Robust Decentralized Tracking Voltage Control for Islanded Microgrids by Invariant Ellipsoids
This manuscript presents a robust tracking (servomechanism) controller for linear time-invariant (LTI) islanded (autonomous, isolated) microgrid voltage control. The studied microgrid (MG) consists of many distributed energy resources (DERs) units, each using a voltage-sourced converter (VSC) for th...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-11-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/13/21/5756 |
| _version_ | 1827702943329026048 |
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| author | Hisham M. Soliman Ehab Bayoumi Amer Al-Hinai Mostafa Soliman |
| author_facet | Hisham M. Soliman Ehab Bayoumi Amer Al-Hinai Mostafa Soliman |
| author_sort | Hisham M. Soliman |
| collection | DOAJ |
| description | This manuscript presents a robust tracking (servomechanism) controller for linear time-invariant (LTI) islanded (autonomous, isolated) microgrid voltage control. The studied microgrid (MG) consists of many distributed energy resources (DERs) units, each using a voltage-sourced converter (VSC) for the interface. The optimal tracker design uses the ellipsoidal approximation to the invariant sets. The MG system is decomposed into different subsystems (DERs). Each subsystem is affected by the rest of the system that is considered as a disturbance to be rejected by the controller. The proposed tracker (state feedback integral control) rejects bounded external disturbances by minimizing the invariant ellipsoids of the MG dynamics. A condition to design decentralized controllers is derived in the form of linear matrix inequalities. The proposed controller is characterized by rapid transient response, and zero error in the steady state. A robustness analysis of the control strategy (against load changes, load unbalances, etc.) is carried out. A MATLAB/SimPowerSystems (R2017b, MathWorks, Natick, MA, USA) simulation of the case study confirm the robustness of the proposed controller. |
| first_indexed | 2024-03-10T15:07:34Z |
| format | Article |
| id | doaj.art-f44d116484ac48819525e23f4cda89d0 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T15:07:34Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-f44d116484ac48819525e23f4cda89d02023-11-20T19:37:48ZengMDPI AGEnergies1996-10732020-11-011321575610.3390/en13215756Robust Decentralized Tracking Voltage Control for Islanded Microgrids by Invariant EllipsoidsHisham M. Soliman0Ehab Bayoumi1Amer Al-Hinai2Mostafa Soliman3Department of Electrical and Computer Engineering, Sultan Qaboos University, Muscat 123, OmanDepartment of Electrical and Electronics Engineering, University of Eswatini, Private Bag 4, Kwaluseni M201, SwazilandDepartment of Electrical and Computer Engineering, Sultan Qaboos University, Muscat 123, OmanDepartment of Computer Engineering, Cairo University, Cairo 12613, EgyptThis manuscript presents a robust tracking (servomechanism) controller for linear time-invariant (LTI) islanded (autonomous, isolated) microgrid voltage control. The studied microgrid (MG) consists of many distributed energy resources (DERs) units, each using a voltage-sourced converter (VSC) for the interface. The optimal tracker design uses the ellipsoidal approximation to the invariant sets. The MG system is decomposed into different subsystems (DERs). Each subsystem is affected by the rest of the system that is considered as a disturbance to be rejected by the controller. The proposed tracker (state feedback integral control) rejects bounded external disturbances by minimizing the invariant ellipsoids of the MG dynamics. A condition to design decentralized controllers is derived in the form of linear matrix inequalities. The proposed controller is characterized by rapid transient response, and zero error in the steady state. A robustness analysis of the control strategy (against load changes, load unbalances, etc.) is carried out. A MATLAB/SimPowerSystems (R2017b, MathWorks, Natick, MA, USA) simulation of the case study confirm the robustness of the proposed controller.https://www.mdpi.com/1996-1073/13/21/5756islanded modemicrogriddecentralized controlrobust trackinginvariant set |
| spellingShingle | Hisham M. Soliman Ehab Bayoumi Amer Al-Hinai Mostafa Soliman Robust Decentralized Tracking Voltage Control for Islanded Microgrids by Invariant Ellipsoids Energies islanded mode microgrid decentralized control robust tracking invariant set |
| title | Robust Decentralized Tracking Voltage Control for Islanded Microgrids by Invariant Ellipsoids |
| title_full | Robust Decentralized Tracking Voltage Control for Islanded Microgrids by Invariant Ellipsoids |
| title_fullStr | Robust Decentralized Tracking Voltage Control for Islanded Microgrids by Invariant Ellipsoids |
| title_full_unstemmed | Robust Decentralized Tracking Voltage Control for Islanded Microgrids by Invariant Ellipsoids |
| title_short | Robust Decentralized Tracking Voltage Control for Islanded Microgrids by Invariant Ellipsoids |
| title_sort | robust decentralized tracking voltage control for islanded microgrids by invariant ellipsoids |
| topic | islanded mode microgrid decentralized control robust tracking invariant set |
| url | https://www.mdpi.com/1996-1073/13/21/5756 |
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