additionally, a comparison between the proposed invariant-ellipsoid tracker and a traditional H<inline-formula> <tex-math notation="LaTeX">$\infty $ </tex-math></inline-formula> control strategy highlights the efficacy of the former in mitigating UG unbalanced voltage issues while reducing computational complexity. The results demonstrate that the invariant-ellipsoid approach provides robust performance under various unbalanced scenarios with improved dynamic response and reduced oscillations in the delivered power. |
| format | Article |
| id | doaj-art-6484a8d8603f474e8ecd8ca977b11281 |
| institution | DOAJ |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
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| series | IEEE Access |
| spelling | doaj-art-6484a8d8603f474e8ecd8ca977b112812025-08-20T03:11:14ZengIEEEIEEE Access2169-35362025-01-0113344093443410.1109/ACCESS.2025.354413610896638Modeling and Control of AC Microgrids Under Unbalanced Utility Grid Voltage Using the Invariant-Ellipsoid MethodHilmy Awad0https://orcid.org/0000-0003-0926-3889Ehab H. E. Bayoumi1https://orcid.org/0000-0002-3131-5043Hisham M. Soliman2https://orcid.org/0000-0001-6126-9132Michele de Santis3https://orcid.org/0000-0002-4058-1722Paola Verde4https://orcid.org/0000-0001-5932-9319Department of Electrical Technology, Faculty of Technology and Education, Helwan University, Cairo, EgyptDepartment of Electrical Engineering, Faculty of Engineering and Technology, University of Botswana, Gaborone, BotswanaDepartment of Electrical Power Engineering, Faculty of Engineering, Cairo University, Cairo, EgyptDepartment of Engineering, University of Campania “Luigi Vanvitelli,”, Aversa, ItalyDepartment of Electrical and Information Engineering “Maurizio Scarano,”, University of Cassino and Southern Lazio, Cassino, ItalyThe increasing penetration of renewable microgrids (MGs) into utility grids (UGs) has introduced new stability and power quality challenges, especially under the unbalanced voltage of the utility grid. This paper presents a novel approach for modelling and controlling AC microgrids (MGs) influenced by unbalanced utility grid voltages, emphasizing inverter-based resources (IBRs). The proposed control design is based on the application of the invariant-ellipsoid method for disturbance rejection. In the presence of asymmetrical power exchange between the microgrid and utility grid, a negative-sequence rejection strategy is applied to ensure that the power transactions remain balanced. This study investigates two operational modes: 1) the MG feeds power to the UG (grid forming), and 2) the opposite mode (grid feeding). A simulation verification was conducted to assess the performance of the invariant-ellipsoid disturbance rejection method. Additionally, a comparison between the proposed invariant-ellipsoid tracker and a traditional H<inline-formula> <tex-math notation="LaTeX">$\infty $ </tex-math></inline-formula> control strategy highlights the efficacy of the former in mitigating UG unbalanced voltage issues while reducing computational complexity. The results demonstrate that the invariant-ellipsoid approach provides robust performance under various unbalanced scenarios with improved dynamic response and reduced oscillations in the delivered power.https://ieeexplore.ieee.org/document/10896638/Renewable microgridsunbalanced utility gridgrid feedinggrid formingdisturbance rejection technique |
| spellingShingle | Hilmy Awad Ehab H. E. Bayoumi Hisham M. Soliman Michele de Santis Paola Verde Modeling and Control of AC Microgrids Under Unbalanced Utility Grid Voltage Using the Invariant-Ellipsoid Method IEEE Access Renewable microgrids unbalanced utility grid grid feeding grid forming disturbance rejection technique |
| title | Modeling and Control of AC Microgrids Under Unbalanced Utility Grid Voltage Using the Invariant-Ellipsoid Method |
| title_full | Modeling and Control of AC Microgrids Under Unbalanced Utility Grid Voltage Using the Invariant-Ellipsoid Method |
| title_fullStr | Modeling and Control of AC Microgrids Under Unbalanced Utility Grid Voltage Using the Invariant-Ellipsoid Method |
| title_full_unstemmed | Modeling and Control of AC Microgrids Under Unbalanced Utility Grid Voltage Using the Invariant-Ellipsoid Method |
| title_short | Modeling and Control of AC Microgrids Under Unbalanced Utility Grid Voltage Using the Invariant-Ellipsoid Method |
| title_sort | modeling and control of ac microgrids under unbalanced utility grid voltage using the invariant ellipsoid method |
| topic | Renewable microgrids unbalanced utility grid grid feeding grid forming disturbance rejection technique |
| url | https://ieeexplore.ieee.org/document/10896638/ |
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